A Circuit for the Large and Small Signal Dynamic Modeling of the PRC-LCC Resonant Topology with a Capacitor as Output Filter

This paper explains how to obtain and solve with PSpice a simple mathematical model for the series-parallel resonant topology (PRC-LCC) with a capacitor as output filter. The model provides dynamic information useful to calculate any voltage and current in the topology and design the feedback loop. If the extended describing function and the generalized averaging method are applied to the general equations of the topology, five non-linear differential equations are obtained. This five equations constitute the large signal model, which can be solved by numeric calculation or, simpler, with the aid of PSpice. To use PSpice, the large signal model of the topology is translated into an equivalent circuit. As the circuit contains all the information about dynamical behavior of the topology, large and small signal analysis can be carried out. In both cases, PSpice results have been experimentally verified. The paper can also be of use to implement the model in other simulation environments