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Capacitance: Formula (Bundle

The document discusses the capacitance formula for calculating the capacitance of bundled conductors. It provides the formula to calculate the equivalent diameter Deq of the bundled conductors and the modified geometric mean radius DsC, which is used in the capacitance formula. It also shows the calculation of DsC for bundles with 2, 3, and 4 conductors by considering the distances between the conductor surfaces.

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Ap kowshik
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542 views4 pages

Capacitance: Formula (Bundle

The document discusses the capacitance formula for calculating the capacitance of bundled conductors. It provides the formula to calculate the equivalent diameter Deq of the bundled conductors and the modified geometric mean radius DsC, which is used in the capacitance formula. It also shows the calculation of DsC for bundles with 2, 3, and 4 conductors by considering the distances between the conductor surfaces.

Uploaded by

Ap kowshik
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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Capacitance Formula (Bundle

conductors)
Capacitance of Bundle conductors

𝑞𝑎 2𝜋𝜀0
𝐶𝑛 = = 𝐹 𝑚 𝑡𝑜 𝑛𝑒𝑢𝑡𝑟𝑎𝑙
𝑉𝑎𝑛 𝐷𝑒𝑞
𝑙𝑛 𝑏
𝐷𝑠𝐶
Here,

3
𝐷𝑒𝑞 = 𝐷12 𝐷23 𝐷31

𝑏
𝐷𝑠𝐶 = 𝑚𝑜𝑑𝑖𝑓𝑖𝑒𝑑 𝐺𝑀𝑅, 𝑢𝑠𝑒𝑑 𝑡𝑜 𝑐𝑎𝑙𝑐𝑢𝑙𝑎𝑡𝑒 𝑐𝑎𝑝𝑎𝑐𝑖𝑡𝑎𝑛𝑐𝑒 𝑓𝑜𝑟 𝑏𝑢𝑛𝑑𝑙𝑒 𝑐𝑜𝑛𝑑𝑢𝑐𝑡𝑜𝑟𝑠.
Capacitance of Bundle conductors

Bundle arrangement for calculation of 𝑫𝒃𝒔𝑪 :


d

d d d d
d d d

For a two-stranded bundle,


𝑏
𝐷sC =
4
(𝑟. 𝑑)2 = 𝑟. 𝑑 𝑟 × 𝑟 × 𝑑𝑎1𝑎2 × 𝑑𝑎2𝑎2

For a three-stranded bundle,


𝑏 9 3 𝑟 × 𝑟 × 𝑟 × 𝑑𝑎1𝑎2 × 𝑑𝑎1𝑎3 × 𝑑𝑎2𝑎1 × 𝑑𝑎2𝑎3 × 𝑑𝑎3𝑎1 × 𝑑𝑎3𝑎2
𝐷sC = (𝑟. 𝑑. 𝑑)3 = 𝑟𝑑 2

For a four-stranded bundle,


16 4
𝑏
𝐷sC = (𝑟. 𝑑. 𝑑. 2𝑑)4 = 1.09 𝑟𝑑 3

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