Periodic steady-state analysis by a modified shooting method for a power electronic circuit

An efficient periodic steady-state analysis method of power electronic circuits is proposed. The method finds initial values which satisfy a steady-state boundary condition by solving a sensitivity matrix equation. For this matrix computation process, consideration of switch timing variations is essential especially for closed-loop controlled circuits to improve stability of the algorithm. Furthermore, it is possible to reduce computation time by separating initial value variables into dominant and dependent groups from their interactive relations. This paper derives a precise and general computation algorithm of the method, which is validated through application examples of converters.