Analysis of Power Electronic Converters Using the Developed State Space Averaging Method

Power electronic converters are non-linear time-dependent systems whose exact analysis without the use of computers is very difficult, and even using computer softwares requires a long time. Use of the state space averaging method, as will be mentioned, in addition to simplifying the analysis procedure which is a result of converting a time-dependent system to a time-independent one, reduces the required computation time considerably. But this method is not applicable to circuits for which small variations of state variables does not apply, since it is not able to follow rapid and large changes. Therefore, we make use of a developed method in which we consider the average of the state variables as well as adding the harmonics. This more general method can basically be adjusted to various arbitrary wave forms, and is based upon a Fourier series time-dependent display for a sliding window of the given waveform. In this paper, after introducing the developed state space averaging method, results of applying this method to various basic DC/DC and DC/AC converters will be mentioned, and also effects of some parameters on the quality of model will be discussed.