State-variable and cyclic-averaging analysis of bidirectional CLLC resonant converters

The study proposes the application of state variable and cyclic-averaging modelling techniques for analysis of bidirectional, dual active bridge, CLLC resonant converters. The techniques are applied for converters operating under single phase-shift modulation in forward and reverse modes and the equation description is obtained for both models. The design of the converter is presented and the simulation results obtained are compared to a Spice-based simulation to verify the accuracy of the proposed models. Results show the models are suitable to represent the behaviour of CLLC converters under single phase-shift modulation. In addition, when using the cyclic-averaging technique integration is not required to solve the model, which results in a considerably rapid analysis when compared to the execution times of state variable and Spice-based models.