高矩形截面包络中窄带的电容

2022 22nd International Symposium on Electrical Apparatus and Technologies (SIELA) Pub Date : 2022-06-01 DOI:10.1109/SIELA54794.2022.9845739

G. Cividjian

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引用次数: 0

摘要

矩形截面接地包络线中心的薄带(零厚度)的二维电容可以用二维“角”几何电容或磁导公式来计算。如果条带的宽度大于包络线的高度，则可以使用已知的无限宽条带的角电容。由于窄带钢的精确解包含难以求值的序列，针对特殊情况提出了较为简单的近似公式，并对参数的中间值提出了插值方法。本文利用保角映射和数值保角映射，提出了一个新的更精确的近似公式，大大扩大了其应用范围，达到了无限高包络。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Capacitance of Narrow Strip in Tall Rectangular Cross-section Envelope

The 2D capacitance of a thin (zero thickness) strip in the center of rectangular cross section grounded envelope can be evaluated using the formulas for 2D “corner” geometric capacitances or permeances. If the width of the strip is larger than the height of the envelope the known corner capacitance for infinitely wide strip can be used. Because the exact solution for narrow strip contains difficult to evaluate series simpler approximate formulas were proposed for particular cases and interpolation is suggested for intermediate value of the parameters. In the paper, using conformal mapping and numerical conformal mapping, a new more exact approximate formula is proposed which significantly enlarge the application domain, up to infinitely tall envelope.

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2022 22nd International Symposium on Electrical Apparatus and Technologies (SIELA)

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