Computation of the cycle state-variable sensitivity matrix of PWM DC/DC converters and its applications

This paper presents a generalized technique for computation of cycle state-variable sensitivity matrix of pulse-width-modulated (PWM) dc/dc converters. It determines the sensitivity of the state variable variation, with the inclusion of the effects of changing the topology duration on the sensitivity matrix. A basic sensitivity graph for each circuit topology is derived. By cascading corresponding graphs, a sensitivity matrix of multiple topologies is formulated. The correctness of the proposed method is compared with other methods in the performance of the steady-state determination and stability analysis.