Switching Instances and Permutations for State-Space Modeling of the Dual Active Half Bridge Converter

Abstract

This paper develops a model of the Dual Active Half Bridge (DAHB) converter that is built up from four switching functions. These functions describe the input signals to the gates of the power transistors. The normalized signals are converted to voltage values which are then further manipulated to produce a state space model of the inductor and capacitor voltages and currents, two key sets of parameters in describing the DAHB. The model is then generalized to describe all possible switching states, which are defined by the relative order of the turn-on and turn-off switching instances. A matrix-based description of the 24 identified modes is created in which two pairs of binary matrices, along with the inputs and states are used to identify circuit behavior in each mode. Finally, the state space model is formalized across the different modes before being validated against a Simulink-PLECS circuit model.