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2026-09-30
Hybrid Physics-Machine Learning Framework for Joint 3-DOF Misalignment Compensation via Matching-Network Retuning in Magnetically Coupled Resonant Wireless Power Transfer
By
Progress In Electromagnetics Research C, Vol. 173, 367-375, 2026
Abstract
Magnetically Coupled Resonant (MCR) Wireless Power Transfer (WPT) systems suffer power-transfer efficiency (PTE) degradation due to misalignment of the transmitter/receiver coil pair across multiple degrees of freedom (DOF) simultaneously. Previous methods track lateral offset or rotational drift individually; none have reported correcting combined lateral, vertical, and angular misalignment in real time. The proposed hybrid physics-machine learning model combines an analytical model for a mutual-inductance circuit with a trained feedforward-network (FFN) residual-correction layer to estimate the state of the matching network that produces a maximum PTE when there is simultaneous 3-DOF misalignment. The method is evaluated for a representative 6.78 MHz, 3-turn, 40 mm-diameter coil pair, using a numerical electromagnetic model (Neumann-integral mutual inductance evaluation), and an exact model of a series-series (S-S) resonant circuit. The value of the nonlinear cross coupling term between lateral and tilt that is neglected by a separable analytical model increases by ~18% to 79% of the true value of the mutual inductance as misalignment increases, and the value of a learned correction increases strongly with the size of the disturbance. Similarly, the single axis baseline has an average efficiency gap from the optimal (1.30 percentage points), which is only 49% closed by using the extended analytical model, and 89% closed with the trained residual layer. The shallow FFN is shown to be better for this correction than the degree-2 polynomial ridge regressor in an ablation. It is also observed that the carrier-frequency retuning has a very small impact on the efficiency in this topology, with the state of the matching network being the major lever. A warning, however, is that the correction may sometimes make the worst-case deficit worse at the corners of the envelope where there are fewer samples, meaning that the samples have to be denser, or an extrapolation safeguard needs to be included before deployment.
Citation
Gundapaneni Srilatha, Bikkina Siva Chakra Avinash, Pendurthy Anthony Sunny Dayal, Manumula Srinubabu, Manikonda Venkateswara Rao, and Rangarao Orugu, "Hybrid Physics-Machine Learning Framework for Joint 3-DOF Misalignment Compensation via Matching-Network Retuning in Magnetically Coupled Resonant Wireless Power Transfer," Progress In Electromagnetics Research C, Vol. 173, 367-375, 2026.
doi:10.2528/PIERC26072402
References

1. Kurs, Andre, Aristeidis Karalis, Robert Moffatt, J. D. Joannopoulos, Peter Fisher, and Marin Soljačić, "Wireless power transfer via strongly coupled magnetic resonances," Science, Vol. 317, No. 5834, 83-86, 2007.
doi:10.1126/science.1143254        Google Scholar

2. Karalis, Aristeidis, J. D. Joannopoulos, and Marin Soljačić, "Efficient wireless non-radiative mid-range energy transfer," Annals of Physics, Vol. 323, No. 1, 34-48, 2008.
doi:10.1016/j.aop.2007.04.017        Google Scholar

3. Li, Junjun, Jialin Zou, Yao Zou, and Zhongqi Li, "Study on frequency splitting and segmented tracking for high-performance WPT under horizontal offset," Progress In Electromagnetics Research C, Vol. 170, 57-65, 2026.
doi:10.2528/pierc26032006        Google Scholar

4. Wan, Xiaobo, Junwu Jiang, and Baoquan Liu, "Optimization study on misalignment tolerance of a wireless power transfer system with double-layer vertical DD coils," Wireless Power Transfer, Vol. 12, No. 1, e025, 2025.
doi:10.48130/wpt-0025-0022        Google Scholar

5. Dai, Zhongyu, Mengze Li, Haoran Xu, Mengrui Ji, and Lei Zhang, "Strong misalignment tolerance wireless power transfer with active adjustment of magnetic shielding," AIP Advances, Vol. 14, No. 1, 015320, 2024.
doi:10.1063/5.0186819        Google Scholar

6. Zhang, Hailong, Yafei Chen, Dong-Hee Kim, Zhen Li, Min Zhang, and Guangyao Li, "Variable inductor control for misalignment tolerance and constant current/voltage charging in inductive power transfer system," IEEE Journal of Emerging and Selected Topics in Power Electronics, Vol. 11, No. 4, 4563-4573, 2023.
doi:10.1109/jestpe.2023.3281891        Google Scholar

7. Yenil, Veli, "A wireless power transfer system with high misalignment tolerance based on dual side variable inductor control," IEEE Access, Vol. 12, 134937-134947, 2024.
doi:10.1109/access.2024.3462849        Google Scholar

8. Song, Kai, Yu Lan, Ruizhi Wei, Guang Yang, Fengshuo Yang, Weihan Li, Jinhai Jiang, Chunbo Zhu, and Yunwei Li, "A control strategy for wireless EV charging system to improve weak coupling output based on variable inductor and capacitor," IEEE Transactions on Power Electronics, Vol. 37, No. 10, 12853-12864, 2022.
doi:10.1109/tpel.2022.3175936        Google Scholar

9. Assawaworrarit, Sid, Xiaofang Yu, and Shanhui Fan, "Robust wireless power transfer using a nonlinear parity-time-symmetric circuit," Nature, Vol. 546, No. 7658, 387-390, 2017.
doi:10.1038/nature22404        Google Scholar

10. Zhou, Jiali, Bo Zhang, Wenxun Xiao, Dongyuan Qiu, and Yanfeng Chen, "Nonlinear parity-time-symmetric model for constant efficiency wireless power transfer: Application to a drone-in-flight wireless charging platform," IEEE Transactions on Industrial Electronics, Vol. 66, No. 5, 4097-4107, 2019.
doi:10.1109/tie.2018.2864515        Google Scholar

11. Jeong, Soyeon, Tong-Hong Lin, and Manos M. Tentzeris, "Range-adaptive impedance matching of wireless power transfer system using a machine learning strategy based on neural networks," 2019 IEEE MTT-S International Microwave Symposium (IMS), 1423-1425, Boston, MA, USA, 2019.
doi:10.1109/MWSYM.2019.8700996

12. Li, Yang, Weihao Dong, Qingxin Yang, Jingtai Zhao, Liu Liu, and Shaojie Feng, "An automatic impedance matching method based on the feedforward-backpropagation neural network for a WPT system," IEEE Transactions on Industrial Electronics, Vol. 66, No. 5, 3963-3972, 2019.
doi:10.1109/tie.2018.2835410        Google Scholar

13. Beh, Teck Chuan, Masaki Kato, Takehiro Imura, Sehoon Oh, and Yoichi Hori, "Automated impedance matching system for robust wireless power transfer via magnetic resonance coupling," IEEE Transactions on Industrial Electronics, Vol. 60, No. 9, 3689-3698, 2013.
doi:10.1109/tie.2012.2206337        Google Scholar

14. Park, Byung-Chul and Jeong-Hae Lee, "Adaptive impedance matching of wireless power transmission using multi-loop feed with single operating frequency," IEEE Transactions on Antennas and Propagation, Vol. 62, No. 5, 2851-2856, 2014.
doi:10.1109/TAP.2014.2307340        Google Scholar

15. Shan, Tao, Jinhong Zeng, Xiaoqian Song, Rui Guo, Maokun Li, Fan Yang, and Shenheng Xu, "Physics-informed supervised residual learning for electromagnetic modeling," IEEE Transactions on Antennas and Propagation, Vol. 71, No. 4, 3393-3407, 2023.
doi:10.1109/tap.2023.3245281        Google Scholar

16. Lim, Taejun, Jaemin Lee, and Yongshik Lee, "Tunable coil-links for multiple-receiver wireless power transfer system with arbitrary position and power division," IEEE Access, Vol. 10, 96862-96872, 2022.
doi:10.1109/access.2022.3205932        Google Scholar

17. Xiao, Wenxun, Ruigeng Shen, Bo Zhang, Dongyuan Qiu, Yanfeng Chen, and Fan Xie, "Multiple parameters estimation based on transmitter side information in wireless power transfer system," IEEE Access, Vol. 7, 164835-164843, 2019.
doi:10.1109/access.2019.2952378        Google Scholar

18. Babic, Slobodan, Frederic Sirois, and Cevdet Akyel, "Validity check of mutual inductance formulas for circular filaments with lateral and angular misalignments," Progress In Electromagnetics Research M, Vol. 8, 15-26, 2009.
doi:10.2528/pierm09060105        Google Scholar

19. Zhang, Xian, Hao Meng, Bin Wei, Songcen Wang, and Qingxin Yang, "Mutual inductance calculation for coils with misalignment in wireless power transfer," The Journal of Engineering, Vol. 2019, No. 16, 1041-1044, 2019.
doi:10.1049/joe.2018.8670        Google Scholar

20. Liu, Yining, Nam Ha-Van, Prasad Jayathurathnage, Jorma Kyyrä, and Sergei A. Tretyakov, "Design and performance analysis of a repeater-assisted multireceiver wireless power transfer system operating at MHz frequencies," IEEE Open Journal of the Industrial Electronics Society, Vol. 4, 773-785, 2024.
doi:10.1109/ojies.2024.3349556        Google Scholar