摘要：随着科技发展，越来越多的科研机构开始关注无线电力传输旨在去除电力传输中的最后一根线，同时电能作为一种清洁能源有时会受到有线方式带来的易磨损、布线复杂、线路老化等安全问题所制约，而无线供电方式能够实现供电灵活、没有复杂的供电线路解决了有线方式的不足，能够有效的推动电能在其他方面的广泛应用。

本文首先就电路互感耦合原理对磁耦合谐振供电系统进行了理论上的分析，详细分析了SS（串联-串联）谐振以及SP（串联-并联）谐振的工作原理，推导出等效电路以及所需的功率和效率表达式。利用MATLAB数值计算分析了具体参数，包括负载大小、耦合系数、输入电压以及工作频率对整个系统输出功率以及效率的具体影响。最终经过对比验证选择了SS补偿结构作为本系统的仿真模型。

然后利用AnsoftMaxwell电磁仿真软件，采用静磁场求解模式，构建简化的耦合平台模型，以锰锌铁氧体作为平板磁芯，对线圈的位置、磁芯的厚度、中孔大小等参数进行了详细的仿真研究，以指导具体耦合平台的制作。

使用MATLAB/Simulink创建模型并仿真，输入合理的参数设置得到期望的输出值，在理论上实现了整个系统的理想输出结果。同时对系统采用的整流模块、逆变电路以及缓冲电路作了简单说明。

关键词：磁场耦合；电路谐振；无线供电；电磁仿真

Abstract：With the development of science and technology, more and more scientific research institutions began to pay attention to the wireless power transmission, which is designed to remove the last line of power transmission, while energy as a clean energy will be subject to the constraints of cable, such as aging electric supply facilities and other security issues. Wireless power transmission will achieve flexible power supply, there is no complex power supply lines which solves the lack of cable. Wireless power transmission can effectively promote the wide range of other aspects of energy applications.

In this paper, the principle of mutual inductance coupling is used to analyze the magnetic coupling resonant power supply system. The working principle of SS (series-series) resonance and SP (series-parallel) resonance is analyzed in detail, and the equivalent circuit and the power and efficiency expressions are deduced. The specific parameters, including the size of the load, the coupling coefficient, the input voltage and the operating frequency which affect output power and efficiency of the whole system are analyzed by the MATLAB. Finally, the SS (series-series) compensation structure is selected as the simulation model of the system.

Then, using the electromagnetic simulation software of Ansoft Maxwell, the simplified model of the coupling platform was constructed by using the static magnetic field solution. The model take the Mn-Zn ferrite as the plate core, the parameters such as the position of the coil, the thickness of the core and the size of the core which affect Coupling coefficient are analyzed. The result will help to design the form of coupled platform.

Finally, we can use MATLAB/Simulink to create a model and simulate it. The reasonable output of the parameter is obtained by inputting reasonable parameters, and the ideal output of the whole system is realized theoretically. At the same time there is a brief description of the rectifier module, inverter circuit and the buffer circuit which the system used.

Keywords: Magnetic field coupling; circuit resonance; wireless power supply; electromagnetic simulation