In this article, topology transformations of power converters are realized through the dual and isomorphic principles for both the planar and nonplanar circuits. The topology cycling phenomenon is discovered in the topology transformation process and investigated in the power electronics field for the first time. It fills the gap between the dual converter and isomorphic converter and reveals the fundamental relationships among various power converters (existing and/or future ones). By utilizing this new discovery, the operation analysis, modulation/control design, topology derivation can be facilitated in a more comprehensive way. Numerous examples with both theoretical and experimental verifications show the feasibility and versatility of this work.

中文翻译：

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使用对偶和同构原理的功率转换器拓扑转换

在本文中，通过平面和非平面电路的对偶和同构原理，实现了电源转换器的拓扑变换。拓扑循环现象是在拓扑转换过程中发现的，并首次在电力电子领域进行了研究。它填补了双转换器和同构转换器之间的空白，并揭示了各种功率转换器（现有和/或将来的）之间的基本关系。通过利用这一新发现，可以以更全面的方式促进操作分析，调制/控制设计，拓扑推导。大量带有理论和实验验证的例子表明了这项工作的可行性和多功能性。