Topology Derivation Method of DC/DC Converter With Wide Third-Order Voltage Conversion Ratio

This paper introduces a method for deducing the topology of a DC/DC converter with wide third-order voltage conversion ratio. Initially, two sets of parameters are proposed to describe the topology based on the volt-second balance equations, and the coefficients of the voltage conversion ratio in terms of these parameters are derived. Subsequently, parameter constraints, such as avoiding input or output disconnection, are proposed to ensure the validity of the converter topology. Finally, a fitness function related to voltage conversion ratio coefficients and parameter constraints is developed. Genetic Algorithm is applied to obtain a solution with optimal parameters, resulting in the optimal converter topology. The methodology is demonstrated by using examples of the third-order boost converter (TOBCT) and the third-order buck converter (TOBCKT). The effectiveness of the proposed method is validated through circuit simulations and experiments, confirming that the designed converter meets the specified voltage conversion ratio requirements.