Download - Topik 7 - spada.uns.ac.id
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Topik 7HIDROLOGI
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Distribusi HujanKULIAH KE 7
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Uji distribusi hujan dengan metode Chi Quadrat Hujan rancangan kala ulang
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Distribusi frekuensi
Definisi distribusi• sebaran data dalam kurun waktu tertentu
yang mengikuti persamaan tertentu.
kegunaan• pada distribusi tertentu digunakan untuk
menentukan probabilitas (kemungkinan) suatu besaran (hujan atau debit) akantersamai atau terlampaui.
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Jenis distribusi
Distribusi Normal
Distribusi Log Normal
Distribusi Gumbel
Distribusi Log Pearson III
Distribusi Gamma
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Distribusi Log Normal
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Distribusi Gumbel
RU:
RU garis lurus:
Gumble:
Y = Nilai reduksivariat dari variabelyang diharapkanterjadi padaperiode ulang T tahun tabel
Yn = Nilai reratadari reduksi variat tabel
Sn = deviasistandard darireduksi variattabel
nn S
SYYXX )( −+=
SkXX .+=
SkXX τ .+=
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Distribusi Gumbel
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Distribusi log pearson tipe III
RU garis lurus:
Y = nilai logaritmik dari data X = nilai rerata dari Y S = standar deviasi Y k = karakteristik distribusi log pearson tipe III tabel
SkYY .+=
Y
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datadata
adalahantarahujannyacurahyangdataJumlah
peluangmempantaraHujan
tPtPtPxP
thmm
thmm
73,191001973,0
:27002400
%75,19.270024001973,04168,06141,0
)216,0()296,0()296,0216,0()27002400(
=×=
−
−∴=−=
−<−<=<<−=<<
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Pemanfaatan data hujan
Berdasarkan persamaan rasional / empirik
Parameter DAS sebagai unsur pokok subyektif
Lebih cocok untuk urban area
Dapat dikaitkan dengan return periode yang dikehendaki
89,7
2% weduwen
85,2
6% Melchior
55,0
1% Haspers
Ketiganyadiragukan untukkondisi diIndonesia (Sriharto, 1985)%tase=penympangan dibandinganalisis frekuensidata debit
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Probable maximum flood (PMF)
Q>>> bangunan sangat mahal
Untuk bangunan multi purpose dan menyangkut“human life” (spillway pada bendungan
Probable maximum precipitation (PMP) digunakan jika data debit tidak ada
)1961,(15.maxmax
HershfieldKSKXX nn
=+=
Xmax = estimasi PMP
Contoh PMF: Bend. Jatiluhur, Wadaslintang, Mrica, Wonogiri, Saguling, Cirata, Bili-bili