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首页> 外文期刊>IEEE Transactions on Industrial Electronics >Nonlinear Modeling and Harmonic Analysis of Magnetic Resonant WPT System Based on Equivalent Small Parameter Method
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Nonlinear Modeling and Harmonic Analysis of Magnetic Resonant WPT System Based on Equivalent Small Parameter Method

机译：基于等效小参数法的磁共振WPT系统非线性建模与谐波分析

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摘要

The magnetic resonant wireless power transfer (WPT) system with a class E inverter has wide application in mid-range power transmission, especially for several megahertz scenario. However, it is cumbersome for the existing modeling and analysis methods to obtain the analytical solution to the system variables, which limits the evaluation of system characteristic. This paper proposes a nonlinear mathematical model for the WPT system with a class E inverter. The equivalent small parameter method (ESPM) is first adopted to solve the proposed six-order nonlinear model, and symbolic-form steady-state periodic solutions are yielded. During the whole solving process, only three iteration steps are needed for the proposed method. Compared with other existing modeling and analysis methods, the symbolic periodic results acquired by the ESPM exhibit sufficient accuracy by virtue of the combination of more higher harmonics. Meanwhile, the calculation complexity is simplified remarkably. Simulation and available experiments validate the effectiveness and accuracy of the proposed method.
机译：具有E类逆变器的磁共振无线电力传输（WPT）系统在中功率传输中具有广泛的应用，尤其是在几兆赫兹的情况下。然而，现有的建模和分析方法难以获得系统变量的解析解，这限制了系统特性的评估。本文提出了具有E类逆变器的WPT系统的非线性数学模型。首先采用等效小参数方法（ESPM）求解所提出的六阶非线性模型，并得出符号形式的稳态周期解。在整个求解过程中，该方法仅需要三个迭代步骤。与其他现有的建模和分析方法相比，ESPM所获得的符号周期结果凭借更多更高次谐波的组合表现出足够的准确性。同时，显着简化了计算复杂度。仿真和可用实验验证了该方法的有效性和准确性。

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