1. College of physics and Optoelectronic Engineering Shenzhen University Shenzhen 518060 China; 2. School of Automotive and Transportation Engineering Shenzhen Polytechnic Shenzhen 518055 China
Abstract:Dynamic wireless power transfer (DWPT) technique is helpful to reduce electric vehicle drivers' range anxiety and save charging time because it can charge an electric vehicle in motion. However, output power of the DWPT system fluctuates dramatically and frequently due to random coil misalignment and mutual inductance change in an adjacent coil region. Therefore, an accurate and rapid controller is highly expected to stabilize the output power of the system. Some control algorithms, such as PI control, μ control, model predictive control (MPC), have been introduced for this goal. Nevertheless, they are difficult to meet the requirements on rapid response and low complexity simultaneously. To this end, this paper proposes a constant current control strategy for an LCC-S compensated DWPT system by combining a Kalman filter (KF) and a MPC controller. A Buck converter is introduced on the secondary side to regulate the output power. Firstly, the state-space model of the Buck converter is established by analyzing its work mode. Secondly, a MPC controller is developed for determining the duty ratio of the Buck converter. Thirdly, a Kalman filter is designed to estimate state variables of the Buck converter (i.e., capacitor voltage and inductor current), instead of measuring them using sensors, thus reducing hardware complexity and cost. Finally, simulation in Matlab/Simulink and experiments on STM32F334 are carried out to demonstrate the effectiveness of the proposed method. Also, the proposed method is compared with the traditional PI controller. Simulation and experimental results show that the Kalman filter is able to estimate the state variables of the Buck converter accurately, which is the base for implementing the MPC controller. In the STM32F334 processor, the proposed KF-MPC requires a longer computation time (153 μs) than the PI controller (22 μs). However, the KF-MPC performs better significantly in respond speed because it needs much less total control cycles than the PI controller. Particularly, the KF-MPC just takes about 15 ms, while the PI controller takes about 2.2 s to track a new reference current. As the input voltage of the Buck converter changes due to coil misalignment, the KF-MPC can always keep the output current constant, while the PI controller takes about 3 s to recover the reference output current. When the load suddenly changes from 20 Ω to 15 Ω, and from 15 Ω to 25 Ω, the KF-MPC controller only takes 10 ms, while the PI controller takes about 1.4 s in average to recover the output current. In addition, both the KF-MPC and PI controllers do not influence the system efficiency obviously. The KF-MPC performs can work stably in a wide range of parameter value, which is valuable for practical applications. Conclusions of the paper can be summarized as follows: (1) Although the KF-MPC controller requires a longer computation time than the PI controller, it performs a faster respond speed due to the significant reduction in the total control cycle. (2) The proposed KF-MPC only needs to measure the load current for implementing the MPC for the Buck converter, so it is more practical than traditional MPC controller, which needs more measurements. (3) The proposed KF-MPC controller performs extremely high robustness to mutual inductance change, and it does not depend on the communication between the primary side and the secondary side.
田勇, 冯华逸, 田劲东, 向利娟. 电动汽车动态无线充电系统输出电流模型预测控制[J]. 电工技术学报, 2023, 38(9): 2310-2322.
Tian Yong, Feng Huayi, Tian Jindong, Xiang Lijuan. Model Predictive Control for Output Current of Electric Vehicle Dynamic Wireless Charging Systems. Transactions of China Electrotechnical Society, 2023, 38(9): 2310-2322.
[1] Zhang Zhen, Pang Hongliang, Georgiadis A, et al.Wireless power transfer—an overview[J]. IEEE Transactions on Industrial Electronics, 2019, 66(2): 1044-1058. [2] 朱春波, 姜金海, 宋凯, 等. 电动汽车动态无线充电关键技术研究进展[J]. 电力系统自动化, 2017, 41(2): 60-65, 72. Zhu Chunbo, Jiang Jinhai, Song Kai, et al.Research progress of key technologies for dynamic wireless charging of electric vehicle[J]. Automation of Electric Power Systems, 2017, 41(2): 60-65, 72. [3] Patil D, McDonough M K, Miller J M, et al. Wireless power transfer for vehicular applications: overview and challenges[J]. IEEE Transactions on Transportation Electrification, 2018, 4(1): 3-37. [4] 孙跃, 蒋成, 王智慧, 等. 基于PSGA的电动汽车动态无线供电系统优化布局[J]. 电力系统自动化, 2019, 43(9): 125-131. Sun Yue, Jiang Cheng, Wang Zhihui, et al.Optimal planning of dynamic wireless supply system for electric vehicles based on particle swarm genetic algorithm[J]. Automation of Electric Power Systems, 2019, 43(9): 125-131. [5] Dai Xin, Jiang Jincheng, Wu Jianqing.Charging area determining and power enhancement method for multiexcitation unit configuration of wirelessly dynamic charging EV system[J]. IEEE Transactions on Industrial Electronics, 2019, 66(5): 4086-4096. [6] 薛明, 王嘉浩, 杨庆新, 等. 电动汽车动态无线供电系统发射单元切换模式分析[J]. 电工技术学报, 2020, 35(12): 2517-2525. Xue Ming, Wang Jiahao, Yang Qingxin, et al.Analysis of transmitter unit switching mode in dynamic wireless charging for electric vehicles[J]. Transactions of China Electrotechnical Society, 2020, 35(12): 2517-2525. [7] Wang Chao, Zhu Chunbo, Wei Guo, et al.Design of compact three-phase receiver for meander-type dynamic wireless power transfer system[J]. IEEE Transactions on Power Electronics, 2020, 35(7): 6854-6866. [8] Li Yong, Hu Jiefeng, Lin Tianren, et al.A new coil structure and its optimization design with constant output voltage and constant output current for electric vehicle dynamic wireless charging[J]. IEEE Transactions on Industrial Informatics, 2019, 15(9): 5244-5256. [9] Li Shufan, Wang Lifang, Guo Yanjie, et al.Power stabilization with double transmitting coils and T-type compensation network for dynamic wireless charging of EV[J]. IEEE Journal of Emerging and Selected Topics in Power Electronics, 2020, 8(2): 1801-1812. [10] Zhou Shijie, Mi C C.Multi-paralleled LCC reactive power compensation networks and their tuning method for electric vehicle dynamic wireless charging[J]. IEEE Transactions on Industrial Electronics, 2016, 63(10): 6546-6556. [11] Farajizadeh F, Vilathgamuwa D M, Jovanovic D, et al.Expandable N-legged converter to drive closely spaced multitransmitter wireless power transfer systems for dynamic charging[J]. IEEE Transactions on Power Electronics, 2020, 35(4): 3794-3806. [12] 崔淑梅, 宋贝贝, 王志远. 电动汽车动态无线供电磁耦合机构研究综述[J]. 电工技术学报, 2022, 37(3): 537-554. Cui Shumei, Song Beibei, Wang Zhiyuan.Overview of magnetic coupler for electric vehicles dynamic wireless charging[J]. Transactions of China Electrotechnical Society, 2022, 37(3): 537-554. [13] Hao Hao, Covic G A, Boys J T.An approximate dynamic model of LCL-T-based inductive power transfer power supplies[J]. IEEE Transactions on Power Electronics, 2014, 29(10): 5554-5567. [14] Dai Xin, Li Xiaofei, Li Yanling, et al.Maximum efficiency tracking for wireless power transfer systems with dynamic coupling coefficient estimation[J]. IEEE Transactions on Power Electronics, 2018, 33(6): 5005-5015. [15] Xia Chenyang, Wang Wei, Ren Siyuan, et al.Robust control for inductively coupled power transfer systems with coil misalignment[J]. IEEE Transactions on Power Electronics, 2018, 33(9): 8110-8122. [16] 林天仁, 李勇, 麦瑞坤. 基于LCL-S拓扑的感应电能传输系统的建模与控制方法[J]. 电工技术学报, 2018, 33(1): 104-111. Lin Tianren, Li Yong, Mai Ruikun.Modeling and control method of inductive power transfer system based on LCL-S topology[J]. Transactions of China Electrotechnical Society, 2018, 33(1): 104-111. [17] 欧术培, 张海燕, 路燈杰. 电动汽车动态无线电能恒功率充电[J]. 电源技术, 2021, 45(4): 528-531. Ou Shupei, Zhang Haiyan, Lu Dengjie.Dynamic wireless power constant power charging of electric vehicle[J]. Chinese Journal of Power Sources, 2021, 45(4): 528-531. [18] Zhou Ze, Zhang Liyan, Liu Zhitao, et al.Model predictive control for the receiving-side DC-DC converter of dynamic wireless power transfer[J]. IEEE Transactions on Power Electronics, 2020, 35(9): 8985-8997. [19] 国玉刚, 崔纳新. LCC-S型无线电能传输系统优化配置及特性研究[J]. 电工技术学报, 2019, 34(18): 3723-3731. Guo Yugang, Cui Naxin.Research on optimal configuration and characteristics based on LCC-S type wireless power transfer system[J]. Transactions of China Electrotechnical Society, 2019, 34(18): 3723-3731. [20] 乐健, 廖小兵, 章琰天, 等. 电力系统分布式模型预测控制方法综述与展望[J]. 电力系统自动化, 2020, 44(23): 179-191. Le Jian, Liao Xiaobing, Zhang Yantian, et al.Review and prospect on distributed model predictive control method for power system[J]. Automation of Electric Power Systems, 2020, 44(23): 179-191. [21] Beccuti A G, Mariethoz S, Cliquennois S, et al.Explicit model predictive control of DC-DC switched-mode power supplies with extended Kalman filtering[J]. IEEE Transactions on Industrial Electronics, 2009, 56(6): 1864-1874. [22] Priewasser R, Agostinelli M, Unterrieder C, et al.Modeling, control, and implementation of DC-DC converters for variable frequency operation[J]. IEEE Transactions on Power Electronics, 2014, 29(1): 287-301. [23] Gu D W, Petkov P H, Konstantinov M M.Robust control design with MATLAB®[M]. 2nd ed. London: Springer, 2013. [24] 丛爽, 邓娟. MATLAB环境下的模型预测控制理论的应用[J]. 计算机工程与应用, 2005, 41(16): 196-198, 212. Cong Shuang, Deng Juan.Model predictive control theory and application under MATLAB environment[J]. Computer Engineering and Applications, 2005, 41(16): 196-198, 212. [25] 郝平, 张聚. 模型预测控制系统的低保守稳定性分析[J]. 清华大学学报(自然科学版), 2008, 48(增刊2): 1718-1722. Hao Ping, Zhang Ju.Stability analysis of a less conservative model predictive control system[J]. Journal of Tsinghua University (Science and Technology), 2008, 48(S2): 1718-1722. [26] 郑凯华, 何德峰, 鲍荣. 增量预测控制策略的稳定性分析[J]. 化工自动化及仪表, 2012, 39(11): 1414-1417, 1441. Zheng Kaihua, He Defeng, Bao Rong.Stability analysis of incremental predictive control scheme[J]. Control and Instruments in Chemical Industry, 2012, 39(11): 1414-1417, 1441. [27] Mayne D Q.Model predictive control: recent developments and future promise[J]. Automatica, 2014, 50(12): 2967-2986. [28] Han Xiaojuan, Liu Xingyu, Wang Hui.Dual-regulating feedback optimization control of distributed energy storage system in power smoothing scenariox based on KF-MPC[J]. IEEE Access, 2020, 8: 172601-172609. [29] Ramezani A, Farhangi S, Iman-Eini H, et al.Optimized LCC-series compensated resonant network for stationary wireless EV chargers[J]. IEEE Transactions on Industrial Electronics, 2019, 66(4): 2756-2765. [30] 田勇, 朱泽, 田劲东, 等. 基于LCC-S补偿的电动汽车动态无线充电系统拓扑参数优化[J]. 机械工程学报, 2021, 57(14): 150-159. Tian Yong, Zhu Ze, Tian Jindong, et al.Parameters optimization of electric vehicles dynamic wireless power transfer system based on LCC-S compensation topology[J]. Journal of Mechanical Engineering, 2021, 57(14): 150-159.