Sample-reduced frequency-domain approach for transient and steady-state computation of switched networks

Abstract

This paper presents a frequency-domain (FD) approach to compute transient and steady-state responses of switched networks. Generally, the FD representation of switching functions, as given for example by PWM schemes, requires a large number of samples. The proposed method addresses this issue by using the numerical Laplace transform (NLT) with reduced number of samples. Firstly, the proposed approach identifies high-impact frequencies and discards the rest of frequencies from an obtained FD solution variable. Secondly, it calculates appropriate damping-term of the complex frequency to achieve proper integration along Bromwich contour. To compute the appropriate damping-term, this paper adopts the vector fitting (VF) software tool to localize poles of the truncated system. Two examples are presented to validate the proposed method.