Cyclic steady state behavior of switched electronic systems

Power electronics converters can be viewed as electrical networks consisting of linear elements, external sources, and electronic devices. Assuming idealized current-voltage characteristics of the electronic devices, converters can be modeled as switched (electronic) systems. Cyclic behavior, due to the repetitive switchings of the devices such as diodes and electronic switches, represent the typical steady state operating condition of switched electronic systems. In this paper the complementarity models of power converters are exploited in order to compute such cyclic steady state behavior. The proposed technique can be used for a wide class of power converters without fixing a priori the sequence of modes due to internal switchings. A frequency domain analysis is also proposed. Numerical results on dc-dc buck and boost converters show the effectiveness of the proposed approach for computing the control-to-output frequency response.