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2026-08-03
Optimal Configuration of ac Filters in Hybrid Multi-Infeed HVDC Systems Based on Sensitivity Analysis
By
Progress In Electromagnetics Research C, Vol. 172, 135-145, 2026
Abstract
To address the challenges of coordinating local reactive power compensation with cross-station harmonic interaction suppression in hybrid multi-infeed HVDC (HMIDC) systems, this study proposes an optimal AC filter configuration method based on sensitivity analysis. A harmonic impedance equivalent model was established for a hybrid three-infeed HVDC system, and a comprehensive harmonic interaction index was constructed based on harmonic current interaction influence coefficients. Normalized sensitivity analysis was then performed on the AC filter impedance, receiving-end AC system impedance, and tie-line impedance at the 11th and 13th harmonics. The results indicate that the AC filter impedance serves as the dominant adjustable factor. On this basis, a discrete optimization model was developed, with the number of DT11/24 and DT13/36 double-tuned filter groups in service as decision variables. In addition, this model considers equipment limits, minimum filtering requirements, reactive power compensation, and harmonic voltage constraints. Case study results show that the optimized configuration reduces the overall harmonic coupling among HVDC infeed systems; in particular, the interaction strength from the second conventional HVDC link to the modular multilevel converter-based high-voltage direct current (MMC-HVDC) link at the 13th harmonic decreases by approximately 32%. The proposed method provides a practical reference for coordinated AC filter switching in HMIDC.
Citation
Wenxing Sun, Lihua Liu, Weixi He, Xueliang Liu, Jiawen Lai, and Junju Lai, "Optimal Configuration of ac Filters in Hybrid Multi-Infeed HVDC Systems Based on Sensitivity Analysis," Progress In Electromagnetics Research C, Vol. 172, 135-145, 2026.
doi:10.2528/PIERC26060305
References

1. Rao, Hong, Chao Hong, Baorong Zhou, Dongqi Huang, Shukai Xu, Wenfeng Yao, et al. "Study on improvement of VSC-HVDC at inverter side of wudongde multi-terminal UHVDC for the problem of centralized multi-infeed HVDC," Southern Power System Technology, Vol. 11, No. 3, 1-5, 2017.
doi:10.13648/j.cnki.issn1674-0629.2017.03.001        Google Scholar

2. Dong, Z., G. Wang, Z. Xu, J. Li, and H. Ding, "Operation characteristic analysis method of Baihetan-Jiangsu hybrid cascaded UHVDC system," Electric Power Automation Equipment, Vol. 42, No. 6, 118-125, 2022.
doi:10.16081/j.epae.202203022        Google Scholar

3. Hu, L. and R. Yacamini, "Harmonic transfer through converters and HVDC links," IEEE Transactions on Power Electronics, Vol. 7, No. 3, 514-525, 1992.
doi:10.1109/63.145139        Google Scholar

4. Huang, He, Junpeng Ma, Shunliang Wang, Yuqing Dong, Ning Jiao, and Tianqi Liu, "Accurate analysis of harmonic transmission of line commutated converter considering firing angle fluctuation," IEEE Access, Vol. 8, 205206-205215, 2020.
doi:10.1109/access.2020.3037201        Google Scholar

5. Wang, Liang, Xi Zhang, Tiezhu Wang, and Zhen Wang, "Harmonic characteristics of LCC-HVDC under unbalanced conditions," 2023 IEEE International Symposium on Circuits and Systems (ISCAS), 1-5, Monterey, CA, USA, May 2023.
doi:10.1109/ISCAS46773.2023.10181772

6. Wang, S. L., Y. Xie, Yuan Zhao, et al. "Impedance modeling of 12-pulse converter station based on harmonic state space theory," Southern Power System Technology, Vol. 18, No. 6, 1-9, 2024.
doi:10.13648/j.cnki.issn1674-0629.2024.06.001        Google Scholar

7. Zhou, P., T. Q. Liu, S. L. Wang, J. Ma, and H. Zhang, "Small signal modeling of LCC-HVDC station with consideration of harmonic coupling characteristics," Power System Technology, Vol. 45, No. 1, 153-161, 2021.
doi:10.13335/j.1000-3673.pst.2020.0055a        Google Scholar

8. Li, Q., Q. Zhou, D. Zhang, et al. "A harmonic impedance scanning method of HVDC based on a test signal method," Power System Protection and Control, Vol. 49, No. 14, 168-175, 2021.
doi:10.19783/j.cnki.pspc.201176        Google Scholar

9. Wang, Gang, Zhi-Keng Li, Hai-Feng Li, Xiao-Lin Li, and Chuang Fu, "Calculation method of harmonic equivalent impedances of HVDC converter," Proceedings of the CSEE, Vol. 30, No. 19, 64-68, 2010.        Google Scholar

10. Riedel, P., "Harmonic voltage and current transfer, and AC-and DC-side impedances of HVDC converters," IEEE Transactions on Power Delivery, Vol. 20, No. 3, 2095-2099, 2005.
doi:10.1109/tpwrd.2005.848719        Google Scholar

11. Nian, Heng, Liang Chen, Yunyang Xu, Hongyang Huang, and Junchao Ma, "Sequences domain impedance modeling of three-phase grid-connected converter using harmonic transfer matrices," IEEE Transactions on Energy Conversion, Vol. 33, No. 2, 627-638, 2018.
doi:10.1109/tec.2017.2761791        Google Scholar

12. Sun, Jian and Hanchao Liu, "Sequence impedance modeling of modular multilevel converters," IEEE Journal of Emerging and Selected Topics in Power Electronics, Vol. 5, No. 4, 1427-1443, 2017.
doi:10.1109/jestpe.2017.2762408        Google Scholar

13. Chen, Yin, Lie Xu, Agustí Egea-Àlvarez, Benjamin Marshall, Md. Habibur Rahman, and Adeuyi Daniel Oluwole, "MMC impedance modeling and interaction of converters in close proximity," IEEE Journal of Emerging and Selected Topics in Power Electronics, Vol. 9, No. 6, 7223-7236, 2021.
doi:10.1109/jestpe.2020.3031489        Google Scholar

14. Chen, Xiuyu, Ani M. Gole, and MinXiao Han, "Analysis of mixed inverter/rectifier multi-infeed HVDC systems," IEEE Transactions on Power Delivery, Vol. 27, No. 3, 1565-1573, 2012.
doi:10.1109/tpwrd.2012.2187356        Google Scholar

15. Xiao, Hao and Yinhong Li, "Multi-Infeed voltage interaction factor: A unified measure of inter-inverter interactions in hybrid multi-infeed HVDC systems," IEEE Transactions on Power Delivery, Vol. 35, No. 4, 2040-2048, 2020.
doi:10.1109/tpwrd.2019.2960393        Google Scholar

16. Yin, HanHang, Xiaoping Zhou, Yifeng Liu, Haitao Xia, Lerong Hong, Renlong Zhu, and Lingfeng Deng, "Interaction mechanism analysis and additional damping control for hybrid multi-infeed HVDC system," IEEE Transactions on Power Delivery, Vol. 37, No. 5, 3904-3916, 2022.
doi:10.1109/tpwrd.2022.3140826        Google Scholar

17. Liu, Tingting, Jun Wen, Guangyao Qiao, Qianqian Fu, and Shengjun Zhou, "Study on harmonic effects of multi-infeed HVDC systems," Advanced Technology of Electrical Engineering and Energy, Vol. 35, No. 1, 42-47, 2016.
doi:10.3969/j.issn.1003-3076.2016.01.008        Google Scholar

18. Mao, X., W. He, and Z. Zhou, "Comparison of calculation methods for multi-infeed interaction factors," Advanced Technology of Electrical Engineering and Energy, Vol. 40, No. 5, 57-63, 2021.
doi:10.12067/ATEEE2012031        Google Scholar

19. Li, Z., Analysis of harmonic interaction in hybrid multi-infeed HVDC system, South China University of Technology, Guangzhou, China, 2020.

20. Wen, J., W. Meng, W. Yin, et al. "Optimizing design of AC filters of ±800 kV UHVDC transmission projects," High Voltage Engineering, Vol. 36, No. 4, 912-917, 2010.        Google Scholar

21. Kahar, Nor Hidayah Abdul, Ahmed F. Zobaa, Rania A. Turky, Ahmed M. Zobaa, Shady H. E. Abdel Aleem, and Bazilah Ismail, "Comparative analysis of optimal damped and undamped passive filters using MIDACO-solver," Ain Shams Engineering Journal, Vol. 14, No. 8, 102056, 2023.
doi:10.1016/j.asej.2022.102056        Google Scholar

22. Wang, Jianing, Mingkai Chen, Shaolin Yu, and Xing Zhang, "Review of Modeling and Analysis of Parasitics in Power Electronic Converters," Chinese Journal of Electrical Engineering, Vol. 11, No. 1, 151-173, 2025.
doi:10.23919/cjee.2025.000103        Google Scholar