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Inductance and resistance calculations for isolated conductors

机译:隔离导体的电感和电阻计算

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Various analytical and numerical calculation methods for computing the high-frequency and low-frequency inductance and resistance of isolated conductors are reviewed. The high- frequency estimates are obtained using conformal mapping theory. In both cases, a uniformly distributed return current at an arbitrary radius is assumed. Formulae are presented for the inductance of a strip conductor of zero thickness. The inductance is computed both for DC and for AC infinite conductivity. For regular polygons the conformal mapping is defined by a power series, whereas finite element analysis is used to compute the DC inductance. Conformal mapping theory is used to obtain estimates of the resistance and inductance of a rectangular conductor when the skin depth is small compared to the thickness of the conductor. A method is then presented for calculating the resistance when the skin depth exceeds the thickness of the conductor but remains small in relation to the width of the conductor. Finite element analysis is used to confirm that one of the two resistance estimates always gives a reasonable estimate of the resistance.
机译:综述了各种计算和数值计算方法,用于计算绝缘导体的高频和低频电感和电阻。使用共形映射理论获得高频估计。在这两种情况下,都假定在任意半径处均匀分布的返回电流。给出了零厚度带状导体电感的公式。计算直流和交流无限电导率的电感。对于规则多边形,保形映射由幂级数定义,而有限元分析用于计算直流电感。当趋肤深度比导体的厚度小时,使用保形映射理论来获得矩形导体的电阻和电感的估计值。然后提出一种方法,用于当趋肤深度超过导体的厚度但相对于导体的宽度保持较小时计算电阻。使用有限元分析来确认两个电阻估计之一始终可以对电阻进行合理的估计。

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