Synthesizing a Comprehensive Set of Converter Topologies for a Specified Voltage Gain

This paper presents a simple procedure to obtain a comprehensive set of non-isolated DC-DC converter topologies for the specified voltage gain expression. The proposed method utilizes the principle of inductor flux balance as a synthesis tool. The symmetries in the flux balance equations are identified and are used to obtain the complete set of unique converter topologies. The proposed method is applied to synthesize a comprehensive set quadratic boost topology. The total number of unique q-boost topologies is found to be eleven. The operation and feasibility of two novel topologies, identified by the proposed theory, are verified experimentally.