This article presents an analytical method to derive an optimum converter topology for a specified voltage conversion ratio (G). An optimum topology for any given G can be identified after obtaining the comprehensive pool of converter topologies. This gain-oriented converter synthesis is formulated as an inverse problem around the principle of inductor flux balance. A step-by-step method is proposed to solve the inverse problem and obtain a comprehensive set of non-redundant converter topologies for any given voltage conversion ratio. Consequently, the number of possible converter topologies for a specified voltage conversion ratio is also identified. The optimum converter topology is chosen from the comprehensive set based on three selection criteria, viz., ground-referenced output, a minimum number of switches, and minimum peak inductor current. The proposed solution methodology is illustrated with quadratic boost and quadratic buck gains as case studies. A comprehensive set of non-redundant topologies is identified in both cases. The steady-state operations of all the topologies are studied with PLECS simulation. Based on the selection criteria, an optimum topology is selected in each case, and their steady-state operation is verified experimentally using lab-developed prototypes.

中文翻译：

---

指定电压转换比的最佳转换器拓扑的综合


本文提出了一种分析方法，可针对指定的电压转换比 (G) 推导最佳转换器拓扑。在获得转换器拓扑的综合池后，可以确定任何给定 G 的最佳拓扑。这种面向增益的转换器综合被表述为围绕电感器磁通平衡原理的反问题。提出了一种逐步方法来解决逆问题，并针对任何给定的电压转换比获得一套全面的非冗余转换器拓扑。因此，还确定了特定电压转换比的可能转换器拓扑的数量。最佳转换器拓扑是根据三个选择标准从综合组中选择的，即接地参考输出、最少开关数量和最小峰值电感器电流。所提出的解决方案方法以二次升压和二次降压增益作为案例研究进行说明。在这两种情况下都确定了一套全面的非冗余拓扑。通过PLECS仿真研究了所有拓扑的稳态运行。根据选择标准，在每种情况下选择最佳拓扑，并使用实验室开发的原型对它们的稳态运行进行实验验证。