In order to improve the voltage gain of boost converters,the number of boost inductors should be increased.A systematic method to derive the single-switch multi-inductor high gain boost converters is proposed in this paper by summarizing the construction rule of boost cell in five typical single-switch dual-inductor boost converters.This method is to replace the diodes in the switched-inductor with capacitors,and to prevent the voltage of boost inductors from being clamped by the capacitors.A family of single-switch triple-inductor high gain boost converters is derived based on this method.One topology in this family is selected as the example to analyze the working principles and steady state charac-teristics in detail.The correctness of the theoretical analysis is verified by a 300 W/100 kHz prototype.The results show that the proposed derivation method is feasible.
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