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Karakteristik Elektrik
Saluran Transmisi
(3)
Ramadoni Syahputra
Teknik Elektro UMY
2/17/2017 Ramadoni Syahputra - Teknik Elektro
UMY
1
Geometric Mean Radius (GMR)
Geometric Mean Radius (GMR) atau
jejari rata-rata geometris dari suatu luas
(area) adalah limit dari jarak rata-rata
geometris (GMD) antara pasangan-
pasangan elemen dalam luas iti sendiri
jika jumlah elemen itu diperbesar sampai
tak berhingga.
GMR
Khusus untuk kawat bundar, GMR
untuk satu kawat ialah jejari dari suatu
silinder berdinding yang sangat tipis
mendekati nol sehingga induktansi dari
silinder itu sama dengan induktansi
kawat asli.
 Induktansi Saluran






 
12
1
7
1
4
11
102 dln
r
lnhL 






 
12
1
7
1
4
11
102 dlneln
r
lnhL 











12
1
7
1
4
1
1
102 dln
er
lnhL 
 Pemakaian GMR ini membutuhkan distribusi
arus yang uniform dan tidak ada bahan-bahan
magnetik.
 Jika yang dibahas adalah penghantar ACSR
dimana berinti baja yang merupakan bahan
magnetik, maka dalam hal ini biasanya
diasumsikan arus mengalir dalam kawat-
kawat penghantar, dan arus yang sangat kecil
pada inti baja diabaikan.
 Dengan demikian pengertian GMR pada
ACSR dapat dipergunakan.
Jika suatu lingkaran pada jejari r terdapat
n titik yang jaraknya satu sama lain
sama besar maka GMD antara titik-
titik itu adalah:
Geometric Mean Distance
(GMD)
1
 n
nrGMD
• Penampang kawat penghantar untuk
mendapatkan perhitungan GMD
r
• Jika ada dua kawat paralel dipisahkan
oleh media isolasi akan terbentuk
kapasitor, jadi mempunyai sifat untuk
menyimpan muatan listrik.
• Jika suatu perbedaan tegangan
dipertahankan antara kedua kawat maka
muatan-muatan listrik pada kawat-kawat
tersebut mempunyai tanda-tanda yang
berlawanan.
KAPASITANSI DAN REAKTANSI KAPASITIF
RANGKAIAN FASE TUNGGAL
 Jika kita memandang dua kawat penghantar, yaitu
kawat 1 dan kawat 2, masing-masing memiliki
potensial e1 dan e2.
 Perbedaan potensial antara kawat 1 dan kawat 2
diberikan oleh persamaan berikut.






 12
21
1
2112 2
11
2
dln
r
ln
r
ln
h
q
eee
v
dengan,
v = konstanta dielektrik ruang hampa
= 8,854 x 10-12 farad per meter
Terima Kasih

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Transmisi distribusi p6a

  • 1. Karakteristik Elektrik Saluran Transmisi (3) Ramadoni Syahputra Teknik Elektro UMY 2/17/2017 Ramadoni Syahputra - Teknik Elektro UMY 1
  • 2. Geometric Mean Radius (GMR) Geometric Mean Radius (GMR) atau jejari rata-rata geometris dari suatu luas (area) adalah limit dari jarak rata-rata geometris (GMD) antara pasangan- pasangan elemen dalam luas iti sendiri jika jumlah elemen itu diperbesar sampai tak berhingga.
  • 3. GMR Khusus untuk kawat bundar, GMR untuk satu kawat ialah jejari dari suatu silinder berdinding yang sangat tipis mendekati nol sehingga induktansi dari silinder itu sama dengan induktansi kawat asli.
  • 4.  Induktansi Saluran         12 1 7 1 4 11 102 dln r lnhL          12 1 7 1 4 11 102 dlneln r lnhL             12 1 7 1 4 1 1 102 dln er lnhL 
  • 5.  Pemakaian GMR ini membutuhkan distribusi arus yang uniform dan tidak ada bahan-bahan magnetik.  Jika yang dibahas adalah penghantar ACSR dimana berinti baja yang merupakan bahan magnetik, maka dalam hal ini biasanya diasumsikan arus mengalir dalam kawat- kawat penghantar, dan arus yang sangat kecil pada inti baja diabaikan.  Dengan demikian pengertian GMR pada ACSR dapat dipergunakan.
  • 6. Jika suatu lingkaran pada jejari r terdapat n titik yang jaraknya satu sama lain sama besar maka GMD antara titik- titik itu adalah: Geometric Mean Distance (GMD) 1  n nrGMD
  • 7. • Penampang kawat penghantar untuk mendapatkan perhitungan GMD r
  • 8. • Jika ada dua kawat paralel dipisahkan oleh media isolasi akan terbentuk kapasitor, jadi mempunyai sifat untuk menyimpan muatan listrik. • Jika suatu perbedaan tegangan dipertahankan antara kedua kawat maka muatan-muatan listrik pada kawat-kawat tersebut mempunyai tanda-tanda yang berlawanan. KAPASITANSI DAN REAKTANSI KAPASITIF RANGKAIAN FASE TUNGGAL
  • 9.  Jika kita memandang dua kawat penghantar, yaitu kawat 1 dan kawat 2, masing-masing memiliki potensial e1 dan e2.  Perbedaan potensial antara kawat 1 dan kawat 2 diberikan oleh persamaan berikut.        12 21 1 2112 2 11 2 dln r ln r ln h q eee v dengan, v = konstanta dielektrik ruang hampa = 8,854 x 10-12 farad per meter