Periodic steady-state analysis of an autonomous power electronic system by a modified shooting method

This paper proposes a new periodic steady-state analysis method for an autonomous power electronic system by solving a periodic steady-state condition and a switch condition simultaneously for finding initial values. The method utilizes switching operations, which are a characteristic feature of a power electronic circuit, to express a variation of a period. There is no need to include a period T as an unknown variable. This modification eliminates two disadvantages of the conventional method; one is failure of finding solutions due to wrong initial values and the other is that an initial time does not coincide with a starting time of a circuit topological mode.