In this paper, the feasibility of applying a multi-branch equivalent model employing first- and second-order Cauer circuits for the analysis of electromagnetic transducers used in systems of wireless power transfer is discussed. A method of formulating an equivalent model (EqM) is presented, and an example is shown for a wireless power transfer system (WPTS) consisting of an air transformer with field concentrators. A method is proposed to synthesize the EqM of the considered transducer based on the time-harmonic field model, an optimization algorithm employing the evolution strategy (ES) and the equivalent Cauer circuits. A comparative analysis of the performance of the considered WPTS under high-frequency voltage supply calculated using the proposed EqM and a 3D field model in the time domain using the finite element method (FEM) was carried out. The selected results of the conducted analysis are presented and discussed.

中文翻译：

---

多分支Cauer电路在无线传输电源系统中使用的电磁传感器分析中的应用。

在本文中，讨论了应用一阶和二阶Cauer电路的多分支等效模型来分析无线电力传输系统中使用的电磁换能器的可行性。提出了一种等效模型（EqM）的公式化方法，并给出了一个无线功率传输系统（WPTS）的示例，该系统由一个带有场集中器的空气变压器组成。提出了一种基于时谐场模型，考虑了演化策略（ES）的优化算法和等效的Cauer电路来综合考虑换能器的EqM的方法。使用有限元方法（FEM）对时域中使用建议的EqM和3D场模型计算的WPTS在高频电压下的性能进行了比较分析。