Computation of state variable sensitivities of PWM DC/DC regulators and its application

A generalized technique for computation of state variable sensitivities of PWM DC/DC regulators is presented. The methodology not only considers the sensitivities of the state variable variations, but also takes their effects on varying the topology duration into account. A basic sensitivity graph for single topology is firstly derived. It is then propagated to determine the sensitivities of regulators with multiple topologies. Simple mathematical computation and network transformation are required only. The state variable sensitivity matrix is applied to determine the steady-state operating point, using a newly developed dual-loop iteration algorithm and to examine the stability of operation. The algorithm is illustrated with an example of boost regulator. The theoretical predictions are verified with the results obtained from available literature