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  • 7/29/2019 Data Curah Hujan Maksimum Bandung

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    OLAH DATA HUJAN

    UNTUK JALAN BANDUNG PADALARANG

    DARI STASIUN HUJAN

    BANDARA HUSEIN SASTRANEGARA

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    Tabel Data Hujan Maksimum Bulanan

    Tahun Bulan (mm)

    Jan. Peb. Mrt. Apr. Mei Jun. Jul. Ags. Sep. Okt. Nop. Des. Rate

    1994 75,0 125,0 152,0 165,0 165,0 35 62 47 45 30 67 40 841995 46,6 37,2 27,6 23,5 15,0 24,5 15 15,6 17,5 25,5 25 27,9 25,07

    1996 28,0 24,0 18,0 40,0 15,0 22 25 35 18 28 115 26 32,83

    1997 25,0 13,0 46,0 60,0 2,0 17 1 0 8 34 29 52 23,92

    1998 82,0 77,0 61,0 40,0 39,0 32 108 35 35 41 48 20 51,50

    1999 30,0 38,0 42,0 52,0 52,0 22 45 3 22 64 39 66 39,58

    2000 52,0 35,0 35,0 41,0 0,0 17 31 18 23 29 43 21 29,58

    2001 38,0 36,0 42,0 45,0 55,0 60 46 33 70 71 57 78 52,58

    2002 44,0 29,0 70,0 35,0 32,0 34 35 15 7 17 54 100 39,33

    2003 23,0 48,0 119,0 6,0 3,0 1 11 56 20 5 93 4 32,08

    2004 72,1 265,6 365,0 136,0 111,7 37,4 40,5 74,7 76,3 314,2 185,9 197,2 156,38

    2005 195,6 191,2 240,8 304,8 286,5 76,2 34,4 11,4 84,7 83,5 184,4 238,9 161,03

    2006 168,2 416,7 307,7 166,9 190,6 201,6 76,3 64,2 145,3 114,9 225,8 204,7 190,24

    2007 299,9 282,3 53,4 232,6 89,5 32,2 45,0 61 0,3 57,1 109,3 499,8 146,87

    2008 127,5 405,7 105,4 462,0 88,6 237,84

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    DATA CURAH HUJAN MAKSIMUM BANDUNG

    No. Tahun Curah Hujan(mm)

    1. 1994 1652. 1995 46,503. 1996 1154. 1997 605. 1998 1086. 1999 667. 2000 528. 2001 789. 2002 100

    10. 2003 11911. 2004 314,212. 2005 304,813. 2006 416,714. 2007 499,815. 2008 462

    Keterangan :1. Data dari tahun 1994 s/d 2003, diambil dari stasiun Bandara

    Husein Sastranegara Bandung, sumber Badan Meteorologi dan

    Geofisika Kemayoran Jakarta.2. Data dari tahun 2004 s/d 2008. diambil dari stasiun Bandara

    Husein Sastranegara Bandung, sumber Badan Meteorologi danGeofisika Propinsi Jawa Barat.

    3. Data tahun 2008 sampai dengan bulan Mei.

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    OLAH DATA HUJAN MAKSIMUM (15 DATA)CARA GUMBEL

    niX ( ) 2i XX

    1. 165 829,44

    2. 46,50

    21.697,29

    3. 115 6.209,44

    4. 60 17.902,44

    5. 108 7.361,64

    6. 66 16.332,84

    7. 52 20.107,2

    48. 78 13.409,64

    9. 100 8.798,44

    10. 119 5.595,04

    11. 314,20

    14.496,16

    12. 304,80

    12.321

    13. 416,7

    0

    49.684,4

    114. 499,8

    093.636

    15. 462 71.931,24

    2.907 360.312,26

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    mm8,19315

    26,312.360

    n

    XX i ===

    ( )4263,160

    115

    26,312.360

    1n

    XXs i =

    =

    =

    0206,1s5128,0y15n nn ===

    90194,3Ytahunan50T

    25037,2Ytahunan10T

    9940,1Ytahunan5T

    T

    T

    T

    ==

    ==

    ==

    Rumus :n

    T

    n

    nT

    s

    s.Y

    s

    s.yXX +=

    ( ) ( ) ( ) ( ) ( ) det/m63,4260206,1

    4263,160.9940,1

    0206,1

    4263,160.5128,08,193XT 355 =+=

    ( )( ) ( ) ( ) ( )

    det/m93,4660206,1

    4263,160.25037,2

    0206,1

    4263,160.5128,08,193XT 31010 =+=

    ( )( ) ( ) ( ) ( )

    det/m53,7260206,1

    4263,160.90194,3

    0206,1

    4263,160.5128,08,193XT 35050 =+=

    OLAH DATA HUJAN MAKSIMUM RATA-RATA (15

    DATA)CARA GUMBEL

    niX ( ) 2i XX

    1. 84 8,182. 25,0

    73.818,00

    3. 32,83

    2.919,24

    4. 23,92

    3.961,44

    5. 51,50

    1.250,33

    6. 39,58

    2.235,40

    7. 29,58

    3.280,998

    8. 52,5 1.175,12

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    89. 39,3

    32.259,10

    10. 32,08

    3.000,85

    11. 156,38

    4.833,03

    12. 161,03

    5.501,19

    13. 190,24

    10.687,42

    14. 146,87

    3.601,20

    15. 237,84

    22.794,96

    1.302,83

    71.326,46

    mm86,8615

    83,302.1

    n

    XX i ===

    ( )38,71

    115

    46,326.71

    1n

    XXs i =

    =

    =

    0206,1s5128,0y15n nn ===

    90194,3Ytahunan50T25037,2Ytahunan10T

    9940,1Ytahunan5T

    T

    T

    T

    == ==

    ==

    Rumus :n

    T

    n

    nT

    s

    s.Y

    s

    s.yXX +=

    ( )( ) ( ) ( ) ( )

    det/m45,1900206,1

    38,71.9940,1

    0206,1

    38,71.5128,086,86XT 355 =+=

    ( )( ) ( ) ( ) ( )

    det/m38,208

    0206,1

    38,71.25037,2

    0206,1

    38,71.5128,086,86XT 31010 =+=

    ( )( ) ( ) ( ) ( )

    det/m89,3230206,1

    38,71.90194,3

    0206,1

    38,71.5128,086,86XT 35050 =+=

    OLAH DATA HUJAN MAKSIMUM (10 DATA)CARA GUMBEL

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    niX ( ) 2i XX

    1. 165 829,44

    2. 46,50

    21.697,29

    3. 115 6.209,44

    4. 60 17.902,44

    5. 108 7.361,64

    6. 66 16.332,84

    7. 52 20.107,24

    8. 78 13.409,64

    9. 100 8.798,44

    10. 119 5.595,04

    909,50

    11.703,45

    mm95,9010

    50,909

    n

    XX i ===

    ( )06,36

    110

    45,703.11

    1n

    XXs i =

    =

    =

    9496,0s4952,0y10n nn ===

    90194,3Ytahunan50T

    25037,2Ytahunan10T

    9940,1Ytahunan5T

    T

    T

    T

    ==

    ==

    ==

    Rumus :n

    T

    n

    nT

    s

    s.Y

    s

    s.yXX +=

    ( )( ) ( ) ( ) ( )

    det/m87,1479496,0

    06,36.9940,1

    9496,0

    06,36.4952,095,90XT 355 =+=

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    ( )( ) ( ) ( ) ( )

    det/m60,1579496,0

    06,36.25037,2

    9496,0

    06,36.4952,095,90XT 31010 =+=

    ( )( ) ( ) ( ) ( )

    det/m32,2209496,0

    06,36.90194,3

    9496,0

    06,36.4952,095,90XT 35050 =+=

    OLAH DATA HUJAN MAKSIMUM RATA-RATA (10DATA)

    CARA GUMBEL

    niX ( ) 2i XX

    1. 84 8,182. 25,0

    7

    3.818,00

    3. 32,83

    2.919,24

    4. 23,92

    3.961,44

    5. 51,50

    1.250,33

    6. 39,58

    2.235,40

    7. 29,58

    3.280,998

    8. 52,58

    1.175,12

    9. 39,33

    2.259,10

    10. 32,08

    3.000,85

    410,47

    2.920,35

    mm047,4110

    47,410

    n

    XX i ===

    ( ) 01,18110

    35,920.2

    1n

    XXs i =

    =

    =

    9496,0s4952,0y10n nn ===

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    90194,3Ytahunan50T

    25037,2Ytahunan10T

    9940,1Ytahunan5T

    T

    T

    T

    ==

    ==

    ==

    Rumus : n

    T

    n

    n

    T s

    s.Y

    s

    s.y

    XX +=

    ( )( ) ( ) ( ) ( )

    det/m47,699496,0

    01,18.9940,1

    9496,0

    01,18.4952,0047,41XT 355 =+=

    ( )( ) ( ) ( ) ( )

    det/m34,749496,0

    01,18.25037,2

    9496,0

    01,18.4952,0047,41XT 31010 =+=

    ( )( ) ( ) ( ) ( )

    det/m66,1059496,0

    01,18.90194,3

    9496,0

    01,18.4952,0047,41XT 35050 =+=

    Tabel Hujan Tahunan Dari Hujan Maksimum

    PeriodeUlang

    1994 2008 (15data)

    ( )det/m3

    1994 2003 (10data)

    ( )det/m3

    5 tahunan 426,63 147,87

    10 tahunan 466,93 157,6050 tahunan 726,53 220,32

    Tabel Hujan Tahunan Dari Hujan Maksimum Rata-rata

    PeriodeUlang

    1994 2008 (15data)

    ( )det/m3

    1994 2003 (10data)

    ( )det/m3

    5 tahunan 190,45 69,47

    10 tahunan 208,38 74,3450 tahunan 323,89 105,66

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    OLAH DATA HUJAN MAKSIMUM (15 DATA)CARA LOG PEARSON TIPE III

    .No ( )mmR RlogX = ( )XX ( ) 2XX ( ) 3XX 1. 165 2,22 0,07 0,0049 0,00034

    32. 46,

    51,67 - 0,48 0,2304 -

    0,1105923. 115 2,06 - 0,09 0,0081 -

    0,0007294. 60 1,78 - 0,37 0,1369 -

    0,0506535. 108 2,03 - 0,12 0,0144 -

    0,0017286. 66 1,82 - 0,33 0,1089 -

    0,0359377. 52 1,72 - 0,43 0,1849 -

    0,0795078. 78 1,89 - 0,26 0,0676 -

    0,0175769. 100 2,00 - 0,15 0,0225 -

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    0,00337510. 119 2,08 - 0,07 0,0049 -

    0,00034311. 314,

    22,50 0,35 0,1225 0,04287

    5

    12. 304,8

    2,48 0,33 0,1089 0,035937

    13. 416,7

    2,62 0,47 0,2209 0,103823

    14. 499,8

    2,70 0,55 0,3025 0,166375

    15. 462 2,66 0,51 0,2601 0,132651

    2.907 32,23 0,02 1,8713 0,181674

    ` 15,215

    23,32

    n

    RlogX ===

    ( )37,0

    115

    8713,1

    1n

    XXs

    2

    =

    =

    =

    ( )( ) ( ) ( ) ( ) ( )

    01,0007292,037,0.215.115

    181674,0

    s.2n.1n

    XXc

    22

    3

    =

    =

    =

    s.GXQlog+=

    Untuk 5 tahunan :c = 0 0,842c = 0,1 0,836

    c = 0,02 ( ) 8414,0842,0842,0836,0.01,0

    001,0G =+

    =

    ( ) ( ) ( ) det/m27,289Q4613,237,0.8414,015,2Qlog 3==+=

    OLAH DATA HUJAN MAKSIMUM RATA-RATA (15 DATA)CARA LOG PEARSON TIPE III

    .No ( )mmR RlogX = ( )XX ( ) 2XX ( ) 3XX 1. 84 1,92 0,12 0,0144 0,0017

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    2. 25,07

    1,40 - 0,40 0,1600 - 0,0640

    3. 32,83

    1,52 - 0,28 0,0784 - 0,0220

    4. 23,9

    2

    1,38 - 0,42 0,1764 - 0,0741

    5. 51,50

    1,71 - 0,09 0,0081 - 0,0007

    6. 39,58

    1,60 - 0,20 0,0400 - 0,0080

    7. 29,58

    1,47 - 0,33 0,1089 - 0,0359

    8. 52,58

    1,72 - 0,08 0,0064 - 0,0005

    9. 39,33

    1,59 - 0,21 0,0441 - 0,0093

    10. 32,08

    1,51 - 0,29 0,0841 - 0,0244

    11. 156,38

    2,19 0,39 0,1521 0,0593

    12. 161,03

    2,21 0,41 0,1681 0,0689

    13. 190,24

    2,28 0,48 0,2304 0,1106

    14. 146,87

    2,17 0,37 0,1369 0,0507

    15. 237,84

    2,38 0,58 0,3364 0,1951

    1.302,83

    27,05 0,05 1,7447 0,2474

    ` 80,115

    05,27

    n

    RlogX ===

    ( )35,0

    115

    7447,1

    1n

    XXs

    2

    =

    =

    =

    ( )( ) ( ) ( ) ( ) ( )

    01,0011,035,0.215.115

    2474,0

    s.2n.1n

    XXc

    22

    3

    =

    =

    =

    s.GXQlog +=

    Untuk 5 tahunan :c = 0 0,842

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    c = 0,1 0,836

    c = 0,02 ( ) 8414,0842,0842,0836,0.01,0

    001,0g =+

    =

    ( ) ( ) ( ) det/m31,124Q0945,235,0.8414,080,1Qlog 3==+=

    OLAH DATA HUJAN MAKSIMUM RATA-RATA (10DATA)

    CARA LOG PEARSON TIPE III

    .No ( )mmR RlogX = ( )XX ( )2

    XX ( )3

    XX 1. 84 1,92 0,34 0,1156 0,03942. 25,07 1,40 - 0,18 0,0324 - 0,00583. 32,83 1,52 - 0,06 0,0036 - 0,00024. 23,92 1,38 - 0,20 0,0400 - 0,00805. 51,50 1,71 0,13 0,0169 0,00226. 39,58 1,60 0,02 0,0004 0,00017. 29,58 1,47 - 0,11 0,0121 - 0,00138. 52,58 1,72 0,14 0,0196 0,00279. 39,33 1,59 0,01 0,0001 0,0000

    10. 32,08 1,51 - 0,07 0,0049 - 0,0003 410,47 15,82 0,02 0,2456 0,0288

    mm58,110

    82,15

    n

    XX i ===

    ( )17,0

    110

    2456,0

    1n

    XXs

    2

    i =

    =

    =

    ( )( ) ( ) ( ) ( ) ( )

    01,00138,017,0.210.110

    0288,0

    s.2n.1n

    XXc

    22

    3

    =

    =

    =

    s.GXQlog +=

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    Untuk 5 tahunan :c = 0 0,842c = 0,1 0,836

    c = 0,02 ( ) 8414,0842,0842,0836,0.01,0

    001,0G =+

    =

    ( ) ( ) ( ) det/m84,52Q7230,117,0.8414,058,1Qlog 3==+=

    OLAH DATA HUJAN MAKSIMUM (10 DATA)CARA LOG PEARSON TIPE III

    .No ( )mmR RlogX = ( )XX ( ) 2XX ( ) 3XX 1. 165 2,22 0,293 0,0858 0,02522. 46,5 1,67 - 0,257 0,0660 - 0,01703. 115 2,06 0,133 0,0177 0,00244. 60 1,78 - 0,147 0,0216 - 0,00325. 108 2,03 0,103 0,0106 0,00116. 66 1,82 - 0,107 0,0114 - 0,00127. 52 1,72 - 0,207 0,0428 - 0,00898. 78 1,89 - 0,037 0,0014 - 0,00019. 100 2,00 0,073 0,0053 0,0004

    10. 119 2,08 0,153 0,0234 0,0036 909,5

    019,27 0 0,2860 0,0023

    ` 927,110

    27,19

    n

    RlogX ===

    ( )178,0

    110

    2860,0

    1n

    XXs

    2

    =

    =

    =

    ( )( ) ( ) ( ) ( ) ( )

    01,0001,0178,0.210.110

    0023,0

    s.2n.1n

    XXc22

    3

    =

    ==

    s.GXQlog +=

    Untuk 5 tahunan :c = 0 0,842

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    c = 0,1 0,836

    c = 0,02 ( ) 8414,0842,0842,0836,0.01,0

    001,0G =+

    =

    ( ) ( ) ( ) det/m34,119Q0768,2178,0.8414,0927,1Qlog 3==+=

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    Check uji kepercayaan dengan distribusi t (N < 30) :Ditetapkan mempunyai derajad 10 % kepercayaan dengan nilai rata-ratanya berada di sekitar 20 % dari nilai yang sebenarnya.

    14115dk15n ===

    05,0t =

    Tabel Bonnier (1981) 761,1t=

    ( ) ( ) 94,7204,5015

    761,1.4263,1608,193

    N

    t.sX ===

    ( ) ( )( )

    tahun5313,538,193.20

    4263,160.761,1.100

    X.P

    s.t.100N

    22

    =

    =

    =

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    645,1tt153dk 05,0 == =

    ( ) ( )( )

    tahun4636,468,193.20

    4263,160.645,1.100N

    2

    =

    =

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