Download xls - Analisis Hujan sekayu

HUJAN HARIAN MAKSIMUMDPS RANDANGAN DI BANGUNAN UTAMA RANDANGAN

Tahun Marisa Motolohu Marisa IV Hujan DPS

1991 63.00 108.60 85.801992 46.00 58.00 126.00 76.671993 126.00 107.70 126.20 79.80 109.931994 69.00 48.50 138.00 80.20 83.931995 63.50 60.00 73.00 75.50 68.001996 63.30 76.00 138.40 79.50 89.301997 51.20 66.00 61.00 79.60 64.451998 85.60 81.00 60.90 86.00 78.381999 47.00 47.002000 48.00 48.002001 42.90 42.902002 77.80 77.80

Jumlah data 8 8 11 12

Mean 70.95 75.73 85.38 72.68

Sumber : Hasil analisis Konsultan

Buntulia Utara

Distribusi Normal

n Weibull Data Prediction n Probability Prediction

1 0.08 42.9 44.54 9.9217 1 0.995 200 123.51 15.74012 0.15 47 52.55 8.1361 2 0.99 100 118.59 14.42473 0.23 48 58.16 7.0723 3 0.98 50 113.21 13.01274 0.31 64.45 62.78 6.373 4 0.96 25 107.23 11.48535 0.38 68 66.9 5.935 5 0.9 10 97.97 9.25936 0.46 76.67 70.78 5.722 6 0.8 5 89.28 7.44387 0.54 77.8 74.58 5.722 7 0.667 3 81.19 6.20268 0.62 78.38 78.46 5.935 8 0.5 2 72.68 5.69579 0.69 83.93 82.58 6.373

10 0.77 85.8 87.2 7.072311 0.85 89.3 92.81 8.136112 0.92 109.93 100.82 9.9217

Total 86.3202

Distribusi Log Normal 2 Parameter


1 0.08 42.9 47.95 6.3314 1 0.995 200 139.42 20.65912 0.15 47 53.44 5.5868 2 0.99 100 130.45 18.39973 0.23 48 57.64 5.2137 3 0.98 50 121.3 16.124 0.31 64.45 61.35 5.0619 4 0.96 25 111.88 13.80945 0.38 68 64.87 5.0865 5 0.9 10 98.72 10.68966 0.46 76.67 68.36 5.2711 6 0.8 5 87.79 8.28717 0.54 77.8 71.97 5.6122 7 0.667 3 78.69 6.5688 0.62 78.38 75.84 6.1201 8 0.5 2 70.14 5.42189 0.69 83.93 80.19 6.8245

10 0.77 85.8 85.35 7.793911 0.85 89.3 92.07 9.197312 0.92 109.93 102.6 11.5912

Total 79.6906

Distribusi Gumbel


1 0.08 42.9 43.18 7.0486 1 0.995 200 170.48 31.82352 0.15 47 49.61 5.7935 2 0.99 100 156.28 27.77643 0.23 48 54.59 5.0807 3 0.98 50 142.03 23.73214 0.31 64.45 59.05 4.7312 4 0.96 25 127.68 19.68665 0.38 68 63.33 4.7126 5 0.9 10 108.33 14.32276 0.46 76.67 67.65 5.0129 6 0.8 5 93.01 10.24697 0.54 77.8 72.19 5.6166 7 0.667 3 80.85 7.30198 0.62 78.38 77.15 6.5178 8 0.5 2 69.88 5.27779 0.69 83.93 82.82 7.7467

10 0.77 85.8 89.71 9.408511 0.85 89.3 98.92 11.789912 0.92 109.93 113.94 15.8617

Total 89.3207

Standart Deviasi Return Period Standart

Deviasi


Deviasi


Deviasi

Distribusi Pearson III


1 0.08 42.9 44.65 8.3066 1 0.995 200 124.1 18.0362 0.15 47 52.56 6.9472 2 0.99 100 119.05 15.33223 0.23 48 58.11 6.463 3 0.98 50 113.54 12.77844 0.31 64.45 62.7 6.2622 4 0.96 25 107.44 10.45035 0.38 68 66.81 6.1788 5 0.9 10 98.04 7.94246 0.46 76.67 70.68 6.152 6 0.8 5 89.25 6.71817 0.54 77.8 74.48 6.161 7 0.667 3 81.1 6.27088 0.62 78.38 78.36 6.2075 8 0.5 2 72.58 6.15249 0.69 83.93 82.51 6.3163

10 0.77 85.8 87.15 6.554411 0.85 89.3 92.81 7.099212 0.92 109.93 100.93 8.5735

Total 81.2217

Distribusi Log Pearson III


1 0.08 42.9 43.32 8.2131 1 0.995 200 126.47 30.25962 0.15 47 51.17 7.1865 2 0.99 100 122.11 24.19743 0.23 48 56.98 6.9572 3 0.98 50 117.04 18.51684 0.31 64.45 61.94 7.033 4 0.96 25 111.09 13.50065 0.38 68 66.46 7.2149 5 0.9 10 101.32 8.83816 0.46 76.67 70.79 7.4054 6 0.8 5 91.72 7.6367 0.54 77.8 75.07 7.5524 7 0.667 3 82.56 7.63448 0.62 78.38 79.46 7.6279 8 0.5 2 72.92 7.48659 0.69 83.93 84.15 7.6268

10 0.77 85.8 89.38 7.60411 0.85 89.3 95.65 7.853812 0.92 109.93 104.4 9.8527

Total 92.1277


Deviasi


Deviasi

ANALISA FREKUENSI DENGAN DISTIBUSI NORMAL

No. Tahun No. Urut X Tr (thn)

1 1999 9 80 120 13.00

2 2000 12 70 105 6.50

3 2001 3 100 100 4.33

4 2002 1 120 90 3.25

5 2003 8 85 #N/A 2.60

6 2004 11 75 89 2.17

7 2005 4 90 87 1.86

8 2006 2 105 122 1.63

9 2007 7 87 80 1.44

10 2008 10 78 78 1.30

11 2009 6 89 75 1.18

12 2010 4 90 70 1.08

13 1.00

14 0.93

15 0.87

16 0.81

17

18

19

20

21

22

23

24

25

26

Jumlah data n 12

Nilai rata-rata X 89.083

Standard deviasi 13.879

Tr (tahun) Peluang

2 0.00 89.08 0.50

5 0.84 100.74 0.20

10 1.28 106.85 0.10

25 1.64 111.85 0.04

50 2.05 117.54 0.02

100 2.33 121.42 0.01

Xurut

SX

KTr XTr (mm)

No. Tr (tahun) KTr Peluang

1 1.001 -3.05 0.9992 1.005 -2.58 0.9953 1.010 -2.33 0.9904 1.050 -1.64 0.9505 1.110 -1.28 0.9006 1.250 -0.84 0.8007 1.330 -0.67 0.7508 1.430 -0.52 0.7009 1.670 -0.25 0.600

10 2.000 0.00 0.50011 2.500 0.25 0.40012 3.330 0.52 0.30013 4.000 0.67 0.25014 5.000 0.84 0.20015 10.000 1.28 0.10016 25.000 1.64 0.04017 50.000 2.05 0.02018 100.000 2.33 0.01019 200.000 2.58 0.00520 500.000 2.88 0.00221 1000.000 3.09 0.001

Harga KTr Perhitungan Distribusi Normal

ANALISA FREKUENSI DENGAN LOG NORMAL 2 PARAMETER

No. Tahun No. Urut X X urut Tr (thn)

1 1999 7 80 120 11.00

2 2000 10 70 105 5.50

3 2001 3 100 100 3.67

4 2002 1 120 90 2.75

5 2003 6 85 87 2.20

6 2004 9 75 85 1.83

7 2005 4 90 80 1.57

8 2006 2 105 122 1.38

9 2007 5 87 75 1.22

10 2008 8 78 70 1.10

Jumlah data n 10

Standar deviasi 15.34


Koefisien Variasi 0.172

Tr (tahun) Peluang

2 -0.0848 87.70 0.50

5 0.8025 101.31 0.20

10 1.3195 109.24 0.10

25 1.8678 117.65 0.04

50 2.3265 124.69 0.02

100 2.7114 130.59 0.01

SX

CV

KTr XTr (mm)

Variasi RETURN PERIODE(YEAR)Coef. 2 5 10 20 25 50 100

CV EXCEEDENCE PROBABILITY0.500 0.200 0.100 0.050 0.040 0.020 0.010

0.05 -0.0250 0.8334 1.2965 1.6863 1.7609 2.1341 2.45700.10 -0.0496 0.8222 1.3078 1.7247 1.8061 2.2130 2.54890.15 -0.0738 0.8085 1.3156 1.7598 1.8482 2.2899 2.26070.20 -0.0971 0.7926 1.3200 1.7911 1.8866 2.3640 2.77160.25 -0.1194 0.7746 1.3209 1.8183 1.9206 2.4318 2.88050.30 -0.1406 0.7647 1.3183 1.8414 1.9514 2.5015 2.98660.35 -0.1604 0.7333 1.3126 1.8602 1.9775 2.5638 3.08900.40 -0.1788 0.7100 1.3037 1.8746 1.9990 2.6212 3.18700.45 -0.1957 0.6870 1.2920 1.8848 2.0162 2.6731 3.27990.50 -0.2111 0.6626 1.2778 1.8909 2.0291 2.7202 3.367.0.55 -0.2251 0.6379 1.2613 1.8931 2.0378 2.7613 3.44880.60 -0.2375 0.6129 1.2428 1.8915 2.1475 2.7971 3.52110.65 -0.2185 0.5879 1.2226 1.8866 2.0435 2.8279 3.39300.70 -0.2582 0.5631 1.2011 1.8786 2.0410 2.8532 3.36630.75 -0.2667 0.5387 1.1784 1.8677 2.0353 2.8735 3.71180.80 -0.2739 0.5118 1.1548 1.8543 2.0268 2.8891 3.76170.85 -0.2801 0.4914 1.1306 1.8388 2.0157 2.9002 3.80560.90 -0.2852 0.4686 1.1060 1.8212 2.0012 2.9010 3.81370.95 -0.2895 0.4466 1.0810 1.8021 1.9868 2.9103 3.87621.00 -0.2929 0.4254 1.0560 1.7815 1.9681 2.9010 3.9035

Harga KTr Perhitungan Metode Log Normal 2 Parameter

ANALISA FREKUENSI DENGAN LOG NORMAL 3 PARAMETER

No. Tahun No. Urut X X urut Tr (thn)

1 1999 7 80 120 11.00

2 2000 10 70 105 5.50

3 2001 3 100 100 3.67

4 2002 1 120 90 2.75

5 2003 6 85 87 2.20

6 2004 9 75 85 1.83

7 2005 4 90 80 1.57

8 2006 2 105 122 1.38

9 2007 5 87 75 1.22

10 2008 8 78 70 1.10

Jumlah data n 10

Standar deviasi "X" 15.34

Nilai rata-rata "X" X 89.00

Koefisien kemencengan 0.524

Tr (tahun) Peluang

2 -0.0869 87.67 0.50

5 2.1720 122.32 0.20

10 3.4040 141.22 0.10

25 4.6500 160.33 0.04

50 5.6556 175.76 0.02

100 6.4784 188.38 0.01

SX

CS

KTr XTr (mm)

Skew RETURN PERIODE(YEAR)Coef. 2 5 10 20 25 50 100

EXCEEDENCE PROBABILITYCs' 0.500 0.200 0.100 0.050 0.040 0.020 0.010

-2.0 0.2366 -0.6144 -1.2437 -1.8916 -2.0420 -2.7943 -3.5196-1.8 0.2240 -0.6395 -1.2621 -1.8928 -2.0370 -2.7578 -3.4433-1.6 0.2092 -0.6654 -1.2792 -1.8901 -2.0274 -2.7138 -3.3570-1.4 0.1920 -0.6920 -1.2943 -1.8827 -2.0125 -2.6615 -3.2601-1.2 0.1722 -0.7186 -1.3067 -1.8696 -1.9914 -2.6002 -3.1521-1.0 0.1495 -0.7449 -1.3156 -1.8501 -1.9633 -2.5294 -3.0333-0.8 0.1241 -0.7700 -1.3201 -1.8235 -1.9278 -2.4492 -2.9043-0.6 0.0959 -0.7930 -0.3194 -1.7894 -1.8845 -2.3600 -2.7665-0.4 0.0654 -0.8131 -0.3128 -1.7478 -1.8337 -2.2631 -2.6223-0.2 0.0332 -0.8296 -0.3002 -1.6993 -1.7761 -2.1602 -2.47450.0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.00000.2 -0.0332 0.8296 1.3002 1.6993 1.7761 2.1602 2.47450.4 -0.0654 0.8131 1.3128 1.7478 1.8337 2.2631 2.62230.6 -0.0950 0.7930 1.3194 1.7894 1.8845 2.3600 2.76650.8 -0.1241 0.7700 1.3201 1.8235 1.9278 2.4492 2.90431.0 -0.1495 0.7449 1.3156 1.8501 1.9633 2.5294 3.03331.2 -0.1722 0.7186 1.3067 1.8696 1.9914 2.6002 3.15211.4 -0.1920 0.6920 1.2943 1.8827 2.0125 2.6615 3.26011.6 -0.2092 0.6654 1.2792 1.8901 2.0274 2.7138 3.35701.8 -0.2240 0.6395 1.2621 1.8928 2.0370 2.7578 3.44332.0 -0.2366 0.6144 1.2437 1.8916 2.0420 2.7943 3.5196

Harga KTr Perhitungan Metode Log Normal 3 Parameter

ANALISA FREKUENSI DENGAN GUMBELL SUBAN FLARE

No. Tahun X Tr (tahun)

1 1999 80 81.0 120 11.000

2 2000 70 361.0 105 5.500

3 2001 100 121.0 100 3.667

4 2002 120 961.0 90 2.750

5 2003 85 16.0 87 2.200

6 2004 75 196.0 85 1.833

7 2005 90 1.0 80 1.571

8 2006 105 256.0 122 1.375

9 2007 87 4.0 75 1.222

10 2008 78 121.0 70 1.100

Jumlah data yang dipergunakan n 10

Jumlah nilai data 890.00


Jumlah selisih dengan mean pangkat 2 2118.00.


0.4952

0.9496

Tr (tahun) Peluang

2 0.3665 86.92 0.50

5 1.4999 105.23 0.20

10 2.2504 117.35 0.10

25 3.1985 132.67 0.04

50 3.9019 144.04 0.02

100 4.6001 155.31 0.01

(X1 - X)2 X urut

SX

S(X1 - X)2

SX

Koefisien yn (reduced mean) Yn

Koefisien sn (reduced Sd) Sn

YTr XTr (mm)

Sampel Yn Sn Sampel Yn Sn

10 0.4952 0.9496 56 0.5508 1.1696

11 0.4996 0.9676 57 0.5511 1.1708

12 0.5035 0.9833 58 0.5515 1.1721

13 0.5070 0.9971 59 0.5519 1.1734

14 0.5100 1.0095 60 0.5521 1.1747

15 0.5128 1.0206 61 0.5524 1.1759

16 0.5157 1.0316 62 0.5527 1.1770

17 0.5181 1.0411 63 0.5530 1.1782

18 0.5202 1.0493 64 0.5533 1.1793

19 0.5220 1.0565 65 0.5535 1.1803

20 0.5236 1.0628 66 0.5538 1.1814

21 0.5252 1.0696 67 0.5540 1.1824

22 0.5268 1.0754 68 0.5543 1.1834

23 0.5283 1.0811 69 0.5545 1.1844

24 0.5296 1.0864 70 0.5548 1.1854

25 0.5309 1.0915 71 0.5550 1.1854

26 0.5320 1.0861 72 0.5552 1.1873

27 0.5332 1.1004 73 0.5555 1.1881

28 0.5343 1.1047 74 0.5557 1.1890

29 0.5353 1.1086 75 0.5559 1.1898

30 0.5362 1.1124 76 0.5561 1.1906

31 0.5371 1.1159 77 0.5563 1.1915

32 0.5380 1.1193 78 0.5565 1.1923

33 0.5388 1.1226 79 0.5567 1.1930

34 0.5396 1.1255 80 0.5569 1.1938

35 0.5402 1.1287 81 0.5570 1.1945

36 0.5410 1.1313 82 0.5572 1.1953

37 0.5418 1.1339 83 0.5574 1.1959

38 0.5424 1.1363 84 0.5576 1.1967

39 0.5430 1.1388 85 0.5578 1.1973

40 0.5436 1.1413 86 0.5580 1.1987

41 0.5442 1.1436 87 0.5581 1.1987

42 0.5448 1.1458 88 0.5583 1.1994

43 0.5453 1.1480 89 0.5583 1.2001

44 0.5458 1.1499 90 0.5586 1.2007

45 0.5463 1.1519 91 0.5587 1.2013

46 0.5468 1.1538 92 0.5589 1.2020

47 0.5473 1.1557 93 0.5591 1.2026

48 0.5477 1.1574 94 0.5592 1.2032

49 0.5481 1.1590 95 0.5593 1.2038

50 0.5485 1.1607 96 0.5595 1.2044

51 0.5489 1.1623 97 0.5596 1.2049

52 0.5493 1.1638 98 0.5598 1.2055

53 0.5497 1.1658 99 0.5599 1.2060

54 0.5501 1.1667 100 0.5600 1.2065

55 0.5504 1.1681

Harga yn & Sn Perhitungan Metode Gumbel

ANALISA FREKUENSI DENGAN PEARSON III SEKAYU

No. Tahun X

1 1999 80 -729

2 2000 70 -6859

3 2001 100 1331

4 2002 120 29791

5 2003 85 -64

6 2004 75 -2744

7 2005 90 1

8 2006 105 4096

9 2007 87 -8

10 2008 78 -1331

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26


Jumlah nilai data 890.00



koefisien kemencengan 0.903

Tr (tahun) Peluang

2 -0.146 86.77 0.50

5 0.421 95.45 0.20

10 1.364 109.93 0.10

25 1.799 116.61 0.04

50 2.525 127.73 0.02

100 5.089 167.07 0.01

(Xi - X)3

SX

SX

CS

KTr XTr (mm)

Skew RETURN PERIODE(YEAR)Coef. 2 5 10 25 50 100

C' EXCEEDENCE PROBABILITYCs' 0.500 0.200 0.100 0.040 0.020 0.010

-3.0 0.396 0.49500 0.660 0.66225 0.666 0.667-2.5 0.360 0.51412 0.771 0.78113 0.798 0.799-2.0 0.307 0.52750 0.895 0.92688 0.980 0.990-1.5 0.240 0.53175 1.018 1.09263 1.217 1.256-1.2 0.195 0.52913 1.086 1.19588 1.379 1.449-1.0 0.161 0.52363 1.128 1.26450 1.492 1.880-0.9 0.148 0.52263 1.147 1.28650 1.519 1.660-0.8 0.132 0.51975 1.166 1.33100 1.606 1.733-0.7 0.116 0.51613 1.183 1.36300 1.663 1.806-0.6 0.099 0.51188 1.200 1.39500 1.720 1.880-0.5 0.083 0.50788 1.216 1.42638 1.777 1.955-0.4 0.066 0.50288 1.231 1.45600 1.831 2.029-0.3 0.050 0.49738 1.243 1.48563 1.890 2.101-0.2 0.033 0.49238 1.258 1.51563 1.945 2.178-0.1 0.017 0.48688 1.270 1.54375 2.000 2.2320.0 0.000 0.48075 1.282 1.56288 2.031 2.3260.1 -0.017 0.47387 1.292 1.59763 2.107 2.1000.2 -0.033 0.46725 1.301 1.62275 2.159 2.4720.3 -0.050 0.45963 1.309 1.64725 2.211 2.3140.4 -0.066 0.45263 1.317 1.67100 2.261 2.6150.5 -0.083 0.44425 1.323 1.69350 2.311 2.6860.6 -0.099 0.43613 1.328 1.70713 2.339 2.7550.7 -0.116 0.42738 1.333 1.62325 2.107 2.8240.8 -0.132 0.41850 1.336 1.64238 2.153 2.8910.9 -0.148 0.40962 1.339 1.66113 2.198 2.9571.0 -0.164 0.40000 1.340 1.71575 2.342 3.0221.2 -0.195 0.36938 1.310 1.80350 2.626 3.1491.5 -0.240 0.34987 1.333 1.85050 2.713 3.3302.0 -0.307 0.29638 1.302 1.90575 2.912 3.6052.3 -0.360 0.24375 1.250 1.91300 3.018 3.8153.0 -0.896 -0.11750 1.180 1.91950 3.152 1.051

Harga KTr Perhitungan Metode Pearson III

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 1.0040.00

50.00

60.00

70.00

80.00

90.00

100.00

110.00

120.00

130.00

Sebaran Normal

Sebaran Log Normar 2 Pa-rameter

Sebaran Gumbell

Sebaran Pearson III

Sebaran Log Pearson III

Sebaran Aktual

Weibull Probability

Cu

rah

Hu

jan

Mak

sim

um

(m

m)

ANALISA FREKUENSI DENGAN LOG PEARSON IIIKota Lahat

No. Tahun X log X

1 1999 80 1.9031 0.00166 -0.000072 2000 70 1.8451 0.00976 -0.000963 2001 100 2.0000 0.00315 0.000184 2002 120 2.0792 0.01830 0.002485 2003 85 1.9294 0.00021 0.000006 2004 75 1.8751 0.00474 -0.000337 2005 90 1.9542 0.00011 0.000008 2006 105 2.0212 0.00598 0.000469 2007 87 1.9395 0.00002 0.00000

10 2008 78 1.8921 0.00268 -0.00014

123456789

10


Jumlah nilai 'log X' 19.439

Nilai rata-rata 'log X' (mean) logX 1.944

Jumlah selisih dengan mean pangkat 2 0.047

Standard deviasi 'log X' 0.072

Jumlah selisih dengan mean pangkat 3 0.002

koefisien kemencengan 0.602

Tr (tahun)

2 4.415 2.2616 182.665 0.835 2.0040 100.92

10 1.371 2.0426 110.3025 1.977 2.0861 121.9450 2.395 2.1163 130.69100 2.781 2.1440 139.31

(log X1 - log X)2 (log X1 - log X)3

SlogX

S(log X1 - log X)2

S logX

S(log X1 - log X)3

CS

KTr log XTr XTr (mm)

Skew RETURN PERIODE(YEAR)Coef. 2 5 10 25 50 100 200

C' EXCEEDENCE PROBABILITYCs' 0.500 0.200 0.100 0.040 0.020 0.010 0.005

-3.0 0.396 0.636 0.666 0.666 0.666 0.667 0.667-2.9 0.390 0.651 0.681 0.683 0.689 0.690 0.690-2.8 0.384 0.666 0.702 0.712 0.714 0.714 0.714-2.7 0.376 0.681 0.747 0.738 0.740 0.740 0.741-2.6 0.368 0.696 0.771 0.764 0.768 0.769 0.769-2.5 0.360 0.711 0.795 0.793 0.798 0.799 0.800-2.4 0.351 0.725 0.819 0.823 0.830 0.832 0.833-2.3 0.341 0.739 0.844 0.855 0.864 0.867 1.869-2.2 0.330 0.752 0.869 0.888 0.900 0.905 0.907-2.1 0.319 0.765 0.895 0.923 0.939 0.946 0.949-2.0 0.307 0.777 0.920 0.959 0.980 0.990 0.995-1.9 0.294 0.788 0.945 0.996 1.023 1.038 1.044-1.8 0.282 0.799 0.970 1.035 1.069 1.087 1.097-1.7 0.268 0.808 0.884 1.075 1.116 1.140 1.155-1.6 0.254 0.817 0.994 1.116 1.166 1.197 1.216-1.5 0.240 0.825 1.018 1.157 1.217 1.256 1.282-1.4 0.225 0.832 1.041 1.198 1.270 1.318 1.351-1.3 0.210 0.838 1.064 1.240 1.324 1.383 1.424-1.2 0.195 0.844 1.086 1.282 1.379 1.449 1.501-1.1 0.180 0.848 1.107 1.324 1.435 1.518 1.581-1.0 0.164 0.852 1.128 1.366 1.492 1.588 1.664-0.9 0.148 0.854 1.147 1.407 1.549 1.660 1.749-0.8 0.132 0.856 1.166 1.448 1.606 1.733 1.837-0.7 0.116 0.857 1.183 1.488 1.663 1.806 1.926-0.6 0.099 0.857 1.200 1.528 1.720 1.880 2.016-0.5 0.083 0.856 1.216 1.567 1.770 1.955 2.108-0.4 0.066 0.855 1.231 1.606 1.834 2.029 2.201-0.3 0.500 0.853 1.245 1.643 1.890 2.104 2.294-0.2 0.033 0.850 1.258 1.680 1.945 2.178 2.388-0.1 0.017 0.846 1.270 1.716 2.000 2.252 2.4820.0 0.000 0.842 1.282 1.751 2.054 2.326 2.5760.1 -0.017 0.836 1.292 1.785 2.107 2.400 2.6700.2 -0.033 0.830 1.301 1.818 2.159 2.472 2.7630.3 -0.050 0.824 1.309 1.849 2.211 2.544 2.8560.4 -0.066 0.816 1.317 1.880 2.261 2.615 2.9490.5 -0.083 0.808 1.323 1.910 2.311 2.686 3.0410.6 -0.099 0.800 1.328 1.939 2.359 2.755 3.1320.7 -0.116 0.790 1.333 1.967 2.407 2.824 3.2230.8 -0.132 0.780 1.336 1.998 2.453 2.891 3.3120.9 -0.148 0.769 1.339 2.018 2.498 2.957 3.4011.0 -0.164 0.758 1.340 2.043 2.542 3.022 3.4891.1 -0.180 0.745 1.341 2.066 2.585 3.087 3.5751.2 -0.195 0.732 1.340 2.087 2.626 3.149 3.6611.3 -0.210 0.719 1.339 2.108 2.666 3.211 3.7451.4 -0.225 0.705 1.337 2.128 2.706 3.271 3.8281.5 -0.240 0.690 1.333 2.146 2.743 3.330 3.9101.6 -0.254 0.675 1.329 2.163 2.780 3.388 3.9901.7 -0.268 0.660 1.324 2.179 2.815 3.444 4.0691.8 -0.282 0.643 1.318 2.193 2.828 3.499 4.1471.9 -0.282 0.627 1.310 2.207 2.881 3.553 4.2232.0 -0.307 0.609 1.302 2.219 2.912 3.605 4.2982.1 -0.319 0.592 1.294 2.230 2.942 3.656 4.3722.2 -0.330 0.574 1.284 2.240 2.970 3.705 4.4442.3 -0.341 0.555 1.274 2.248 3.997 3.753 4.5152.4 -0.351 0.537 1.262 2.256 3.023 3.800 4.5842.5 -0.360 0.518 1.250 2.262 3.048 3.845 4.6522.6 -0.368 0.799 1.238 2.267 3.017 3.899 4.7182.8 -0.384 0.460 1.210 2.275 3.114 3.937 4.8472.8 -0.376 0.479 1.224 2.272 3.093 3.932 4.7832.9 -0.390 0.440 1.195 2.277 3.134 4.013 4.9093.0 -0.396 0.420 1.180 2.278 3.152 4.051 4.970

Harga KTr Perhitungan Metode Pearson III dan Log Pearson III

nNilai kritis Smirnov-Kolmogorov (a)0.2 0.1 0.05 0.01

5 0.45 0.51 0.56 0.6710 0.32 0.37 0.41 0.4915 0.27 0.30 0.34 0.40 0.41820 0.23 0.26 0.29 0.3625 0.21 0.24 0.27 0.3230 0.19 0.22 0.24 0.2935 0.18 0.20 0.23 0.2740 0.17 0.19 0.21 0.2545 0.16 0.18 0.20 0.2450 0.15 0.17 0.19 0.23

n>501.07 1.22 1.36 1.63 12.2402

79.9198104.4002

0.2 0.1 0.05 0.0110 0.3200 0.3700 0.4100 0.490012 0.3000 0.3420 0.3820 0.454015 0.2700 0.3000 0.3400 0.4000

n0.5 n0.5 n0.5 n0.5

RESUME ANALISA FREKUENSI CURAH HUJAN 1 HARIANKota Lahat

Analisa Frekuensi Curah Hujan Rencana (mm)

Normal Gumbell Pearson III

2 89.08 87.70 86.92 86.77 182.665 100.74 101.31 105.23 95.45 100.9210 106.85 109.24 117.35 109.93 110.3025 111.85 117.65 132.67 116.61 121.9450 117.54 124.69 144.04 127.73 130.69

100 121.42 130.59 155.31 167.07 139.31

RESUME SMIRNOV-KOLMOGOROVKota Lahat

No.

Selisih Untuk Nilai Kritis 5 %

Normal Gumbell Pearson III Log Pearson III

1 10.89 11.23 1.03 14.10 13.322 -0.68 3.99 -1.95 5.77 3.323 0.07 3.54 0.51 4.66 1.144 2.86 3.54 -3.83 -2.57 -6.915 #N/A -3.74 -2.09 -3.43 -8.436 -5.06 -3.70 0.16 -3.67 -9.237 -4.72 -6.97 -0.81 -7.19 -13.238 31.00 36.52 45.23 36.09 29.639 -7.79 -9.16 2.62 -9.78 -16.62

10 -9.14 -12.98 3.13 -13.77 -20.95

Selisih Maks #N/A 36.52 45.23 36.09 29.63Uji Kecocokan #N/A Diterima Ditolak Diterima Diterima

Periode Ulang

Log Normal

2 Paramater

Log Pearson III

Log Normal 2 Paramater

Kurva IDF dengan hasil R GumbelIDF Talbot

No Tr (tahun) I Jakarta,60 I Jakarta,10 I Kenten,60 I Kenten,10 Selisih

1 2 49.8 135.6 89.083 174.883 -39.283

2 5 74.3 193.8 100.742 220.242 -26.442

3 10 90.5 237.6 106.849 253.949 -16.349

4 25 111 292.8 111.845 293.645 -0.845

5 50 126.3 334.2 117.535 325.435 8.765

6 100 141.4 374.4 121.422 354.422 19.978

I (mm/jam),tr 2 I (mm/jam),tr 5

0 216.608 288.743 350.440 435.089 503.58715 159.519 196.887 223.218 252.588 276.52330 126.246 149.369 163.765 177.947 190.58845 104.458 120.328 129.321 137.357 145.40260 89.083 100.742 106.849 111.845 117.53575 77.654 86.639 91.030 94.326 98.63290 68.824 76.000 79.291 81.551 84.967

105 61.797 67.688 70.234 71.824 74.628120 56.072 61.015 63.034 64.170 66.532135 51.318 55.539 57.173 57.991 60.021150 47.307 50.966 52.309 52.897 54.670165 43.877 47.088 48.208 48.625 50.195180 40.911 43.759 44.703 44.992 46.398

t (durasi, menit)

I (mm/jam),tr 10

I (mm/jam),tr 25

I (mm/jam),tr 50

0 20 40 60 80 100 120 140 160 1800.000

100.000

200.000

300.000

400.000

500.000

600.000

700.000

Kurva IDF Talbot dengan cara Empiris

I (mm/jam),tr 2 I (mm/jam),tr 5 I (mm/jam),tr 10

I (mm/jam),tr 25 I (mm/jam),tr 50 I (mm/jam),tr 100

durasi (menit)

inte

nsit

as (

mm

/jam

)

a b Tr (Tahun) a b

9078.782 41.913 2 9078.782 41.913

9283.490 32.151 5 9283.490 32.151

9222.990 26.318 10 9222.990 26.318

9032.655 20.760 25 9032.655 20.760

9199.182 18.267 50 9199.182 18.267

9234.856 16.056 100 9234.856 16.056

575.161297.360 12.5 0.013 1.73205081200.513 0.9221378151.252 0.4166667121.422 1.3388045101.419

87.07576.28667.87561.13555.61351.00547.103

jalan luarjln kompleksarea parkir

I (mm/jam),tr 100

Tabel L.2-4 : IDF Analysis untuk setiap periode ulang

No. t (menit)Kurva Basis Intensity Duration Frequency (IDF) in mm/jam

i (mm/jam) it i^2 i^2t i-talbot delta^2 T=2 T=5 T=10 T=25 T=50 T=1001 5 195.0 975 38025 190125 193.6 2.0059 123.0 139.1 147.5 154.4 162.2 167.62 10 176.0 1760 30976 309760 174.5 2.1958 110.9 125.4 133.0 139.2 146.3 151.13 20 145.0 2900 21025 420500 145.8 0.6391 92.6 104.7 111.1 116.3 122.2 126.24 30 125.0 3750 15625 468750 125.2 0.0388 79.5 89.9 95.4 99.8 104.9 108.45 40 109.0 4360 11881 475240 109.7 0.4847 69.7 78.8 83.6 87.5 91.9 95.06 50 98.0 4900 9604 480200 97.6 0.1514 62.0 70.1 74.4 77.8 81.8 84.57 60 88.0 5280 7744 464640 87.9 0.0058 55.8 63.2 67.0 70.1 73.7 76.18 70 80.0 5600 6400 448000 80.0 0.0002 50.8 57.5 60.9 63.8 67.0 69.29 80 73.0 5840 5329 426320 73.4 0.1320 46.6 52.7 55.9 58.5 61.5 63.510 90 67.0 6030 4489 404010 67.8 0.5672 43.0 48.7 51.6 54.0 56.8 58.711 100 62.0 6200 3844 384400 62.9 0.8836 40.0 45.2 48.0 50.2 52.7 54.512 110 58.0 6380 3364 370040 58.8 0.5858 37.3 42.2 44.8 46.9 49.2 50.913 120 55.0 6600 3025 363000 55.1 0.0121 35.0 39.6 42.0 43.9 46.2 47.714 130 52.0 6760 2704 351520 51.9 0.0137 33.0 37.3 39.5 41.4 43.5 44.915 140 49.0 6860 2401 336140 49.0 0.0002 31.1 35.2 37.3 39.1 41.1 42.416 150 46.5 6975 2162 324338 46.4 0.0032 29.5 33.4 35.4 37.0 38.9 40.217 160 44.0 7040 1936 309760 44.1 0.0170 28.0 31.7 33.6 35.2 37.0 38.218 170 42.0 7140 1764 299880 42.0 0.0013 26.7 30.2 32.0 33.5 35.2 36.419 180 40.0 7200 1600 288000 40.1 0.0175 25.5 28.8 30.6 32.0 33.6 34.720 190 38.0 7220 1444 274360 38.4 0.1547 24.4 27.6 29.2 30.6 32.2 33.221 200 36.5 7300 1332 266450 36.8 0.0892 23.4 26.4 28.0 29.3 30.8 31.922 210 35.0 7350 1225 257250 35.3 0.1097 22.4 25.4 26.9 28.2 29.6 30.623 220 34.0 7480 1156 254320 34.0 0.0006 21.6 24.4 25.9 27.1 28.5 29.424 230 33.5 7705 1122 258118 32.7 0.6060 20.8 23.5 24.9 26.1 27.4 28.325 240 33.0 7920 1089 261360 31.6 2.0849 20.0 22.7 24.0 25.2 26.4 27.3

Jumlah 3005 1814.5 147525 181267 8686480 10.8003

a b Variance = 0.6573Pembilang = 10979759334 50522112.5Penyebut = 1239258.5 1239258.5

Kurva Basis 8859.9 40.8

i2 5627.6 40.8 catatan :i5 6364.1 40.8 a = parameter pembilang pada persamaan Talbot

i10 6749.9 40.8 b = parameter penyebut pada persamaan Talboti25 7065.6 40.8i50 7425.0 40.8 Persamaan Talbot : i = a/(t + b)i100 7670.5 40.8 Variance = sqrt ((i-talbot - i)^2/N)