Realization of parasitics in state-space average-value modeling of PWM DC-DC converters

Analytical average-value modeling of pulsewidth modulation dc–dc converters is usually based on the piece-wise linear waveforms of the circuit variables and neglects the parasitics that give rise to waveform nonlinearities and complicate model derivation. This letter presents a straightforward but powerful methodology that considers the true averaging of nonlinear waveforms and produces a fairly accurate large-signal transient model that is functional in both operational modes. Based on the proposed modeling approach, a fast procedure for extracting the small-signal frequency-domain characteristics is set forth. The key model parameters are established numerically using the detailed simulation, which streamlines the analysis. The resulting average-value model is validated with a hardware prototype, a detailed simulation, and several previously established models in time and frequency domains.