Internal impedance analysis of rectangular conductors at high frequencies

Abstract

This paper presents the internal impedance analysis of rectangular conductors using analytical calculations. A novel 2D analytical formula is presented using a variational method. And its impedance calculation is compared with other analytical formulas with the format of sum of series for internal impedances calculations of rectangular conductors at high frequencies. It is shown that the novel analytical formula for internal impedance calculation has excellent accuracy despite its simple and closed form function. Dirichlet boundary condition is used by applying zero magnetic vector potential on the edges of rectangular conductor for the analytical calculations of internal impedance. The internal inductance and resistance are calculated at different frequencies between 1 MHz and 1000 MHz. The accuracy and simplicity of different analytical formulas for the internal impedance of rectangular conductors and equivalent circular conductors are compared.