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CORRECTIONS AND ADDITIONS TO THE PROPOSAL OF A BENCHMARK FOR

CORE BURNUP CALCULATIONS FOR A VVER-1000 REACTOR

T. Lötsch1), V. Khalimonchuk2), A. Kuchin2),

1): TÜV SÜD Industrie Service GmbH, Energy and Technology (IS-ET), Westendst. 199, 80686 Munich, Germany; 2): State Scientific and Technical Centre for Nuclear and Radiation Safety of

Ukraine (SSTC N&RS), Stusa st. 35-37, 03142 Kyiv, Ukraine

Abstract: At the 19th AER symposium a benchmark on core burnup calculations for VVER-1000 reactors was proposed for further validation and verification of the reactor physics code systems. The work was continued in the framework of a project supported by the German BMU3). During the preparation of the calculations results corrections, refinement and additions the benchmark specification were done. The benchmark includes two stages: the first step comprises the data library preparation for all fuel assembly types used in the core loadings. The second step consists of the 3D core burnup calculation together with calculations of critical states for hot zero power conditions. The benchmark specification contains the description of the fuel assemblies (FA) for the few group data preparation, the core loading patterns and the load follow as well as a set of reference data such as boron acid concentration in the coolant, cycle length, measured reactivity coefficients and power density distributions for successive cycles of a VVER-1000 reactor core. Different reactor physics codes were used to produce solutions. FA burnup codes such as NESSEL, CASMO or HELIOS were used for data preparation. The core calculations were performed using codes such as DYN3D, TRAPEZ as well as several data libraries. The results of the calculations made by different organisations (IBBS, FZD, SSTC) are presented and discussed. The data needed to produce solutions as well as most of the calculated data are attached in the appendices of the paper presented. 3): The work was performed in framework of orders

BMU SR 2511 and BMU R0801504 (SR2611). The report describes the opinion and view of the

contractor - TÜV SÜD Industrie Service GmbH, IS-ET - and does not necessarily represent the opinion of the ordering party - BMU-BfS/GRS.

- Munich, 2010 -

Table of contents

1 Introduction ...................................................................................................... 3

2 Benchmark specification TASK 1: FA data preparation................................... 4

3 Benchmark specification TASK 2: 3D Core Burnup Calculations .................... 5

3.1 Loading patterns, reshuffling schemes and cycle data ................................ 6

3.1.1 Core loading pattern and the cycle data for the 1st cycle ..................... 6

3.1.2 Core reshuffling, loading pattern and reactor data for the 2nd cycle............................................................................................... 6

3.1.3 Core reshuffling scheme, loading pattern and reactor data for the 3rd cycle .................................................................................... 7

3.1.4 Loading pattern and reactor data for the 4th cycle................................ 7

4 Some preliminary results for the benchmark task 1......................................... 7

5 Results of the benchmark task 2 ..................................................................... 8

6 Conclusions ..................................................................................................... 8

7 Bibliography ................................................................................................... 10

8 Appendices: Benchmark specification ........................................................... 12

8.1 Appendix 1: Benchmark specification TASK 1........................................... 12

8.2 Appendix 2: Benchmark specification TASK 2........................................... 25

8.3 Appendix 3: Some preliminary results for the solution of benchmark task 1.......................................................................................................... 67

8.4 Appendix 4: Preliminary results for the benchmark task 2 ......................... 85

1 INTRODUCTION It is common understanding that the codes used for reactor physics calculations of safety related reactor core characteristics should be validated and verified for the cases in which they are to be used ([1]-[4]). These found expression in national requirements (e.g. [1]) as well as in international safety standards for reactor physics assessments (e.g. [2]-[4]). During the validation and verification process the uncertainties of the calculated core characteristics are defined. These data are significant for the safety of the reactor operation and should be considered for the definition of safety set points and margins of the reactor protection system. That is essential because most of them are derived by calculations for each reactor core loading and cycle (see e.g. [5]). On the other hand safety evaluations and assessments for project validations and substantiations mostly base on calculations results. These data should show that the safety goals

1. Reactivity control, 2. Cooling of the fuel assemblies, 3. Confinement of radioactive materials, 4. Limitation of radiation exposure

are ensured during the reactor operation under normal and accident conditions before the reactor startup. Further reactor physics calculations for fuel loadings and cycles should provide information on the observation of

• operational limits and conditions, • action set points for reactor control and safety protection systems, • reactor operation ensuring the compliance with design limits, including core

and fuel design parameters, throughout the service life of the reactor core. New developments in the fuel, FA and core design have to be taken into account. The code packages for reactor physics calculations should be tested, validated and verified for such cases. In the framework of the project R0801504 (SR2611) supported by the German BMU1 the code DYN3D and the associated data libraries should be further validated and verified. The project is based on the results of the work done in the framework of previous BMU projects dealing with the validation and verification of the code packages used for reactor physics calculation within the scope of safety related evaluations and assessments of VVER-1000 reactors (see, e.g., [6]-[10]). The aim of the work is to ensure the applicability of the package of codes and data libraries used for data preparation and reactor core calculations both for steady state and transients in the framework of safety related assessments and evaluation for VVER-1000 reactors in the Ukraine. As mentioned in the paper [11] presented at the 19th AER-Symposium well defined benchmarks for FA and core burnup calculations for reactors of the VVER-440 type exist (see, e.g., [12]-[15]). For VVER-1000 a OECD/NEA benchmark on FA burnup calculations with U2O and MOX fuel [16] and a benchmark investigating the physics of a whole VVER-1000

1 BMU-Vorhaben R0801504 (SR2611), UA-2820 „Verifizierung und Validierung von

Reaktorphysikcodes und Datenbibliotheken für WWER-1000 (AP 8)“

reactor core using two-thirds low-enriched uranium (LEU) and one-third MOX fuel [17] are published. A lack of a benchmark for core burnup calculations for VVER-1000 reactors with modern FA design using GD burnable absorber was noticed. Therefore the development of a benchmark for VVER-1000 reactor core loadings with FA of modern design were proposed for validating and verifying the whole package of codes and data libraries for reactor physics calculations including FA modelling, FA data preparation and reactor core modelling. The basic data for such a benchmark were presented in [11]. The actual paper presents corrections and additions to these data. The benchmark specifies two stages:

1. TASK: The few group data of the FA used in the loadings of the VVER-1000 reactor core should be prepared with the help of codes such as NESSEL [18], CASMO [19], HELIOS [20], WIMS [21] or others. The few group data processing for the preparation of the FA few group data library used in the core calculation is the final step in the 1th benchmark task.

2. TASK: Next step is the modelling of the reactor core and the cycle burnup calculation. At several burnup steps (usually beginning of cycle - BOC, middle of cycle - MOC, end of cycle -EOC - when the boron concentration Cb ≈ 0, effective end of cycle - EOCeff) core characteristics should be calculated, e.g. reactivity coefficients, power density distributions etc.

The benchmark specification and reference values for the comparisons are given in the following. The results required in the benchmark are characteristics related to nuclear safety evaluations. This takes into consideration the requirements stated in the safety standards mentioned above. The FA design, configurations and material compositions described for the 1. task of the benchmark: “FA data preparation”. The results of FA burnup calculations required for comparison as well as results are presented. The main core design characteristics, core loading patterns and reference values are described for the 2nd task of the benchmark. First results obtained by using different reactor physics codes and the FA data libraries are presented and shortly discussed. 2 BENCHMARK SPECIFICATION TASK 1: FA DATA PREPARATION Fuel assemblies of the TVSA design are used beginning with the first core loading. The general view of the TVSA FA is shown in the figure Fig. 1.The relevant design characteristics and material data of the TVSA needed for modelling are provided in the table Tab. 1 (see appendix 1: Benchmark Task 1 Specification) The design of the fuel assemblies of the TVSA type uses stiffening plates in the FA corners to improve geometric stability (see figure Fig. 2). The design details of the stiffening angel plates are shown in the figures Fig. 3 and 4. Data of the materials

and compositions used in the design of the stiffening angels are provided also in table Tab. 1. The several core loadings use TVSA assemblies with different enrichment, different numbers of fuel pins with different enrichment (radial profiling) as well as different pin numbers with burnable absorber and weight percentage of the burnable absorber material Gd2O3 mixed with different enriched UO2 fuel. The various TVSA FA designs used in the reactor core loading patterns are listed in the table Tab. 2. The table Tab. 2 profides also the design data for the fuel pins with burnable absorber and the control rods (CRD). The pin lattice layouts of the different FA types are shown in the figures Fig. 4 - Fig. 10. The FA burnup has to be calculated for all FA types listed in the table Tab. 2. Average state parameter values are used for the burnup calculations. Here the parameter values chosen in the following way:

• Fuel temperature 1005 K, • Moderator temperature 578 K, • Boron concentration 525 ppm, • Averaged power density 168 W/cm (42,5 W/gU).

Further calculations with various state parameter variations are needed to build a FA data library. In a first step the following properties should be analyzed:

• Multiplication factor k∞ vs. burnup, • Nuclid density vs. burnup of the following burnable fuel isotopes:

- 235U, - 238U, - 239Pu, - 240 Pu, - 241 Pu, - 155Gd, - 157Gd,

• Nuclid density vs. burnup of the following fission products - Xe135, - Sm149

The tables and figures are provided in the appendix 8.1. 3 BENCHMARK SPECIFICATION TASK 2: 3D CORE BURNUP CALCULATIONS The main core characteristics are given in table Tab. 3. The core of the VVER-1000 reactor chosen for the benchmark is loaded with only TVSA FAs from the beginning of first cycle. This excludes the necessity of the investigation of so-called mixed reactor cores (see [4], 3.106.). The figures Fig. 11 and Fig. 12 show the configuration of the control rod groups (CRD), i.e. the radial positions of the control rods in the core, and of the in-core

instrumentation, i.e. the positions of the self powered neutron detectors (SPND) and of the thermocouples in the core. The radial, top and bottom axial reflector configuration and the respective materials are given in table Tab. 4 . For the cycle calculation the data of the reactor operation are given. So the burnup calculation can model the power load during the cycle very close to the real situation. These data cover the reactor power load, core coolant inlet temperature and the position of the working CRD group. A brief description of the reshufflings, core loading patterns and cycle data for the core burnup modelling is presented in the following sections. The tables with the data and the figures are presented in the appendix 8.2. 3.1 Loading patterns, reshuffling schemes and cycle data The following paragraph presents the reactor core loading patterns for the cycles to be modelled and the FA types used together with the reshuffling schemes. The reactor power loads and other cycle data relevant for the cycle burnup calculations are presented. 3.1.1 Core loading pattern and the cycle data for the 1st cycle The loading pattern for the first cycle consists of 5 different FA types of TVSA design. The table Tab. 5 shows the main design characteristics of the fresh fuel. The core configuration is presented in the figure Fig. 13. The table Tab. 6 provides the data of the reactor power load, the axial position of the working CRD group No. 10 and other relevant core parameters needed for the cycle burnup calculation. The EOC-1 (Cb ~ 0) is reached after ca. 304 EFPD. The reactor was shutdown for reloading after 311.74 EFPD. 3.1.2 Core reshuffling, loading pattern and reactor data for the 2nd cycle After the EOC-2 of the first cycle the following FA are discharged: - 48 FA of the type 13AU (averaged burnup: 11.42 MWd/kg. The loading pattern consists of 48 fresh FA: 18 TVSA of the type 390GO and 30 of the type 430GO. 115 fuel assemblies of the TVSA design are used in the previous cycle. An overview of the FA used in the core of the second cycle are given in the table Tab. 7. The reshuffling scheme for the second fuel loading is presented in figure Fig. 14. The figure Fig. 15 presents the reactor core loading pattern. The configuration of the control rods, SPND and thermocouples remains unchanged. The relevant cycle data such as reactor power load, axial position of the working CRD group etc. are given in table Tab. 8.

The boron concentration was close to 0 (EOC-1) after 301 EFPD. The reactor was shutdown for reloading after 324 EFPD. 3.1.3 Core reshuffling scheme, loading pattern and reactor data for the 3rd cycle During the reloading the following FA are discharged: - 38 FA of the type 22AU (2.20%, averaged burnup: 26.39MWd/kg) after 2 cycles, - 2 FA of the type 30AV5 (2,98%, averaged burnup: 29.89 MWd/kg) after 2 cycles, - 2 FA of the type 390GO (3,90%, averaged burnup:26.72 MWd/kg) after 2 cycles. The loading pattern consists of 42 fresh FA: 36 TVSA of the type 439GT and 6 of the type 398GO. 121 fuel assemblies of the TVSA design are used in the previous cycles: 48 FA in the 2. cycle and 73 FA in the 1. cycle. The FA loaded for the 3rd cycle are presented in table Tab. 9. The reshuffling scheme and the core loading pattern are given in the figures Fig. 16 and Fig. 17, respectively. The table Tab. 10 provides the reactor data needed for the burnup calculation in the 3rd cycle. The length of the 3rd cycle was 287 EFPD when the boron concentration was nearly zero. At the 317. EFPD the reactor was shutdown for maintenance and reloading. 3.1.4 Loading pattern and reactor data for the 4th cycle For the 4th cycle the following FA of TVSA design were discharged: - 4 FA of the type 22AU (2.20%, averaged burnup: 29.90MWd/kg) after 3 cycles, - 35 FA of the type 30AV5 (2,98%, averaged burnup: 37.01 MWd/kg) after 3

cycles, - 7 FA of the type 390GO (3,90%, averaged burnup: 42.87 MWd/kg) after 3 cycles. Fresh fuel was loaded in the core in the following amount: - 6 FA of the type 398GO (3.99%), - 36 FA of the type 439GT (4.39%). 121 FA were used in the previous cycles. The fuel loaded in the core for the 4th cycle is shown in the table Tab. 11. The reshuffling scheme is shown in the figure Fig. 18. The figure Fig. 19 presents the core loading pattern. The cycle data are provided in table Tab. 12. The EOC-1 was reached after 283 EFPD and the reactor shutdown was carried out at EFPD=288 EFPD. 4 SOME PRELIMINARY RESULTS FOR THE BENCHMARK TASK 1 FA data were prepared with the codes NESSEL [19], CASMO [20] and HELIOS [21]. Here the first results of the analysis of the multiplication factors k∞ are presented. The respective tables and the figures are provided in the appendix 3 (section 8.3).

The comparison of the multiplication factors shows that the different FA burnup models give at the beginning very similar results whereas at the end of the burnup calculations the differences are larger. The standard deviations are in the region of 0.18 % (HELIOS, FA 30AV5) up to 0.67% (NESSEL, FA 30AV5). The relative deviations are in the range (-1.62 NESSEL – +1.24 CASMO). The remarkable fact is that the maximum deviations are obtained for FA designs with relatively uniform pin layout. 5 RESULTS OF THE BENCHMARK TASK 2 The core calculations were carried out with the codes DYN3D [23] and TRAPEZ [23]. Some preliminary results of the core burnup calculation for the calculated four cycles are presented in the section 8.4. For the burnup calculations three few group data libraries were used: The first library was prepared with the help of the code NESSEL [18] by IBBS. The FA burnup code CASMO [19] was used to prepare the second few group FA data library. Another cross section library was produced with the help of the code HELIOS [20] by the SSTC NRS of Ukraine. The core burnup calculations with the different libraries were compared with the measured data. The results of the calculations carried out by the utility were included in the comparison. The differences between the calculated boron concentrations are evident, but at first sight acceptable. Especially, the relative large differences in the critical boron concentrations calculated for 1st cycle are remarkable. At the beginning of the reactor operation with the 1st core loading the reactor core is characterised by a relatively non uniform core loading with different FA types, different fuel enrichment etc. These differences become lesser during the reactor core burnup and for the next core loadings. That is clearly shown by the boron concentration curves vs. core burnup for the four cycles (see the figures Fig. 24 - Fig. 27). However, more detailed analysis is necessary to explain and improve the results. 6 CONCLUSIONS A benchmark for core burnup calculation for a VVER-1000 reactor core is proposed. The relevant data for the performance of calculations and comparisons are provided. Summarising the actual status of the benchmark it can be stated that three different FA data libraries are available for the benchmark:

– NESSEL (prepared by IBBS) – CASMO (perpared by TUV) – HELIOS (prepared by SSTC)

Core burnup calculations for four consecutive cycles are performed with the codes: – TRAPEZ & NESSEL library (IBBS), – DYN3D & NESSEL library (SSTC, relativly old?), – DYN3D & CASMO library (SSTC, FZD, TUV), – DYN3D & HELIOS library (SSTC, FZD).

The results calculated by the utility for safety analysis were also used. Analysis of the calculated data has started and is going on. First results show an acceptable agreement with measured data. But further investigations are necessary to make a conclusion about the quality of the calculations. Further statistical analysis of the big amount of data is necessary to explain and improve the results as well as to conclude about the accuracy and reliability of the calculation results. Future work comprises the preparation of the final data collection for the benchmark specification and the results calculated by the several code systems. The core burnup benchmark for a reactor of VVER-1000 type presented in the paper makes it possible to analyse the whole complex of codes used for reactor physics calculations such as

– codes for FA data preparation and – data libraries as well as – codes for steady state core calculations.

The reactor physics code systems can be analysed in relation to the accuracy of the calculated safety parameters for VVER-1000 reactors. Furthermore it can be validated and verified the particular parts of the code systems such as

– FA burnup modelling, data preparation and data libraries, – FA shuffling and (may be) history effects – calculation of the main safety related core characteristics.

For that purpose the benchmark can be extended with other tasks or exercises if required. The BMU project mentioned in the introduction is going to be continued. So the benchmark can be completed with additional data and analysis in the near future.

7 BIBLIOGRAPHY

[1] KTA - Safety Standard of the Nuclear Safety Standards Commission (KTA), KTA 3101.2 (Issue 12/87): Design of Reactor Cores of Pressurized Water and Boiling Water Reactors, Part 2: Neutron-Physical Requirements for Design and Operation of the Reactor Core and Adjacent Systems (December 1987)

[2] IAEA Safety Standard No. NS-G-1.2: Safety Assessment and Verification for Nuclear Power Plants, Safety Guide, IAEA, Vienna, 2001

[3] IAEA Safety Standard No. NS-G-2.5: Core Management and Fuel Handling for Nuclear Power Plants, IAEA, Vienna, 2002

[4] IAEA Safety Standard No. NS-G-1.12: Design of the Reactor Core for Nuclear Power Plants, Safety Guide, IAEA, VIENNA, 2005

[5] T. Lötsch: Evaluations of Reactor Physical Design of Core Fuel Reloadings of Pressurized Water Reactors, Proceedings of the 5th Symposium of AER, Dobogokö, Hungary, October 15-20, 1995, p. 97

[6] T. Lötsch, Yu. P. Kovbasenko, M. L. Yeremenko: Calculation Modelling of Fuel Assemblies of VVER1000 Type with the Use of Burnable Absorbers Gadolinium; Comparative Analysis, Proceedings of the 11th AER Symposium on VVER Reactor Physics and Reactor Safety, Csopak, Hungary, Sept. 24÷28, 2001, p.763-778

[7] T. Lötsch, Yu. P. Kovbasenko: Results of Benchmark Calculation with the Codes NESSEL and CASMO, Proceedings of the 13th Symposium of AER, Dresden, Germany, Sept. 22-26, 2003, p. 123

[8] T. Lötsch, Yu. P. Kovbasenko: Benchmark Calculation with the Codes NESSEL and CASMO, Proceedings of the 14th Symposium of AER, Espoo, Finland, 13-17.09.2004, p. 81

[9] T. Lötsch, M. Nuding: Measurement of Reactivity Coefficients for Code Validation, Proceedings of the 15th Symposium of AER, Znojmo, Czech Republic, October 3 - 7, 2005, p. 349

[10] T. Lötsch, A. Kuchin, Yu. Ovdiyenko: Comparison of CASMO and NESSEL few group cross section libraries and their usage in DYN3D, Proceedings of the 17th Symposium of AER, Yalta, Crimea, Ukraine, September 24-29, 2007, p. 217

[11] T. Lötsch, V. Khalimonchuk, A. Kuchin: Proposal of a benchmark for core burnup calculations for a VVER-1000 reactor core, Proceedings of the 19th AER Symposium on VVER Reactor Physics and Reactor Safety, St. St. Constantine and Elena resort, Bulgaria, Sept. 21÷25, 2009, p.53

[12] P. Mikolas: Results of the benchmark for VVER440 with Gd2O3+UO2 pins burnup comparison, Proceedings of the 12th AER Symposium on VVER Reactor Physics and reactor safety, Sunny Beach, Bulgaria, Sept. 22. – 28. 2002, p. 163

[13] P. Mikolas: Summary of Benchmark for VVER-440 with Gd2O3 + UO2 Pins Burnup Comparisons, Proceedings of the 13th Symposium of AER, Dresden, Germany, 22-26 Sept. 2003, p. 29

[14] György Hegyi, András Keresztúri, Csaba Maráczy: Solution of the new Dukovany Benchmark using the new version of KARATE-440 code Proceedings of the 18th Symposium of AER, Eger, Hungary, October 6-10, 2008

[15] Gy. Hegyi, G. Hordósy, A. Keresztúri, Cs. Maráczy, E. Temesvári: Solution of the Dimitrovgrad Fuel Composition Benchmark with the KARATE-440 Code System, Proceedings of the 18th Symposium of AER, Eger, Hungary, October 6-10, 2008

[16] OECD/NEA: A VVER-1000 LEU and MOX Assembly Computational Benchmark. Specification and Results, NEA/NSC/DOC(2002)10, OECD 2002

[17] OECD/NEA No. 6088: VVER-1000 MOX Core Computational Benchmark. Specification and Results, NEA/NSC/DOC(2005)17, OECD 2006

[18] W.-R. Blank, H. Heinrich, Programm NESSEL-4 zur Berechnung des Spektrums und neutronen-physikalischer Eigenschaften von Brennstoffgittern , Beschreibung der physikalischen Grundlagen, Juni 1994, Schulz G.: NESSEL Code Manual Version 6.09a, K.A.B. GmbH, Berlin, 1998

[19] Studsvik: CASMO-4 - A fuel assembly burn up program, Version 1.28.05, Studsvik/SOA-95/1, 1995

[20] Casal, J.J. et. al, “HELIOS: Geometric Capabilities of a New Fuel-Assembly Program”, Proc. Int. Topl. Mtg. Advances in Mathematics, Computations, and Reactor Physics, Pittsburgh, Pennsylvania, April 28-May 2, 1991, Vol. 2, p. 10.2.1-1

[21] Coll.: WIMS - A Modular Scheme for Neutronics Calculations, User Guide for Version 8, ANSWERS/WIMS(99)9, Winfrith, 1999

[22] U.Grundmann, U.Rohde, S.Mittag, S.Kliem: DYN3D Version 3.2, Code for Calculation of Transients in Light Water Reactor with Hexagonal or Quadratic Fuel Elements, FZR, August 2005

[23] G. Schulz, Code Manual DSET Version 5.0 01.06.1999, G. Schulz, Code Manual TRAPEZ; K.A.B. GmbH, Berlin, June 1999

8 APPENDICES: BENCHMARK SPECIFICATION 8.1 Appendix 1: Benchmark specification TASK 1 The first task of the benchmark consist of the FA modelling and burnup calculation for every FA type needed for the reactor core calculations. For the benchmark the following data are needed:

1. Multiplication factor К∞ vs. burnup, 2. Nuclid density vs. burnup of the following burnable fuel isotopes:

a. 235U, b. 238U, c. 239Pu, d. 240 Pu, e. 241 Pu, f. 155Gd, g. 157Gd,

3. Nuclid density vs. burnup of the following fission products a. Xe135, b. Sm149

The design data and material compositions are presented in the following tables and figures. Results are provided in appendix 3 (8.3).

Fuel assembly top nozzle Guide tube Stiffening angle Spacer grid Fuel assembly bottom nozzle

Fig. 1: General view of the TVSA

Fig. 2: TVSA Stiffening angel plate

Tab. 1: Basic design data of the fuel assemblies TVSA and their

components

Description of the FA design data Value

Averaged core state characteristics for

burnup calculation

Fuel temperautre, K 1005

Moderator temperature, K 578

Boron concentration, ppm 525 (3 g/kg)

Average power density, W/cm (W/gU) 168 (42.5)

Burnup, MWd/kg 0, …, 60

General Design Data

Length of TVSA, mm 4570

Mass of TVSA, kg ca. 730

Assembly pitch, mm 234,8

Assembly lattice pitch in the core, mm 236.0

Lattice type hexagonal

Number of pins in the TVSA 312

Mass of UO2 or (UO2+Gd2O3) in TVSA, kg 491,4±4,5

Fuel pin rod

Number of fuel pins 312

Lattice layout uniform triangular

Lattice pitch, mm 12,75

Outer diameter of the pins, mm 9,10

Inner diameter of the pin clad, mm 7,73

Material of the fuel pin cladding alloy Э110

Composition, % 98.97 Zr+1 Nb+ 0.03 Hf

Density, g/cm3 6.4516

Material of the fuel pellet sintered UO2

Mass of the fuel UO2 in the fuel pin, kg ca. 1,575

Length of the fuel column in the pin, mm 3530

Outer diameter of the fuel pellet, mm 7,57

Diameter of the pellet central hole, mm 1,50


Maximum linear power density, W/cm: 448

Burnable absorber pin

Number of Gd absorber rods in the TVSA 6

Absorber material Gd2O3

Mass fraction of Gd2O3 in the fuel of the

absorber rods, % w/o

5

Maximum linear power density, W/cm: 360

Guide Tubes

Number of guide tubes 18

Material alloy Э265

Composition, % 98.47Zr+1Nb+1.3Sn+0.3Fe

Density, g/cm3 6.55

Outer diameter, mm 12,6

Inner diameter, mm 10,9

Central Guide Tube


Composition, % 98.47Zr+1Nb+1.3Sn+0.3Fe

Density, g/cm3 6.55

Outer diameter, mm 13,0

Inner diameter, mm 11,0

Spacer grids

Number 15

Number in the active part of the core 13


Composition, % 98.97 Zr+1 Nb+0.03 Hf

Density, g/cm3 6.45157

Mass of one spacer grid, kg 0,55

Stiffening angel plates

Number 6


Composition 98.47Zr+1Nb+1.3Sn+0.3Fe


Density, g/cm3 6.55

Width, mm 25

Thickness, mm 0,65

Mass of one stiffening angle, kg 1,4

Control rod cluster

Number of control rods 18

Absorber material of the control rods

- upper part

- lower part

B4C

Dy2O3 • TiO3

Length of the absorber column, mm

- general

- upper part

- lower part

3500

3200

300

Density of the absorber material, g/cm3

- upper part (B4C)

- lower part (Dy2O3 • TiO3)

1,8

5,1

Composition of B4C, % 10B14.3346, 11B63.918, C 21.736

Composition of (Dy2O3 • TiO3), % 10O29.647, 11Ti37.020, 158Dy0.0338, 160Dy0.7808, 161Dy6.3369, 162Dy8.5047, 163Dy8.3050, 164Dy9.3717

Outer diameter of the control rod clad,

mm

8,2

Thickness of the control rod clad, mm 0,6

Material steel 06X18H10T

Density of the control rod clad, g/cm3 7.75

Composition, % 0.08C, 18.5Cr, 1.5Ni, 1Ti

,69.92FE

Tab. 2: TVSA FA types used in the reactor core loading patterns

FA Design

FA Type

Enrichment/ Pufiss-content

(w/o %)

No. of UO2 pins /

enrichment

Number of Gd-pins

(w/o Gd2O3/235U)

Diameter of the central hole, (mm)

TVSA 13AU 1.30 312 / 1.30 -- 1.5 TVSA 22AU 2.20 312 / 2.20 -- 1.5 TVSA 30AV5 2.99 303 / 3.00 9 (5.0/2.4) 1.5 TVSA 39AWU 3.90 243 / 4.00

60 / 3.60 9 (5.0/3.3) 1.5

TVSA 390GO 3.90 240 / 4.00 66 / 3.60

6 (5.0/3.3) 1.5

TVSA 398GO 3.99 306 / 4.40 6 (5.0/3.3) 1.5 TVSA 430GO 4.30 240 / 4.40

66 / 4.00 6 (5.0/3.6) 1.5

TVSA 439GT 4.39 306 / 4.40 6 (5.0/3.6) 1.5

Fig. 3: Design of the stiffening plates of the TVSA

Central guide tube Guide tube

Fuel pin with enrichment 1.3 % (13AU) / 2.2 % (22AU) 235U

Fig. 4: Pin layout of fuel assembly types 13AU and 22AU

1 2 3

4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20 21

22 23 24 25 26 27 28 29 30 31 32 33 34 35 36

37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55

56 57 58 59 60 62 63 64 65 66 67 68 69 71 72 74 75 76

77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97

98 99 100 101 102 103 104 105 106 107 108 109 110 112 114 115 117 118

119 120 121 122 123 124 126 127 128 129 130 131 132 133 134 135 136 137 138 139

140 141 142 143 144 145 146 147 148 149 150 151 152 153 155 156 157 158 159 160

161 162 164 165 167 168 170 171 172 173 174 175 176 177 179 180 181

182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202

203 204 205 206 208 209 210 211 212 213 214 215 217 218 220 222 223

224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244

245 246 247 248 249 250 251 252 253 254 255 256 257 258 260 261 263 264 265

266 267 268 269 270 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286

287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303

304 305 306 307 308 309 310 311 312 313 314 315 316

317 318 319 320 321 322 323 324 325

326 327 328 329 330

331


Fuel pin with enrichment 3.0 % 235U

Burnable absorber pin with 2.4 % 235U and 5.0 Gd2O3 Fig. 5: Pin layout of fuel assembly type 30AV5

1 2 3

4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20 21

22 23 24 25 26 27 28 29 30 31 32 33 34 35 36

37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55

56 57 58 59 60 62 63 64 65 66 67 68 69 71 72 74 75 76

77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97

98 99 100 101 102 103 104 105 106 107 108 109 110 112 114 115 117 118

119 120 121 122 123 124 126 127 128 129 130 131 132 133 134 135 136 137 138 139

140 141 142 143 144 145 146 147 148 149 150 151 152 153 155 156 157 158 159 160

161 162 164 165 167 168 170 171 172 173 174 175 176 177 179 180 181

182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202

203 204 205 206 208 209 210 211 212 213 214 215 217 218 220 222 223

224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244

245 246 247 248 249 250 251 252 253 254 255 256 257 258 260 261 263 264 265

266 267 268 269 270 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286

287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303

304 305 306 307 308 309 310 311 312 313 314 315 316

317 318 319 320 321 322 323 324 325

326 327 328 329 330

331

Central guide tube Guide tube Fuel pin with enrichment 4.0 % 235U Fuel pin with enrichment 3.6 % 235U Burnable absorber pin with 3.3 % 235U and 5.0 % Gd2O3 Fig. 6: Pin layout of fuel assembly type 39AWU

1 2 3

4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20 21

22 23 24 25 26 27 28 29 30 31 32 33 34 35 36

37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55

56 57 58 59 60 62 63 64 65 66 67 68 69 71 72 74 75 76

77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97

98 99 100 101 102 103 104 105 106 107 108 109 110 112 114 115 117 118

119 120 121 122 123 124 126 127 128 129 130 131 132 133 134 135 136 137 138 139

140 141 142 143 144 145 146 147 148 149 150 151 152 153 155 156 157 158 159 160

161 162 164 165 167 168 170 171 172 173 174 175 176 177 179 180 181

182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202

203 204 205 206 208 209 210 211 212 213 214 215 217 218 220 222 223

224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244

245 246 247 248 249 250 251 252 253 254 255 256 257 258 260 261 263 264 265

266 267 268 269 270 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286

287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303

304 305 306 307 308 309 310 311 312 313 314 315 316

317 318 319 320 321 322 323 324 325

326 327 328 329 330

331

Central guide tube Guide tube Fuel pin with enrichment 4.0 % 235U

Fuel pin with enrichment 3.6 % 235U Burnable absorber pin with 3.3 % 235U and 5.0 Gd2O3 Fig. 7: Pin layout of fuel assembly type 390GO

1 2 3

4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20 21

22 23 24 25 26 27 28 29 30 31 32 33 34 35 36

37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55

56 57 58 59 60 62 63 64 65 66 67 68 69 71 72 74 75 76

77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97

98 99 100 101 102 103 104 105 106 107 108 109 110 112 114 115 117 118

119 120 121 122 123 124 126 127 128 129 130 131 132 133 134 135 136 137 138 139

140 141 142 143 144 145 146 147 148 149 150 151 152 153 155 156 157 158 159 160

161 162 164 165 167 168 170 171 172 173 174 175 176 177 179 180 181

182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202

203 204 205 206 208 209 210 211 212 213 214 215 217 218 220 222 223

224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244

245 246 247 248 249 250 251 252 253 254 255 256 257 258 260 261 263 264 265

266 267 268 269 270 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286

287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303

304 305 306 307 308 309 310 311 312 313 314 315 316

317 318 319 320 321 322 323 324 325

326 327 328 329 330

331



Burnable absorber pin with 3.3 % 235U and 5.0 Gd2O3 Fig. 8: Pin layout of fuel assembly type 398GO

1 2 3

4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20 21

22 23 24 25 26 27 28 29 30 31 32 33 34 35 36

37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55

56 57 58 59 60 62 63 64 65 66 67 68 69 71 72 74 75 76

77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97

98 99 100 101 102 103 104 105 106 107 108 109 110 112 114 115 117 118

119 120 121 122 123 124 126 127 128 129 130 131 132 133 134 135 136 137 138 139

140 141 142 143 144 145 146 147 148 149 150 151 152 153 155 156 157 158 159 160

161 162 164 165 167 168 170 171 172 173 174 175 176 177 179 180 181

182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202

203 204 205 206 208 209 210 211 212 213 214 215 217 218 220 222 223

224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244

245 246 247 248 249 250 251 252 253 254 255 256 257 258 260 261 263 264 265

266 267 268 269 270 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286

287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303

304 305 306 307 308 309 310 311 312 313 314 315 316

317 318 319 320 321 322 323 324 325

326 327 328 329 330

331

Central guide tube Guide tube Fuel pin with enrichment 4.4 % 235U

Fuel pin with enrichment 4.0 % 235U Burnable absorber pin with 3.6 % 235U and 5.0 Gd2O3 Fig. 9: Pin layout of fuel assembly type 430GO

1 2 3

4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20 21

22 23 24 25 26 27 28 29 30 31 32 33 34 35 36

37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55

56 57 58 59 60 62 63 64 65 66 67 68 69 71 72 74 75 76

77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97

98 99 100 101 102 103 104 105 106 107 108 109 110 112 114 115 117 118

119 120 121 122 123 124 126 127 128 129 130 131 132 133 134 135 136 137 138 139

140 141 142 143 144 145 146 147 148 149 150 151 152 153 155 156 157 158 159 160

161 162 164 165 167 168 170 171 172 173 174 175 176 177 179 180 181

182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202

203 204 205 206 208 209 210 211 212 213 214 215 217 218 220 222 223

224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244

245 246 247 248 249 250 251 252 253 254 255 256 257 258 260 261 263 264 265

266 267 268 269 270 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286

287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303

304 305 306 307 308 309 310 311 312 313 314 315 316

317 318 319 320 321 322 323 324 325

326 327 328 329 330

331



Burnable absorber pin with 3.6 % 235U and 5.0 Gd2O3 Fig. 10: Pin layout of fuel assembly type 439GT

1 2 3

4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20 21

22 23 24 25 26 27 28 29 30 31 32 33 34 35 36

37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55

56 57 58 59 60 62 63 64 65 66 67 68 69 71 72 74 75 76

77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97

98 99 100 101 102 103 104 105 106 107 108 109 110 112 114 115 117 118

119 120 121 122 123 124 126 127 128 129 130 131 132 133 134 135 136 137 138 139

140 141 142 143 144 145 146 147 148 149 150 151 152 153 155 156 157 158 159 160

161 162 164 165 167 168 170 171 172 173 174 175 176 177 179 180 181

182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202

203 204 205 206 208 209 210 211 212 213 214 215 217 218 220 222 223

224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244

245 246 247 248 249 250 251 252 253 254 255 256 257 258 260 261 263 264 265

266 267 268 269 270 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286

287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303

304 305 306 307 308 309 310 311 312 313 314 315 316

317 318 319 320 321 322 323 324 325

326 327 328 329 330

331

8.2 Appendix 2: Benchmark specification TASK 2 Tab. 3: Main reactor core characteristics

No. Characteristic

Type of reactor VVER-1000/320

1 Core lattice type Hexagonal

2 Fuel assembly pitch, cm 23.6

3 Number of fuel assembly 163

4 Number of fuel assemblies with control rod cluster

61

5 Height of the fuel in the core, cm 355

6 Inner diameter of of the reactor pressure vessel (in cylindrical part), cm

415

7 Location of the channel for the incore detectors in the FA

central

7 Thermal power, MW 3000

8 Coolant (moderator) H2O + H3BO3 (water + boron acid)

9 Coolant flow rate, m3/h 88000

10 Coolant pressure at core outlet, MPa 15,7

11 Average coolant temperature, K 578

12 Coolant temperature at core inlet, K 563,15

13 Coolant temperature at core outlet, K 592,75

Tab. 4: Characteristics of the radial, axial, top and bottom reflectors

Radial reflector

1-st layer inner radius 158.2 cm 1-st layer outer radius 162.2 cm 1-st layer composition Steel (Fe – 69.5, Cr – 18., Ni – 11., Mn – 1.5 wt%) 2-d layer outer radius 173.5 cm 2-d layer composition Moderator – 45.6, Steel – 54.4 vol% 3-d layer outer radius 174.5 cm 3-d layer composition Moderator 4-th layer outer radius 180.5 cm 4-th layer composition Steel (Fe – 69.5, Cr – 18., Ni – 11., Mn – 1.5 wt%) 5-th layer outer radius 206.95 cm 5-th layer composition Moderator 6-th layer outer radius 226.75 cm 6-th layer composition Steel (Fe – 69.5, Cr – 18., Ni – 11., Mn – 1.5 wt%)

Axial bottom reflector

1-st layer inner radius 177.5 cm 1-st layer outer radius 179.8 cm 1-st layer composition Moderator – 58, Steel – 7, Zircaloy - 35 vol% 2-d layer outer radius 181.5 cm 2-d layer composition Moderator – 57, Steel – 33, Zircaloy - 10 vol% 3-d layer outer radius 206.5 cm 3-d layer composition Moderator – 67, Steel – 33 vol%

Axial top reflector

1-st layer inner radius 177.5 cm 1-st layer outer radius 199.7 cm 1-st layer composition Moderator – 56, Steel - 2.0, Zircaloy - 11.8 vol% 2-d layer outer radius 204.2 cm 2-d layer composition Moderator – 56, Steel - 1.9, Zircaloy - 30.6 vol% 3-d layer outer radius 209.7 cm 3-d layer composition Moderator – 98.9, Steel - 1.1 vol%

Fig. 11: Positions of the Control Rod Groups in the reactor core

Fig. 12: Positions of the Self Powered Neutron Detectors in the reactor

core

Tab. 5: FA types loaded in the core for the 1st cycle

FA Design

FA Type

Enrichment/

(w/o %)

No. of UO2 pins /

enrichment

Number of Gd-pins

(w/o Gd2O3/

235U)

No. of FA in the

core

Resi-dence time

Diameter of the central

hole (mm) TVSA 13AU 1.30 312 / 1.30 - 48 0 1.5 TVSA 22AU 2.20 312 / 2.20 - 42 0 1.5 TVSA 30AV5 2.99 303 / 3.00 9 (5.0/2.4) 37 0 1.5 TVSA 39AWU 3.90 243 / 4.00

60 / 3.60 9 (5.0/3.3) 24 0 1.5

TVSA 390GO 3.90 240 / 4.00 66 / 3.60

6 (5.0/3.3) 12 0 1.5

Total 163

Fig. 13: Core loading pattern of the 1st cycle

Tab. 6: Reference cycle data for the 1st

cycle

Teff HSZ, % Nt, MW OFFSET G, m3/h Cb, g/kg Tinlet, C

0,00 85,34 1490,7 -8,44 88610,3 5,20 282,6 4,51 85,34 1490,7 -8,44 88610,3 5,20 282,6 4,99 82,88 1485,6 -5,62 88600,9 5,07 282,4 5,49 84,96 1486,4 -8,15 88541,6 4,95 282,3 5,98 80,78 1500,8 -4,49 88544,5 4,95 282,4 6,48 77,18 1504,1 -9,42 88629,1 4,95 282,4 6,98 79,12 1495,2 -10,80 88579,3 4,95 282,3 7,45 78,66 1486,9 -5,15 88672,5 4,9 282,5 7,83 79,87 1492,1 -8,25 88562,9 4,95 282,7 8,33 80,23 1499,5 -9,45 88572,0 5 282,6 8,83 79,97 1677,1 -7,31 88478,0 5 283,3 9,55 81,05 2241,2 -10,58 88416,1 4,82 285,1

10,29 80,11 2238,7 -10,43 88456,0 4,7 284,9 11,04 79,28 2253,2 -11,11 88484,5 4,64 285,0 11,79 81,88 2244,3 -11,52 88522,5 4,64 284,9 12,26 75,16 1237,2 -11,17 88685,2 4,95 281,3 12,68 75,16 1232,2 -8,96 88664,6 5,05 281,4 13,26 85,39 2247,6 -9,05 88434,9 4,87 285,0 14,01 85,38 2256,2 -9,08 88378,3 4,71 285,1 14,76 85,39 2279,2 -9,16 88404,2 4,76 285,2 15,51 76,80 2260,8 -8,40 88484,0 4,63 285,0 16,27 85,38 2275,9 -13,44 88323,3 4,7 284,9 17,03 85,39 2265,6 -11,89 88358,5 4,7 284,9 17,79 85,39 2278,7 -9,88 88437,1 4,67 284,8 18,55 84,78 2276,0 -9,01 88491,8 4,67 285,0 19,28 69,80 2263,3 -12,09 88381,6 4,64 285,3 20,70 81,95 2270,7 -9,13 88436,0 4,7 285,3 21,46 80,86 2283,5 -9,63 88456,5 4,63 285,2 22,22 79,89 2288,4 -10,71 88387,8 4,63 285,1 23,19 81,89 2254,3 -9,47 88288,2 4,95 285,4 24,02 81,91 2283,4 -9,85 88310,9 4,48 285,2 24,60 79,82 2252,6 -9,95 88419,3 4,7 285,6 25,36 82,56 2293,0 -10,33 88432,7 4,7 285,6 26,12 79,71 2286,1 -10,25 88301,9 4,7 285,5 26,91 79,45 2282,8 -10,11 88294,0 4,7 285,7 27,68 79,34 2467,9 -9,08 88356,4 4,7 286,3 28,56 83,73 2666,4 -9,42 88413,5 4,57 287,0 29,45 84,37 2694,2 -9,90 88319,7 4,54 287,2 30,34 83,78 2689,5 -9,91 88245,4 4,51 286,9 31,23 78,18 2667,3 -10,99 88345,7 4,51 287,1 32,12 77,96 2687,6 -10,98 88393,4 4,51 287,1 33,02 77,72 2686,5 -10,88 88292,4 4,45 287,1 33,92 79,21 2708,4 -10,66 88333,9 4,45 287,2 34,82 79,30 2690,3 -10,24 88374,4 4,45 287,1


35,72 79,11 2702,5 -10,36 88329,0 4,45 287,1 36,65 81,44 2835,0 -9,89 88343,8 4,45 287,2 37,60 80,19 2861,9 -10,74 88190,5 4,42 287,3 38,54 79,78 2839,1 -11,17 88155,3 4,39 287,2 39,50 79,25 2864,1 -10,47 88314,9 4,39 287,3 40,45 80,74 2851,7 -10,59 88288,3 4,39 287,2 41,40 80,84 2857,1 -10,28 88333,2 4,36 286,9 42,35 79,25 2862,0 -9,46 88377,0 4,42 287,1 43,31 81,52 2887,0 -10,55 88360,0 4,42 287,2 46,82 84,28 2968,0 -9,65 88233,1 4,39 287,5 47,81 82,77 2964,8 -9,78 88233,3 4,32 287,5 48,80 83,79 2993,2 -10,53 88211,6 4,36 287,7 56,99 84,46 2972,8 -8,51 88099,8 4,27 287,6 57,98 84,22 2955,1 -7,98 88155,4 4,27 287,5 58,97 85,38 2976,0 -8,54 88106,5 4,27 287,5 59,96 85,04 3001,2 -8,84 88060,8 4,23 287,7 60,96 84,89 2977,1 -7,99 88229,3 4,23 287,5 61,95 85,09 2994,5 -9,77 88280,5 4,2 287,5 62,95 85,14 2978,1 -8,73 88236,7 4,2 287,4 63,94 85,34 2989,8 -8,61 88247,9 4,17 287,5 64,94 85,17 2989,4 -9,44 88201,2 4,14 287,5 65,93 85,39 2982,1 -7,82 88206,8 4,14 287,6 66,93 85,94 2994,3 -7,88 88270,9 4,11 287,5 67,93 84,35 3006,2 -7,61 88278,3 4,11 287,4 68,92 86,84 3004,6 -7,50 88276,4 4,08 287,5 69,92 85,69 2993,8 -6,49 88212,9 4,08 287,5 70,92 86,03 2999,7 -8,35 88258,7 4,08 287,4 71,92 84,43 3000,2 -7,98 88307,6 4,05 287,6 72,92 85,40 2990,9 -8,38 88211,7 4,05 287,5 73,91 85,35 2988,5 -8,08 88347,3 4,05 287,5 74,91 85,97 2986,1 -8,35 88380,1 4,05 287,4 75,91 85,97 2985,6 -8,71 88409,0 4,05 287,4 76,91 85,43 2993,0 -8,99 88305,5 3,99 287,4 77,91 85,99 3010,9 -7,57 88282,7 3,99 287,3 78,91 84,95 3005,3 -7,37 88196,6 3,99 287,4 79,91 86,57 3007,6 -7,69 88318,8 3,99 287,4 80,91 86,43 2991,5 -7,55 88294,4 3,96 287,4 81,90 86,42 2985,9 -7,02 88285,6 3,96 287,4 82,90 85,42 2995,8 -7,22 88393,2 3,96 287,3 83,90 85,68 3002,6 -8,02 88366,5 3,96 287,6 84,90 85,44 3006,7 -7,48 88294,7 3,93 287,5 85,85 85,14 3000,8 -7,25 88350,6 3,93 287,4 86,85 85,39 2999,4 -6,58 88266,5 3,93 287,4 87,86 87,48 3015,2 -7,77 88333,3 3,9 287,4 88,85 84,75 2949,6 -7,19 88312,1 3,9 287,4


89,88 84,52 2974,7 -8,01 88223,2 3,9 287,6 90,87 85,25 2955,4 -7,68 88169,9 3,9 287,5 91,86 85,12 2965,7 -7,48 88168,9 3,86 287,5 94,47 83,70 2953,2 -8,20 88190,6 3,86 287,3 95,46 84,18 2944,7 -7,65 88319,0 3,86 287,4 96,45 85,40 2939,5 -7,28 88322,1 3,86 287,4 97,43 84,97 2941,1 -7,01 88289,0 3,83 287,5 98,42 85,26 2942,7 -7,03 88437,0 3,83 287,6 99,40 83,33 2959,5 -8,06 88257,0 3,8 287,4

100,39 85,03 2987,4 -7,57 88402,5 3,77 287,5 101,39 84,83 2987,0 -7,98 88285,6 3,77 287,5 102,38 84,02 2978,0 -8,29 88318,8 3,71 287,5 103,37 84,43 2967,0 -7,94 88409,1 3,74 287,5 104,36 83,45 2985,9 -5,93 88344,8 3,74 287,4 105,35 85,25 2982,0 -5,42 88363,8 3,68 287,5 106,35 84,56 2976,1 -5,66 88302,1 3,68 287,3 107,34 85,34 2982,9 -7,13 88256,6 3,68 287,6 108,34 85,02 2970,8 -7,41 88185,9 3,68 287,6 109,33 84,39 2992,0 -7,39 88382,9 3,65 287,6 110,33 84,26 2989,9 -6,96 88357,8 3,65 287,4 111,32 84,95 2988,0 -7,54 88272,2 3,59 287,3 112,32 83,82 2985,5 -6,93 88289,1 3,59 287,5 113,31 84,12 2987,7 -7,20 88376,2 3,59 287,6 114,31 83,53 2977,0 -6,52 88375,8 3,59 287,2 115,30 84,46 2985,9 -6,36 88311,3 3,59 287,4 116,30 84,38 2970,3 -7,70 88352,8 3,56 287,4 117,29 85,36 2980,0 -7,16 88367,5 3,56 287,5 118,29 85,08 2976,2 -7,98 88303,4 3,53 287,4 119,28 84,24 2988,8 -6,51 88275,3 3,53 287,3 120,27 84,11 2981,9 -6,09 88400,6 3,53 287,3 121,26 84,78 2980,4 -5,19 88398,2 3,53 287,4 122,26 83,66 2983,2 -6,09 88313,8 3,5 287,4 123,25 83,23 2978,1 -6,82 88353,5 3,5 287,3 124,25 83,09 2981,2 -6,95 88388,9 3,5 287,4 125,24 84,60 2980,4 -6,44 88293,9 3,46 287,5 126,24 85,35 2996,4 -6,15 88331,6 3,46 287,4 127,23 85,33 2992,3 -5,73 88366,8 3,43 287,4 128,23 84,33 2989,3 -6,42 88286,5 3,43 287,5 129,22 83,62 2975,6 -5,80 88376,0 3,4 287,2 130,35 80,83 2898,7 -4,35 88300,1 3,95 287,7 131,32 84,46 2925,5 -6,56 88263,2 3,46 287,6 132,30 84,32 2966,8 -5,59 88405,7 3,43 287,6 133,30 84,43 2978,7 -4,56 88420,5 3,4 287,8 134,29 84,45 2997,0 -4,83 88330,8 3,37 287,8 135,30 84,29 2983,0 -5,10 88354,0 3,34 287,6


136,28 82,99 2978,4 -4,79 88383,3 3,34 287,6 137,27 83,33 2978,8 -4,10 88465,7 3,3 287,6 138,27 84,70 2988,7 -5,39 88313,0 3,3 287,8 139,26 84,15 2989,2 -5,62 88382,2 3,28 287,8 140,26 84,56 2990,7 -5,15 88364,0 3,28 287,6 141,26 84,15 2988,6 -4,99 88370,6 3,25 287,8 142,26 84,15 2984,6 -5,11 88307,3 3,22 287,5 143,25 84,74 2992,6 -4,95 88373,6 3,22 287,5 144,25 84,90 2974,5 -4,69 88399,9 3,22 287,5 145,25 85,12 2987,8 -4,24 88283,5 3,2 287,5 146,24 84,94 2991,0 -5,06 88404,6 3,18 287,6 147,24 84,11 2987,9 -5,62 88469,0 3,18 287,7 148,24 85,22 2988,1 -4,77 88422,0 3,15 287,6 149,23 84,36 2982,6 -4,63 88404,3 3,12 287,5 150,22 84,11 2979,5 -3,79 88278,8 3,09 287,5 151,22 84,84 2981,2 -4,13 88388,4 3,09 287,5 152,21 85,06 2978,2 -3,55 88401,1 3,06 287,6 153,21 85,21 2990,9 -3,63 88455,7 3,06 287,6 154,21 85,44 2987,4 -3,82 88447,6 3,03 287,7 155,21 85,29 2977,9 -3,82 88453,0 3 287,4 156,20 84,61 2979,9 -3,56 88349,6 2,97 287,5 157,19 85,20 2991,4 -3,98 88471,5 2,97 287,6 158,14 85,15 2992,6 -3,66 88461,0 2,94 287,6 159,14 85,05 2980,7 -2,90 88520,4 2,94 287,7 160,13 85,09 2993,5 -3,60 88421,7 2,94 287,7 161,13 85,01 2979,6 -3,89 88321,2 2,94 287,5 162,12 84,63 2969,1 -2,93 88398,5 2,86 287,7 162,93 83,94 2975,9 -2,94 88345,3 3,03 287,7 163,92 85,20 2970,6 -3,60 88387,8 2,91 287,5 164,92 85,17 2978,0 -3,30 88310,3 2,81 287,7 165,91 85,14 2983,3 -3,30 88418,7 2,81 287,5 166,91 85,18 2994,2 -3,30 88462,0 2,78 287,8 167,91 85,02 3000,1 -3,67 88443,1 2,78 287,6 168,91 86,49 2994,8 -2,52 88392,9 2,75 287,8 169,90 85,56 2982,3 -2,79 88505,7 2,75 287,5 170,90 85,13 2983,4 -2,85 88466,8 2,75 287,4 171,90 85,18 3011,9 -3,04 88434,0 2,75 287,6 172,90 86,47 2997,3 -2,26 88462,0 2,72 287,9 173,86 86,35 2887,0 -1,43 88404,7 2,69 287,3 174,82 85,91 2868,9 -1,71 88503,0 2,69 287,3 175,78 86,56 2900,2 -1,28 88505,3 2,69 287,3 176,74 84,63 2811,8 -2,60 88511,1 2,72 287,4 177,68 85,43 2834,1 -1,92 88438,1 2,69 287,4 178,63 85,73 2854,0 -2,79 88448,6 2,69 287,5 179,59 86,33 2856,9 -2,56 88348,2 2,69 287,5


180,54 85,32 2825,3 -1,29 88428,4 2,69 287,0 181,49 86,73 2904,7 -1,84 88360,5 2,69 287,3 182,44 84,70 2833,1 -3,03 88397,8 2,66 287,2 183,40 88,41 3000,3 -2,27 88352,4 2,66 287,7 184,40 89,52 2998,0 -2,06 88424,9 2,63 287,6 185,35 82,92 2779,8 -1,36 88484,5 3,06 287,6 186,28 84,46 2781,3 -1,87 88420,5 2,63 287,2 187,21 84,76 2790,2 -1,14 88451,3 2,6 287,3 188,14 85,10 2808,5 -1,36 88457,8 2,6 287,2 189,79 86,68 3004,5 -2,07 88430,5 2,66 287,8 190,79 88,89 2996,5 -1,64 88500,2 2,51 287,6 191,79 89,03 3000,0 -1,64 88473,3 2,51 287,7 192,80 88,60 3002,4 -1,58 88508,8 2,44 287,7 193,79 88,82 2995,4 -1,53 88478,9 2,44 287,6 194,79 87,82 2997,1 -1,30 88399,5 2,41 287,7 195,79 88,13 2995,8 -1,83 88279,4 2,38 287,5 196,79 87,54 2982,5 -1,65 88390,6 2,38 287,4 197,80 88,47 2992,4 -1,28 88383,7 2,35 287,5 198,80 88,62 2993,1 -1,84 88368,6 2,29 287,4 199,80 88,26 3009,9 -1,95 88446,5 2,29 287,7 200,80 88,43 2999,6 -1,88 88453,1 2,26 287,6 201,80 88,62 3000,0 -1,90 88302,4 2,23 287,5 202,80 88,16 2981,8 -1,57 88389,0 2,23 287,5 203,80 88,81 2994,5 -1,81 88374,3 2,2 287,5 204,80 88,39 3003,3 -1,58 88330,2 2,2 287,6 205,80 89,14 2993,8 -1,29 88348,1 2,16 287,6 206,80 88,74 2990,3 -1,79 88441,6 2,13 287,5 207,81 88,87 2997,1 -1,12 88440,2 2,1 287,5 208,81 88,73 2994,5 -0,87 88422,0 2,07 287,4 209,81 88,04 2997,5 -0,96 88355,1 2,07 287,4 210,81 88,46 3001,1 -1,99 88437,8 2,04 287,6 211,81 88,57 2985,8 -1,49 88350,3 2,04 287,5 212,82 89,02 2993,0 -1,54 88400,2 2 287,4 213,82 88,29 2994,2 -0,92 88421,8 2 287,5 214,82 88,52 3010,9 -1,06 88399,0 1,98 287,6 215,82 88,82 3005,3 -1,42 88439,9 1,98 287,5 216,83 88,52 3010,8 -1,69 88396,5 1,95 287,5 217,83 88,98 3005,8 -1,69 88380,6 1,95 287,5 218,84 89,33 2998,2 -2,21 88337,9 1,92 287,4 219,84 89,50 2992,4 -0,96 88381,8 1,9 287,4 220,84 90,16 3004,6 -1,04 88354,3 1,88 287,5 221,85 89,55 2997,7 -0,52 88466,0 1,85 287,5 222,85 89,12 2998,3 -0,19 88464,1 1,82 287,5 223,85 89,02 3000,2 -0,26 88476,1 1,79 287,4 224,86 89,18 2998,5 -0,41 88463,2 1,79 287,5


225,86 89,20 3006,4 -1,52 88533,4 1,76 287,5 226,86 88,90 2992,3 -1,50 88447,1 1,73 287,5 227,87 88,94 3000,8 -2,09 88514,5 1,73 287,4 228,87 89,72 3003,0 -2,21 88487,6 1,7 287,5 229,88 90,36 3005,5 -1,03 88504,6 1,67 287,5 230,88 90,55 3012,5 -0,79 88452,6 1,67 287,5 231,88 89,33 3015,1 -1,69 88490,4 1,64 287,5 232,89 89,59 3004,8 -1,90 88439,1 1,61 287,6 233,77 82,59 2274,0 2,57 88715,6 1,7 284,7 234,68 82,89 2489,7 0,36 88606,0 1,73 286,0 235,42 72,92 2135,8 -1,27 88674,2 1,83 284,5 236,12 72,42 2108,6 -0,80 88694,7 1,86 284,4 236,83 72,06 2129,4 -1,37 88739,7 1,86 284,6 237,53 71,20 2084,0 -2,08 88600,9 1,86 284,1 238,23 70,30 2078,4 -1,71 88687,8 1,86 284,3 238,93 72,28 2093,4 -0,94 88634,3 1,86 284,1 239,64 71,82 2112,9 -0,95 88686,3 1,89 284,2 240,34 71,20 2119,3 -1,67 88703,1 1,89 284,5 241,04 71,08 2102,3 -2,07 88608,3 1,86 284,2 241,79 82,67 2974,6 0,55 88420,6 1,79 287,4 242,79 89,55 3004,1 -0,87 88507,9 1,52 287,4 243,79 89,40 3007,7 -0,79 88511,6 1,42 287,4 244,79 89,19 2992,6 -0,74 88439,8 1,42 287,3 245,80 88,85 2995,5 -1,18 88452,2 1,39 287,4 246,80 89,70 3002,4 -1,52 88477,8 1,36 287,3 247,80 89,46 2518,8 -3,31 88688,7 1,36 285,7 248,64 74,81 2364,7 -2,24 88669,9 1,42 285,4 249,43 74,53 2376,3 -1,37 88686,2 1,51 285,3 250,22 75,24 2365,5 -1,41 88774,2 1,51 285,4 250,98 73,90 2262,4 -0,50 88712,9 1,54 285,1 251,71 70,99 2040,6 -1,11 88730,9 1,54 284,0 252,40 69,44 2060,3 -2,53 88704,7 1,6 284,3 253,09 69,67 2069,6 -2,86 88730,6 1,6 284,4 253,78 70,94 2083,1 -1,60 88752,0 1,57 284,5 254,47 70,74 2077,2 -1,03 88735,1 1,57 284,6 255,16 70,78 2077,0 -1,55 88710,2 1,57 284,7 255,86 70,00 2059,5 -1,01 88769,1 1,57 284,6 256,55 70,00 2063,4 -0,27 88772,0 1,57 284,6 257,25 70,40 2058,3 -0,14 88760,9 1,54 284,4 257,95 70,36 2095,7 -1,02 88698,4 1,54 284,6 259,28 82,12 2829,3 -1,67 88528,1 1,42 287,9 260,27 87,55 2995,6 -1,62 88595,3 1,18 287,8 261,28 88,26 2995,9 -1,97 88574,1 1,08 287,7 262,28 88,25 2984,6 -1,16 88598,1 1,08 287,6 263,25 82,73 2777,1 -2,50 88556,6 1,08 287,1


264,17 83,43 2787,5 -0,57 88577,3 1,08 287,3 265,08 80,05 2600,3 -1,42 88698,8 1,08 286,7 265,95 78,85 2605,4 -1,73 88588,0 1,11 286,4 266,82 80,05 2606,6 0,02 88549,2 1,11 286,9 267,69 81,13 2621,0 -0,57 88627,9 1,08 286,7 268,54 72,30 1676,0 -8,74 88833,2 1,11 283,5 269,29 75,48 2438,4 -1,50 88588,9 1,17 286,3 270,12 76,64 2484,6 -1,62 88508,6 1,11 286,6 270,95 76,28 2447,3 -1,78 88574,3 1,08 286,1 271,78 76,96 2423,8 -3,01 88554,9 1,05 285,9 272,58 76,76 2432,9 -2,18 88557,2 1,05 285,9 273,40 75,59 2424,8 -2,23 88628,2 1,02 285,9 274,05 69,29 1901,1 3,03 88624,7 1,17 284,3 274,69 71,57 1876,2 0,96 88677,5 1,2 284,3 275,32 70,00 1863,0 -0,29 88664,4 1,23 284,1 275,93 70,70 1876,7 0,11 88727,3 1,23 284,5 276,34 72,05 1892,9 3,12 88780,6 1,79 285,2 276,97 71,15 1898,9 2,52 88604,5 1,24 285,0 277,60 70,01 1854,6 3,16 88706,5 1,2 285,2 278,21 70,79 1856,0 1,23 88754,8 1,2 285,4 278,82 69,53 1857,9 1,44 88729,7 1,2 285,1 279,43 69,58 1854,2 -1,22 88622,0 1,2 285,1 280,04 70,03 1898,4 -0,46 88664,9 1,13 285,3 280,86 80,68 2561,4 -0,15 88440,1 0,96 286,9 281,76 85,38 2809,0 -0,19 88458,7 0,81 287,1 282,54 69,78 1825,5 0,57 88520,7 0,87 284,2 283,62 76,08 2627,5 -1,03 88593,7 1,04 287,4 284,58 91,91 2979,7 -0,06 88642,1 0,69 287,3 285,59 90,80 2991,9 -0,31 88608,0 0,62 287,1 286,59 89,05 2992,8 0,02 88561,7 0,61 287,0 287,60 88,55 2988,1 -1,92 88561,3 0,58 287,0 288,60 88,81 2978,5 -3,09 88449,7 0,54 287,1 290,27 73,06 2541,8 -0,79 88524,7 0,86 287,2 291,22 84,48 2965,6 -2,47 88410,2 0,56 287,7 292,22 94,95 2978,5 -2,71 88384,3 0,45 287,5 293,00 67,42 2630,7 -3,41 88368,2 0,54 287,2 293,95 83,07 2985,6 -2,74 88228,0 0,43 287,7 294,96 87,69 2980,3 -1,46 88317,4 0,36 287,6 295,96 89,21 2982,1 -2,23 88360,4 0,35 287,5 296,96 89,13 2989,0 -3,24 88231,5 0,29 287,6 297,97 89,83 2992,2 -2,98 88291,9 0,27 287,7 298,97 89,73 2991,3 -3,12 88232,4 0,25 287,6 299,98 90,35 2981,3 -1,45 88291,6 0,24 287,4 300,98 90,75 2996,4 -1,23 88226,5 0,22 287,7 301,98 88,36 2998,0 -0,63 88327,3 0,17 287,5


302,99 89,08 2972,1 -1,38 88118,1 0,15 287,5 303,99 89,90 2975,2 1,09 88131,1 0,15 287,7 304,99 89,40 2958,1 -1,69 88070,3 0,13 287,5 305,99 91,19 2954,1 -0,90 88189,1 0,11 287,5 306,99 90,48 2973,8 -1,10 88147,2 0,09 287,4 307,99 90,93 2969,9 -1,56 88118,3 0,08 287,4 309,00 91,61 2974,7 -1,18 88096,1 0,06 287,4 310,00 92,80 2976,6 -2,19 88062,9 0,055 287,4 311,00 93,46 2973,0 -0,11 88125,6 0,035 287,4 311,74

Tab. 7: FA types loaded in the core for the 2

nd cycle

FA Design

FA Type

Enrichment

(w/o %)

No. of UO2 pins /

enrichment

Number of Gd-pins

(w/o Gd2O3/

235U)

No. of FA in the

core

Resi-dence time

Diameter of the central hole (mm)

TVSA 22AU 2.20 312 / 2.20 - 42 1 1.5 TVSA 30AV5 2.99 303 / 3.00 9 (5.0/2.4) 37 1 1.5 TVSA 39AWU 3.90 243 / 4.00

60 / 3.60 9 (5.0/3.3) 24 1 1.5

TVSA 390GO 3.90 240 / 4.00 66 / 3.60

6 (5.0/3.3) 12 1 1.5

TVSA 390GO 3.90 240 / 4.00 66 / 3.60

6 (5.0/3.3) 18 0 1.5

TVSA 430GO 4.30 240 / 4,40 66 / 4,00

6 (5.0/3.6) 30 0 1.5

Total 163

Fresh FA of the type 430GO with averaged enrichment 4.30%

---> 2 ---> 32 ---> 43 --->

---> 3 ---> 29 --->

---> 4 ---> 41 ---> 22 --->

---> 5 ---> 30 ---> 12 ---> 6 ---> 11 ---> 19 --->

---> 8 ---> 20 --->

---> 14 ---> 46 --->

---> 16 ---> 65 ---> 27 ---> 7 ---> 38 ---> 64 --->

---> 25 ---> 72 ---> 71 --->

---> 26 ---> 79 ---> 28 --->

---> 36 ---> 33 --->

---> 37 ---> 78 --->

---> 48 ---> 44 ---> 73 --->

---> 49 ---> 40 ---> 53 --->

---> 61 ---> 45 ---> 60 ---> 75 ---> 47 ---> 34 --->

---> 76 ---> 51 --->

---> 88 ---> 113 --->

---> 103 ---> 119 ---> 104 ---> 89 ---> 117 ---> 130 --->

---> 115 ---> 124 ---> 111 --->

---> 116 ---> 120 ---> 91 --->

---> 127 ---> 86 --->

---> 128 ---> 131 --->

---> 138 ---> 85 ---> 136 --->

---> 139 ---> 92 ---> 93 --->

---> 148 ---> 99 ---> 137 ---> 157 ---> 126 ---> 100 --->

---> 150 ---> 118 --->

---> 156 ---> 144 --->

---> 159 ---> 134 ---> 152 ---> 158 ---> 153 ---> 145 --->

---> 160 ---> 123 ---> 142 --->

---> 161 ---> 135 --->

---> 162 ---> 132 ---> 121 --->

Fig. 14: Scheme for the 1. reshuffling

Fresh FA of the type 390GO with averaged enrichment 3.90%

---> 9 ---> 54 ---> 10 ---> 1 ---> 31 ---> 42 --->

---> 13 ---> 68 --->

---> 17 ---> 81 --->

---> 24 ---> 56 ---> 35 ---> 15 ---> 58 ---> 57 --->

---> 55 ---> 18 ---> 21 --->

---> 63 ---> 80 ---> 50 ---> 62 ---> 52 ---> 66 --->

---> 67 ---> 77 ---> 39 --->

---> 70 ---> 23 ---> 59 --->

---> 74 ---> 69 --->

---> 90 ---> 95 --->

---> 94 ---> 141 ---> 105 --->

---> 97 ---> 87 ---> 125 --->

---> 101 ---> 84 ---> 114 ---> 102 ---> 112 ---> 98 --->

---> 109 ---> 146 ---> 143 --->

---> 140 ---> 108 ---> 129 ---> 149 ---> 106 ---> 107 --->

---> 147 ---> 83 --->

---> 151 ---> 96 --->

---> 155 ---> 110 ---> 154 ---> 163 ---> 133 ---> 122 --->

Fig. 14: Scheme for the 1. reshuffling (continuation)

Fig. 15: Core loading pattern for the 2nd cycle

Tab. 8: Reference cycle data for the 2nd cycle


2,67 81,01 2929,82 -1,91 87771 6,31 287,1 3,64 80,41 2930,76 -2,96 87850 6,19 287,1 4,62 79,81 2927,94 -2,38 87897 6,06 287,1 5,60 80,35 2923,12 -0,68 87930 5,99 287,0 6,57 81,63 2919,98 -1,08 87915 5,99 287,1 7,54 80,96 2922,31 -1,78 87836 5,94 287,0 8,51 81,42 2916,30 -1,68 87870 5,94 287,0 9,49 81,59 2922,69 -1,70 87884 5,94 287,1

10,46 82,18 2919,61 -1,58 87859 5,81 287,1 11,43 82,59 2912,64 -1,18 87921 5,81 287,0 12,40 82,60 2915,09 -0,65 87968 5,75 286,9 14,44 82,99 2919,67 -0,83 87935 5,75 287,0 15,34 83,20 2922,24 -1,02 87945 5,7 287,0 16,31 83,77 2916,94 -0,86 87989 5,7 287,0 18,24 84,05 2918,13 -0,93 87951 5,7 287,0 19,21 84,00 2924,61 -0,83 87963 5,7 287,1 20,19 84,09 2918,28 -0,58 87950 5,63 287,0 21,20 84,11 2918,37 -0,64 87957 5,63 286,8 22,14 84,09 2929,08 -0,79 87967 5,63 287,0 23,12 83,90 2924,47 -0,98 88018 5,63 287,0 24,08 84,08 2925,45 -1,10 87969 5,63 287,1 25,06 83,57 2923,79 -1,46 87988 5,63 287,0 26,03 83,69 2926,45 -1,48 87953 5,5 287,1 27,04 83,51 2921,04 -1,31 87987 5,5 287,0 27,99 83,62 2924,29 -1,06 87964 5,5 287,0 28,97 83,53 2921,94 -1,54 87988 5,5 286,9 29,93 83,59 2923,07 -1,23 87947 5,5 287,0 30,91 83,50 2915,51 -1,63 87940 5,5 287,0 31,88 83,14 2918,11 -1,36 88022 5,5 287,0 32,85 83,33 2921,21 -1,61 88012 5,44 287,1 33,82 83,79 2917,43 -1,41 88040 5,44 287,0 34,81 84,23 2918,61 -1,22 87980 5,44 287,1 35,77 84,27 2916,48 -1,08 88038 5,44 287,0 36,74 84,28 2916,04 -0,63 88023 5,38 286,9 37,71 84,39 2918,98 -0,42 87999 5,38 287,0 38,68 84,45 2918,15 -0,79 88089 5,38 287,0 39,66 84,16 2919,08 -1,32 88012 5,38 287,1 40,63 84,27 2921,51 -1,42 88035 5,38 287,1 41,60 84,37 2919,58 -1,10 88015 5,32 287,0 42,58 84,37 2923,56 -1,25 87953 5,32 287,1 43,55 84,37 2922,45 -1,21 88005 5,32 287,0 44,52 83,51 2893,75 -1,42 87990 5,44 287,1 45,49 83,19 2918,23 -1,53 87970 5,25 287,0 46,46 83,87 2918,75 -1,63 87942 5,25 287,1


47,43 83,90 2916,65 -1,41 87987 5,25 287,1 48,40 84,22 2916,83 -0,80 88018 5,2 286,9 49,37 84,74 2917,42 -1,15 88102 5,25 286,9 50,35 85,03 2918,77 -1,22 87992 5,19 287,0 51,32 85,01 2920,88 -0,56 88069 5,19 287,0 52,29 85,10 2918,24 -1,23 88074 5,19 287,0 53,26 84,83 2920,53 -1,53 88050 5,13 287,0 54,24 84,56 2916,75 -1,39 88094 5,13 286,9 55,21 84,56 2916,21 -1,50 87959 5,13 286,9 56,18 84,56 2916,33 -1,61 88008 5,13 286,9 57,15 84,75 2917,56 -1,44 88081 5,07 286,9 58,13 85,15 2917,42 -1,33 88102 5,07 287,0 59,10 85,26 2916,79 -0,86 88024 5 286,9 60,06 84,73 2838,53 -0,06 88067 5,07 286,5 61,03 85,57 2920,62 -1,55 87968 5 287,1 62,00 85,40 2919,33 -1,40 88114 5 287,0 62,97 85,40 2921,79 -1,50 88043 4,95 287,0 63,94 85,21 2911,81 -1,67 88146 4,95 286,9 65,09 80,56 2950,19 -1,31 87942 5,44 287,4 66,09 85,39 2990,96 -2,07 87932 4,7 287,3 67,09 86,58 2995,78 -2,41 87946 4,76 287,2 68,08 86,58 2991,30 -1,98 87982 4,76 287,6 69,08 86,76 2996,32 -1,65 87965 4,76 287,6 70,07 86,56 2984,95 -1,43 87983 4,76 287,3 71,07 86,70 2976,86 -1,12 87927 4,73 287,5 72,06 87,11 2982,39 -0,97 87987 4,73 287,3 73,06 87,30 2991,85 -1,82 87934 4,7 287,3 74,06 87,22 2991,97 -1,82 87967 4,7 287,3 75,06 87,22 2997,70 -1,68 87954 4,66 287,3 76,06 87,22 2980,58 -1,88 87980 4,57 287,2 78,05 87,13 2992,25 -1,25 88010 4,57 287,4 79,05 87,51 2993,03 -1,42 87972 4,54 287,3 80,04 87,68 2993,91 -1,32 87890 4,54 287,2 81,04 87,60 2993,25 -1,30 87977 4,54 287,0 82,03 87,51 2975,30 -1,54 87993 4,54 287,4 83,03 87,71 3006,23 -1,79 87943 4,51 287,3 84,02 87,70 2991,99 -2,78 87995 4,51 287,4 85,02 87,31 2988,72 -2,03 87934 4,48 287,3 86,01 87,41 2986,39 -1,64 88061 4,48 287,4 86,97 87,69 2987,29 -1,41 88003 4,42 287,3 87,96 87,54 2989,90 -2,16 88029 4,42 287,4 88,96 87,46 2980,64 -2,17 87992 4,39 287,4 89,95 88,14 2990,07 -1,12 88015 4,36 287,4 90,95 87,44 2986,52 -1,50 87967 4,33 287,3 91,94 87,35 2981,66 -1,42 87958 4,3 287,3


92,94 87,20 2998,40 -1,90 88004 4,27 287,5 93,94 87,12 2998,38 -2,62 88058 4,23 287,5 94,94 87,00 2997,72 -3,13 88011 4,2 287,3 95,93 86,42 2989,48 -2,83 87966 4,2 287,2 96,93 86,48 2995,85 -2,94 88001 4,2 287,2 97,93 88,49 3002,20 -2,15 88046 4,17 287,3 98,93 90,78 2987,75 -2,32 88080 4,17 287,4 99,88 85,08 2747,55 -1,50 88039 4,23 286,5

100,84 88,80 2986,72 -0,31 88114 4,17 287,2 101,83 89,40 2991,41 -1,68 87973 4,14 287,5 102,83 89,30 3000,00 -1,08 88084 4,14 287,3 103,83 89,78 3003,61 -1,40 88013 4,13 287,2 104,83 89,97 2996,31 -1,32 88053 4,08 287,2 105,82 89,96 2988,73 -1,02 88083 4,05 287,3 106,75 80,90 2993,07 -3,54 87995 3,99 287,7 107,69 80,58 2991,83 -2,25 88001 4,02 287,4 108,61 79,95 2977,70 -1,39 87977 3,96 287,2 109,54 81,37 2989,21 -2,04 87997 3,96 287,4 110,54 88,25 2985,23 -1,54 88118 3,89 287,2 111,53 88,55 2987,16 -1,04 88059 3,89 287,4 112,53 89,66 2989,25 -1,14 88118 3,86 287,4 113,53 89,39 2981,93 -1,29 88069 3,83 287,2 114,48 83,56 2587,86 -1,28 88167 3,895 286,2 115,34 82,66 2619,52 -2,65 88179 3,9 286,7 116,22 82,19 2609,10 -2,28 88095 3,9 286,6 117,08 82,30 2605,96 -1,75 88114 3,9 286,5 117,95 82,67 2609,98 -1,46 88219 3,9 286,6 118,82 82,95 2600,46 -1,25 88166 3,86 286,3 119,69 83,14 2615,02 -1,79 88187 3,86 286,7 120,56 83,13 2598,17 -2,09 88138 3,84 286,5 121,43 83,14 2602,46 -2,22 88090 3,83 286,5 122,29 83,15 2602,43 -1,77 88200 3,8 286,4 124,10 88,37 2980,51 -2,22 88086 3,77 287,5 125,09 90,42 2995,90 -1,39 88164 3,65 287,5 126,09 90,01 2989,28 -0,58 88151 3,61 287,4 127,07 88,16 2887,69 -1,21 88118 3,59 287,0 128,03 87,70 2879,61 -1,76 88119 3,59 287,0 129,01 88,72 2992,35 -2,24 88124 3,56 287,5 130,01 88,55 3000,12 -2,67 88110 3,52 287,5 131,01 88,93 2991,82 -3,29 88121 3,49 287,4 132,01 88,97 2989,90 -2,84 88023 3,49 287,4 133,01 88,11 2999,54 -2,73 88128 3,46 287,5 134,02 89,24 3001,49 -2,79 88077 3,43 287,3 135,02 89,54 3000,98 -2,79 88047 3,43 287,4 136,02 89,49 2993,34 -2,49 88068 3,4 287,3


137,02 89,68 3001,78 -2,40 88037 3,4 287,4 138,03 89,97 2990,22 -2,13 88106 3,37 287,7 139,03 90,07 2992,41 -2,27 88144 3,34 287,5 140,03 90,51 2997,02 -3,01 88067 3,34 287,5 141,03 89,70 2990,64 -2,90 88152 3,31 287,4 142,04 89,39 2993,07 -2,61 88083 3,31 287,3 143,04 89,40 2986,21 -1,57 88096 3,28 287,5 144,04 89,96 2991,65 -1,81 88158 3,28 287,5 145,04 89,40 2985,75 -1,61 88017 3,28 287,5 146,04 89,87 2993,37 -2,34 87952 3,24 287,6 147,04 89,49 2928,49 -1,25 88180 3,22 287,6 148,01 88,84 2918,39 -1,10 88220 3,22 287,6 148,97 88,64 3003,38 -3,02 88120 3,18 287,5 149,97 90,19 2979,51 -3,19 88096 3,18 287,5 150,96 90,31 2980,00 -3,63 88061 3,15 287,4 151,96 89,97 2990,86 -2,30 88211 3,12 287,5 152,96 90,60 2983,55 -1,86 88064 3,12 287,4 153,96 90,55 2986,10 -1,69 88036 3,12 287,5 154,96 90,75 2991,45 -2,22 88157 3,09 287,4 155,96 90,55 2989,17 -2,97 88142 3,06 287,4 156,96 90,71 2996,43 -2,76 88121 3,03 287,3 157,97 90,55 2996,63 -2,73 88114 3 287,2 158,97 89,97 2997,16 -1,58 88157 3 287,3 159,97 89,79 3002,05 -1,37 88111 2,97 287,3 160,97 90,75 3004,63 -1,95 88114 2,94 287,4 161,98 90,99 2996,61 -3,02 88021 2,94 287,3 162,98 90,71 3002,09 -3,11 88097 2,91 287,3 163,98 90,55 2997,39 -2,88 88139 2,91 287,3 164,98 90,57 2993,05 -2,31 88231 2,87 287,4 165,99 90,55 2999,36 -1,37 88196 2,87 287,3 166,99 89,88 3003,97 -1,76 88144 2,84 287,4 168,00 90,55 2999,94 -1,79 88175 2,84 287,2 169,00 90,55 3006,59 -2,17 88166 2,81 287,3 170,00 90,99 2989,87 -3,17 88119 2,78 287,3 171,01 90,93 3000,27 -2,95 88204 2,78 287,4 172,01 90,49 3003,19 -2,76 88153 2,72 287,5 173,01 90,36 2999,76 -2,78 88225 2,72 287,5 174,02 90,55 2992,56 -1,64 88147 2,72 287,4 175,02 90,55 3004,42 -1,19 88173 2,69 287,5 176,89 80,70 2980,19 -1,16 88159 2,72 287,3 177,82 81,12 2986,68 -1,76 88167 2,6 287,5 178,75 80,17 2956,87 -2,12 88165 2,6 287,2 179,69 81,15 2995,75 -3,61 88162 2,6 287,3 180,62 80,51 2996,39 -3,30 88134 2,53 287,5 181,62 90,08 2997,45 -3,13 88123 2,59 287,3


182,63 89,57 2999,39 -2,78 88217 2,5 287,4 183,63 89,68 2990,11 -2,81 88118 2,47 287,5 184,63 89,93 3006,17 -2,97 88162 2,47 287,3 185,63 90,09 2998,49 -2,70 88125 2,44 287,4 186,64 90,55 2990,67 -2,22 88133 2,44 287,2 187,61 86,11 2997,94 -2,43 88151 2,41 287,4 188,62 90,55 2993,59 -1,45 88147 2,41 287,2 189,62 89,90 2987,47 -0,19 88160 2,38 287,4 190,62 89,11 3004,72 -2,50 88126 2,35 287,5 191,62 90,24 3002,89 -2,78 88051 2,32 287,4 192,62 90,11 3005,14 -2,64 88177 2,29 287,2 193,62 89,98 2995,85 -3,39 88210 2,29 287,2 194,63 90,15 3002,06 -3,71 88075 2,29 287,3 195,63 89,97 2991,99 -2,34 88139 2,25 287,2 196,63 88,84 2996,89 -1,45 88182 2,23 287,3 197,64 89,65 2998,62 -1,83 88094 2,19 287,3 198,64 89,97 2983,82 -1,93 88182 2,19 287,5 199,64 90,29 2998,59 -1,90 88072 2,16 287,3 200,64 90,37 2997,31 -2,31 88154 2,16 287,1 201,65 90,32 2995,50 -1,99 88115 2,13 287,2 202,64 90,17 2998,18 -2,34 88161 2,13 287,1 203,65 90,17 2997,51 -2,58 88190 2,1 287,1 204,65 89,78 2997,68 -2,18 88062 2,07 287,1 205,65 90,16 2998,86 -2,17 88106 2,07 287,1 206,65 90,17 3001,42 -1,98 88217 2,04 287,1 207,66 90,16 2993,07 -1,95 88176 2,01 287,1 208,66 90,45 2997,99 -2,57 88245 2,01 287,1 209,64 83,35 2802,17 -2,70 88228 1,98 286,6 210,54 79,43 2592,38 -2,48 88318 2,047 286,1 212,40 89,12 2985,62 -1,91 88145 1,98 287,1 215,42 0,00 3000,83 -2,32 88099 0 287,1 216,41 89,21 3001,29 -2,29 88095 1,86 287,1 217,41 88,85 3003,28 -2,31 88185 1,82 287,2 218,45 88,58 2997,50 -2,00 88227 1,79 287,2 219,44 88,55 2997,98 -2,59 88268 1,79 287,2 220,42 88,79 3003,06 -2,63 88264 1,73 287,2 221,45 89,29 2997,84 -2,38 88280 1,7 287,1 222,44 89,54 2994,40 -2,38 88281 1,7 287,1 223,43 88,65 3002,01 -2,13 88205 1,7 287,1 224,43 88,83 2990,88 -2,16 88155 1,64 287,2 225,47 89,29 2999,92 -1,96 88249 1,64 287,1 226,45 89,40 3004,67 -1,96 88162 1,61 287,1 227,45 89,39 2999,49 -1,86 88194 1,58 287,2 228,46 89,39 2998,80 -1,96 88068 1,58 287,1 229,49 89,76 3005,23 -2,12 88081 1,51 287,2


231,98 82,50 2625,73 -1,72 88185 1,85 287,3 232,94 86,76 2963,12 -1,46 88082 1,55 287,8 233,90 89,27 3000,38 -2,40 88140 1,45 287,9 234,91 89,54 3003,50 -2,86 88092 1,45 287,7 235,91 89,69 3002,60 -2,77 88100 1,42 287,8 236,91 90,06 3002,94 -2,18 88095 1,39 287,7 237,96 90,43 3001,24 -2,21 88156 1,36 287,6 238,95 90,27 3004,22 -1,93 88073 1,36 287,7 239,93 89,87 2996,46 -1,24 88122 1,3 287,8 240,93 89,99 3002,13 -1,01 88072 1,3 287,6 241,93 90,10 3000,16 -0,46 88069 1,27 287,6 242,93 90,51 3001,27 -1,33 88090 1,27 287,7 243,94 90,33 3001,51 -1,65 88223 1,23 287,6 244,94 90,45 3002,21 -1,74 88164 1,2 287,5 245,94 89,97 2997,93 -1,48 88076 1,18 287,5 246,95 89,86 3000,66 -1,53 88106 1,14 287,7 247,95 89,97 2998,93 -1,79 88213 1,11 287,6 248,95 89,97 2997,20 -1,67 88041 1,11 287,6 249,96 89,97 3003,55 -1,74 88142 1,11 287,5 250,96 90,36 3004,52 -1,73 88228 1,08 287,6 251,96 90,55 2994,18 -2,60 88183 1,08 287,5 252,96 90,42 2979,90 -2,17 88049 1,05 287,5 253,96 90,20 2990,80 -1,86 88106 1,02 287,6 254,96 90,06 2994,07 -0,79 88057 0,96 287,5 255,97 89,81 3001,64 -1,32 88058 0,96 287,6 256,97 90,47 2992,95 -0,94 88137 0,93 287,7 257,98 90,66 2990,83 -1,89 88005 0,93 287,5 258,98 90,84 2994,96 -2,39 88117 0,93 287,6 259,98 89,97 2996,84 -1,58 88170 0,91 287,6 260,99 90,35 2993,90 -1,02 88055 0,88 287,6 261,99 91,00 2994,16 -0,99 88059 0,85 287,6 262,99 90,48 2986,19 -0,46 88009 0,84 287,6 264,00 90,47 2982,99 -1,51 88000 0,83 287,6 265,00 90,25 2999,77 -1,67 87989 0,8 287,6 266,00 90,29 2994,49 -1,78 87964 0,77 287,6 267,01 90,22 2991,17 -1,65 88017 0,76 287,5 268,01 90,09 2995,35 -1,72 88048 0,74 287,6 269,02 90,16 2990,29 -1,24 87876 0,72 287,6 270,02 90,45 2997,25 -0,46 87952 0,69 287,7 271,02 91,11 2990,55 -0,92 87906 0,67 287,6 272,03 90,16 2997,17 -1,54 87946 0,64 287,6 273,03 89,97 2993,80 -1,51 87905 0,62 287,5 274,04 90,16 2997,08 -1,48 87817 0,6 287,7 275,04 90,21 2998,89 -1,21 87849 0,59 287,4 276,04 90,26 2999,07 -1,60 88028 0,57 287,4


277,05 90,07 2997,00 -2,15 87879 0,54 287,4 278,05 90,23 2997,33 -2,25 88059 0,52 287,7 279,06 89,97 2993,59 -1,92 88055 0,49 287,5 280,06 89,97 2996,02 -1,59 87881 0,47 287,4 281,10 89,74 2990,32 -1,38 87929 0,46 287,5 282,08 89,83 2982,94 -1,40 87995 0,44 287,5 283,10 89,40 2985,71 -0,91 88018 0,41 287,6 284,09 89,97 2991,03 -0,90 87986 0,39 287,5 285,08 90,30 2987,15 -0,76 87878 0,37 287,7 286,08 90,74 2988,85 -0,77 87864 0,35 287,6 287,11 90,80 2969,83 -0,57 87969 0,33 287,5 288,10 89,97 2961,94 -1,14 87929 0,32 287,5 289,10 90,14 2966,52 -1,40 87897 0,31 287,4 290,11 89,97 2970,00 -2,22 87987 0,28 287,3 291,20 89,51 2961,33 -1,40 87915 0,27 287,3 292,07 85,93 2825,18 -1,61 87927 0,27 286,9 293,01 83,13 2761,27 -2,90 87991 0,27 287,3 293,93 83,50 2976,54 0,21 87788 0,26 287,2 294,96 90,13 2974,69 -1,39 87793 0,21 287,3 295,94 89,97 2979,16 -2,13 87792 0,16 287,4 296,94 90,36 2989,31 -1,09 87795 0,15 287,2 297,96 90,55 2965,54 -0,60 87819 0,14 287,4 298,95 90,28 2983,52 -0,56 87710 0,11 287,6 300,00 89,92 2969,40 -0,76 87699 0,08 287,6 301,11 90,07 2956,48 -0,29 87647 0,04 287,4 302,01 85,92 2915,94 -0,73 87706 0 287,3 302,94 87,91 2930,80 0,00 87502 0 287,2 303,90 90,14 2917,11 -0,53 87650 0 287,2 304,86 87,69 2829,18 -1,12 87615 0 287,0 305,81 86,07 2822,99 0,58 87580 0 287,1 306,76 89,00 2833,72 0,73 87566 0 286,9 307,69 85,87 2730,92 -1,44 87720 0 286,7 308,66 85,41 2722,60 0,40 87647 0 286,6 309,53 86,85 2731,84 1,64 87588 0 286,5 310,44 87,12 2652,99 1,71 87580 0 286,6 311,35 85,98 2604,42 3,69 87609 0 286,6 312,17 86,18 2636,07 2,53 87661 0 286,4 313,05 87,69 2627,74 2,94 87756 0 286,0 313,97 90,21 2544,41 3,08 87876 0 286,0 314,77 87,56 2559,20 1,24 87981 0 285,8 315,63 87,13 2561,32 1,79 87885 0 285,7 316,48 88,06 2563,94 3,60 87961 0 285,7 317,31 87,12 2466,08 1,47 87945 0 285,4 318,15 85,79 2474,64 2,76 87906 0 285,4 318,98 86,58 2462,68 2,84 88003 0 285,4


319,84 88,25 2456,11 4,52 87915 0 285,3 320,61 85,22 2389,28 2,90 87917 0 285,2 321,39 85,73 2373,69 3,74 88001 0 285,2 322,17 87,13 2380,52 4,42 87933 0 285,1 322,95 88,59 2384,35 6,11 87970 0 285,1 323,73 85,98 2309,11 3,34 88001 0 284,8 324,31

Tab. 9: FA types loaded in the core for the 3

rd cycle

FA Design

FA Type

Enrichment

(w/o %)

No. of U2O pins /

enrichment

Number of Gd-pins

(w/o Gd2O3/

235U)

No. of FA in the

core

Resi-dence time


TVSA 22AU 2.20 312 / 2.20 - 4 2 1.5 TVSA 30AV5 2.98 303 / 3.00 9 (5.0/2.4) 35 2 1.5 TVSA 39AWU 3.90 243 / 4.00

60 / 3.60 9 (5.0/3.3) 24 2 1.5

TVSA 390GO 3.90 240 / 4.00 66 / 3.60

6 (5.0/3.3) 10 2 1.5

TVSA 390GO 3.90 240 / 4.00 66 / 3.60

6 (5.0/3.3) 18 1 1.5

TVSA 398GO 3.99 306 / 4.00 6 (5.0/3.30) 6 0 TVSA 430GO 4.30 240 / 4,40

66 / 4,00 6 (5.0/3.6) 30 1 1.5

TVSA 439GT 4.39 306 / 4,40 6 (5.0/3.6) 36 0 1.5 163

Fresh FA of the type 439GT with enrichment 4.38%

---> 2 ---> 11 ---> 83 ---> 6 ---> 43 ---> 1 -

--> 42 --->

---> 3 ---> 32 ---> 12 ---> 8 ---> 41 ---> 54 -

-->

---> 4 ---> 30 ---> 20 ---> 29 ---> 10 ---> 68 -

-->

---> 5 ---> 31 ---> 21 --->

---> 9 ---> 22 --->

---> 13 ---> 19 --->

---> 16 ---> 52 ---> 39 --->

---> 17 ---> 64 --->

---> 24 ---> 73 --->

---> 25 ---> 47 ---> 69 --->

---> 26 ---> 65 ---> 51 ---> 78 ---> 50 ---> 7 -

--> 53 ---> 96 ---> 62 ---> 66 --->

---> 36 ---> 72 ---> 60 ---> 14 ---> 44 ---> 56 -

-->

---> 37 ---> 40 ---> 27 ---> 76 ---> 79 ---> 80 -

-->

---> 48 ---> 45 ---> 46 ---> 33 ---> 35 ---> 75 -

--> 71 ---> 15 ---> 57 --->

---> 49 ---> 38 ---> 81 ---> 158 ---> 121 ---> 163 -

--> 122 --->

---> 61 ---> 58 ---> 59 --->

---> 63 ---> 28 --->

---> 74 ---> 34 --->

---> 90 ---> 130 --->

---> 101 ---> 136 --->

---> 103 ---> 106 ---> 105 --->

---> 115 ---> 126 --->

---> 116 ---> 119 ---> 118 ---> 131 ---> 129 ---> 89 -

--> 93 ---> 149 ---> 107 --->

---> 127 ---> 124 ---> 137 ---> 88 ---> 85 ---> 84 -

-->

---> 128 ---> 92 ---> 104 ---> 150 ---> 120 ---> 108 -

-->

---> 138 ---> 99 ---> 113 ---> 86 ---> 114 ---> 157 -

--> 111 --->

---> 139 ---> 117 ---> 95 ---> 102 ---> 98 --->

---> 140 ---> 91 --->

---> 147 ---> 100 --->

---> 148 ---> 112 ---> 125 --->

---> 151 ---> 145 --->

---> 155 ---> 142 --->

---> 159 ---> 133 ---> 143 --->

---> 160 ---> 134 ---> 144 ---> 135 ---> 154 --->

---> 161 ---> 132 ---> 152 ---> 156 ---> 123 ---> 110 -

-->

---> 162 ---> 153 --->

Fig. 16: Scheme for the 2nd reshuffling

Fresh FA of the type 398 with enrichment 3.99 %

---> 55 ---> 18 --->

---> 67 ---> 77 --->

---> 70 ---> 23 --->

---> 94 ---> 141 --->

---> 97 ---> 87 --->

---> 109 ---> 146 ---> Fig. 16: Scheme for the 2nd reshuffling (continuation

Fig. 17: Core loading pattern for the 3rd cycle

Tab. 10: Reference cycle data for the 3

rd cycle


0,00 37,51 186,95 1,01 88561,00 9,03 280,86 0,07 67,34 12,35 4,11 88677,00 9,03 279,07 0,35 75,72 1911,60 0,79 88531,00 7,55 285,57 0,99 75,17 1945,50 0,08 88514,00 6,96 285,00 1,71 75,17 2221,10 -1,47 88409,00 6,55 286,43 2,53 83,13 2809,90 -1,02 88129,00 6,43 287,24 3,50 87,40 2928,30 -0,63 88125,00 6,25 287,29 4,47 84,83 2721,70 -1,02 88284,00 6,06 286,48 5,40 85,31 2938,70 -2,35 88226,00 5,94 287,15 6,39 86,66 2937,90 -1,16 88158,00 5,99 287,50 7,38 87,12 2937,00 -0,24 88335,00 5,99 287,43 8,33 88,36 2965,10 -0,37 88098,00 5,94 287,64 9,32 86,85 2947,00 -1,31 88142,00 5,94 287,45

10,30 86,27 2934,70 -2,18 88104,00 5,87 287,24 11,27 83,23 2732,90 0,26 88177,00 5,87 286,36 12,17 83,04 2738,00 -1,28 88113,00 5,87 286,78 13,08 83,14 2728,40 -0,46 88333,00 5,87 286,41 13,98 83,14 2706,10 -0,72 88336,00 5,81 286,60 14,88 82,85 2690,70 -0,98 88281,00 5,81 286,56 15,78 83,14 2686,20 -1,21 88288,00 5,81 286,46 16,67 79,72 2501,30 -1,42 88450,00 5,75 286,09 17,51 79,52 2537,70 -1,85 88246,00 5,75 286,39 18,35 80,28 2657,10 -1,94 88346,00 5,81 286,23 19,22 81,82 2604,80 -1,54 88469,00 5,81 286,54 20,08 80,85 2634,70 -1,35 88229,00 5,75 286,45 20,95 82,03 2609,90 -1,10 88361,00 5,75 286,34 21,82 82,03 2617,40 -0,99 88352,00 5,70 286,11 22,68 79,62 2472,60 -1,06 88334,00 5,70 285,74 23,51 79,20 2494,50 -1,21 88317,00 5,70 286,00 24,34 79,04 2498,10 -2,65 88432,00 5,70 286,14 25,20 80,85 2589,80 -1,29 88357,00 5,63 286,59 26,06 81,42 2609,00 -1,37 88410,00 5,63 286,24 26,94 81,42 2603,20 -1,55 88355,00 5,63 286,64 27,79 82,04 2618,00 -0,84 88290,00 5,63 286,84 28,66 80,28 2497,10 -1,19 88412,00 5,63 286,14 29,49 79,43 2490,80 -2,60 88328,00 5,57 286,52 30,33 80,20 2634,00 -1,89 88317,00 5,57 286,27 31,19 80,85 2566,10 -1,92 88338,00 5,57 286,58 32,05 81,42 2588,20 -1,24 88434,00 5,51 286,28 32,92 80,85 2575,40 -0,71 88384,00 5,50 286,26 33,79 81,14 2624,40 -1,27 88302,00 5,50 286,24 34,65 81,72 2608,00 -2,03 88509,00 5,44 286,43 35,51 79,13 2458,70 -1,37 88500,00 5,50 286,10


36,33 79,13 2473,40 -0,73 88380,00 5,44 286,04 37,16 79,82 2492,90 -1,11 88478,00 5,44 285,93 37,99 79,82 2471,70 -1,55 88265,00 5,44 286,06 38,82 80,28 2477,60 -1,20 88449,00 5,44 286,22 39,64 80,00 2496,40 -1,69 88311,00 5,44 286,35 40,47 80,37 2485,90 -1,13 88423,00 5,44 286,54 41,29 80,28 2483,50 -1,53 88434,00 5,38 286,39 42,12 80,28 2481,90 -1,40 88337,00 5,38 286,00 42,94 80,28 2468,10 -0,67 88380,00 5,38 286,28 43,77 80,18 2460,60 -1,52 88306,00 5,38 286,25 44,59 80,18 2473,80 -0,67 88574,00 5,38 285,37 45,42 80,18 2487,90 -1,03 88417,00 5,38 285,76 46,24 80,18 2481,90 -0,61 88402,00 5,32 285,67 47,07 79,71 2492,70 -1,38 88526,00 5,32 285,75 47,90 79,91 2500,60 -1,22 88509,00 5,32 286,18 48,73 79,91 2502,40 -2,06 88515,00 5,32 286,18 49,57 80,00 2522,30 -2,07 88537,00 5,32 286,12 50,37 77,91 2528,20 -3,73 88395,00 5,26 285,94 51,21 79,53 2498,70 -1,91 88431,00 5,26 286,23 52,04 79,91 2515,70 -1,69 88317,00 5,26 286,14 52,88 79,91 2534,40 -1,58 88384,00 5,14 286,08 53,75 80,85 2624,90 -2,65 88498,00 5,20 286,72 54,70 87,12 2967,20 -1,88 88412,00 5,07 287,05 55,68 87,12 2971,40 -1,88 88421,00 4,95 287,40 56,67 87,70 2954,00 -0,72 88416,00 4,90 287,48 57,65 89,22 2964,70 -0,82 88525,00 4,95 287,40 58,64 89,40 2960,10 -1,09 88384,00 4,90 287,43 59,63 89,88 2966,50 -0,92 88313,00 4,82 287,27 60,62 90,17 2958,00 -1,27 88420,00 4,76 287,71 61,59 89,69 2955,50 -0,15 88513,00 4,70 287,34 62,58 90,55 2969,70 -0,68 88278,00 4,70 287,50 63,57 89,88 2960,60 -1,60 88395,00 4,70 287,59 64,56 90,07 2992,70 -1,73 88448,00 4,67 287,39 65,55 90,17 2967,40 -1,80 88526,00 4,67 287,39 66,54 90,17 2959,50 -1,43 88410,00 4,64 287,47 67,53 90,17 2974,30 -1,20 88393,00 4,64 287,49 68,51 89,98 2960,00 -1,21 88372,00 4,64 287,24 69,50 89,78 2966,40 -2,04 88382,00 4,64 287,34 70,48 83,14 2619,70 -1,92 88485,00 4,61 286,15 71,43 89,40 2953,50 -1,48 88357,00 4,64 287,37 72,42 89,69 2968,10 -2,09 88452,00 4,61 287,41 73,40 89,50 2960,60 -2,36 88253,00 4,58 287,47 74,39 89,69 2943,10 -1,29 88438,00 4,58 287,39 75,37 89,98 2967,70 -1,81 88575,00 4,51 287,60 76,36 79,95 2597,30 -4,41 88506,00 4,45 286,59


77,36 88,83 2957,50 -2,82 88375,00 4,45 287,16 78,32 89,98 2948,10 -3,10 88321,00 4,45 287,30 79,31 89,98 2947,30 -1,75 88331,00 4,42 287,06 80,30 89,98 2977,10 -0,99 88219,00 4,36 287,15 81,28 90,36 2933,40 -1,53 88374,00 4,36 287,43 82,26 93,40 2958,70 -2,63 88325,00 4,33 287,51 83,25 94,52 2950,00 -0,44 88471,00 4,30 287,46 84,23 94,98 2928,10 0,01 88344,00 4,27 287,33 85,21 94,80 2954,00 -1,08 88388,00 4,27 287,23 86,20 95,49 2938,70 -1,26 88469,00 4,24 287,36 87,17 95,39 2910,10 -1,10 88376,00 4,27 287,11 88,14 93,39 2881,00 0,07 88429,00 4,24 287,33 89,09 90,18 2812,70 -1,92 88390,00 4,20 287,02 90,07 91,15 2968,30 -1,06 88456,00 4,18 287,39 91,06 90,55 2963,50 -1,68 88341,00 4,11 287,37 92,04 89,40 2955,30 -2,12 88263,00 4,11 287,39 93,03 89,98 2932,10 -2,30 88426,00 4,11 287,48 94,02 88,65 2977,00 -1,67 88507,00 4,11 287,48 95,00 89,59 2953,80 -1,92 88447,00 4,08 287,49 95,99 89,88 2976,00 -2,12 88364,00 4,08 287,25 96,97 89,69 2952,90 -2,12 88423,00 4,05 287,43 97,96 89,69 2945,90 -2,07 88466,00 4,05 287,53 98,94 89,40 2950,90 -2,11 88400,00 4,02 287,64 99,93 89,69 2958,90 -1,88 88485,00 4,02 287,26

100,92 89,69 2964,20 -1,80 88443,00 3,99 287,21 101,91 89,69 2959,90 -2,02 88434,00 3,96 287,42 102,90 89,69 2966,30 -2,04 88204,00 3,93 287,29 103,89 89,97 2968,90 -2,37 88387,00 3,93 287,50 104,88 89,78 2969,60 -2,43 88282,00 3,90 287,43 105,87 89,97 2973,00 -2,29 88312,00 3,90 287,38 106,86 89,68 2969,50 -2,25 88336,00 3,90 287,55 107,86 89,98 2988,60 -1,91 88402,00 3,86 287,46 108,85 89,97 2995,30 -1,85 88307,00 3,83 287,61 109,85 90,17 2998,00 -2,00 88641,00 3,83 287,39 110,85 90,17 2997,50 -2,53 88456,00 3,80 287,36 111,84 90,08 2997,10 -2,58 88501,00 3,77 287,36 112,84 90,07 3002,10 -2,46 88477,00 3,74 287,31 113,85 89,97 3002,50 -1,99 88658,00 3,71 287,45 114,85 89,98 2996,40 -2,06 88390,00 3,68 287,16 115,85 89,98 3002,30 -2,33 88400,00 3,65 287,27 116,85 89,97 2998,00 -2,31 88358,00 3,62 287,21 117,85 89,97 3001,20 -2,58 88451,00 3,59 287,24 118,85 89,97 2995,40 -2,28 88449,00 3,55 287,53 119,85 89,97 3001,30 -2,42 88283,00 3,52 287,25 120,85 89,39 3000,30 -3,02 88499,00 3,50 287,28


121,85 89,97 3001,00 -2,60 88348,00 3,46 287,20 122,86 89,98 3001,50 -1,59 88542,00 3,43 287,26 123,86 90,27 2996,60 -1,53 88502,00 3,43 287,29 124,85 90,45 2996,50 -1,64 88516,00 3,40 287,31 125,86 90,07 2997,20 -1,48 88412,00 3,37 287,25 126,86 89,98 2997,10 -2,19 88538,00 3,37 287,28 127,86 89,69 3000,40 -3,24 88693,00 3,34 287,28 128,86 89,97 3001,70 -2,96 88651,00 3,34 287,46 129,87 89,97 3001,10 -2,51 88479,00 3,31 287,27 130,87 89,69 3001,40 -2,65 88493,00 3,27 287,30 131,87 89,97 2997,80 -2,19 88404,00 3,27 287,28 132,88 89,97 2997,70 -2,37 88513,00 3,25 287,43 133,87 89,97 2992,70 -2,03 88562,00 3,22 287,32 134,87 89,97 3001,40 -2,82 88458,00 3,22 287,47 135,88 89,98 3001,70 -2,58 88575,00 3,19 287,19 136,88 89,97 3001,40 -2,22 88544,00 3,15 287,36 137,88 89,98 2996,90 -2,65 88448,00 3,15 287,28 138,89 89,97 2997,50 -2,53 88442,00 3,12 287,43 139,89 89,97 2996,10 -2,43 88455,00 3,12 287,27 140,89 89,97 2970,40 -2,33 88684,00 3,09 287,27 141,89 89,97 2969,40 -2,57 88395,00 3,06 287,35 142,90 89,97 3000,90 -2,80 88454,00 3,06 287,19 143,90 89,97 2995,60 -2,48 88408,00 3,06 287,19 144,90 89,97 2997,40 -2,00 88494,00 3,03 287,19 145,91 89,96 2998,00 -1,76 88651,00 3,00 287,27 146,91 89,97 2997,30 -2,43 88550,00 2,97 287,34 147,91 89,97 3000,50 -2,94 88407,00 2,94 287,33 148,92 89,97 2997,60 -2,59 88616,00 2,91 287,19 149,92 89,98 3001,00 -2,25 88504,00 2,91 287,19 150,92 89,98 2997,90 -2,07 88581,00 2,88 287,18 151,92 89,97 2996,50 -3,57 88492,00 2,84 287,33 152,92 89,97 2998,00 -3,06 88557,00 2,81 287,37 153,90 89,87 2919,50 -1,87 88598,00 2,84 287,16 154,89 89,97 2967,10 -2,13 88716,00 2,78 287,10 155,88 89,68 2942,20 -2,09 88609,00 2,75 287,25 156,85 82,57 2622,70 -3,01 88622,00 2,78 286,08 157,75 89,40 2996,60 -2,60 88556,00 2,81 287,13 158,75 89,97 2996,30 -2,26 88729,00 2,72 287,20 159,75 89,97 2997,70 -2,16 88553,00 2,69 287,25 160,76 89,97 2997,30 -1,85 88648,00 2,66 287,24 161,76 89,97 3000,50 -2,24 88532,00 2,63 287,23 162,76 89,59 3000,90 -2,71 88655,00 2,63 287,27 163,77 90,07 3000,20 -2,95 88678,00 2,60 287,26 164,77 89,40 3002,00 -3,00 88727,00 2,57 287,20 165,74 89,39 3000,30 -2,97 88548,00 2,57 287,25


166,75 89,49 3000,90 -2,47 88719,00 2,54 287,17 167,75 89,97 2997,60 -2,55 88708,00 2,50 287,13 168,75 89,97 3000,80 -2,59 88788,00 2,47 287,09 169,76 89,97 3000,90 -2,75 88408,00 2,47 287,31 170,76 89,98 3001,30 -2,71 88680,00 2,44 287,27 171,76 89,97 2995,60 -2,68 88613,00 2,41 287,15 172,77 89,97 2996,60 -2,39 88705,00 2,41 287,11 173,77 89,97 3001,20 -2,51 88713,00 2,38 287,24 174,77 90,54 2995,20 -1,86 88680,00 2,35 287,37 175,78 90,55 2997,50 -1,40 88475,00 2,35 287,25 176,78 90,35 3001,20 -1,96 88442,00 2,32 287,22 177,78 80,94 2702,60 -8,20 88548,00 2,30 286,27 178,77 89,98 2997,20 -2,44 88580,00 2,32 287,12 179,78 89,59 2997,40 -2,02 88649,00 2,29 287,20 180,67 84,27 2676,10 -1,63 88699,00 2,41 286,13 181,57 83,13 2662,00 -1,71 88611,00 2,41 286,23 182,45 82,21 2632,20 -1,83 88719,00 2,41 286,06 183,30 83,69 2623,20 -0,72 88574,00 2,47 286,34 184,17 83,13 2618,30 -1,26 88698,00 2,44 286,15 185,04 83,41 2603,60 -0,98 88558,00 2,41 286,20 185,91 83,14 2593,50 -0,67 88673,00 2,41 286,15 186,87 87,78 2849,50 -0,63 88525,00 2,22 286,27 187,77 78,00 2405,50 -1,12 88639,00 2,32 285,47 188,72 91,14 2997,40 -3,62 88434,00 2,22 287,20 189,72 89,97 2997,70 -2,99 88748,00 2,16 287,16 190,73 89,97 3001,10 -2,59 88615,00 2,10 287,26 191,73 90,16 3000,40 -2,15 88736,00 2,07 286,96 192,73 90,07 2996,80 -2,26 88698,00 2,04 287,14 193,74 90,26 3001,90 -1,90 88812,00 2,01 287,22 194,74 90,16 3000,40 -2,01 88681,00 2,01 287,14 195,74 89,97 3001,80 -2,24 88470,00 1,98 287,05 196,75 90,16 3000,30 -2,09 88725,00 1,95 287,08 197,75 90,16 2997,20 -2,80 88548,00 1,95 287,10 198,75 90,35 2997,60 -2,62 88683,00 1,92 287,02 199,76 90,55 3000,30 -2,60 88692,00 1,89 287,10 200,76 90,16 2996,40 -2,05 88676,00 1,89 287,05 201,76 90,26 3000,90 -1,94 88655,00 1,85 287,07 202,77 90,54 3001,40 -2,23 88551,00 1,82 287,13 203,77 90,54 2996,00 -2,47 88708,00 1,79 287,07 204,77 89,40 2944,90 -2,38 88606,00 1,79 287,18 205,76 90,25 3001,40 -2,37 88566,00 1,76 287,14 206,76 90,26 3003,50 -2,56 88746,00 1,76 287,04 207,77 89,97 2995,60 -2,57 88720,00 1,73 287,08 208,77 89,97 2997,70 -2,29 88692,00 1,70 287,05 209,77 89,68 2997,40 -2,10 88827,00 1,70 287,02


210,77 89,97 3001,40 -1,90 88728,00 1,67 287,00 211,77 88,25 2927,70 -2,42 88771,00 1,64 287,50 212,76 89,39 3001,20 -2,20 88711,00 1,61 287,23 213,76 89,87 3000,70 -1,92 88688,00 1,58 287,03 214,77 90,26 2997,90 -2,23 88696,00 1,58 287,14 215,77 89,97 2994,50 -1,98 88817,00 1,54 287,24 216,77 89,97 3002,30 -2,15 88645,00 1,54 287,12 217,77 89,97 3001,50 -2,70 88580,00 1,51 287,14 218,78 90,16 2997,30 -2,70 88701,00 1,48 287,11 219,78 90,16 2997,50 -2,27 88535,00 1,48 287,01 220,78 89,39 3001,00 -1,47 88606,00 1,45 287,08 221,79 89,97 2996,60 -1,88 88488,00 1,42 287,06 222,79 90,06 2997,90 -1,99 88583,00 1,42 287,04 223,79 90,07 3002,70 -2,10 88806,00 1,39 287,07 224,80 90,06 2997,80 -2,17 88570,00 1,39 287,11 225,80 90,07 2996,10 -1,68 88676,00 1,33 287,20 226,80 90,26 2997,70 -1,20 88716,00 1,30 287,10 227,80 90,16 3000,10 -2,13 88522,00 1,27 287,13 228,81 90,44 3001,70 -2,09 88506,00 1,24 287,06 229,81 90,26 2996,30 -2,04 88432,00 1,24 287,09 230,81 90,26 3000,00 -2,18 88592,00 1,20 287,17 232,91 90,08 3001,50 -2,76 88779,00 1,27 286,94 233,82 85,96 3001,60 -1,81 88643,00 1,17 287,37 234,82 90,25 3001,00 -3,43 88869,00 1,11 287,28 235,83 89,97 2997,60 -2,89 88557,00 1,05 287,22 236,83 89,97 2997,00 -2,11 88824,00 1,05 287,18 237,83 90,07 3000,10 -1,87 88682,00 1,05 287,24 238,84 89,96 2997,70 -1,73 88604,00 1,02 287,25 239,84 90,54 2997,80 -1,09 88854,00 0,99 287,14 240,84 89,59 3001,40 -1,99 88812,00 0,99 286,99 241,84 90,06 3000,40 -2,03 88696,00 0,95 287,20 242,85 89,97 3000,00 -2,67 88663,00 0,93 287,13 243,85 90,16 3001,00 -2,28 88746,00 0,93 287,11 244,85 89,97 2996,30 -1,84 88713,00 0,91 287,08 245,86 90,45 3000,00 -1,29 88600,00 0,88 287,10 246,86 90,25 3001,00 -0,87 88816,00 0,84 287,06 247,86 89,97 3001,10 -1,18 88474,00 0,81 287,17 248,87 90,45 3000,20 -1,23 88752,00 0,80 287,18 249,87 90,54 2997,40 -2,04 88794,00 0,79 287,09 250,87 90,16 3000,50 -2,28 88864,00 0,77 287,14 251,88 89,97 3000,80 -2,28 88612,00 0,74 287,08 252,88 89,97 2994,40 -1,50 88756,00 0,71 287,21 253,88 89,97 3001,40 -0,69 88880,00 0,69 287,04 254,88 89,97 3001,40 -0,85 88834,00 0,67 287,03 255,89 90,54 3001,50 -1,00 88671,00 0,65 287,06


256,89 90,55 3000,90 -2,17 88715,00 0,63 286,96 257,90 90,16 2997,40 -2,23 88699,00 0,61 286,97 258,90 90,16 2998,00 -2,58 88742,00 0,59 287,22 259,90 90,26 2997,60 -2,44 88754,00 0,57 287,03 260,91 89,97 2996,90 -1,77 88569,00 0,55 287,06 261,91 90,07 2999,30 -0,74 88595,00 0,53 287,01 262,91 89,87 3001,60 -0,41 88713,00 0,51 287,11 263,92 90,26 2997,60 -2,00 88594,00 0,50 287,03 264,92 89,98 2996,40 -1,74 88743,00 0,48 287,06 265,93 89,97 2996,60 -1,04 88652,00 0,46 286,96 266,89 89,97 3003,10 -0,32 88686,00 0,43 287,03 267,89 88,84 3000,80 -0,99 88511,00 0,38 286,94 268,90 89,69 2996,00 -1,57 88714,00 0,38 287,16 269,90 89,97 2996,30 -2,24 88497,00 0,37 287,02 270,90 89,78 2996,70 -1,90 88725,00 0,35 287,16 271,91 89,98 3002,30 -1,88 88739,00 0,32 287,05 272,91 89,98 3002,40 -1,70 88481,00 0,30 287,09 273,91 89,69 2998,80 -0,68 88480,00 0,28 287,02 274,99 89,68 2968,40 -0,83 88861,00 0,26 287,16 276,00 89,68 2997,20 -1,01 88568,00 0,25 286,99 277,00 89,77 2983,20 -1,18 88653,00 0,23 287,04 278,00 89,97 2960,00 -1,89 88402,00 0,22 286,94 279,00 89,97 2924,30 -1,09 88476,00 0,20 286,89 280,00 89,11 2946,50 -0,20 88324,00 0,18 286,83 281,00 89,97 2966,10 -0,76 88599,00 0,17 287,05 281,98 89,96 2939,90 -1,14 88055,00 0,13 286,83 282,98 89,97 2960,40 -1,85 88056,00 0,12 287,02 283,97 89,97 2951,10 -1,77 87944,00 0,11 286,89 284,97 89,97 2954,60 -0,09 88046,00 0,08 286,89 285,95 90,45 2949,70 0,22 88143,00 0,05 286,94 286,94 90,46 2957,60 -1,51 87963,00 0,04 286,90 287,93 89,03 2909,10 -4,47 87933,00 0,00 286,78 288,89 86,27 2914,00 -1,73 88005,00 0,00 286,80 289,85 88,25 2902,60 0,01 87830,00 0,00 286,82 290,81 89,69 2907,80 0,26 88026,00 0,00 286,47 291,76 87,31 2830,30 -0,11 87814,00 0,00 286,36 292,71 87,59 2813,00 0,44 87903,00 0,00 286,37 293,65 88,16 2815,00 0,78 87813,00 0,00 286,27 294,58 86,18 2686,00 -0,24 87795,00 0,00 285,82 295,50 86,85 2736,10 0,64 87884,00 0,00 286,12 296,42 87,12 2728,30 1,02 87849,00 0,00 286,09 297,33 87,49 2715,20 1,43 87844,00 0,00 285,56 298,22 87,02 2655,40 2,01 87742,00 0,00 286,03 299,09 87,40 2640,20 2,57 87970,00 0,00 286,04 299,97 89,40 2615,30 2,55 87716,00 0,00 285,72


300,84 89,88 2621,60 3,52 87846,00 0,00 285,52 301,69 87,59 2580,30 3,03 87923,00 0,00 285,83 302,54 88,55 2570,40 3,24 87989,00 0,00 285,65 303,39 88,55 2544,00 3,47 87948,00 0,00 285,44 304,22 89,40 2539,40 3,95 87885,00 0,00 285,24 305,05 86,58 2449,00 3,19 87769,00 0,00 285,42 305,88 87,50 2459,10 3,89 87863,00 0,00 285,26 306,71 87,79 2464,60 4,27 87749,00 0,00 284,95 307,54 88,94 2464,20 4,65 87901,00 0,00 284,95 308,34 86,85 2396,90 3,76 88099,00 0,00 285,02 309,12 87,12 2384,10 4,64 88089,00 0,00 285,04 309,91 88,25 2383,50 4,77 87893,00 0,00 284,72 310,69 89,31 2350,90 5,07 88064,00 0,00 284,63 311,47 86,94 2281,20 4,60 87924,00 0,00 284,58 312,23 85,98 2304,50 4,67 87781,00 0,00 284,57 312,98 85,97 2295,70 4,57 87764,00 0,00 284,23 313,74 86,85 2291,70 5,70 87918,00 0,00 283,99 314,49 88,07 2273,20 6,21 87984,00 0,00 283,99 315,23 84,84 2194,90 3,90 87714,00 0,00 284,15 315,97 84,84 2188,70 4,66 87959,00 0,00 284,04 316,72 85,88 2186,70 6,30 87774,00 0,00 283,94 317,54 - 0,0 - - - -

Tab. 11: FA type loaded in the core for the 4th cycle

FA Design

FA Type

Enrichment

(w/o %)

No. of U2O pins /

enrichment

Number of Gd-pins

(w/o Gd2O3/

235U)

No. of FA in the

core

Resi-dence time


TVSA 39AWU 3.90 243 / 4.00 60 / 3.60

9 (5.0/3.3) 17 3 1.5

TVSA 30AV5 2.98 303 / 3.00 9 (5.0/2.4) 2 2 1.5 TVSA 390GO 3.90 240 / 4.00

66 / 3.60 6 (5.0/3.3) 10 3 1.5

TVSA 390GO 3.90 240 / 4.00 66 / 3.60

6 (5.0/3.3) 20 2 1.5

TVSA 398GO 3.99 306 / 4.00 6 (5.0/3.30) 6 1 1.5 TVSA 398GO 3.99 306 / 4.00 6 (5.0/3.30) 6 0 1.5 TVSA 430GO 4.30 240 / 4,40

66 / 4,00 6 (5.0/3.6) 30 2 1.5

TVSA 439GT 4.39 306 / 4,40 6 (5.0/3.6) 36 1 1.5 TVSA 439GT 4.39 306 / 4,40 6 (5.0/3.6) 36 0 1.5

163

Fresh FA of the type 439GT with enrichment 4.38%

---> 2 ---> 32 ---> 22 ---> 20 ---> 82 --->

---> 3 ---> 41 ---> 111 --->

---> 4 ---> 31 ---> 54 ---> 69 ---> 68 --->

---> 5 ---> 30 ---> 93 --->

---> 9 ---> 12 ---> 8 --->

---> 13 ---> 10 ---> 1 --->

---> 16 ---> 40 ---> 28 ---> 73 ---> 46 --->

---> 17 ---> 114 ---> 157 --->

---> 24 ---> 50 ---> 62 --->

---> 25 ---> 45 ---> 23 ---> 57 --->

---> 26 ---> 52 ---> 80 --->

---> 36 ---> 44 ---> 59 ---> 33 --->

---> 37 ---> 79 ---> 53 --->

---> 48 ---> 58 ---> 56 ---> 15 --->

---> 49 ---> 65 ---> 77 ---> 66 --->

---> 61 ---> 72 ---> 136 ---> 100 ---> 125 ---> 86 --->

---> 63 ---> 27 ---> 76 --->

---> 74 ---> 35 --->

---> 90 ---> 129 ---> 149 --->

---> 101 ---> 137 ---> 89 --->

---> 103 ---> 92 ---> 91 ---> 118 ---> 88 --->

---> 115 ---> 99 ---> 121 --->

---> 116 ---> 106 ---> 108 --->

---> 127 ---> 85 ---> 113 --->

---> 128 ---> 120 ---> 87 ---> 98 --->

---> 138 ---> 112 ---> 84 --->

---> 139 ---> 119 ---> 141 ---> 107 --->

---> 140 ---> 104 ---> 150 --->

---> 147 ---> 60 ---> 14 --->

---> 148 ---> 124 ---> 43 --->

---> 151 ---> 154 ---> 158 --->

---> 155 ---> 152 ---> 156 --->

---> 159 ---> 132 ---> 142 ---> 144 --->

---> 160 ---> 133 ---> 110 ---> 96 --->

---> 161 ---> 123 ---> 71 --->

---> 162 ---> 134 ---> 146 ---> 122 --->

Fresh fA of the type 398GO with enrichment 3.99%

---> 55 ---> 11 ---> 19 ---> 21 ---> 29 --->

---> 67 ---> 38 ---> 64 ---> 39 ---> 78 --->

---> 70 ---> 47 ---> 34 ---> 51 ---> 7 --->

---> 94 ---> 126 ---> 18 ---> 42 --->

---> 97 ---> 117 ---> 130 ---> 105 ---> 131 --->

---> 109 ---> 153 ---> 145 ---> 143 ---> 135 --->

Reshuffling of FA

2111 ---> 6 --->

2126 ---> 75 --->

2153 ---> 102 --->

2154 ---> 163 --->

Fig. 18: Scheme for the 3

rd reshuffling

Fig. 19: Core loading pattern for the 4th cycle Tab. 12: Reference cycle data for the 4

th cycle

Teff H10, % Nt, MW OFFSET G, m3/h Cb, g/kg Tinlet, C

0,047 66,571 423,89 4,638 88059 8,80 281,11 0,351 75,174 2270,7 -3,745 87636 7,85 285,3 1,145 82,565 2851,4 -4,269 87607 6,25 286,62 2,116 87,689 2949,9 -4,119 87679 5,81 286,87 3,106 87,5 2981,3 -2,968 87663 5,70 286,83 4,093 87,498 2949,5 -2,586 87552 5,70 286,7 5,087 88,25 2997,5 -2,77 87584 5,70 286,68 6,082 88,253 2969,7 -2,725 87517 5,70 286,82 7,076 88,648 2960,5 -2,727 87587 5,70 287,06 8,067 88,645 2968,9 -2,557 87531 5,70 286,86


9,056 87,598 2968,2 -1,668 87727 5,60 286,89 10,05 87,692 2969 -2,806 87697 5,60 286,53

11,045 88,252 2974,5 -2,296 87667 5,56 286,75 12,036 88,255 2953,3 -2,107 87630 5,50 286,91 13,026 88,255 2969,9 -2,701 87608 5,44 286,62 14,018 88,254 2969,5 -2,655 87589 5,44 286,92 15,009 88,253 2967,1 -2,648 87652 5,38 286,74

16 88,253 2970,2 -2,493 87655 5,32 286,62 16,992 88,252 2965,7 -2,634 87609 5,32 286,95 17,984 88,254 2967,5 -2,651 87684 5,32 286,73 18,977 88,257 2967,8 -2,551 87721 5,26 286,44 19,969 88,257 2966,7 -2,899 87677 5,26 286,85 20,962 88,247 2965,2 -2,827 87672 5,26 286,61 21,954 88,351 2969,8 -2,963 87534 5,20 286,99 22,947 88,35 2974,9 -2,587 87810 5,20 286,93 23,94 88,251 2995,7 -2,382 87783 5,20 286,5

24,932 88,254 2981,2 -2,922 87692 5,20 286,74 25,924 88,25 2967 -2,787 87705 5,20 287,09 26,917 88,247 2970,9 -2,563 87715 5,14 287,04 27,91 88,157 2996,5 -2,504 87704 5,07 286,46

28,904 88,256 2971,9 -2,493 87491 5,07 286,9 29,896 88,843 2968,7 -2,978 87770 5,01 286,59 30,889 87,691 2943,5 -3,339 87686 5,01 286,92 31,88 88,064 2971,7 -2,373 87587 5,01 286,74

32,873 88,842 2969,5 -2,95 87628 5,01 286,95 33,867 88,84 2988,5 -2,714 87652 4,95 286,91 34,859 88,842 2997,8 -2,446 87581 4,95 286,93 35,854 88,84 2982,2 -2,765 87644 4,95 287,11 36,846 88,744 2966,2 -2,688 87672 4,88 287,06 37,839 88,739 2971,4 -2,407 87651 4,88 286,8 38,832 88,546 2959,8 -2,427 87695 4,82 286,88 39,825 88,547 2970,1 -2,697 87694 4,82 286,79 40,813 88,547 2973,6 -2,891 87681 4,82 287 41,804 88,245 2974,9 -2,761 87722 4,82 287,07 42,796 88,746 2969,2 -2,301 87713 4,82 286,99 43,786 88,744 2958,2 -2,756 87731 4,82 286,87 44,777 88,639 2974,7 -2,773 87637 4,82 286,97 45,809 88,646 2978 -2,605 87792 4,82 287,02 46,799 88,645 2971,7 -2,692 87633 4,82 286,92 47,79 88,644 2974 -2,885 87776 4,79 287,04 48,78 88,451 2968,6 -2,615 87568 4,79 286,9

49,789 88,355 2975,3 -2,71 87689 4,76 286,83 50,762 88,648 2983,6 -2,554 87607 4,76 286,88 51,753 88,646 2975,6 -2,505 87625 4,73 286,77 52,746 88,449 2967,4 -2,612 87622 4,73 286,91


53,739 88,451 2983 -2,497 87720 4,70 286,78 54,731 88,545 2965,6 -2,333 87630 4,70 286,9 55,723 88,542 2964,4 -2,612 87842 4,67 286,85 56,715 88,543 2996,9 -2,56 87823 4,67 287,16 57,709 88,544 2997,9 -2,604 87753 4,64 286,9 58,705 88,543 2970,9 -2,856 87871 4,64 286,98 59,701 88,544 2969,4 -2,697 87754 4,64 286,99 60,695 88,251 2966,2 -3,235 87801 4,61 287,15 61,688 88,841 2970,5 -2,62 87711 4,54 287,12 62,681 88,447 2971 -3,212 87597 4,54 286,81 63,675 88,445 2996,9 -2,439 87824 4,51 286,83 64,668 88,446 2997,6 -2,668 87783 4,48 286,84 65,663 88,448 2978,7 -2,667 87644 4,48 286,93 66,656 88,645 2995,9 -2,394 87627 4,45 286,84 67,651 88,546 2995,6 -2,919 87660 4,45 286,81 68,645 88,253 2992 -2,7 87701 4,42 286,95 69,638 88,843 2967,2 -2,634 87815 4,42 286,74 70,631 88,247 2964,3 -2,428 87780 4,39 287,16 71,625 89,028 2996,2 -2,625 87747 4,39 286,78 72,623 89,78 2997,8 -2,14 87698 4,33 286,83 73,62 89,691 2998,1 -2,512 87826 4,33 287,15

74,615 89,69 2970,5 -2,293 87817 4,30 286,99 75,61 89,689 2965,8 -2,465 87827 4,27 286,8

76,605 89,979 2997,6 -2,679 87759 4,27 286,84 77,626 89,975 2997,1 -2,646 87721 4,24 287,04

78,6 89,977 2970,2 -2,239 87703 4,24 286,93 79,597 90,072 2969,1 -2,029 87751 4,20 287,1 80,594 90,069 2996 -2,197 87674 4,17 287,12 81,585 90,072 2997,3 -2,365 87731 4,17 286,72 82,583 90,071 2970,9 -2,333 87864 4,14 286,9 83,581 90,069 2995,5 -1,905 87891 4,11 287,03 84,575 90,068 2969,7 -1,625 87918 4,08 286,84 85,574 90,068 2997,8 -2,046 87906 4,08 287,01 86,572 90,074 2996,2 -2,237 87897 4,05 286,81 87,572 90,07 3000,3 -2,331 87812 4,05 286,87 88,573 90,068 2997,6 -2,472 87642 4,02 286,79 89,575 89,682 2995,5 -2,781 87708 4,02 287,01 90,577 89,97 2996,5 -2,07 87633 3,98 286,93 91,577 89,969 2997,8 -2,033 88032 3,95 286,9 92,578 89,968 3000,3 -2,273 87939 3,95 286,87 93,579 90,064 2997,6 -2,279 87798 3,92 286,91 94,58 90,069 2995,7 -2,284 87796 3,89 286,94

95,581 89,396 2997,8 -2,876 87681 3,86 287,1 96,582 89,975 2997,7 -2,197 87875 3,86 286,75 97,582 90,07 2996 -2,059 87775 3,83 286,81


98,58 90,064 2995,4 -2,274 87747 3,80 286,81 99,582 90,067 2995,7 -2,049 87747 3,80 286,95 100,58 90,065 2996,5 -2,289 87743 3,77 286,68 101,58 90,064 2997,6 -2,231 87781 3,74 286,81 102,58 90,065 2997,9 -2,268 87814 3,74 286,88 103,58 90,063 2997,7 -2,234 87909 3,71 287,16 104,58 90,067 3000,2 -2,36 87907 3,71 286,69 105,57 90,064 2998 -2,559 88008 3,68 286,72 106,57 90,063 3001,5 -2,583 87896 3,65 286,93 107,57 90,061 2996,6 -2,334 87737 3,62 286,73 108,57 90,063 2997,1 -2,197 87921 3,59 286,86 109,58 90,06 2997,8 -2,351 87788 3,55 286,87 110,58 90,066 2994,7 -2,395 87762 3,52 286,88 111,58 90,063 3000,1 -2,437 87950 3,52 286,77 112,58 90,066 2995,6 -2,401 87863 3,49 286,76 113,58 90,065 3000,3 -2,337 87943 3,49 286,87 114,58 90,067 2997,8 -2,101 87805 3,49 286,96 115,58 90,069 2996,5 -2,348 88043 3,46 286,8 116,58 90,07 3000,1 -2,278 87899 3,43 286,81 117,58 90,061 2997,6 -2,238 87834 3,40 286,8 118,58 90,064 2996 -1,996 87779 3,37 286,74 119,58 90,071 2966,6 -2,382 87869 3,37 286,89 120,58 90,069 3000,2 -2,392 87681 3,37 286,96 121,57 90,066 3001,2 -2,28 88000 3,37 286,85 122,57 90,066 2998 -2,446 87959 3,34 286,95 123,57 89,684 2997,7 -2,685 87827 3,34 286,92 124,57 89,971 2996,2 -2,12 87808 3,31 286,73 125,57 89,969 2997,7 -2,012 87964 3,31 286,97 126,57 89,971 2997,8 -2,462 87844 3,28 286,75 127,49 90,159 2995,7 -2,783 87957 3,25 286,8 128,4 0,036 17,109 -32,68 88397 4,39 276,28 128,4 0,035 2,965 -32,68 88305 7,35 277,23

128,48 71,142 481,54 18,642 88036 6,75 280,56 128,89 79,803 2437,1 -2,685 87863 5,07 286,6 129,82 87,963 2944,6 -2,659 87606 3,40 286,84 130,8 88,832 2975 -2,305 87683 3,15 286,68

131,79 89,769 2997,2 -3,215 87660 3,15 286,71 132,78 89,581 2963 -2,655 87663 3,12 286,62 133,78 90,058 2966,5 -2,516 87712 3,12 286,65 134,77 89,964 2974,1 -2,483 87666 3,12 286,64 135,76 89,963 2969,5 -2,487 87683 3,09 286,64 136,74 90,253 2983,5 -2,714 87704 3,09 286,49 137,73 90,542 2982,2 -2,333 87803 3,06 286,58 138,7 90,541 2947,1 -2,666 87712 3,06 286,58

139,71 90,544 2968,9 -2,293 87763 3,03 286,47


140,69 90,543 2970,1 -1,725 87715 2,99 286,32 141,68 90,254 2965,5 -1,518 87683 2,99 286,55 142,67 90,545 2970,1 -1,559 87701 2,99 286,48 143,65 90,546 2970,6 -1,766 87841 2,96 286,31 144,64 90,545 2960,9 -2,123 87660 2,93 286,33 145,63 90,544 2967,7 -2,775 87777 2,90 286,33 146,63 90,159 2973,4 -2,329 87793 2,90 286,75 147,62 90,159 2969,2 -2,453 87729 2,87 286,64 148,61 90,156 2964,6 -2,375 87894 2,84 286,57 149,61 90,157 2970,2 -2,387 87832 2,78 286,56 150,6 90,156 2995,7 -2,294 87692 2,72 286,66

150,88 55,179 67,773 34,489 88247 5,70 279,89 151,21 70,002 1684,9 0,705 88005 4,20 282,63 151,76 71,029 1659,3 1,685 88065 3,52 282,44 152,32 69,439 1688,3 0,378 88118 3,46 282,61 152,89 69,434 1697,9 0,364 87998 3,46 282,61 153,63 80,745 2358,6 0,023 87871 3,12 285,23 154,42 80,746 2341,1 0,152 87888 3,03 285,02 155,2 80,263 2342 -0,407 87918 3,03 284,9

155,99 79,992 2342,8 -0,59 87885 2,97 284,88 156,78 79,992 2366,7 -0,546 87824 2,97 284,76 157,56 79,807 2350,2 -0,862 87905 2,97 284,79 158,35 79,808 2370,2 -0,903 87971 2,94 284,82 159,13 79,126 2355,9 -0,762 88078 2,94 284,44 159,92 79,124 2374,4 -1,351 87912 2,91 284,68 160,7 79,125 2364,1 -1,111 87912 2,91 284,74

161,49 79,125 2357,6 -0,72 87888 2,88 284,59 162,28 79,806 2482 -2,994 87947 2,84 285,18 163,21 90,542 2973,1 -3,305 87723 2,66 287,06 164,2 90,353 2969,9 -4,232 87611 2,47 287

165,18 89,97 2980,8 -3,902 87853 2,41 287,03 166,18 90,255 2983,6 -3,035 87815 2,38 286,88 167,17 90,067 2964,6 -2,02 87799 2,35 286,86 168,16 90,45 2970,3 -2,149 87827 2,33 287,07 169,16 90,066 2969,6 -2,764 87810 2,29 287,05 170,16 90,063 2971,4 -3,335 87630 2,26 286,83 171,15 89,967 2982,8 -2,78 87687 2,26 286,72 172,14 89,968 2978,6 -2,898 87761 2,23 287,13 173,14 89,971 2975,2 -2,5 87598 2,19 286,88 174,14 90,258 2997,9 -2,218 87758 2,16 286,73 175,13 90,254 2997,8 -2,655 87765 2,16 286,7 176,13 90,252 2970,3 -2,447 87829 2,13 286,72 177,13 90,254 2970,8 -2,557 87929 2,13 286,72 178,13 90,259 2997,8 -2,644 87718 2,10 286,75 179,13 90,254 2997,3 -2,929 87797 2,10 286,77


180,13 90,26 2998,1 -2,463 87770 2,07 286,66 181,13 90,254 2998,1 -2,789 87805 2,07 286,96 182,14 90,257 2997,6 -2,701 87810 2,04 286,75 183,14 90,263 2970,6 -2,587 87954 2,01 286,78 184,14 90,263 2997,7 -2,919 87824 1,98 286,68 185,14 90,261 2998 -2,622 87828 1,95 286,85 186,15 90,258 2970,4 -2,4 88016 1,95 286,81 187,15 90,265 2996,9 -2,538 88021 1,92 286,68 188,15 90,069 2997,9 -2,374 87758 1,92 286,79 189,16 90,069 2997,9 -2,534 87671 1,89 286,56 190,16 90,072 2997,6 -2,555 87804 1,88 286,56 191,16 90,261 3000,4 -2,397 87720 1,86 286,72 192,17 90,545 2997,8 -2,393 87589 1,86 286,59 193,17 90,548 2970,8 -2,284 87806 1,86 286,61 194,17 90,551 3000 -3,012 87818 1,83 286,62 195,17 90,258 2997,6 -2,979 87796 1,79 286,66 196,18 90,543 3000,8 -2,142 87966 1,79 286,79 197,18 90,544 2997,4 -1,697 87760 1,76 286,65 198,18 90,544 3000,2 -1,601 87857 1,73 286,75 199,18 90,16 2998,1 -2,467 88027 1,73 286,78 200,19 90,161 2998 -2,398 87803 1,70 286,51 201,19 90,161 2997,8 -2,167 87906 1,67 286,77 202,19 90,16 2997,8 -2,095 87747 1,67 286,56 203,19 90,166 2997,6 -2,16 87886 1,64 286,78 204,2 90,167 2997,9 -2,272 87941 1,64 286,55 205,2 90,165 3000,3 -2,47 87830 1,64 286,6 206,2 90,158 2997,6 -2,224 87867 1,61 286,64

207,21 90,35 3000,2 -1,859 87955 1,57 286,56 208,21 90,349 2997,7 -1,87 87825 1,54 286,55 209,21 90,062 2996,7 -2,177 87915 1,51 286,64 210,22 90,158 2997,8 -2,457 87936 1,45 286,53 211,22 89,967 3000,3 -2,407 87940 1,42 286,66 212,22 89,97 3000,2 -2,532 87801 1,39 286,59 213,23 89,971 2998 -2,023 87675 1,39 286,54 214,2 72,015 2301,2 -1,083 87923 1,36 284,17

214,97 75,167 2480,8 -2,81 87960 1,61 284,66 215,87 84,281 2897,7 -2,875 87747 1,61 286,31 216,86 88,254 3000,2 -2,625 87964 1,39 286,58 217,87 88,841 3000 -2,793 87967 1,36 286,67 218,87 89,396 2997,6 -2,279 87949 1,33 286,52 219,87 89,974 2997,9 -1,687 87987 1,30 286,62 220,88 89,97 3000,7 -1,907 87898 1,27 286,5 221,88 90,355 3000,7 -2,061 87861 1,24 286,52 222,88 90,164 2998 -2,174 88025 1,21 286,65 223,89 90,169 2998,1 -2,544 87895 1,21 286,47


224,89 89,973 2998,1 -2,016 87753 1,18 286,52 225,89 90,165 2997,4 -1,871 87851 1,14 286,44 226,9 89,97 2970,8 -1,786 87991 1,11 286,6 227,9 90,165 2997,8 -1,237 87869 1,08 286,49 228,9 90,062 2997,6 -1,954 87835 1,05 286,53

229,91 90,157 2997,1 -1,701 87944 1,05 286,56 230,91 89,968 3000,1 -1,849 87875 1,02 286,52 231,91 89,966 2997,8 -1,882 87906 1,02 286,46 232,91 89,966 2964,5 -1,201 87900 0,99 286,51 233,9 89,391 2976,1 -0,961 87844 0,99 286,49 234,9 89,968 2979,9 -0,867 87899 0,99 286,39 235,9 90,064 2996,7 -1,021 88020 0,98 286,5

236,89 90,065 2970,1 -1,245 87877 0,97 286,38 237,89 90,065 2997,9 -1,818 87874 0,95 286,43 238,89 90,068 2997 -2,092 87832 0,94 286,48 239,89 89,779 2997,7 -2,394 87814 0,92 286,46 240,89 90,26 2998 -1,123 87999 0,90 286,45 241,88 89,394 2973,7 -1,224 87970 0,87 286,61 242,87 90,162 2970,4 -1,945 87821 0,85 286,45 243,87 90,16 2970,3 -1,882 87992 0,83 286,44 244,87 90,069 2970,3 -1,523 88010 0,80 286,39 245,87 89,776 2997,5 -1,717 87947 0,78 286,46 246,87 89,875 2963,9 -1,397 87929 0,75 286,36 247,87 89,781 2998 -1,353 87915 0,74 286,59 248,86 89,779 2975,3 -1,045 88034 0,72 286,38 249,86 89,682 2975,2 -0,622 87929 0,69 286,41 250,85 89,974 2968,2 -0,458 87974 0,68 286,44 251,85 89,972 2997,6 -0,559 87912 0,65 286,43 252,85 90,349 2998,1 -0,567 87865 0,63 286,44 253,85 90,542 2997 -1,631 87964 0,61 286,44 254,85 89,967 3001 -2,029 87856 0,59 286,45 255,85 90,16 2970,6 -1,587 87995 0,57 286,48 256,85 90,158 2998,1 -1,337 88086 0,54 286,47 257,86 90,159 2970,1 -1,152 88019 0,53 286,37 258,86 90,255 2998,1 -1,781 88103 0,51 286,47 259,86 90,16 2997,7 -1,807 88098 0,49 286,61 260,86 90,259 2996,5 -1,552 87935 0,47 286,49 261,87 89,875 2970,6 -0,693 87878 0,46 286,38 262,87 89,776 2997,3 -1,065 87699 0,44 286,58 263,88 90,066 2998,1 -1,591 87950 0,42 286,48 264,88 89,971 2951 -0,409 87911 0,40 286,69 265,88 90,162 2952,4 -0,785 87847 0,38 286,63 266,88 89,972 2949,3 -1,022 87970 0,37 286,31 267,87 89,875 2945,9 -1,055 87858 0,35 286,48 268,87 89,678 2971,9 -1,242 87996 0,32 286,52


269,87 90,253 2983,4 -1,312 87879 0,30 286,55 270,88 90,159 2997,2 -1,644 87397 0,28 286,45 271,88 89,97 2997,8 -2,079 87277 0,24 286,63 272,88 89,97 2997,7 -1,821 87224 0,21 286,63 273,89 90,163 2997,8 -1,477 87447 0,19 286,54 274,89 90,351 2998 -1,545 87303 0,17 286,51 275,89 90,352 3000,3 -1,633 87190 0,14 286,44 276,9 89,971 2973,1 -1,309 87275 0,13 286,36 277,9 90,163 2975,3 -0,887 87251 0,12 286,39 278,9 90,159 2991 -0,713 87236 0,10 286,56

279,91 89,585 2975,7 -0,479 87308 0,08 286,45 280,91 89,391 2997,7 -1,263 87169 0,06 286,48 281,91 90,545 2977,1 -1,462 87248 0,04 286,48 282,89 86,082 2919,7 -1,497 87396 0,03 286,37 283,85 87,118 2906,2 -0,819 87276 0,00 286,28 284,81 89,015 2911,4 0,447 87115 0,00 286,2 285,77 85,97 2801,8 -0,793 87357 0,00 286,11 286,71 86,572 2828,4 0,126 87301 0,00 286,05 288,27

8.3 Appendix 3: Some preliminary results for the solution of benchmark

task 1

0 10 20 30 400,75

0,80

0,85

0,90

0,95

1,00

CASMO-4 HELIOS NESSEL Averaged value

Mu

ltip

licati

on

facto

r K

∞∞ ∞∞

Fuel assembly burnup [MWd/kg HM]

a) FA 13

0 10 20 30 400,80

0,85

0,90

0,95

1,00

1,05

1,10

1,15

1,20


Mu

ltip

licati

on

facto

r K

∞∞ ∞∞


b) FA 22

Dev. % CASMO HELIOS NESSEL

Standard 0,43 0,22 0,65 Max. 1,11 0,51 0,47 Min. -0,20 -0,32 -1,62


Standard 0,36 0,16 0,51 Max 0,87 0,31 0,49 Min -0,29 -0,26 -1,17

Fig. 20: Multiplication factor k∞ vs. burnup for the FA 13 (a) and FA 22 (b) Tab. 13: Multiplication factor k∞ vs. burnup for the FA 13

Burnup (MWd/kg)

CASMO HELIOS NESSEL Averaged

k∞ Dev.

CAS % Dev.

HEL % Dev.

NES %

0,00 0,97904 0,98058 0,97288 0,97750 -0,15771 -0,31526 0,47297

1,00 0,95305 0,95268 0,94974 0,95182 -0,12888 -0,09001 0,21889

2,00 0,95562 0,95502 0,95063 0,95376 -0,19539 -0,13248 0,32788

3,00 0,95211 0,95145 0,94753 0,95036 -0,18376 -0,11431 0,29807

Burnup (MWd/kg)


k∞ Dev.

CAS % Dev.

HEL % Dev.

NES %

4,00 0,94616 0,94546 0,94248 0,94470 -0,15449 -0,08039 0,23488

5,00 0,93919 0,93848 0,93650 0,93806 -0,12071 -0,04502 0,16573

6,00 0,93188 0,93117 0,93009 0,93105 -0,08952 -0,01326 0,10279

7,00 0,92452 0,92383 0,92352 0,92396 -0,06113 0,01355 0,04758

8,00 0,91725 0,91660 0,91694 0,91693 -0,03507 0,03582 -0,00076

9,00 0,91012 0,90954 0,91045 0,91004 -0,00931 0,05442 -0,04510

10,00 0,90317 0,90268 0,90411 0,90332 0,01646 0,07070 -0,08716

11,00 0,89642 0,89603 0,89795 0,89680 0,04237 0,08585 -0,12822

12,00 0,88986 0,88962 0,89199 0,89049 0,07083 0,09779 -0,16862

15,00 0,87140 0,87173 0,87545 0,87286 0,16742 0,12962 -0,29704

18,00 0,85468 0,85554 0,86088 0,85703 0,27451 0,17416 -0,44867

21,00 0,83966 0,84104 0,84811 0,84294 0,38868 0,22496 -0,61364

24,00 0,82627 0,82813 0,83693 0,83044 0,50269 0,27871 -0,78140

27,00 0,81428 0,81664 0,82714 0,81935 0,61903 0,33099 -0,95002

30,00 0,80358 0,80644 0,81851 0,80951 0,73238 0,37908 -1,11146

33,00 0,79403 0,79738 0,81086 0,80076 0,84019 0,42184 -1,26203

36,00 0,78552 0,78934 0,80406 0,79297 0,93981 0,45807 -1,39788

39,00 0,77793 0,78220 0,79795 0,78603 1,03002 0,48679 -1,51681

42,00 0,77115 0,77584 0,79242 0,77980 1,10981 0,50838 -1,61818 Tab. 14: Multiplication factor k∞ vs. burnup for the FA 22

Burnup (MWd/kg)


k∞ Dev.

CAS % Dev.

HEL % Dev.

NES %

0,00 0,97904 0,98058 0,97288 0,97750 -0,15771 -0,31526 0,47297

1,00 0,95305 0,95268 0,94974 0,95182 -0,12888 -0,09001 0,21889

2,00 0,95562 0,95502 0,95063 0,95376 -0,19539 -0,13248 0,32788

3,00 0,95211 0,95145 0,94753 0,95036 -0,18376 -0,11431 0,29807

4,00 0,94616 0,94546 0,94248 0,94470 -0,15449 -0,08039 0,23488

5,00 0,93919 0,93848 0,93650 0,93806 -0,12071 -0,04502 0,16573

6,00 0,93188 0,93117 0,93009 0,93105 -0,08952 -0,01326 0,10279

7,00 0,92452 0,92383 0,92352 0,92396 -0,06113 0,01355 0,04758

8,00 0,91725 0,91660 0,91694 0,91693 -0,03507 0,03582 -0,00076

9,00 0,91012 0,90954 0,91045 0,91004 -0,00931 0,05442 -0,04510

Burnup (MWd/kg)


k∞ Dev.

CAS % Dev.

HEL % Dev.

NES %

10,00 0,90317 0,90268 0,90411 0,90332 0,01646 0,07070 -0,08716

11,00 0,89642 0,89603 0,89795 0,89680 0,04237 0,08585 -0,12822

12,00 0,88986 0,88962 0,89199 0,89049 0,07083 0,09779 -0,16862

15,00 0,87140 0,87173 0,87545 0,87286 0,16742 0,12962 -0,29704

18,00 0,85468 0,85554 0,86088 0,85703 0,27451 0,17416 -0,44867

21,00 0,83966 0,84104 0,84811 0,84294 0,38868 0,22496 -0,61364

24,00 0,82627 0,82813 0,83693 0,83044 0,50269 0,27871 -0,78140

27,00 0,81428 0,81664 0,82714 0,81935 0,61903 0,33099 -0,95002

30,00 0,80358 0,80644 0,81851 0,80951 0,73238 0,37908 -1,11146

33,00 0,79403 0,79738 0,81086 0,80076 0,84019 0,42184 -1,26203

36,00 0,78552 0,78934 0,80406 0,79297 0,93981 0,45807 -1,39788

39,00 0,77793 0,78220 0,79795 0,78603 1,03002 0,48679 -1,51681

42,00 0,77115 0,77584 0,79242 0,77980 1,10981 0,50838 -1,61818

0 10 20 30 40 50 600,75

0,80

0,85

0,90

0,95

1,00

1,05

1,10

1,15


Mu

ltip

licati

on

facto

r K

∞∞ ∞∞


a) FA 30AV5

0 10 20 30 40 50 600,80

0,85

0,90

0,95

1,00

1,05

1,10

1,15

1,20


Mu

ltip

licati

on

facto

r K

∞∞ ∞∞


b) FA 390AWU

Dev., % CASMO HELIOS NESSEL

Standard 0,51 0,18 0,67 Max 1,24 0,38 0,58 Min -0,70 -0,28 -1,62


Standard 0,38 0,15 0,52 Max 0,95 0,27 0,54 Min -0,53 -0,29 -1,22

Fig. 21: Multiplication factor k∞ vs. burnup for the FA 30AV5 (a) and FA

39AWU (b) Tab. 15: Multiplication factor k∞ vs. burnup for the FA 30AV5

Burnup (MWd/kg)


k∞ Dev.

CAS % Dev.

HEL % Dev.

NES %

0 1,13810 1,13816 1,132015 1,13609 -0,17678 -0,18206 0,35883

1 1,09610 1,09729 1,091701 1,09503 -0,09768 -0,20636 0,30404

2 1,09540 1,09831 1,092212 1,09531 -0,00846 -0,27414 0,28260

3 1,09530 1,09831 1,092268 1,09529 -0,00067 -0,27548 0,27615

4 1,09780 1,09808 1,092293 1,09606 -0,15896 -0,18451 0,34347

5 1,10240 1,09824 1,092657 1,09777 -0,42216 -0,04321 0,46537

6 1,10690 1,09923 1,093857 1,10000 -0,62767 0,06961 0,55806

Burnup (MWd/kg)


k∞ Dev.

CAS % Dev.

HEL % Dev.

NES %

7 1,10960 1,10049 1,09541 1,10183 -0,70489 0,12192 0,58297

8 1,10590 1,09949 1,094612 1,10000 -0,53630 0,04642 0,48988

9 1,09760 1,09468 1,090148 1,09414 -0,31599 -0,04911 0,36510

10 1,08790 1,08669 1,08252 1,08570 -0,20233 -0,09088 0,29320

11 1,07810 1,07741 1,07366 1,07639 -0,15886 -0,09476 0,25363

12 1,06850 1,06793 1,06461 1,06701 -0,13933 -0,08591 0,22524

13 1,05910 1,05860 1,055677 1,05779 -0,12362 -0,07635 0,19998

14 1,04990 1,04948 1,046927 1,04877 -0,10784 -0,06779 0,17563

15 1,04100 1,04058 1,038365 1,03998 -0,09792 -0,05753 0,15545

16 1,03230 1,03189 1,029991 1,03139 -0,08787 -0,04812 0,13600

17 1,02370 1,02340 1,021798 1,02297 -0,07175 -0,04243 0,11418

18 1,01530 1,01508 1,01378 1,01472 -0,05716 -0,03548 0,09264

19 1,00710 1,00693 1,005929 1,00665 -0,04440 -0,02752 0,07192

20 0,99902 0,99894 0,9982413 0,99873 -0,02866 -0,02065 0,04931

21 0,99109 0,99111 0,9907192 0,99097 -0,01180 -0,01382 0,02562

22 0,98329 0,98341 0,9833446 0,98335 0,00592 -0,00628 0,00037

23 0,97562 0,97585 0,9761252 0,97587 0,02511 0,00154 -0,02666

24 0,96807 0,96843 0,9690537 0,96852 0,04625 0,00908 -0,05532

25 0,96065 0,96113 0,9621294 0,96130 0,06794 0,01801 -0,08595

26 0,95334 0,95396 0,9553478 0,95422 0,09180 0,02682 -0,11862

27 0,94616 0,94690 0,9487056 0,94726 0,11562 0,03750 -0,15312

28 0,93909 0,93997 0,9422021 0,94042 0,14150 0,04793 -0,18943

29 0,93214 0,93317 0,9358356 0,93372 0,16870 0,05839 -0,22709

30 0,92531 0,92648 0,9296044 0,92713 0,19646 0,07027 -0,26673

31 0,91861 0,91992 0,9235044 0,92068 0,22463 0,08235 -0,30698

32 0,91204 0,91348 0,917535 0,91435 0,25282 0,09533 -0,34815

33 0,90557 0,90715 0,9116976 0,90814 0,28291 0,10893 -0,39183

34 0,89922 0,90095 0,9059898 0,90205 0,31409 0,12231 -0,43640

35 0,89298 0,89487 0,900405 0,89609 0,34651 0,13559 -0,48210

36 0,88685 0,88891 0,8949492 0,89024 0,38039 0,14899 -0,52939

37 0,88084 0,88306 0,8896183 0,88451 0,41448 0,16349 -0,57797

38 0,87495 0,87735 0,884409 0,87890 0,44977 0,17670 -0,62646

39 0,86918 0,87175 0,879321 0,87342 0,48511 0,19086 -0,67597

40 0,86352 0,86628 0,8743553 0,86805 0,52206 0,20411 -0,72617

41 0,85798 0,86093 0,8695059 0,86281 0,55926 0,21735 -0,77661

Burnup (MWd/kg)


k∞ Dev.

CAS % Dev.

HEL % Dev.

NES %

42 0,85257 0,85571 0,8647771 0,85769 0,59645 0,23035 -0,82681

43 0,84728 0,85062 0,8601654 0,85269 0,63428 0,24258 -0,87687

44 0,84211 0,84565 0,8556679 0,84781 0,67224 0,25469 -0,92693

45 0,83706 0,84081 0,8512889 0,84305 0,71086 0,26605 -0,97692

46 0,83214 0,83610 0,8470192 0,83842 0,74900 0,27668 -1,02568

47 0,82734 0,83151 0,8428609 0,83390 0,78710 0,28704 -1,07414

48 0,82266 0,82704 0,838813 0,82950 0,82511 0,29709 -1,12220

49 0,81811 0,82269 0,8348699 0,82522 0,86198 0,30698 -1,16897

50 0,81369 0,81847 0,8310392 0,82107 0,89839 0,31622 -1,21462

51 0,80939 0,81436 0,82731 0,81702 0,93388 0,32557 -1,25946

52 0,80522 0,81039 0,8236834 0,81310 0,96886 0,33302 -1,30189

53 0,80117 0,80653 0,8201604 0,80929 1,00296 0,34065 -1,34360

54 0,79724 0,80279 0,8167371 0,80559 1,03639 0,34745 -1,38384

55 0,79343 0,79917 0,8134106 0,80200 1,06901 0,35331 -1,42232

56 0,78975 0,79567 0,8101789 0,79853 1,09989 0,35853 -1,45842

57 0,78618 0,79227 0,8070424 0,79516 1,12985 0,36397 -1,49381

58 0,78273 0,78899 0,8039968 0,79191 1,15867 0,36818 -1,52685

59 0,77940 0,78581 0,8010414 0,78875 1,18548 0,37280 -1,55828

60 0,77618 0,78275 0,7981743 0,78570 1,21184 0,37564 -1,58748

61 0,77307 0,77978 0,7953912 0,78275 1,23630 0,37906 -1,61535 Tab. 16: Multiplication factor k∞ vs. burnup for the FA 39AWU

Burnup (MWd/kg)


k∞ Dev.

CAS % Dev.

HEL % Dev.

NES %

0 1,21520 1,21464 1,208123 1,21265 -0,20993 -0,16375 0,37367

1 1,16800 1,16836 1,161718 1,16603 -0,16929 -0,20017 0,36946

2 1,16430 1,16600 1,158859 1,16305 -0,10722 -0,25338 0,36060

3 1,16050 1,16329 1,156033 1,15994 -0,04819 -0,28872 0,33691

4 1,15740 1,16018 1,153058 1,15688 -0,04501 -0,28531 0,33031

5 1,15600 1,15708 1,150173 1,15442 -0,13707 -0,23062 0,36769

6 1,15590 1,15423 1,147514 1,15255 -0,29083 -0,14594 0,43677

7 1,15590 1,15182 1,145234 1,15098 -0,42705 -0,07258 0,49963

8 1,15550 1,14985 1,143447 1,14960 -0,51331 -0,02183 0,53514

Burnup (MWd/kg)


k∞ Dev.

CAS % Dev.

HEL % Dev.

NES %

9 1,15380 1,14768 1,141566 1,14768 -0,53307 0,00017 0,53290

10 1,14920 1,14416 1,138406 1,14392 -0,46140 -0,02081 0,48220

11 1,14190 1,13885 1,133572 1,13811 -0,33324 -0,06525 0,39850

12 1,13320 1,13181 1,126998 1,13067 -0,22382 -0,10088 0,32470

13 1,12430 1,12367 1,119249 1,12241 -0,16871 -0,11259 0,28130

14 1,11530 1,11509 1,111023 1,11380 -0,13428 -0,11543 0,24971

15 1,10650 1,10644 1,10271 1,10522 -0,11612 -0,11069 0,22680

16 1,09790 1,09790 1,094471 1,09676 -0,10422 -0,10422 0,20843

17 1,08940 1,08950 1,08635 1,08842 -0,09035 -0,09953 0,18988

18 1,08110 1,08125 1,078364 1,08024 -0,07980 -0,09368 0,17348

19 1,07300 1,07315 1,070513 1,07222 -0,07265 -0,08664 0,15930

20 1,06490 1,06518 1,062791 1,06429 -0,05728 -0,08359 0,14088

21 1,05710 1,05735 1,055193 1,05655 -0,05228 -0,07594 0,12822

22 1,04930 1,04964 1,047716 1,04889 -0,03953 -0,07195 0,11148

23 1,04160 1,04204 1,040356 1,04133 -0,02574 -0,06799 0,09373

24 1,03410 1,03455 1,033107 1,03392 -0,01751 -0,06103 0,07854

25 1,02660 1,02716 1,025974 1,02658 -0,00214 -0,05669 0,05884

26 1,01930 1,01986 1,018943 1,01937 0,00664 -0,04830 0,04166

27 1,01200 1,01266 1,012018 1,01223 0,02233 -0,04288 0,02055

28 1,00480 1,00555 1,005196 1,00518 0,03800 -0,03661 -0,00139

29 0,99772 0,99852 0,9984674 0,99824 0,05167 -0,02847 -0,02320

30 0,99070 0,99158 0,9918446 0,99137 0,06807 -0,02069 -0,04738

31 0,98375 0,98471 0,9853126 0,98459 0,08540 -0,01210 -0,07330

32 0,97688 0,97793 0,9788755 0,97790 0,10381 -0,00356 -0,10025

33 0,97008 0,97123 0,9725304 0,97128 0,12356 0,00516 -0,12872

34 0,96335 0,96461 0,9662786 0,96475 0,14472 0,01412 -0,15884

35 0,95671 0,95807 0,9601139 0,95830 0,16571 0,02379 -0,18950

36 0,95016 0,95160 0,954044 0,95193 0,18643 0,03516 -0,22158

37 0,94369 0,94521 0,9480572 0,94565 0,20752 0,04678 -0,25430

38 0,93728 0,93891 0,9421619 0,93945 0,23105 0,05755 -0,28860

39 0,93095 0,93268 0,9363517 0,93333 0,25471 0,06935 -0,32405

40 0,92469 0,92653 0,9306318 0,92728 0,27973 0,08131 -0,36104

41 0,91850 0,92046 0,9249948 0,92132 0,30590 0,09316 -0,39905

42 0,91239 0,91447 0,919446 0,91544 0,33267 0,10545 -0,43812

43 0,90636 0,90857 0,9139822 0,90964 0,36030 0,11734 -0,47764

Burnup (MWd/kg)


k∞ Dev.

CAS % Dev.

HEL % Dev.

NES %

44 0,90040 0,90275 0,9086075 0,90392 0,38932 0,12934 -0,51867

45 0,89451 0,89702 0,9033154 0,89828 0,41989 0,14047 -0,56036

46 0,88871 0,89137 0,8981097 0,89273 0,45029 0,15233 -0,60262

47 0,88300 0,88582 0,8929905 0,88727 0,48127 0,16344 -0,64471

48 0,87736 0,88035 0,8879565 0,88189 0,51354 0,17449 -0,68803

49 0,87181 0,87498 0,8830089 0,87660 0,54639 0,18476 -0,73115

50 0,86635 0,86970 0,8781468 0,87140 0,57941 0,19497 -0,77437

51 0,86097 0,86452 0,8733718 0,86629 0,61380 0,20400 -0,81780

52 0,85569 0,85943 0,8686842 0,86127 0,64766 0,21341 -0,86107

53 0,85050 0,85444 0,8640819 0,85634 0,68205 0,22195 -0,90399

54 0,84541 0,84955 0,8595644 0,85151 0,71616 0,22996 -0,94612

55 0,84042 0,84475 0,8551354 0,84677 0,74973 0,23837 -0,98810

56 0,83552 0,84006 0,8507913 0,84212 0,78418 0,24507 -1,02925

57 0,83073 0,83546 0,8465346 0,83757 0,81722 0,25250 -1,06972

58 0,82603 0,83098 0,8423635 0,83312 0,85155 0,25740 -1,10896

59 0,82144 0,82658 0,8382798 0,82877 0,88404 0,26384 -1,14787

60 0,81695 0,82230 0,8342822 0,82451 0,91700 0,26813 -1,18512

61 0,81257 0,81812 0,8303687 0,82035 0,94873 0,27219 -1,22091

0 10 20 30 400,75

0,80

0,85

0,90

0,95

1,00


Mu

ltip

licati

on

facto

r K

∞∞ ∞∞


a) FA 13

0 10 20 30 400,80

0,85

0,90

0,95

1,00

1,05

1,10

1,15

1,20


Mu

ltip

licati

on

facto

r K

∞∞ ∞∞


b) FA 22


Standard 0,43 0,22 0,65 Max. 1,11 0,51 0,47 Min. -0,20 -0,32 -1,62


Standard 0,36 0,16 0,51 Max 0,87 0,31 0,49 Min -0,29 -0,26 -1,17

Fig. 22: Multiplication factor k∞ vs. burnup for the FA 390GO (a) and FA 398GO (b)

Tab. 17: Multiplication factor k∞ vs. burnup for the FA 390GO

Burnup (MWd/kg)


k∞ Dev.

CAS % Dev.

HEL % Dev.

NES %

0,00 1,24590 1,24420 1,238937 1,24301 -0,23231 -0,09555 0,32786

1,00 1,19450 1,19343 1,187822 1,19192 -0,21668 -0,12691 0,34359

2,00 1,18860 1,18865 1,18229 1,18651 -0,17587 -0,18008 0,35594

3,00 1,18260 1,18351 1,17672 1,18094 -0,14028 -0,21734 0,35762

4,00 1,17680 1,17799 1,171025 1,17527 -0,13004 -0,23129 0,36133

5,00 1,17220 1,17248 1,165442 1,17004 -0,18455 -0,20848 0,39303

6,00 1,16860 1,16720 1,1601 1,16530 -0,28319 -0,16305 0,44624

Burnup (MWd/kg)


k∞ Dev.

CAS % Dev.

HEL % Dev.

NES %

7,00 1,16530 1,16233 1,155119 1,16092 -0,37760 -0,12177 0,49938

8,00 1,16190 1,15792 1,150613 1,15681 -0,43992 -0,09587 0,53578

9,00 1,15780 1,15343 1,146304 1,15251 -0,45888 -0,07971 0,53859

10,00 1,15150 1,14796 1,141353 1,14694 -0,39778 -0,08914 0,48692

11,00 1,14330 1,14119 1,135354 1,13995 -0,29405 -0,10895 0,40300

12,00 1,13430 1,13319 1,128173 1,13189 -0,21312 -0,11506 0,32818

13,00 1,12520 1,12454 1,120149 1,12330 -0,16947 -0,11072 0,28019

14,00 1,11620 1,11574 1,111803 1,11458 -0,14526 -0,10399 0,24924

15,00 1,10730 1,10701 1,103436 1,10592 -0,12521 -0,09898 0,22419

16,00 1,09870 1,09842 1,09516 1,09743 -0,11603 -0,09051 0,20654

17,00 1,09020 1,09000 1,087016 1,08907 -0,10357 -0,08521 0,18878

18,00 1,08190 1,08174 1,079009 1,08088 -0,09409 -0,07929 0,17338

19,00 1,07370 1,07363 1,071136 1,07282 -0,08184 -0,07532 0,15716

20,00 1,06570 1,06566 1,06339 1,06492 -0,07356 -0,06980 0,14336

21,00 1,05780 1,05781 1,055768 1,05713 -0,06376 -0,06470 0,12846

22,00 1,05000 1,05009 1,04827 1,04945 -0,05209 -0,06067 0,11276

23,00 1,04230 1,04248 1,040885 1,04189 -0,03951 -0,05679 0,09630

24,00 1,03470 1,03498 1,033616 1,03443 -0,02591 -0,05298 0,07888

25,00 1,02720 1,02758 1,026456 1,02708 -0,01181 -0,04881 0,06063

26,00 1,01990 1,02028 1,019405 1,01986 -0,00376 -0,04102 0,04478

27,00 1,01260 1,01306 1,012455 1,01271 0,01037 -0,03505 0,02469

28,00 1,00540 1,00594 1,005608 1,00565 0,02479 -0,02890 0,00411

29,00 0,99827 0,99891 0,9988635 0,99868 0,04117 -0,02291 -0,01826

30,00 0,99124 0,99195 0,9922135 0,99180 0,05658 -0,01501 -0,04157

31,00 0,98428 0,98508 0,9856606 0,98501 0,07379 -0,00742 -0,06637

32,00 0,97739 0,97829 0,9791977 0,97829 0,09226 0,00026 -0,09252

33,00 0,97057 0,97159 0,9728337 0,97166 0,11265 0,00767 -0,12032

34,00 0,96383 0,96496 0,9665583 0,96512 0,13326 0,01617 -0,14943

35,00 0,95717 0,95841 0,9603736 0,95865 0,15451 0,02516 -0,17967

36,00 0,95061 0,95194 0,9542795 0,95228 0,17500 0,03534 -0,21034

37,00 0,94412 0,94555 0,9482744 0,94598 0,19678 0,04561 -0,24239

38,00 0,93770 0,93923 0,9423558 0,93976 0,21941 0,05660 -0,27601

39,00 0,93135 0,93300 0,9365286 0,93363 0,24380 0,06707 -0,31087

40,00 0,92507 0,92685 0,9307851 0,92757 0,26935 0,07745 -0,34679

41,00 0,91888 0,92077 0,9251305 0,92159 0,29444 0,08936 -0,38379

Burnup (MWd/kg)


k∞ Dev.

CAS % Dev.

HEL % Dev.

NES %

42,00 0,91275 0,91478 0,9195638 0,91570 0,32193 0,10024 -0,42218

43,00 0,90670 0,90887 0,9140797 0,90988 0,34985 0,11136 -0,46121

44,00 0,90073 0,90305 0,9086835 0,90415 0,37875 0,12216 -0,50091

45,00 0,89483 0,89731 0,9033781 0,89851 0,40913 0,13311 -0,54224

46,00 0,88902 0,89167 0,8981547 0,89295 0,43992 0,14315 -0,58306

47,00 0,88329 0,88612 0,8930186 0,88748 0,47170 0,15282 -0,62451

48,00 0,87764 0,88065 0,887967 0,88209 0,50399 0,16276 -0,66675

49,00 0,87208 0,87528 0,8830048 0,87679 0,53699 0,17202 -0,70901

50,00 0,86661 0,86999 0,8781281 0,87158 0,56978 0,18197 -0,75175

51,00 0,86122 0,86481 0,8733386 0,86646 0,60432 0,18999 -0,79432

52,00 0,85593 0,85972 0,8686354 0,86143 0,63830 0,19833 -0,83663

53,00 0,85073 0,85473 0,8640212 0,85649 0,67295 0,20592 -0,87887

54,00 0,84563 0,84983 0,8594918 0,85165 0,70693 0,21377 -0,92071

55,00 0,84063 0,84504 0,8550496 0,84691 0,74111 0,22039 -0,96151

56,00 0,83573 0,84035 0,8506945 0,84226 0,77508 0,22655 -1,00163

57,00 0,83092 0,83576 0,8464264 0,83770 0,80961 0,23184 -1,04145

58,00 0,82622 0,83127 0,842246 0,83325 0,84313 0,23707 -1,08019

59,00 0,82163 0,82689 0,8381529 0,82889 0,87599 0,24140 -1,11739

60,00 0,81713 0,82261 0,8341479 0,82463 0,90941 0,24487 -1,15429

61,00 0,81275 0,81843 0,8302277 0,82047 0,94083 0,24854 -1,18938 Tab. 18: Multiplication factor k∞ vs. burnup for the FA 398GO

Burnup (MWd/kg)


k∞ Dev.

CAS % Dev.

HEL % Dev.

NES %

0 1,25120 1,24935 1,244223 1,24826 -0,23572 -0,08751 0,32322

1 1,19960 1,19846 1,192906 1,19699 -0,21816 -0,12292 0,34108

2 1,19370 1,19362 1,187308 1,19154 -0,18105 -0,17434 0,35539

3 1,18770 1,18847 1,181711 1,18596 -0,14669 -0,21161 0,35830

4 1,18190 1,18296 1,175993 1,18028 -0,13689 -0,22670 0,36358

5 1,17720 1,17745 1,170385 1,17501 -0,18624 -0,20752 0,39375

6 1,17360 1,17216 1,165015 1,17026 -0,28555 -0,16250 0,44805

7 1,17020 1,16727 1,159988 1,16582 -0,37576 -0,12443 0,50019

8 1,16680 1,16283 1,155425 1,16169 -0,44031 -0,09856 0,53887

9 1,16280 1,15837 1,151109 1,15743 -0,46428 -0,08153 0,54581

Burnup (MWd/kg)


k∞ Dev.

CAS % Dev.

HEL % Dev.

NES %

10 1,15660 1,15299 1,146228 1,15194 -0,40459 -0,09121 0,49580

11 1,14860 1,14634 1,140343 1,14509 -0,30615 -0,10878 0,41493

12 1,13970 1,13846 1,133302 1,13715 -0,22389 -0,11485 0,33874

13 1,13060 1,12988 1,125384 1,12862 -0,17532 -0,11152 0,28684

14 1,12160 1,12112 1,117097 1,11994 -0,14831 -0,10545 0,25376

15 1,11280 1,11242 1,108768 1,11133 -0,13233 -0,09814 0,23047

16 1,10410 1,10384 1,100517 1,10282 -0,11616 -0,09258 0,20874

17 1,09570 1,09545 1,092394 1,09451 -0,10830 -0,08546 0,19375

18 1,08740 1,08720 1,084401 1,08633 -0,09816 -0,07975 0,17791

19 1,07920 1,07910 1,076536 1,07828 -0,08544 -0,07617 0,16162

20 1,07120 1,07114 1,068803 1,07038 -0,07651 -0,07091 0,14742

21 1,06330 1,06331 1,061189 1,06260 -0,06591 -0,06685 0,13276

22 1,05550 1,05559 1,053701 1,05493 -0,05400 -0,06253 0,11653

23 1,04780 1,04799 1,04632 1,04737 -0,04106 -0,05920 0,10025

24 1,04030 1,04050 1,039053 1,03995 -0,03356 -0,05279 0,08635

25 1,03280 1,03311 1,031893 1,03260 -0,01927 -0,04929 0,06856

26 1,02540 1,02581 1,024837 1,02535 -0,00497 -0,04496 0,04993

27 1,01820 1,01860 1,017881 1,01823 0,00265 -0,03663 0,03398

28 1,01100 1,01148 1,011028 1,01117 0,01675 -0,03072 0,01398

29 1,00390 1,00444 1,004271 1,00420 0,03024 -0,02353 -0,00671

30 0,99685 0,99748 0,997609 0,99731 0,04643 -0,01674 -0,02969

31 0,98989 0,99061 0,991040 0,99051 0,06292 -0,00977 -0,05316

32 0,98300 0,98381 0,984563 0,98379 0,08041 -0,00193 -0,07848

33 0,97617 0,97709 0,978175 0,97715 0,09979 0,00564 -0,10542

34 0,96942 0,97045 0,971878 0,97058 0,11978 0,01366 -0,13345

35 0,96274 0,96389 0,965666 0,96410 0,14094 0,02166 -0,16260

36 0,95616 0,95740 0,959543 0,95770 0,16092 0,03144 -0,19236

37 0,94965 0,95098 0,953507 0,95138 0,18174 0,04194 -0,22368

38 0,94321 0,94465 0,947555 0,94514 0,20404 0,05168 -0,25572

39 0,93684 0,93839 0,941690 0,93897 0,22719 0,06212 -0,28931

40 0,93053 0,93220 0,935908 0,93288 0,25185 0,07283 -0,32468

41 0,92430 0,92609 0,930211 0,92687 0,27696 0,08384 -0,36080

42 0,91814 0,92007 0,924599 0,92094 0,30363 0,09406 -0,39770

43 0,91206 0,91411 0,919068 0,91508 0,32994 0,10592 -0,43586

44 0,90604 0,90825 0,913621 0,90930 0,35893 0,11589 -0,47482

Burnup (MWd/kg)


k∞ Dev.

CAS % Dev.

HEL % Dev.

NES %

45 0,90011 0,90247 0,908259 0,90361 0,38767 0,12650 -0,51417

46 0,89425 0,89677 0,902982 0,89800 0,41765 0,13703 -0,55468

47 0,88846 0,89116 0,897787 0,89247 0,44919 0,14666 -0,59585

48 0,88276 0,88564 0,892674 0,88702 0,48080 0,15612 -0,63692

49 0,87714 0,88020 0,887647 0,88166 0,51292 0,16585 -0,67877

50 0,87160 0,87486 0,882704 0,87639 0,54632 0,17434 -0,72066

51 0,86615 0,86961 0,877845 0,87120 0,57985 0,18269 -0,76254

52 0,86079 0,86444 0,873069 0,86610 0,61305 0,19162 -0,80467

53 0,85552 0,85938 0,868380 0,86109 0,64723 0,19896 -0,84619

54 0,85034 0,85440 0,863775 0,85617 0,68114 0,20694 -0,88808

55 0,84526 0,84954 0,859253 0,85135 0,71546 0,21273 -0,92819

56 0,84027 0,84476 0,854819 0,84662 0,74960 0,21926 -0,96886

57 0,83538 0,84009 0,850469 0,84198 0,78383 0,22444 -1,00827

58 0,83059 0,83551 0,846204 0,83743 0,81735 0,22984 -1,04720

59 0,82590 0,83104 0,842026 0,83299 0,85098 0,23392 -1,08490

60 0,82132 0,82666 0,837931 0,82864 0,88302 0,23858 -1,12160

61 0,81683 0,82240 0,833921 0,82438 0,91627 0,24061 -1,15688

0 10 20 30 40 50 600,80

0,85

0,90

0,95

1,00

1,05

1,10

1,15

1,20

1,25


Mu

ltip

licati

on

facto

r K

∞∞ ∞∞


a) FA 430GO

0 10 20 30 40 50 600,80

0,85

0,90

0,95

1,00

1,05

1,10

1,15

1,20

1,25

1,30


Mu

ltip

licati

on

facto

r K

∞∞ ∞∞


b) FA 439GT


Standard 0,29 0,19 0,42 Max 0,48 0,41 0,53 Min -0,65 -0,23 -0,88


Standard 0,32 0,13 0,44 Max 0,79 0,21 0,50 Min -0,37 -0,26 -1,00

Fig. 23: Multiplication factor k∞ vs. burnup for the FA 430GO (a) and FA 439GT (b)

Tab. 19: Multiplication factor k∞ vs. burnup for the FA 430GO

Burnup (MWd/kg)


k∞ Dev.

CAS % Dev.

HEL % Dev.

NES %

0 1,26990 1,26798 1,262743 1,26687 -0,23883 -0,08728 0,32610

1 1,21780 1,21654 1,21076 1,21503 -0,22770 -0,12400 0,35171

2 1,21150 1,21119 1,20473 1,20914 -0,19518 -0,16954 0,36472

3 1,20510 1,20572 1,198818 1,20321 -0,15686 -0,20839 0,36524

4 1,19880 1,19991 1,192793 1,19717 -0,13635 -0,22907 0,36542

5 1,19330 1,19404 1,18684 1,19139 -0,16004 -0,22215 0,38219

6 1,18880 1,18832 1,181071 1,18606 -0,23071 -0,19024 0,42094

Burnup (MWd/kg)


k∞ Dev.

CAS % Dev.

HEL % Dev.

NES %

7 1,18480 1,18286 1,175566 1,18108 -0,31536 -0,15111 0,46647

8 1,18080 1,17780 1,170409 1,17634 -0,37945 -0,12443 0,50388

9 1,17670 1,17305 1,165626 1,17179 -0,41885 -0,10736 0,52620

10 1,17170 1,16801 1,160865 1,16686 -0,41493 -0,09870 0,51363

11 1,16510 1,16212 1,155523 1,16091 -0,36055 -0,10385 0,46440

12 1,15710 1,15525 1,149372 1,15391 -0,27668 -0,11636 0,39304

13 1,14840 1,14746 1,142335 1,14607 -0,20374 -0,12172 0,32546

14 1,14410 1,13915 1,134629 1,13929 -0,42193 0,01255 0,40938

15 1,13970 1,13071 1,126626 1,13235 -0,64951 0,14442 0,50509

16 1,13100 1,12231 1,118575 1,12396 -0,62621 0,14695 0,47926

17 1,12250 1,11402 1,110584 1,11570 -0,60936 0,15070 0,45867

18 1,11410 1,10588 1,1027 1,10756 -0,59049 0,15168 0,43880

19 1,10590 1,09788 1,094933 1,09957 -0,57559 0,15379 0,42180

20 1,09780 1,09001 1,087285 1,09170 -0,55892 0,15465 0,40426

21 1,08990 1,08226 1,079753 1,08397 -0,54697 0,15785 0,38912

22 1,08200 1,07463 1,072331 1,07632 -0,52769 0,15705 0,37065

23 1,07440 1,06711 1,065013 1,06884 -0,52010 0,16195 0,35814

24 1,06680 1,05969 1,057804 1,06143 -0,50580 0,16406 0,34174

25 1,05930 1,05237 1,050693 1,05412 -0,49131 0,16611 0,32520

26 1,05190 1,04513 1,043681 1,04690 -0,47725 0,16942 0,30783

27 1,04460 1,03799 1,036761 1,03978 -0,46321 0,17250 0,29070

28 1,03740 1,03092 1,029932 1,03275 -0,45019 0,17726 0,27293

29 1,03030 1,02393 1,023191 1,02581 -0,43800 0,18298 0,25502

30 1,02330 1,01701 1,01654 1,01895 -0,42691 0,19039 0,23652

31 1,01630 1,01017 1,009972 1,01215 -0,41028 0,19536 0,21492

32 1,00940 1,00339 1,003486 1,00543 -0,39532 0,20244 0,19289

33 1,00260 0,99668 0,997083 0,99879 -0,38168 0,21104 0,17065

34 0,99576 0,99005 0,990760 0,99219 -0,35980 0,21569 0,14411

35 0,98904 0,98348 0,984518 0,98568 -0,34096 0,22312 0,11784

36 0,98238 0,97698 0,978349 0,97924 -0,32102 0,23043 0,09059

37 0,97579 0,97055 0,97226 0,97287 -0,30049 0,23813 0,06236

38 0,96927 0,96418 0,966245 0,96657 -0,27984 0,24676 0,03308

39 0,96281 0,95787 0,960310 0,96033 -0,25825 0,25616 0,00209

40 0,95641 0,95164 0,954445 0,95417 -0,23527 0,26464 -0,02937

41 0,95008 0,94546 0,948656 0,94807 -0,21249 0,27482 -0,06232

Burnup (MWd/kg)


k∞ Dev.

CAS % Dev.

HEL % Dev.

NES %

42 0,94380 0,93936 0,942943 0,94203 -0,18744 0,28388 -0,09644

43 0,93759 0,93333 0,937299 0,93607 -0,16205 0,29304 -0,13099

44 0,93144 0,92736 0,931733 0,93018 -0,13572 0,30290 -0,16718

45 0,92535 0,92146 0,926235 0,92435 -0,10836 0,31248 -0,20411

46 0,91932 0,91563 0,920814 0,91859 -0,07968 0,32202 -0,24234

47 0,91336 0,90988 0,915466 0,91290 -0,05016 0,33104 -0,28088

48 0,90746 0,90421 0,910190 0,90729 -0,01911 0,33910 -0,31999

49 0,90163 0,89861 0,904988 0,90174 0,01251 0,34741 -0,35992

50 0,89588 0,89309 0,899860 0,89628 0,04424 0,35553 -0,39977

51 0,89019 0,88764 0,894805 0,89088 0,07728 0,36351 -0,44079

52 0,88457 0,88228 0,889825 0,88556 0,11161 0,37020 -0,48181

53 0,87903 0,87700 0,884919 0,88032 0,14612 0,37672 -0,52283

54 0,87357 0,87179 0,880087 0,87515 0,18044 0,38383 -0,56427

55 0,86818 0,86669 0,875332 0,87007 0,21690 0,38815 -0,60505

56 0,86287 0,86165 0,870653 0,86506 0,25290 0,39393 -0,64683

57 0,85764 0,85671 0,866048 0,86013 0,28981 0,39793 -0,68774

58 0,85250 0,85186 0,861522 0,85529 0,32669 0,40151 -0,72820

59 0,84744 0,84710 0,857071 0,85054 0,36414 0,40411 -0,76825

60 0,84247 0,84243 0,852701 0,84587 0,40159 0,40632 -0,80791

61 0,83759 0,83785 0,848404 0,84128 0,43879 0,40788 -0,84667

62 0,83281 0,83336 0,844188 0,83679 0,47515 0,40942 -0,88457 Tab. 20: Multiplication factor k∞ vs. burnup for the FA 439GT

Burnup (MWd/kg)


k∞ Dev.

CAS % Dev.

HEL % Dev.

NES %

0 1,27650 1,27507 1,266281 1,27262 -0,30512 -0,19275 0,49787

1 1,22420 1,22332 1,214661 1,22073 -0,28450 -0,21241 0,49692

2 1,21770 1,21762 1,208838 1,21472 -0,24538 -0,23879 0,48417

3 1,21110 1,21184 1,203151 1,20870 -0,19881 -0,26003 0,45884

4 1,20450 1,20566 1,197307 1,20249 -0,16724 -0,26370 0,43094

5 1,19840 1,19935 1,191488 1,19641 -0,16611 -0,24551 0,41162

6 1,19310 1,19310 1,185787 1,19066 -0,20473 -0,20473 0,40946

7 1,18840 1,18704 1,180266 1,18524 -0,26701 -0,15226 0,41927

8 1,18380 1,18126 1,174999 1,18002 -0,32036 -0,10511 0,42547

Burnup (MWd/kg)


k∞ Dev.

CAS % Dev.

HEL % Dev.

NES %

9 1,17910 1,17580 1,170018 1,17497 -0,35127 -0,07041 0,42168

10 1,17420 1,17045 1,165072 1,16991 -0,36692 -0,04639 0,41331

11 1,16830 1,16472 1,159637 1,16422 -0,35054 -0,04303 0,39357

12 1,16110 1,15832 1,153511 1,15764 -0,29857 -0,05842 0,35699

13 1,15290 1,15121 1,146649 1,15025 -0,23012 -0,08320 0,31332

14 1,14440 1,14345 1,139148 1,14233 -0,18097 -0,09781 0,27879

15 1,13580 1,13532 1,131292 1,13414 -0,14660 -0,10428 0,25088

16 1,12740 1,12708 1,123332 1,12594 -0,12991 -0,10149 0,23139

17 1,11900 1,11888 1,115397 1,11776 -0,11103 -0,10029 0,21132

18 1,11080 1,11078 1,107545 1,10971 -0,09837 -0,09657 0,19495

19 1,10280 1,10281 1,099807 1,10181 -0,09025 -0,09115 0,18140

20 1,09490 1,09496 1,092175 1,09401 -0,08120 -0,08668 0,16788

21 1,08710 1,08723 1,084661 1,08633 -0,07085 -0,08282 0,15367

22 1,07940 1,07962 1,077254 1,07876 -0,05951 -0,07991 0,13942

23 1,07180 1,07212 1,069951 1,07129 -0,04758 -0,07745 0,12502

24 1,06440 1,06472 1,062751 1,06396 -0,04164 -0,07171 0,11335

25 1,05700 1,05741 1,055649 1,05669 -0,02968 -0,06848 0,09817

26 1,04970 1,05019 1,048641 1,04951 -0,01807 -0,06476 0,08283

27 1,04250 1,04305 1,041725 1,04243 -0,00719 -0,05996 0,06715

28 1,03540 1,03600 1,034898 1,03543 0,00315 -0,05479 0,05164

29 1,02840 1,02902 1,028163 1,02853 0,01241 -0,04787 0,03546

30 1,02140 1,02211 1,02151 1,02167 0,02675 -0,04274 0,01599

31 1,01450 1,01527 1,014939 1,01490 0,03971 -0,03616 -0,00355

32 1,00770 1,00850 1,008451 1,00822 0,05128 -0,02807 -0,02321

33 1,00090 1,00180 1,002042 1,00158 0,06796 -0,02190 -0,04606

34 0,99423 0,99517 0,995711 0,99504 0,08109 -0,01338 -0,06771

35 0,98757 0,98860 0,989456 0,98854 0,09831 -0,00588 -0,09243

36 0,98098 0,98210 0,983277 0,98212 0,11598 0,00194 -0,11793

37 0,97445 0,97566 0,977175 0,97576 0,13444 0,01043 -0,14487

38 0,96798 0,96928 0,971146 0,96947 0,15354 0,01945 -0,17300

39 0,96158 0,96297 0,965189 0,96325 0,17300 0,02869 -0,20169

40 0,95523 0,95672 0,959303 0,95708 0,19376 0,03808 -0,23184

41 0,94895 0,95054 0,953492 0,95099 0,21494 0,04775 -0,26269

42 0,94272 0,94442 0,947750 0,94496 0,23741 0,05750 -0,29491

43 0,93656 0,93836 0,942081 0,93900 0,25987 0,06818 -0,32805

Burnup (MWd/kg)


k∞ Dev.

CAS % Dev.

HEL % Dev.

NES %

44 0,93044 0,93237 0,936479 0,93310 0,28469 0,07786 -0,36255

45 0,92439 0,92645 0,930955 0,92727 0,31006 0,08790 -0,39795

46 0,91841 0,92060 0,925499 0,92150 0,33564 0,09798 -0,43362

47 0,91249 0,91482 0,920110 0,91581 0,36217 0,10775 -0,46992

48 0,90663 0,90911 0,914798 0,91018 0,38998 0,11750 -0,50748

49 0,90084 0,90348 0,909553 0,90462 0,41832 0,12649 -0,54482

50 0,89512 0,89792 0,904379 0,89914 0,44706 0,13565 -0,58271

51 0,88946 0,89243 0,899278 0,89372 0,47695 0,14463 -0,62157

52 0,88388 0,88702 0,894247 0,88838 0,50680 0,15335 -0,66015

53 0,87837 0,88169 0,889291 0,88312 0,53753 0,16159 -0,69911

54 0,87293 0,87644 0,884406 0,87793 0,56899 0,16918 -0,73817

55 0,86757 0,87127 0,879594 0,87281 0,60053 0,17661 -0,77714

56 0,86229 0,86618 0,874858 0,86778 0,63220 0,18393 -0,81613

57 0,85709 0,86118 0,870192 0,86282 0,66416 0,19013 -0,85429

58 0,85197 0,85627 0,865602 0,85795 0,69672 0,19552 -0,89224

59 0,84693 0,85144 0,861087 0,85315 0,72934 0,20071 -0,93006

60 0,84198 0,84670 0,856648 0,84844 0,76171 0,20540 -0,96711

61 0,83712 0,84205 0,852285 0,84382 0,79381 0,20956 -1,00338

8.4 Appendix 4: Preliminary results for the benchmark task 2

0 25 50 75 100 125 150 175 200 225 250 275 300 325

0

1

2

3

4

5

6

7

Measured data Calculation BIPR DYN3D + Helios DYN3D + Nessel TRAPEZ + NESSEL

Bo

ron

co

ncen

trati

on

[g

/kg

]

Effective Full Power Days

Fig. 24: Boron concentration for the 1st cycle

0 25 50 75 100 125 150 175 200 225 250 275 300

0

1

2

3

4

5

6

7

8

Measured data Calculation DYN3D + Helios DYN3D + Nessel TRAPEZ + NESSEL

Bo

ron

co

ncen

trati

on

[g

/kg

]


Fig. 25: Boron concentration for the 2

nd cycle

0 50 100 150 200 250 300

0

1

2

3

4

5

6

7

8

9

Measured data Calculation DYN3D + Helios TRAPEZ + Nessel

Bo

ron

co

ncen

trati

on

[g

/kg

]


Fig. 26: Boron concentration for the 3rd cycle

0 50 100 150 200 250 300

0

1

2

3

4

5

6

7

8

9

Measured data BIPR Calculation DYN3D + Helios TRAPEZ + Nessel DYN3D + CASMO

Bo

ron

co

ncen

trati

on

[g

/kg

]


Fig. 27: Boron concentration for the 4th cycle