A New Fomulation for Skin-effect Resistance and Internal Inductance Frequency-Dependent of a Solid

Absfml-This paper presents a new and quite simple formulation to calculate the skin-effect resistance and internal inductance of a solid cylindrical conductor. The formulation is obtained from the exact solution of the Maxwell’s wave equation of an electrical field in the direction of propagation. The Fourier transform method is used to obtain the frequencydomain solution, The mults are presented in graphical form showing thc conductor resistance and internal inductance as a function of frequency. kin-effect loss has been extensively studied by many S researchers. However, most of them have dealt with the high frequency skin-effect. Yen et d. [l] presented in their work an equivalent circuit model consisting of M resistors and M - 1 inductors derived from the skin-effect differential equation. But according to Kim and Neikirk [3], this technique failed to accurately capture the skin-effect at high frequencies and does not establish clear rules governing the choice of component values. The last mentioned authors published an article modifying the Yen et al. method using simple rules for selecting the values of resistors and inductors, frequencyindependent, for a four deep ladder circuit model. A skin-effect equivalent circuit for a strip conductor is obtained by dividing the cross section area into n elements along the x axis, and m elements along the y axis where n and m must be very high E21. An exact formulation technique, known as Bessel formulation technique and different from the above mentioned techniques, is used to calculate skin-effect loss. This technique is presented in Matick [5] and Chipman [6]. In this technique the skin-effect complex internal impedance of a solid cylindrical conductor excited by an alternating current is obtained as a function of the ratio of the voltage drop along the surface of the conductor to the current enclosed. The real part gives the formulation of the resistive component, and the imaginary part gives the formulation of the reactive component from which the formulation of the internal inductance can be obtained.