Symbolic analysis of switching power converters based on a general averaging method

Symbolic analysis methods for averaged modeling of switching power converters are discussed in this paper. A general averaging method suitable for computer-aided analysis is discussed first. A symbolic analysis package which uses this averaging method to automatically generate an analytical averaged model for a switching power converter is then described. The package is implemented using the computer algebra system Mathematica and can be applied to DC/DC power converters using different switching techniques, including hard switching PWM, quasi-resonant soft switching, and soft transition. Several examples are provided to demonstrate the applications of the package. Possible further applications of symbolic analysis methods in power electronics are also discussed.