A n-PWM DC-DC Converter Modeling: Switched Systems Meets Fourier Series

Abstract

In this work we propose a steady-state modeling of DC-DC converters driven by multiple pulse width modulation (PWM) signals. The proposed DC-DC converter modeling uses a switched state-space framework and the switching signal discontinuities is represented by a Fourier series to obtain the average model. The advantage of the proposed modeling is that it is not dependent on the DC-DC converter topology and the dimension of the state-space model is not increased with the number of storage devices. Additionally, the duty-cycle and phase displacements among the driving PWM signals can be arbitrary and systematically modeled. The effectiveness of the proposed modeling is supported by simulation and experimental results.