Abstract:The wireless power transmission system has the characteristics of high level, nonlinearity, and strong coupling. To describe the dynamic response of the WPT system accurately to realize the optimal design and analysis of the control system, the report takes the LCL-S circuit topology as a research subject. Firstly, the large-signal model of the WPT system is obtained by the generalized state-space average modelling method. On the basis to establish a high-level small-signal model of the system. Also, Laguerre's expansion and balancing realization were used to reduce the level of the high-level small-signal model to obtain the low-order model and to simplify the design of the system controller. So, the third level was reduced by the eleventh level system. Simulation and experimental results show that the level-reduced system and full-level system have a similar dynamic response and small disturbance stability, which verifies the effectiveness and accuracy of the level-reduced model. And it builds a model foundation for the design of the WPT control system.
程志远, 邵会文, 陈坤, 眭清洋, 李东东. 无线电能传输系统小信号模型降阶研究[J]. 电工技术学报, 2021, 36(24): 5143-5152.
Cheng Zhiyuan, Shao Huiwen, Chen Kun, Sui Qingyang, Li Dongdong. Research on Order Reduction of Small Signal Model of Wireless Power Transmission System. Transactions of China Electrotechnical Society, 2021, 36(24): 5143-5152.
[1] 薛明, 杨庆新, 章鹏程, 等. 无线电能传输技术应用研究现状与关键问题[J]. 电工技术学报, 2021, 36(8): 1547-1568. Xue Ming, Yang Qingxin, Zhang Pengcheng, et al.Application status and key issues of wireless power transmission technology[J]. Transactions of China Electrotechnical Society, 2021, 36(8): 1547-1568. [2] 范兴明, 高琳琳, 莫小勇, 等. 无线电能传输技术的研究现状与应用综述(英文)[J]. 电工技术学报, 2019, 34(7): 1353-1380. Fan Xingming, Gao Linlin, Mo Xiaoyong, et al.Overview of research status and application of wireless power transmission technology[J]. Transa- ctions of China Electrotechnical Society, 2019, 34(7): 1353-1380. [3] 张献, 任年振, 杨庆新, 等. 电动汽车无线充电自整定控制[J]. 电工技术学报, 2020, 35(23): 4825-4834. Zhang Xian, Ren Nianzhen, Yang Qingxin, et al.Research on self-tuning control strategy of wireless charging for electric vehicles[J]. Transactions of China Electrotechnical Society, 2020, 35(23): 4825-4834. [4] Zhen Z, Pang H, Georgiadis A, et al.Wireless power transfer—an overview[J]. IEEE Transactions on Industrial Electronics, 2018, 66(2): 1044-1058. [5] 蔡春伟, 武帅, 张言语, 等. 基于弧形线圈结构的无线充电系统能量传输与控制[J]. 电工技术学报, 2020, 35(14): 2959-2968. Cai Chunwei, Wu Shuai, Zhang Yanyu, et al.Power transfer and control of wireless charging system based on an arc coil structure[J]. Transactions of China Electrotechnical Society, 2020, 35(14): 2959-2968. [6] 卿晓东, 苏玉刚. 电场耦合无线电能传输技术综述[J]. 电工技术学报, 2021, 36(17): 3649-3663. Qing Xiaodong, Su Yugang.An overview of electric- filed coupling wireless power transfer technology[J]. Transactions of China Electrotechnical Society, 2021, 36(17): 3649-3663. [7] 代云中, 何凯瑞, 杜程茂, 等. LC滤波H6结构逆变器离散模型简化与动力学行为[J]. 高电压技术, 2017, 43(10): 3313-3321. Dai Yunzhong, He Kairui, Du Chengmao, et al.Discrete model simplification and dynamic behavior of LC-filter-based inverter with H6 type[J]. High Voltage Engineering, 2017, 43(10): 3313-3321. [8] Hu A P.Modeling a contactless power supply using GSSA method[C]//Proceedings of the 2009 IEEE International Conference on Industrial Technology, Churchill, VIC, Australlia, 2009: 10-13. [9] Zahid Z U, Dalala Z M, Cong Z.Modeling and control of series-series compensated inductive power transfer system[J]. IEEE Journal of Emerging and Selected Topics in Power Electronics, 2015, 3(1): 111-123. [10] Huang Zhicong, Wong Siu-Chung, Tse C K.Control design for optimizing efficiency in inductive power transfer systems[J]. IEEE Transactions on Power Electronics, 2017, 33(5): 4523-4534. [11] 李鹏, 于浩, 王成山, 等. 基于Krylov子空间的大规模配电网络模型整体化简方法[J]. 电网技术, 2013, 37(8): 2343-2348. Li Peng, Yu Hao, Wang Chengshan, et al.Model order reduction of large scale distribution grid based on Krylov subspace method[J]. Power System Tech- nology, 2013, 37(8): 2343-2348. [12] 张喆, 赵洪山, 李志为, 等. 平衡格莱姆方法在电力系统线性模型降阶中的应用[J]. 电工技术学报, 2013, 28(6): 201-207. Zhang Zhe, Zhao Hongshan, Li Zhiwei, et al.Power system linear model reduction based on the balanced gramian method[J]. Transactions of China Electrote- chnical Society, 2013, 28(6): 201-207. [13] 李正, 郝全睿, 尹晓东, 等. 模块化多电平换流器的降阶小信号模型研究[J]. 中国电机工程学报, 2018, 38(12): 3638-3650. Li Zheng, Hao Quanrui, Yin Xiaodong, et al.Research on reduced-order small-signal model of modular multilevel converter[J]. Proceedings of the CSEE, 2018, 38(12): 3638-3650. [14] Aditya K, Williamson S S.Simplified mathematical modelling of phase-shift controlled series-series compensated inductive power transfer system[C]//2016 IEEE 25th International Symposium on Indu- strial Electronics (ISIE), Santa Clara, CA, USA, 2016: 8-10. [15] Li Hongchang, Wang Kangping, Huang Lang, et al.Dynamic modeling based on coupled modes for wireless power transfer systems[J]. IEEE Transa- ctions on Power Electronics, 2015, 30(11): 6245-6253. [16] Feng H, Lukic S M.Reduced-order modeling and design of single stage LCL compensated IPT system for low voltage vehicle charging applications[J]. IEEE Transactions on Vehicular Technology, 2020, 69(4): 3728-3739. [17] Zahid Z U, Dalala Z M, Cong Z, et al.Modeling and control of series-series compensated inductive power transfer system[J]. IEEE Journal of Emerging & Selected Topics in Power Electronics, 2015, 3(1): 111-123. [18] Sanders S R, Noworolski J M.Generalized averaging method for power conversion circuits[J]. IEEE Transactions on Power Electronics, 1991, 6(2): 251-259. [19] Borage M, Tiwari S, Kotaiah S.Analysis and design of an LCL-T resonant converter as a constant-current power supply[J]. IEEE Transactions on Industrial Electronics, 2005, 52(6): 1547-1554. [20] Moore B.Principal component analysis in linear systems: controllability, observability, and model reduction[J]. IEEE Transactions on Automatic Control, 1981, 26(1): 17-32. [21] Chang W, Smith R C.Model reduction based on modal Hankel singular values[J]. International Society for Optics and Photonics, 2004, 5383: 433-444. [22] Moore G.Orthogonal polynomial expansions for the matrix exponential[J]. Linear Algebra and Its Appli- cations, 2011, 435(3): 537-559.