Harmonic Oscillation Source Identification and Stability Improvement Method for Multi-Infeed System of Grid-Connected Inverter
Gao Jiayuan1, Huang Shuai1, Zhan Runkun1, Jiang Fei1, Tu Chunming2
1. School of Electrical and Information Engineering Changsha University of Science and Technology Changsha 410004 China; 2. National Electric Power Conversion and Control Engineering Technology Research Center Hunan University Changsha 410082 China
Abstract:The large-scale integration of grid-connected inverters (GCI) into the power grid has formed a multi-infeed system, where GCI interactions are highly likely to induce harmonic oscillations, posing a threat to the stable operation of the entire system. Research on suppressing the system harmonic oscillation by adjusting the control loops of the multi-infeed GCI system has been widely conducted due to its reliable theoretical analysis and significant harmonic-oscillation-suppression effects. However, these methods often require adjustments to the control loops of each GCI, which is not practical for engineering implementation. Moreover, because the control structures and parameters of each GCI differ, it is challenging to determine which GCI should execute the control strategy or parameter adjustments. Therefore, this paper presents a novel method for identifying the source of harmonic oscillation in GCI. By considering key factors, such as the network structure of the multi-infeed system, line impedance, and grid impedance, a current-oscillation mode gain model is developed for the multi-infeed GCI system across a range of control parameter settings. The harmonic-oscillation characteristics are systematically analyzed, and the dominant harmonic-oscillation source is identified via participation factor calculations. Notably, the proposed modeling method addresses the challenge of identifying and locating harmonic oscillation sources. Subsequently, a stability-improving method for asymmetric impedance remodeling that combines suppression of the PLL positive feedback loop and q-axis phase compensation is proposed. It can adjust the control loop of the harmonic oscillation source to ensure that the harmonic source GCI maintains sufficient stability margin in the multi-feed system. In the case of grid impedance variation, theoretical analysis and RT-Lab experimental verification are conducted. The results show that when harmonic oscillation occurs in the system, the time-domain current waveform of the harmonic-oscillation source GCI, identified through theoretical analysis, exhibits higher harmonic distortion than that of other GCI. Meanwhile, the proposed asymmetric impedance remodeling method can effectively improve the adaptability range of the multi-feed system to grid impedance variations. Therefore, the stability of the multi-feed system has been significantly enhanced. The following conclusions are drawn. (1) The constructed current oscillation mode gain model incorporates the coupling characteristics of the grid structure and the control characteristics of the GCI, laying a model foundation for the reliable identification of harmonic oscillation sources. (2) When the harmonic oscillation occurs in the multi-feed GCI system, the identification of the harmonic oscillation source provides a selected GCI for the design of harmonic oscillation suppression strategies in the multi-feed system. (3) For the identified harmonic oscillation source, an asymmetric impedance reshaping stability improvement method is proposed via the PLL positive feedback loop suppression and q-axis phase compensation, effectively suppressing the harmonic oscillations and enhancing the stability of the multi-feed GCI system.
[1] 孙秋野, 于潇寒, 王靖傲. “双高”配电系统的挑战与应对措施探讨[J]. 中国电机工程学报, 2024, 44(18): 7115-7136. Sun Qiuye, Yu Xiaohan, Wang Jing’ao.Discussion on challenges and countermeasures of “double high” power distribution system[J]. Proceedings of the CSEE, 2024, 44(18): 7115-7136. [2] 陈宇飞, 陶天越. 提升三相并网逆变器稳定性的阻抗优化控制策略[J]. 电气技术, 2025, 26(4): 20-28. Chen Yufei, Tao Tianyue.An impedance optimization control strategy for enhancing the stability of three-phase grid-connected inverters[J]. Electrical Engineering, 2025, 26(4): 20-28. [3] 张祥宇, 邵孜建, 付媛. 风储并网发电系统的虚拟多段协同调速与频率安全支撑技术[J]. 电工技术学报, 2025, 40(15): 4677-4693. Zhang Xiangyu, Shao Zijian, Fu Yuan.Virtual multi-stage coordinated speed regulation and frequency safety support technology of wind-storage grid-connected power generation system[J]. Transactions of China Electrotechnical Society, 2025, 40(15): 4677-4693. [4] Perić L S, Levi E, Vukosavić S N.Compound feedback for current-controlled grid-side inverters with LCL filters[J]. IEEE Transactions on Power Electronics, 2024, 40(2): 3005-3019. [5] 张洪亮, 张子成, 陈杰, 等. 自适应三次谐波注入的回接型LCL光伏逆变器共模谐振电流抑制方法[J]. 电工技术学报, 2023, 38(1): 220-233. Zhang Hongliang, Zhang Zicheng, Chen Jie, et al.Common-mode resonant current suppression for back-connected LCL photovoltaic inverter using adaptive third harmonic injection[J]. Transactions of China Electrotechnical Society, 2023, 38(1): 220-233. [6] 王颖杰, 刘涵, 张箫, 等. 多逆变器交流分布式并联系统谐波交互分析方法[J]. 电力系统自动化, 2025, 49(5): 164-175. Wang Yingjie, Liu Han, Zhang Xiao, et al.Harmonic interaction analysis method for AC distributed parallel system with multiple inverters[J]. Automation of Electric Power Systems, 2025, 49(5): 164-175. [7] 陈新, 张旸, 王赟程. 基于阻抗分析法研究光伏并网逆变器与电网的动态交互影响[J]. 中国电机工程学报, 2014, 34(27): 4559-4567. Chen Xin, Zhang Yang, Wang Yuncheng.A study of dynamic interaction between PV grid-connected inverters and grid based on the impedance analysis method[J]. Proceedings of the CSEE, 2014, 34(27): 4559-4567. [8] 李强, 孙鹏菊, 董光德, 等. 基于模态分析的多逆变器系统串并联谐振特性分析[J]. 中国电机工程学报, 2024, 44(13): 5269-5281. Li Qiang, Sun Pengju, Dong Guangde, et al.Series-parallel resonance analysis of multi-inverter system based on modal analysis[J]. Proceedings of the CSEE, 2024, 44(13): 5269-5281. [9] Cao Wenchao, Ma Yiwei, Yang Liu, et al.D-Q impedance based stability analysis and parameter design of three-phase inverter-based AC power systems[J]. IEEE Transactions on Industrial Elec-tronics, 2017, 64(7): 6017-6028. [10] 林鸿彬, 葛平娟, 徐海亮, 等. 异构逆变器并联系统改进Gershgorin圆稳定性判据及其多维谐振特性分析[J]. 电工技术学报, 2024, 39(8): 2265-2280. Lin Hongbin, Ge Pingjuan, Xu Hailiang, et al.Improved Gershgorin-circle stability criterion and multi-dimensional resonance characteristics analysis for heterogeneous inverter paralleled system[J]. Transactions of China Electrotechnical Society, 2024, 39(8): 2265-2280. [11] Li Yitong, Gu Yunjie, Green T C.Mapping of dynamics between mechanical and electrical ports in SG-IBR composite grids[J]. IEEE Transactions on Power Systems, 2022, 37(5): 3423-3433. [12] Gu Yunjie, Li Yitong, Zhu Yue, et al.Impedance-based whole-system modeling for a composite grid via embedding of frame dynamics[J]. IEEE Transa-ctions on Power Systems, 2020, 36(1): 336-345. [13] 李戎, 李建文, 李永刚, 等. 结合特征根及模态分析法的逆变器多机并网系统谐波扰动响应分析[J]. 电工技术学报, 2024, 39(14): 4519-4534. Li Rong, Li Jianwen, Li Yonggang, et al.Analysis of harmonic disturbance response of multi-inverter grid-connected system combining characteristic root and modal analysis method[J]. Transactions of China Electrotechnical Society, 2024, 39(14): 4519-4534. [14] Lu Minghui, Wang Xiongfei, Loh P C, et al.Resonance interaction of multiparallel grid-connected inverters with LCL filter[J]. IEEE Transactions on Power Electronics, 2016, 32(2): 894-899. [15] 陈林, 徐永海, 王天泽, 等. 弱电网下计及背景谐波的多并网逆变器阻抗重塑谐振抑制方法[J]. 电力系统保护与控制, 2024, 52(1): 59-72. Chen Lin, Xu Yonghai, Wang Tianze, et al.Resonance suppression method for multiple grid-connected inverters with impedance remodeling with back-ground harmonics in a weak power grid[J]. Power System Protection and Control, 2024, 52(1): 59-72. [16] 刘洋, 帅智康, 李杨, 等. 多逆变器并网系统谐波谐振模态分析[J]. 中国电机工程学报, 2017, 37(14): 4156-4164, 4295. Liu Yang, Shuai Zhikang, Li Yang, et al.Harmonic resonance modal analysis of multi-inverter grid-connected systems[J]. Proceedings of the CSEE, 2017, 37(14): 4156-4164, 4295. [17] Hong Lucheng, Shu Wantao, Wang Jianhua, et al.Harmonic resonance investigation of a multi-inverter grid-connected system using resonance modal analysis[J]. IEEE Transactions on Power Delivery, 2019, 34(1): 63-72. [18] 刘欣, 吴柳颖, 贾焦心, 等. 多变流器并网系统的SISO dq阻抗稳定性判据及闭环极点灵敏度分析[J]. 电工技术学报, 2025, 40(11): 3427-3445. Liu Xin, Wu Liuying, Jia Jiaoxin, et al.SISO dq impedance stability criterion and closed-loop pole sensitivity analysis of multi-converter grid-connected system[J]. Transactions of China Electrotechnical Society, 2025, 40(11): 3427-3445. [19] Narendra Babu Y, Padhy N P.An approach to improve harmonic attenuation and stability perfor-mance in multi-parallel inverter system[J]. IEEE Transactions on Power Delivery, 2023, 38(5): 3634-3646. [20] Liu Jiang, Sun Xiangdong, Chen Zechi, et al.A hybrid multiresonances suppression method for nonsynchronous LCL-type grid-connected inverter clusters under weak grid[J]. IEEE Transactions on Power Electronics, 2024, 39(5): 5386-5399. [21] Ali Azghandi M, Barakati S M, Yazdani A.Passivity-based design of a fractional-order virtual capacitor for active damping of multiparalleled grid-connected current-source inverters[J]. IEEE Transactions on Power Electronics, 2022, 37(7): 7809-7818. [22] Khajeh K G, Solatialkaran D, Zare F, et al.A harmonic mitigation technique for multi-parallel grid-connected inverters in distribution networks[J]. IEEE Transactions on Power Delivery, 2022, 37(4): 2843-2856. [23] Tu Chunming, Gao Jiayuan, Xiao Fan, et al.Stability analysis of the grid-connected inverter considering the asymmetric positive-feedback loops introduced by the PLL in weak grids[J]. IEEE Transactions on Industrial Electronics, 2021, 69(6): 5793-5802.