MPC based controller for dual active bidirectional DC-DC converter driving inverter using dynamic phasor approach

Power electronic converters are generally periodic time-dependent systems, because of their switching operation. The generalized state-space averaging method is used to model them as time independent systems. Therefore, a suitable approach such as dynamic phasor for designing controllers is applied to switched converters. In this paper full-order continuous-time average modelling and dynamic analysis of bidirectional dc-dc dual active bridge (DAB) converters are studied. While modelling in continuous time the difficulty arises due to the transformer current in DAB converter which is purely ac. Here the full-order continuous-time average model with the dc terms and first order terms of transformer current and capacitor voltage as state variables, resulting in a third-order model is considered for simulation. The generalized state-space approach is used to obtain the index-0 and index-1 model. Which is found to be time-invariant and therefore model predictive control can be used to obtain the appropriate control to drive both DAB and Inverter. Model Predictive Control (MPC) based controller is designed for a dc-dc DAB converter and when it is driving a regulated single-phase inverter. The simulation of DAB and DAB driving inverter is done by using MATLAB/SIMULINK.