Simulation of buck converters via numerical inverse Laplace transform

This paper focuses on the application of the theory of periodically switched circuits and systems to the steady-state and transient analysis of switching power converters. The proposed methodology is based on the derivation of an augmented companion network from topological inspection only. The above interpretation turns out to be time-invariant, thus allowing the frequency-domain analysis of the circuit by means of standard tools for the circuit analysis. Two alternative methods are used to compute the transient and the steady-state waveforms, namely the inverse discrete Fourier transform (IDFT) and the numerical inverse Laplace transform (NILT). The strength and the accuracy of the proposed approach is demonstrated on a buck converter via the prediction of its noisy absorbed current.