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| Mutual Inductance Calculation of Arbitrarily Positioned Rectangular Coils with Magnetic Shielding in Wireless Power Transfer Systems |
| Li Zhongqi1,2, Li Jing1, Quan Changhui3, Zhang Xueyi3, Huang Shoudao2 |
1.College of Transportation Engineering Hunan University of Technology Zhuzhou 412007 China;
2. College of Electrical and Information Engineering Hunan University Changsha 412008 China;
3. College of Electrical and Information Engineering Hunan University of Technology Zhuzhou 412007 China |
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Abstract Mutual inductance is a key parameter of the wireless power transfer (WPT) system. Themagnetic leakage can be reducedand the mutual inductance between coupling coils can be enhancedby adding the magnetic shielding for the electric vehicle. However, there is currently no method to calculate the mutual inductance between arbitrarily positioned rectangular coils with magnetic shielding. In this paper, the magnetic flux density of coils with magnetic shielding is derived by the Dual Fourier transform and Maxwell's equations. On this basis, the mutual inductance of two arbitrarily positioned rectangular coils is obtained by applying the spatial rectangular coordinate transformation method. The obtained method is different from the traditional approximate calculation method. It is an analytical method that can accurately numerically solve the mutual inductance between coils. Finally, the mutual inductance calculation formula is verified by two rectangular spiral coils with various position changes. The calculated results are in good agreement with the simulated and experimental results, which verifies the effectiveness of the proposed method.
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Received: 15 August 2021
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2022, Vol. 37 
