HARMONIC ANALYSIS OF CURRENTS IN R, L SYSTEMS WITH SEMICONDUCTOR SWITCHING DEVICES

Abstract

The method presented here concerns the analysis of the steady‐state performance of semiconductor switching devices (SSDs) on the assumption that they are represented by resistances whose values vary periodically in time. The method is reduced to the analysis of a system of linear differential equations with periodic coefficients and the method consists of two stages. The first is the calculation of characteristic exponents in order to affirm that the steady state does exist and the second stage is the calculation of the frequency spectrum of currents in the steady state. These calculations are reduced to one of solving the eigen‐problem of an infinite matrix and an infinite system of linear algebraic equations, respectively. Criteria are given which allow one to obtain results with the required accuracy, restricting oneself to finite dimensions. Finally, the method is illustrated by an example which confirms its effectiveness.