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 periodic initial values. The method utilizes switching operations, which are a characteristic feature of a power electronic circuit, to express variations of state transitions due to a variation of the period. There is no need to include the period as an unknown variable. This modification eliminates two disadvantages in the conventional method-one is failure of finding solutions for one fixed state variable due to a wrong initial value outside its operation range, and the other is that an initial time does not coincide with a starting time of a circuit topological mode.