Discrete-time modelling and bifurcation analysis for finite-control-set model-predictive-controlled power converter with unity horizon length

Abstract

In this paper, we present the discrete-time modelling and bifurcation analysis for a power converter controlled by finite control set-model predictive control (FCS-MPC). The discrete-time model is essential to analyze the nonlinear dynamical behavior of the converter state parameters, especially at high-frequencies. Therefore, the aforementioned closed-loop system is modelled as a discrete hybrid automata (DHA). DHA enables to incorporate all the continuous, discrete and logical components presented in the closed-loop system and convert them to desired piecewise affine (PWA) mathematical model. Furthermore, the resulting discrete-time PWA model equations are simulated and verified for accuracy. Bifurcation analysis is performed using the discrete-time model to observe the effect of multiple power stage and control parameters on qualitative behavior of the system. Finally, the control parameters are chosen to eliminate the undesirable attractors presented in the closed-loop system. © 2019 Copyright is held by the owner/author(s).