圆导线内阻抗的数值计算

Numerical Calculations of Internal Impedance of Cylindrical Conductors

当考虑集肤效应时,计算圆导线的内阻抗涉及到Bessel函数。在大参数下,直接利用Bessel函数的基本级数展开式并不能给出可靠的结果。利用Bessel函数的多项式近似,本文给出了在大参数条件下计算实心和管状圆柱形导线内阻抗的闭式公式。为方便应用,还给出了不同参数范围下的实心与管状圆柱形导线的集肤电阻比和内电感比曲线。

When calculating internal impedance of solid or tubular cylindrical conductors, the Bessel functions are involved if the skin effect has to be taken into account. Large parameters will lead to unreliable results. Using the polynomial approximations of Bessel functions, closed-form formulas are developed to deal with this problem in this paper. For the convenience of applications, several sets of curves, for both the skin effect resistance ratio and internal inductance ratio of solid and tubular cylindrical conductors, which cover different ranges of parameters, are presented.