Analisis Hidrologi

1. DATA TERURUTTabel 2.7 Data TerurutNo.TahunXNo.TahunX(mm)(mm)12008761200875.7522001922200191.8032007933200792.7541992954199295.3351999955199995.3362005996200598.677199610171996101.408200310482003104.439199710591997105.00102006109102006109.17111990114111990113.50121991118121991117.67131995118131995117.75141994118141994118.00151998123151998123.00162000130162000130.33171989136171989136.00182002203182002203.00192004218192004218.00201993246201993246.33Jumlah2493.21Jumlah2493.21Rerata124.66Min75.75Max246.33

2.METODE GUMBEL TYPE ITabel Perhitungan Kurva Distribusi Gumbel Tipe INo.TahunX terurut(X i - X rerata)(X i - X rerata)2(X i - X rerata)3(X i - X rerata)41200875.75-48.91062392.2463-117006.19185722842.48692200191.80-32.86061079.8187-35483.48591166008.46683200792.75-31.91061018.2861-32494.11521036906.55794199295.33-29.3273860.0883-25224.0346739751.86805199995.33-29.3273860.0883-25224.0346739751.86806200598.67-25.9939675.6843-17563.6900456549.303871996101.40-23.2606541.0553-12585.2681292740.827782003104.43-20.2320409.3348-8281.6712167554.968291997105.00-19.6606386.5390-7599.5869149412.4025102006109.17-15.4939240.0618-3719.500757629.6787111990113.50-11.1606124.5589-1390.151315514.9161121991117.67-6.993948.9150-342.10832392.6808131995117.75-6.910647.7563-330.02462280.6667141994118.00-6.660644.3635-295.48751968.1227151998123.00-1.66062.7576-4.57927.6042162000130.335.672732.1800182.54851035.5497171989136.0011.3394128.58211458.044516533.3565182002203.0078.33946137.0623480773.810637663534.1460192004218.0093.33948712.2445813195.714075903203.9021201993246.33121.672714804.25521801274.2651219165971.8962Jumlah :2493.21-0.0038545.882809340.45343301591.27Perhitungan :n=20.0000X rerata=124.6606Sd=45.0414Sn=1.0628Yn=0.5236X =X =X =(Sd x YT) / Sn =42.3800YT(Sd x Yn) / Sn =22.1902X =102.4704X =Tabel 2.8 Nilai Ekstrim Distribusi Gumbel Tipe ITYTSdYnSnKX (mm)20.366545.04140.52361.0628-0.1478118.003251.499945.04140.52361.06280.9186166.0379102.250445.04140.52361.06281.6247197.8409202.970245.04140.52361.06282.3020228.3472253.198545.04140.52361.06282.5169238.0242503.901945.04140.52361.06283.1787267.83451004.600145.04140.52361.06283.8357297.4246

TABEL HUB. n, Yn dan SnTabel Hubungan Reduksi Jumlah Data (n), Data Rata-rata (Yn) dan Deviasi Standar (Sn)nYnSnnYnSnn =20100.49520.9496560.55081.1696Sn =1.0628110.49960.9676570.55111.1708Yn =0.5236120.50350.9833580.55151.1721130.50700.9971590.55181.1734140.51001.0095600.55211.1747150.51281.0206610.55241.1759160.51571.0316620.55271.1770170.51811.0411630.55301.1782180.52021.0493640.55331.1793190.52201.0565650.55351.1803200.52361.0628660.55381.1814210.52521.0696670.55401.1824220.52681.0754680.55431.1834230.52831.0811690.55451.1844240.52961.0864700.55481.1854250.53091.0915710.55501.1863260.53201.0961720.55521.1873270.53321.1004730.55551.1881280.53431.1047740.55571.1890290.53531.1086750.55591.1898300.53621.1124760.55611.1906310.53711.1159770.55631.1915320.53801.1193780.55651.1923330.53881.1226790.55671.1930340.53961.1255800.55691.1938350.54021.1285810.55701.1945360.54101.1313820.55721.1953370.54181.1339830.55741.1959380.54241.1363840.55761.1967390.54301.1388850.55781.1973400.54361.1413860.55801.1980410.54421.1436870.55811.1987420.54481.1458880.55831.1994430.54531.1480890.55851.2001440.54581.1499900.55861.2007450.54631.1519910.55871.2013460.54681.1538920.55891.2020470.54731.1557930.55911.2026480.54771.1574940.55921.2032490.54811.1590950.55931.2038500.54851.1607960.55951.2044510.54891.1623970.55961.2049520.54931.1638980.55981.2055530.54971.1658990.55991.2060540.55011.16671000.56001.2065550.55041.1681

3.UJI CHI GUMBELPembagian Kelas:Tabel Perhitungan Uji Chi-Kuadrat Untuk Distribusi Gumbel Tipe IN (Jumlah Data) =20No.TahunXK (Jumlah Kelas) =1 + 3,322 log N = 5.322 =5KelasNo.Nilai BatasJumlah Data(OF - EF)2(OF - EF)2 / EF(mm)Peluang batas kelas:Sub KelasOFEF1200875.75P=1 / kelas = 1 / 5 = 20 %1X 501,071,141,221,361,63N0,5N0,5N0,5N0,5N0,5

5.LOG NORMAL 2 PARAMETERTabel Perhitungan Kurva Distribusi Log-Normal Dua ParameterNo.XiLog Xi(Log Xi - rerata Log X)(Log Xi - rerata Log X)2(Log Xi - rerata Log X)3(Log Xi - rerata Log X)41761.8794-0.195160.03809-0.007430.001452921.9628-0.111700.01248-0.001390.000163931.9673-0.107230.01150-0.001230.000134951.9792-0.095300.00908-0.000870.000085951.9792-0.095300.00908-0.000870.000086991.9942-0.080370.00646-0.000520.0000471012.0060-0.068500.00469-0.000320.0000281042.0188-0.055720.00310-0.000170.0000191052.0212-0.053350.00285-0.000150.00001101092.0381-0.036450.00133-0.000050.00000111142.0550-0.019540.00038-0.000010.00000121182.0707-0.003890.00002-0.000000.00000131182.0710-0.003580.00001-0.000000.00000141182.0719-0.002660.00001-0.000000.00000151232.08990.015360.000240.000000.00000161302.11510.040520.001640.000070.00000171362.13350.059000.003480.000210.00001182032.30750.232960.054270.012640.00295192182.33850.263920.069650.018380.00485202462.39150.316980.100480.031850.01010TOTAL249341.4908-3.33E-153.29E-015.01E-021.99E-02Rerata Log X=2.0745Standar Deviasi (S.Log X)=0.1316CV=0.0634CS=0.1905CK=3.0646Tabel Nilai Ekstrim Distribusi Log-Normal Dua ParameterTPkLog XX (mm)20.5000-0.03052.0705117.630950.20000.82832.1835152.5838100.10001.29592.2450175.8037200.05001.69242.2972198.2366250.04001.76892.3073202.8858500.02002.15162.3576227.81921000.01002.48412.4013251.9654CVTr (Tahun)2.00005.000010.000020.000050.0000100.000025.00000.0634-0.03050.82831.29591.69242.15162.48411.76890.05-0.02500.83341.29651.68632.13412.45701.76090.50-0.21110.66261.27781.89092.72023.36732.0291

TABEL LOG NORMAL 2 PARAMETERTabel Nilai Faktor Frekuensi (k) Sebagai Fungsi Dari Nilai CVKoefisienPeluang Kumulatif P(%) : P(X152.584341.00000.250082003104.42860.0634-0.8894035557-0.3168328361-0.03054747630.82830860321.29594256961.69239894492.15157112212.4597394576P(%)CVkLog XX (mm)Jumlah :2020348.500091997105.0000200.0634-0.88941.957590.6848102006109.166760400.0634-0.31682.0329107.8597c2hitung=8.5000111990113.50000.2557378836600.06340.25572.1082128.2873DK = K - (P + 1)121991117.6667800.06340.82832.1835152.5838K ( jumlah kelas ) =5131995117.7500P ( parameter yang terikat dalam agihan frekuensi ) = 2141994118.0000Sehingga:Untuk:DK = 2 dan a = 5% ----> c2cr =5.991151998123.0000Sub kelas 1Xc2cr --->DITOLAK..!!!!!162000130.3333Sub kelas 290.685< X