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Modeling and Stability Analysis of Multiple Grid-connected-converter System Based on Harmonic State Space
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Yuxi WAN  Student Member, CPSS1, Yin LI2, Shunfu LIN1
Journal of Power Supply | 2025, 23(3) : 4 - 14
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Journal of Power Supply | 2025, 23(3): 4-14
• Special Issue on Analysis and Control of Power Quality in New Power Systems •
Modeling and Stability Analysis of Multiple Grid-connected-converter System Based on Harmonic State Space
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Yuxi WAN  Student Member, CPSS1, Yin LI2, Shunfu LIN1
Affiliations
  • 1.College of Electrical Engineering, Shanghai University of Electric Power, Shanghai 200090, China
  • 2.Pudong Power Supply Company, State Grid Shanghai Municipal Electric Power Company, Shanghai 200120, China
Published: 2025-05-30 doi: 10.13234/j.issn.2095-2805.2025.3.4
Outline
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To address the power quality issues in a multiple grid-connected-converter system (MGCCS) for renewable energy, the series and parallel models of MGCCS are established at first based on the harmonic state space (HSS) method. The HSS models account for high-frequency components during the switching process, with its internal Toeplitz matrix effectively capturing the harmonic coupling within the converters. Based on the series and parallel HSS models of MGCCS, a virtual resistor is introduced to improve the model, and the impact of grid impedance is considered to simulate the multi-converter grid-connected system. In addition, the harmonic stability of this system is investigated by analyzing the eigenvalues of the state matrix. The influences of main circuit and controller parameters on the harmonic instability are analyzed in depth, and the oscillation frequencies in harmonic instability modes are predicted. Simulation results based on MATLAB/Simulink and RT-LAB experimental results validate the accuracy of the improved HSS models and the harmonic stability analysis.

Multiple grid-connected-converter system (MGCCS)  /  harmonic state space (HSS)  /  harmonic stability  /  harmonic interaction
万钰锡中国电源学会学生会员, 李寅, 林顺富. 基于谐波状态空间多变流器并网系统建模及稳定性分析. 电源学报, 2025 , 23 (3) : 4 -14 . DOI: 10.13234/j.issn.2095-2805.2025.3.4
Yuxi WAN, Yin LI, Shunfu LIN. Modeling and Stability Analysis of Multiple Grid-connected-converter System Based on Harmonic State Space[J]. Journal of Power Supply, 2025 , 23 (3) : 4 -14 . DOI: 10.13234/j.issn.2095-2805.2025.3.4
Funding
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  • National Natural Science Foundation of China(51977127)
  • Shanghai Municipal Education Commission "Shuguang Program"(20SG52)
Appendix
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Year 2025 volume 23 Issue 3
64
7
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Article Info
doi: 10.13234/j.issn.2095-2805.2025.3.4
  • Receive Date：2024-11-28
  • Online Date：2026-10-26
  • Published：2025-05-30
Article Data
Affiliations
History
  • Received：2024-11-28
  • Revised：2025-02-25
  • Accepted：2025-03-14
Funding
National Natural Science Foundation of China(51977127)
Shanghai Municipal Education Commission "Shuguang Program"(20SG52)
Affiliations
    1.College of Electrical Engineering, Shanghai University of Electric Power, Shanghai 200090, China
    2.Pudong Power Supply Company, State Grid Shanghai Municipal Electric Power Company, Shanghai 200120, China
References
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Citations
表12种不同金属材料的力学参数
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小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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