Arbitrary order generalized state space average modeling of switching converters

Generalized State Space Average Modeling (GSSAM), of switching converters, offers an opportunity to improve fidelity of a model by inclusion of different harmonic components. Yet, the inclusion of each frequency component contributes to an increase in the number of the state variables and matrices describing the system. In this paper, automated arbitrary order generation of the GSSAM models for switched DC-DC converters is described, which uses State Space Average Model (SSAM) as starting data set. The buck, boost and buck-boost converters are used as examples and comparison between SSAM, GSSAM of different order and PLECS switched model has been carried out to demonstrate improvements in fidelity of models. Finally, closed loop control with arbitrary order GSSAM is shown using Buck converter as an example.