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4.4 Perhitungan Curah Hujan Maksimum Wilayah Metode Poligon Thiessen
Metode hitungan ini merupakan peralatan perataan hujan daerah menggunakan Metode Poligon Thiessen, dengan faktor pembobot untuk setiap
stasiun data luas Daerah Aliran Sungai DAS untuk masing-masing stasiun adalah: Luas DPS Stasiun Silinda = 716.601 Km
2
Luas DPS Stasiun Adolina I = 156.175 Km
2
Luas DPS Stasiun Adolina II = 208.224 Km
2
= 1081 Km
2
Maka faktor pembobot Thiessen untuk masing-masing sebagai berikut: Stasiun Silinda WS
= 716.601115 = 0.663 Stasiun Adolina I WA III
= 156.175115 = 0.144 Stasiun Adolina II WA II = 208.224115 = 0.193
Dalam perhitungan ini digunakan data hujan harian di setiap pos. dari data hujan harian masing-masing pos, dihitung hujan daerah dengan menggunakan metode
Poligon Thiessen yang dapat dilihat pada Tabel 4. 4 sampai Tabel 4.18:
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Tabel 4.5 Perataan Hujan Metode Thiessen pada tahun 1990
1990 Sta. Adolina Ulu III
Sta. Adolina Ulu II Sta. Silinda
Rata-rata Thiessen WG =
0.14447271 WK =
0.19262165 WS =
0.662905643 SR
R R = WG x R
R R = WG x R
R R = WG x R
mm Jan
61 8.812835338
59 11.36467715
69 45.74048936
65.91800185 Feb
48 6.934690102
46 8.860595745
15.79528585 Mar
18 2.600508788
15 2.889324699
101 66.95346994
72.44330342 Apr
25 3.611817761
46 8.860595745
106 70.26799815
82.74041166 Mei
110 15.89199815
117 22.53673265
108 71.59380944
110.0225402 Jun
21 3.03392692
82 15.79497502
48 31.81947086
50.6483728 Jul
59 8.523889917
73 14.0613802
114 75.57124329
98.15651341 Ags
50 7.223635523
46 8.860595745
30 19.88716929
35.97140056 Sep
160 23.11563367
190 36.59811286
110 72.91962072
132.6333673 Okt
321 46.37574006
229 44.11035708
92 60.98731915
151.4734163 Nop
169 24.41588807
122 23.49984089
59 39.11143293
87.02716189 Des
202 29.18348751
193 37.1759778
80 53.03245143
119.3919167
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Tabel 4.6 Perataan Hujan Metode Thiessen pada tahun 1991
1991 Sta. Adolina Ulu III
Sta. Adolina Ulu II Sta. Silinda
Rata-rata Thiessen WG =
0.14447271 WK =
0.192621647 WS =
0.662905643 SR
R R = WG x R
R R = WG x R
R R = WG x R
mm Jan
84 12.13570768
73 14.0613802
54 35.79690472
61.9939926 Feb
103 14.88068918
137 26.38916559
40 26.51622572
67.78608048 Mar
9 1.300254394
24 4.622919519
51 33.80818779
39.7313617 Apr
21 3.03392692
33 6.356514339
45 29.83075393
39.22119519 Mei
149 21.52643386
164 31.58995005
42 27.842037
80.95842091 Jun
170 24.56036078
142 27.35227382
50 33.14528215
85.05791674 Jul
71 10.25756244
93 17.91381314
58 38.44852729
66.61990287 Ags
97 14.01385291
179 34.47927475
48.49312766 Sep
168 24.27141536
178 34.2866531
58.55806846 Okt
215 31.06163275
133 25.618679
56.68031175 Nop
85 12.28018039
152 29.27849029
41.55867068 Des
185 26.72745143
143 27.54489547
54.2723469
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Tabel 4.7 Perataan Hujan Metode Thiessen pada tahun 1992
1992 Sta. Adolina Ulu III
Sta. Adolina Ulu II Sta. Silinda
Rata-rata Thiessen WG =
0.14447271 WK =
0.192621647 WS =
0.662905643 SR
R R = WG x R
R R = WG x R
R R = WG x R
mm Jan
6 0.866836263
6 1.15572988
17 11.26939593
13.29196207 Feb
16 2.311563367
25 4.815541166
39 25.85332007
32.98042461 Mar
3 0.433418131
3 0.57786494
42 27.842037
28.85332007 Apr
87 12.56912581
26 5.008162812
55 36.45981036
54.03709898 Mei
179 25.86061517
133 25.618679
53 35.13399907
86.61329325 Jun
119 17.19225254
126 24.27032747
59 39.11143293
80.57401295 Jul
52 7.512580944
45 8.667974098
26 17.23554672
33.41610176 Ags
129 18.63697965
129 24.84819241
54 35.79690472
79.28207678 Sep
216 31.20610546
243 46.80706013
27 17.89845236
95.91161795 Okt
204 29.47243293
222 42.76200555
65 43.08886679
115.3233053 Nop
60 8.668362627
140 26.96703053
69 45.74048936
81.37588252 Des
249 35.9737049
217 41.79889732
62 41.10014986
118.8727521
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Tabel 4.8 Perataan Hujan Metode Thiessen pada tahun 1993
1993 Sta. Adolina Ulu III
Sta. Adolina Ulu II Sta. Silinda
Rata-rata Thiessen WG =
0.14447271 WK =
0.192621647 WS =
0.662905643 SR
R R = WG x R
R R = WG x R
R R = WG x R
mm Jan
42 6.067853839
122 23.49984089
47 31.15656522
60.72425994 Feb
61 8.812835338
29 5.586027752
45 29.83075393
44.22961702 Mar
63 9.101780759
100 19.26216466
38 25.19041443
53.55435985 Apr
99 14.30279833
88 16.9507049
41 27.17913136
58.4326346 Mei
82 15.79497502
44 29.16784829
44.96282331 Jun
95 13.72490749
123 23.69246253
29 19.22426364
56.64163367 Jul
76 10.97992599
90 17.3359482
36 23.86460315
52.18047734 Ags
123 23.69246253
47 31.15656522
54.84902775 Sep
220 31.7839963
185 35.63500463
48 31.81947086
99.23847179 Okt
59 8.523889917
129 24.84819241
30 19.88716929
53.25925162 Nop
302 43.63075856
325 62.60203515
54 35.79690472
142.0296984 Des
207 29.90585106
221 42.5693839
49 32.4823765
104.9576115
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Tabel 4.9 Perataan Hujan Metode Thiessen pada tahun 1994
1994 Sta. Adolina Ulu III
Sta. Adolina Ulu II Sta. Silinda
Rata-rata Thiessen WG =
0.14447271 WK =
0.192621647 WS =
0.662905643 SR
R R = WG x R
R R = WG x R
R R = WG x R
mm Jan
49 7.079162812
80 15.40973173
13 8.617773358
31.1066679 Feb
55 10.59419056
33 21.87588622
32.47007678 Mar
144 20.80407031
119 22.92197595
65 43.08886679
86.81491304 Apr
138 19.93723404
123 23.69246253
38 25.19041443
68.82011101 Mei
132 19.07039778
159 30.62684181
56 37.122716
86.8199556 Jun
55 7.945999075
15 2.889324699
25 16.57264107
27.40796485 Jul
8 1.155781684
13 2.504081406
63 41.7630555
45.42291859 Ags
169 24.41588807
125 24.07770583
58 38.44852729
86.94212118 Sep
175 25.28272433
142 27.35227382
45 29.83075393
82.46575208 Okt
148 21.38196115
73 14.0613802
65 43.08886679
78.53220814 Nop
347 50.13203053
236 45.4587086
75 49.71792322
145.3086623 Des
58 8.379417206
65 12.52040703
23 15.24682979
36.14665402
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Tabel 4.10 Perataan Hujan Metode Thiessen pada tahun 1995
1995 Sta. Adolina Ulu III
Sta. Adolina Ulu II Sta. Silinda
Rata-rata Thiessen WG =
0.14447271 WK =
0.192621647 WS =
0.662905643 SR
R R = WG x R
R R = WG x R
R R = WG x R
mm Jan
5.778908418 40
7.704865865 62
41.10014986 54.58392414
Feb 79
7.945999075 55
10.59419056 29
19.22426364 37.76445328
Mar 52
17.04777983 118
22.7293543 31
20.55007493 60.32720907
Apr 31
0.433418131 3
0.57786494 39
25.85332007 26.86460315
Mei 119
3.32287234 23
4.430297872 20
13.25811286 21.01128307
Jun 66
13.14701665 91
17.52856984 16
10.60649029 41.28207678
Jul 67
1.444727105 10
1.926216466 20
13.25811286 16.62905643
Ags 159
20.37065217 141
27.15965217 38
25.19041443 72.72071878
Sep 148
16.6143617 115
22.15148936 29
19.22426364 57.99011471
Okt 107
18.49250694 128
24.65557077 45
29.83075393 72.97883164
Nop 221
38.14079556 264
50.85211471 92
60.98731915 149.9802294
Des 181
28.46112396 197
37.94646438 91
60.32441351 126.7320019
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Tabel 4.11 Perataan Hujan Metode Thiessen pada tahun 1996
1996 Sta. Adolina Ulu III
Sta. Adolina Ulu II Sta. Silinda
Rata-rata Thiessen WG =
0.14447271 WK =
0.192621647 WS =
0.662905643 SR
R R = WG x R
R R = WG x R
R R = WG x R
mm Jan
49 6.50127197
45 8.667974098
38 25.19041443
40.3596605 Feb
30 5.778908418
40 7.704865865
29 19.22426364
32.70803793 Mar
14.73621647 102
19.64740796 40
26.51622572 60.89985014
Apr 103
13.00254394 90
17.3359482 56
37.122716 67.46120814
Mei 149
23.83799722 165
31.78257169 40
26.51622572 82.13679463
Jun 66
17.33672525 120
23.11459759 42
27.842037 68.29335985
Jul 67
13.72490749 95
18.29905643 36
23.86460315 55.88856707
Ags 159
0.577890842 4
0.770486586 62
41.10014986 42.44852729
Sep 112
10.11308973 70
13.48351526 64
42.42596115 66.02256614
Okt 137
20.94854302 145
27.93013876 69
45.74048936 94.61917114
Nop 176
31.63952359 219
42.18414061 73
48.39211193 122.2157761
Des 157
15.1696346 105
20.2252729 60
39.77433858 75.16924607
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Tabel 4.12 Perataan Hujan Metode Thiessen pada tahun 1997
1997 Sta. Adolina Ulu III
Sta. Adolina Ulu II Sta. Silinda
Rata-rata Thiessen WG =
0.14447271 WK =
0.192621647 WS =
0.662905643 SR
R R = WG x R
R R = WG x R
R R = WG x R
mm Jan
4 0.866836263
6 1.15572988
49 32.4823765
34.50494265 Feb
199 25.71614246
178 34.2866531
61 40.43724422
100.4400398 Mar
80 20.08170675
139 26.77440888
44 29.16784829
76.02396392 Apr
106 5.923381129
41 7.897487512
62 41.10014986
54.9210185 Mei
144 5.056544866
35 6.741757632
36 23.86460315
35.66290564 Jun
102 2.600508788
18 3.467189639
36 23.86460315
29.93230157 Jul
62 14.59174376
101 19.45478631
62 41.10014986
75.14667993 Ags
138 9.53519889
66 12.71302868
65 43.08886679
65.33709436 Sep
173 33.51766883
232 44.68822202
81 53.69535708
131.9012479 Okt
167 33.37319611
231 44.49560037
82 54.35826272
132.2270592 Nop
190 22.82668825
158 30.43422017
45 29.83075393
83.09166235 Des
170 8.668362627
60 11.5572988
82 54.35826272
74.58392414
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Tabel 4.13 Perataan Hujan Metode Thiessen pada tahun 1998
1998 Sta. Adolina Ulu III
Sta. Adolina Ulu II Sta. Silinda
Rata-rata Thiessen WG =
0.14447271 WK =
0.192621647 WS =
0.662905643 SR
R R = WG x R
R R = WG x R
R R = WG x R
mm Jan
50 22.1043247
153 29.47111193
44 29.16784829
80.74328492 Feb
73 0.14447271
1 0.192621647
42 27.842037
28.17913136 Mar
62 1.155781684
8 1.540973173
27 17.89845236
20.59520722 Apr
86 1.155781684
8 1.540973173
38 25.19041443
27.88716929 Mei
149 9.390726179
65 12.52040703
26 17.23554672
39.14667993 Jun
99 10.25756244
71 13.67613691
33 21.87588622
45.80958557 Jul
83 9.101780759
63 12.13516374
45 29.83075393
51.06769843 Ags
158 41.31919519
286 55.08979093
25 16.57264107
112.9816272 Sep
206 22.53774283
156 30.04897687
34 22.53879186
75.12551156 Okt
177 19.07039778
132 25.42605735
45 29.83075393
74.32720907 Nop
201 19.93723404
138 26.58178723
39 25.85332007
72.37234135 Des
104 23.69352451
164 31.58995005
35 23.2016975
78.48517206
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Tabel 4.14 Perataan Hujan Metode Thiessen pada tahun 1999
1999 Sta. Adolina Ulu III
Sta. Adolina Ulu II Sta. Silinda
Rata-rata Thiessen WG =
0.14447271 WK =
0.192621647 WS =
0.662905643 SR
R R = WG x R
R R = WG x R
R R = WG x R
mm Jan
137 11.26887142
78 15.02448844
28 18.561358
44.85471785 Feb
182 2.022617946
14 2.696703053
30 19.88716929
24.60649029 Mar
157 1.733672525
12 2.311459759
28 18.561358
22.60649029 Apr
82 2.456036078
17 3.274567993
17 11.26939593
17 Mei
159 4.045235893
28 5.393406105
28 18.561358
28 Jun
102 12.28018039
85 16.37283996
29 19.22426364
47.877284 Jul
65 10.25756244
71 13.67613691
26 17.23554672
41.16924607 Ags
80 9.246253469
64 12.32778538
29 19.22426364
40.7983025 Sep
243 23.11563367
160 30.81946346
31 20.55007493
74.48517206 Okt
36.98501388 256
49.31114154 32
21.21298057 107.509136
Nop 36.26265032
251 48.3480333
28 18.561358
103.1720416 Des
46.9536309 325
62.60203515 30
19.88716929 129.4428353
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Tabel 4.15 Perataan Hujan Metode Thiessen pada tahun 2000
2000 Sta. Adolina Ulu III
Sta. Adolina Ulu II Sta. Silinda
Rata-rata Thiessen WG =
0.14447271 WK =
0.192621647 WS =
0.662905643 SR
R R = WG x R
R R = WG x R
R R = WG x R
mm Jan
68 14.73621647
102 19.64740796
52 34.47109343
68.85471785 Feb
109 18.05908881
125 24.07770583
58 38.44852729
80.58532192 Mar
76 20.08170675
139 26.77440888
47 31.15656522
78.01268085 Apr
126 21.52643386
149 28.70062535
58 38.44852729
88.67558649 Mei
189 24.41588807
169 32.55305828
65 43.08886679
100.0578131 Jun
126 20.08170675
139 26.77440888
48 31.81947086
78.67558649 Jul
108 16.32541628
113 21.76624607
42 27.842037
65.93369935 Ags
140 24.12694265
167 32.16781499
59 39.11143293
95.40619056 Sep
188 22.82668825
158 30.43422017
58 38.44852729
91.70943571 Okt
224 33.95108696
235 45.26608696
60 39.77433858
118.9915125 Nop
195 37.2739593
258 49.69638483
49 32.4823765
119.4527206 Des
227 43.19734043
299 57.59387234
65 43.08886679
143.8800796
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Tabel 4.16 Perataan Hujan Metode Thiessen pada tahun 2001
2001 Sta. Adolina Ulu III
Sta. Adolina Ulu II Sta. Silinda
Rata-rata Thiessen WG =
0.14447271 WK =
0.192621647 WS =
0.662905643 SR
R R = WG x R
R R = WG x R
R R = WG x R
mm Jan
151 15.89199815
110 21.18838113
35 23.2016975
60.28207678 Feb
5 5.056544866
35 6.741757632
46 30.49365957
42.29196207 Mar
170 29.47243293
204 39.29481591
37 24.52750879
93.29475763 Apr
112 12.71359852
88 16.9507049
29.66430342 Mei
126 15.31410731
106 20.41789454
35.73200185 Jun
66 11.70228955
81 15.60235338
38 25.19041443
52.49505735 Jul
38 10.25756244
71 13.67613691
39 25.85332007
49.78701943 Ags
67 11.26887142
78 15.02448844
42 27.842037
54.13539685 Sep
125 23.40457909
162 31.20470675
38 25.19041443
79.79970028 Okt
301 55.76646623
386 74.3519556
44 29.16784829
159.2862701 Nop
180 27.16086957
188 36.21286957
37 24.52750879
87.90124792 Des
483 55.76646623
386 74.3519556
46 30.49365957
160.6120814
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Tabel 4.17 Perataan Hujan Metode Thiessen pada tahun 2002
2002 Sta. Adolina Ulu III
Sta. Adolina Ulu II Sta. Silinda
Rata-rata Thiessen WG =
0.14447271 WK =
0.192621647 WS =
0.662905643 SR
R R = WG x R
R R = WG x R
R R = WG x R
mm Jan
122 19.50381591
135 26.00392229
62 41.10014986
86.60788807 Feb
12 7.945999075
55 10.59419056
26 17.23554672
35.77573636 Mar
18 10.11308973
70 13.48351526
52 34.47109343
58.06769843 Apr
67 44.41467808
44.41467808 Mei
37 24.52750879
24.52750879 Jun
76 50.38082886
50.38082886 Jul
28 18.561358
18.561358 Ags
71 47.06630065
47.06630065 Sep
77 51.04373451
51.04373451 Okt
69 45.74048936
45.74048936 Nop
72 47.72920629
47.72920629 Des
75 49.71792322
49.71792322
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Tabel 4.18 Perataan Hujan Metode Thiessen pada tahun 2003
2003 Sta. Adolina Ulu III
Sta. Adolina Ulu II Sta. Silinda
Rata-rata Thiessen WG =
0.14447271 WK =
0.192621647 WS =
0.662905643 SR
R R = WG x R
R R = WG x R
R R = WG x R
mm Jan
110 13.8693802
96 18.49167808
88 58.33569658
90.69675486 Feb
66 4.478654024
31 5.971271045
35 23.2016975
33.65162257 Mar
63 7.945999075
55 10.59419056
53 35.13399907
53.67418871 Apr
121 16.32541628
113 21.76624607
92 60.98731915
99.0789815 Mei
157 15.31410731
106 20.41789454
53 35.13399907
70.86600093 Jun
58 8.090471785
56 10.78681221
19 12.59520722
31.47249121 Jul
154 13.14701665
91 17.52856984
94 62.31313043
92.98871693 Ags
121 21.23748844
147 28.31538205
59 39.11143293
88.66430342 Sep
287 35.25134135
244 46.99968178
90 59.66150786
141.912531 Okt
305 41.4636679
287 55.28241258
62 41.10014986
137.8462303 Nop
220 18.49250694
128 24.65557077
30 19.88716929
63.03524699 Des
125 10.83545328
75 14.4466235
52 34.47109343
59.75317021
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Tabel 4.19 Perataan Hujan Metode Thiessen pada tahun 2004
2004 Sta. Adolina Ulu III
Sta. Adolina Ulu II Sta. Silinda
Rata-rata Thiessen WG =
0.14447271 WK =
0.192621647 WS =
0.662905643 SR
R R = WG x R
R R = WG x R
R R = WG x R
mm Jan
136 9.6796716
67 12.90565032
67 44.41467808
67 Feb
67 4.767599445
33 6.356514339
62 41.10014986
52.22426364 Mar
109 15.74752544
109 20.99575948
40 26.51622572
63.25951064 Apr
33 4.767599445
33 6.356514339
44 29.16784829
40.29196207 Mei
141 20.37065217
141 27.15965217
71 47.06630065
94.596605 Jun
132 14.88068918
103 19.8400296
34.72071878 Jul
Ags 4.623126735
32 6.163892692
10.78701943 Sep
Okt Nop
Des
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Dan pada Tabel 4.20 dapat dijelaskan rekap dari hasil hujan maksimum hasil rata-rata Thiessen
Tabel 4.20 Curah Hujan maksimum hasil rata-rata Thiessen
Tahun 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004
Curah Hujan 151.5 85.06 118.9 142 145.3 150 122.2 132.2 113 129.4 143.9 160.6 86.61 141.9 94.6
Maks mm
Universitas Sumatera Utara
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4.5 Analisa Curah Hujan Maksimum Wilayah Metode Distribuasi Log Normal