Perhitungan hidrologi kolmogorof
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Metode Gumbel No. Tahun Debit (Q) 1 1975 25.90 -90.110 8119.754 15.10 2 1976 22.90 -93.110 8669.412 15.10 3 1977 41.10 -74.910 5611.460 17.50 4 1978 63.30 -52.710 2778.310 22.20 5 1979 33.40 -82.610 6824.359 22.90 6 1980 168.80 52.790 2786.818 25.90 7 1981 141.50 25.490 649.757 26.70 8 1982 186.20 70.190 4926.681 28.00 9 1983 15.10 -100.910 10182.763 33.40 10 1984 45.70 -70.310 4943.451 35.70 11 1985 67.50 -48.510 2353.189 36.90 12 1986 136.50 20.490 419.853 41.10 13 1987 36.90 -79.110 6258.341 41.40 14 1988 46.10 -69.910 4887.363 43.90 15 1989 35.70 -80.310 6449.644 45.70 16 1990 26.70 -89.310 7976.218 46.10 17 1991 28.00 -88.010 7745.703 52.80 18 1992 15.10 -100.910 10182.763 63.30 19 1993 22.20 -93.810 8800.256 67.50 20 1994 17.50 -98.510 9704.157 70.10 21 1995 70.10 -45.910 2107.698 96.20 22 1996 52.80 -63.210 3995.463 136.50 23 1997 313.20 197.190 38884.023 141.50 24 1998 41.40 -74.610 5566.604 168.80 25 1999 235.90 119.890 14373.689 184.40 26 2000 96.20 -19.810 392.423 186.20 27 2001 184.40 68.390 4677.236 235.90 28 2002 43.90 -72.110 5199.806 313.20 29 2003 519.50 403.490 162804.440 382.40 30 2004 480.40 364.390 132780.307 480.40 31 2005 382.40 266.390 70963.804 519.50 Jumlah 3596.300 562015.747 Rerata 116.010 Standart Deviasi 136.872 Sumber: Hasil Perhitungan n = 31 Dari tabel hubungan Yn dan Sn Gumbel di daat!an " Yn = 0.537 Sn = 1.116 Q - Q rerata (Q - Q rerata ) 2
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Perhitungan hidrologi kolmogorof
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SOAL 1 AMetode GumbelNo.TahunDebit (Q)Q - Qrerata(Q - Qrerata)21197525.90-90.1108119.75415.102197622.90-93.1108669.41215.103197741.10-74.9105611.46017.504197863.30-52.7102778.31022.205197933.40-82.6106824.35922.9061980168.8052.7902786.81825.9071981141.5025.490649.75726.7081982186.2070.1904926.68128.009198315.10-100.91010182.76333.4010198445.70-70.3104943.45135.7011198567.50-48.5102353.18936.90121986136.5020.490419.85341.1013198736.90-79.1106258.34141.4014198846.10-69.9104887.36343.9015198935.70-80.3106449.64445.7016199026.70-89.3107976.21846.1017199128.00-88.0107745.70352.8018199215.10-100.91010182.76363.3019199322.20-93.8108800.25667.5020199417.50-98.5109704.15770.1021199570.10-45.9102107.69896.2022199652.80-63.2103995.463136.50231997313.20197.19038884.023141.5024199841.40-74.6105566.604168.80251999235.90119.89014373.689184.4026200096.20-19.810392.423186.20272001184.4068.3904677.236235.9028200243.90-72.1105199.806313.20292003519.50403.490162804.440382.40302004480.40364.390132780.307480.40312005382.40266.39070963.804519.50Jumlah3596.300562015.747Rerata116.010Standart Deviasi136.872Sumber: Hasil Perhitungann = 31Dari tabel hubungan Yn dan Sn Gumbel di dapatkan :Yn =0.537Sn =1.116Debit Rancangan Kala Ulang 2, 5, 10, 25, 50, 100, 200, 1000TrYTKSd . KQ rancangan(m3/dt)20.367-0.153-20.92495.08651.5000.863118.098234.108102.2501.535210.142326.152253.1992.385326.441442.450503.9023.015412.717528.7271004.6003.641498.357614.3672005.2964.264583.684699.69410006.9075.709781.337897.347Rerata479.741Sumber: Hasil Perhitungan
SOAL 1 BTabel 1.3 Metode Log Pearson IIINo.TahunDebit (Q)Log Q(Log Q - Log Qrerata)2(Log Q - Log Qrerata)31197525.901.4130.168-0.0692197622.901.3600.215-0.0993197741.101.6140.044-0.0094197863.301.8010.000-0.0005197933.401.5240.090-0.02761980168.802.2270.1630.06671981141.502.1510.1070.03581982186.202.2700.2000.0899198315.101.1790.415-0.26710198445.701.6600.027-0.00411198567.501.8290.0000.000121986136.502.1350.0970.03013198736.901.5670.066-0.01714198846.101.6640.025-0.00415198935.701.5530.073-0.02016199026.701.4270.157-0.06217199128.001.4470.141-0.05318199215.101.1790.415-0.26719199322.201.3460.227-0.10820199417.501.2430.336-0.19521199570.101.8460.0010.00022199652.801.7230.010-0.001231997313.202.4960.4530.30524199841.401.6170.042-0.009251999235.902.3730.3020.16626200096.201.9830.0260.004272001184.402.2660.1960.08728200243.901.6420.033-0.006292003519.502.7160.7970.711302004480.402.6820.7370.633312005382.402.5830.5770.438Jumlah56.5146.1391.347Rerata1.823Standart Deviasi0.452Cs0.518Sumber: Hasil Perhitungann =31Q rerata =1.823Sd =0.452Debit Rancangan dengan Kala Ulang 2, 5, 10, 25, 50, 100, 200, 1000TrPr (%)KK . SdQ rancangan(m3/dt)Interpolasi2500.0490.02270.0005020104210.50.15200.8080.366154.3950.6000.0790.8001.3281.9392.3592.7553.1323.96010101.3240.599264.2080.7000.1160.7901.3331.9672.4072.8243.2234.1002541.9160.867489.6090.5180.0490.8081.3241.9162.3202.6993.0583.8465022.3201.049745.51810012.6991.2211106.2162000.53.0581.3831607.89110000.13.8461.7403653.582Rerata1011.43Sumber: Hasil Perhitungan
LAMPIRANLampiran 1Faktor Frekuensi untuk Distribusi Log Pearson Type IIIKoefisien Asimetri, Cs NegatipT (th)1.01011.05261.11111.2525102025501002001000Cs:P(%)9995908050201054210.50.10-2.326-1.645-1.202-0.8420.0000.8421.2821.5951.7512.0542.3262.5763.090-0.1-2.400-1.673-1.292-0.3360.0170.8461.2701.5671.7162.0002.2522.4822.950-0.2-2.472-1.700-1.301-0.8300.0330.8501.2581.5391.6801.9452.1782.3082.810-0.3-2.544-1.726-1.309-0.8240.0500.8531.2451.5101.6431.8902.1042.2912.670-0.4-2.615-1.750-1.317-0.8160.0660.8551.2311.4811.6061.8342.0292.2012.530-0.5-2.606-1.774-1.323-0.8080.0830.8561.2161.4501.5671.7771.9552.1082.400-0.6-2.755-1.797-1.320-0.8800.0990.8571.2001.4191.5281.7201.8802.0162.270-0.7-2.824-1.019-1.333-0.7900.1160.8571.1831.3861.4881.6631.8061.9262.140-0.8-2.021-1.039-1.336-0.7800.1320.8561.1661.3541.4481.6061.7331.8372.020-0.9-2.057-1.050-1.339-0.7690.1400.8541.1471.3201.4071.5491.6601.7491.900-1.0-3.022-1.077-1.340-0.7580.1640.8521.1701.3011.3661.4921.5081.6641.790Faktor Frekuensi untuk Distribusi Log Pearson Type IIIKoefisien Asimetri, Cs PositipT (th)1.01011.05261.11111.2525102025501002001000Cs:P(%)9995908050201054210.50.10.0-2.326-1.645-1.282-0.8420.0000.8421.2821.5951.7512.0452.3762.5763.0900.1-2.252-1.616-1.270-0.0850.0170.8361.2971.6221.7852.1072.4002.6703.2300.2-2.170-1.538-1.258-0.8500.0330.8301.3011.6461.8182.1592.4722.7633.3800.3-2.130-1.555-1.245-0.8530.0500.8241.3091.6691.8492.2112.5442.8563.5200.4-2.029-1.524-1.231-0.8550.0660.8161.3171.6921.8802.2612.6152.9473.6700.5-1.955-1.491-1.216-0.8560.0830.8081.3231.7141.9102.3112.6063.0413.8100.6-1.880-1.458-1.200-0.8570.0790.8001.3281.7351.9392.3592.7553.1323.9600.7-1.806-1.423-1.183-0.8570.1160.7901.3331.7561.9672.4072.8243.2234.1000.8-1.733-1.388-1.166-0.8560.1320.7801.3361.7741.9932.4532.8913.3124.2400.9-1.660-1.353-1.147-0.8540.1480.7691.3391.7922.0182.4982.9573.4014.3901.0-1.588-1.317-1.128-0.8520.1640.7581.3401.8092.0432.5423.0223.4894.5301.1-1.518-1.280-1.107-0.0180.1800.7451.3411.8242.0662.5853.0873.5754.670Sumber : CD Soemarto, Hidrologi Teknik
