Optimal Mitigation Method for Unbalanced Voltage at Point of Common Coupling Considering Operation Constraints of Photovoltaic Converter

TANG Yajie; FENG Qifan; GONG Diyang; LIN Da; LI Zhihao; XIA Yanghong

doi:10.7500/AEPS20241022003

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Optimal Mitigation Method for Unbalanced Voltage at Point of Common Coupling Considering Operation Constraints of Photovoltaic Converter

Application Research | 更新时间：2025-09-25

- Optimal Mitigation Method for Unbalanced Voltage at Point of Common Coupling Considering Operation Constraints of Photovoltaic Converter
- Automation of Electric Power Systems Vol. 49, Issue 18, Pages: 182-194(2025)
- 作者机构：
  
  1.国网浙江省电力有限公司电力科学研究院，浙江省杭州市 310014
  2.浙江大学电气工程学院，浙江省杭州市 310027
- 作者简介：
- 基金信息：
  
  State Grid Zhejiang Electric Power Co., Ltd(5211DS230003)
- DOI：10.7500/AEPS20241022003
  CLC：
- Received：22 October 2024，
  
  Revised：2025-03-16，
  
  Published Online：24 July 2025，
  
  Published：25 September 2025
- 稿件说明：
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唐雅洁,冯启帆,龚迪阳等.计及光伏变流器运行约束的并网点不平衡电压最优治理方法[J].电力系统自动化,2025,49(18):182-194.

TANG Yajie,FENG Qifan,GONG Diyang,et al.Optimal Mitigation Method for Unbalanced Voltage at Point of Common Coupling Considering Operation Constraints of Photovoltaic Converter[J].Automation of Electric Power Systems,2025,49(18):182-194.
唐雅洁,冯启帆,龚迪阳等.计及光伏变流器运行约束的并网点不平衡电压最优治理方法[J].电力系统自动化,2025,49(18):182-194. DOI： 10.7500/AEPS20241022003.

TANG Yajie,FENG Qifan,GONG Diyang,et al.Optimal Mitigation Method for Unbalanced Voltage at Point of Common Coupling Considering Operation Constraints of Photovoltaic Converter[J].Automation of Electric Power Systems,2025,49(18):182-194. DOI： 10.7500/AEPS20241022003.

摘要

大量三相不平衡设备的并网将导致三相电压不平衡，严重威胁配电网的电能质量。除专用电能质量治理设备外，利用配电网中光伏变流器的剩余容量进行不平衡电压的治理是抑制电能质量污染的有效方法。文中提出了利用三相分布式光伏变流器治理并网点不平衡电压的最优控制策略。首先，将治理后并网点不平衡电压最小化的问题建模为一个考虑电路定理、电流限幅、功率平衡、功率振荡的优化问题；其次，分析了该问题物理约束的几何性质，得到了不同条件下可行域的边界和最优点的取值；然后，据此设计了最小化并网点负序电压的控制策略，该控制策略的实现不依赖电网阻抗信息，并可以保证光伏阵列输出最大可用功率；最后，通过硬件在环实验验证了所提控制方法的有效性。

Abstract

The integration of large number of three-phase unbalanced devices into the power grid leads to three-phase voltage unbalance issues

which seriously threaten the power quality of the distribution network. In addition to the specialized power quality mitigation equipment

using the residual capacity of the photovoltaic (PV) converter in the distribution network to mitigate unbalanced voltage is an effective way to suppress power quality pollution. This paper proposes an optimal control strategy for mitigating unbalanced voltage at the point of common coupling (PCC) by using three-phase distributed PV converter. First

the minimization problem of unbalanced voltage at the PCC after mitigation is modeled as an optimization problem considering circuit theorem

current limiting

power balance

and power oscillation. Secondly

the geometric properties of the physical constraints for the problem are analyzed

and the boundary of the feasible region and the optimal value are obtained under various conditions. Then

the corresponding control strategy is designed to minimize the negative-sequence voltage at the PCC. The implementation of the control strategy does not require the power grid impedance information while the maximum output power of the PV array can be guaranteed. Finally

the effectiveness of the proposed control method is verified by the hardware-in-the-loop (HIL) experiment.

关键词

Keywords

references

祁永胜，李凯，高畅毓，等 . 三相电压不平衡下DDSRF-PLL与DSOGI-PLL的锁相误差检测与补偿方法［J］. 电工技术学报， 2024 ， 39 （ 2 ）： 567 - 579 .

QI Yongsheng ， LI Kai ， GAO Changyu ， et al . Phase estimation error detection and compensation method of DDSRF-PLL and DSOGI-PLL under three-phase voltage unbalance ［J］. Transactions of China Electrotechnical Society ， 2024 ， 39 （ 2 ）： 567 - 579 .

万子镜，田震，王伟，等 . 基于平滑切换的不平衡工况下直驱风机故障穿越控制策略［J］. 电力系统自动化， 2023 ， 47 （ 19 ）： 138 - 146 .

WAN Zijing ， TIAN Zhen ， WANG Wei ， et al . Smooth switching based fault ride-through control strategy for direct-driven wind turbine under unbalance condition ［J］. Automation of Electric Power Systems ， 2023 ， 47 （ 19 ）： 138 - 146 .

张晓虎，杨杰 . 级联H桥STATCOM抑制电网电压不平衡控制策略研究［J］. 电工技术， 2020 （ 19 ）： 13 - 16 .

ZHANG Xiaohu ， YANG Jie . Research on voltage unbalance control strategy of cascade H-bridge STATCOM ［J］. Electric Engineering ， 2020 （ 19 ）： 13 - 16 .

GERDROODBARI Y Z ， RAZZAGHI R ， SHAHNIA F . Improving voltage regulation and unbalance in distribution networks using peer-to-peer data sharing between single-phase PV inverters ［J］. IEEE Transactions on Power Delivery ， 2022 ， 37 （ 4 ）： 2629 - 2639 .

IEEE recommended practice for monitoring electric power quality： IEEE Std 1159—2019 ［S］. 2019 .

XIA Y H ， LONG T . Chopperless fault ride-through control for DC microgrids ［J］. IEEE Transactions on Smart Grid ， 2021 ， 12 （ 2 ）： 965 - 976 .

何东，张文，邹玉新，等 . 电网电压不平衡下基于超级电容储能的柔性多状态开关多目标控制策略［J］. 高电压技术， 2024 ， 50 （ 12 ）： 5482 - 5494 .

HE Dong ， ZHANG Wen ， ZOU Yuxin ， et al . Multi-objective control strategy for flexible multi-state switch based on supercapacitor energy storage under grid voltage imbalance ［J］. High Voltage Engineering ， 2024 ， 50 （ 12 ）： 5482 - 5494 .

CAMACHO A ， CASTILLA M ， MIRET J ， et al . Control strategy for distribution generation inverters to maximize the voltage support in the lowest phase during voltage sags ［J］. IEEE Transactions on Industrial Electronics ， 2018 ， 65 （ 3 ）： 2346 - 2355 .

刘辉，陈璨，巨云涛，等 . 风电汇集地区电压不平衡特性分析及抑制策略［J］. 电力系统自动化， 2021 ， 45 （ 14 ）： 132 - 139 .

LIU Hui ， CHEN Can ， JU Yuntao ， et al . Characteristics analysis and suppression strategy of voltage unbalance in areas with integration of wind power ［J］. Automation of Electric Power Systems ， 2021 ， 45 （ 14 ）： 132 - 139 .

丁大尉，谢辉，王高林，等 . 电网电压不平衡条件下永磁电机无电解电容驱动系统网侧电流谐波抑制方法［J/OL］. 中国电机工程学报［ 2024-12-04 ］. https：//doi.org/10.13334/j.0258-8013.pcsee.241014 https://doi.org/10.13334/j.0258-8013.pcsee.241014 .

DING Dawei ， XIE Hui ， WANG Gaolin ， et al . Suppression strategy of grid-side current harmonics for electrolytic capacitor-less permanent magnet motor drives under unbalanced grid voltage ［J/OL］. Proceedings of the CSEE ［ 2024-12-04 ］. https：//doi.org/10.13334/j.0258-8013.pcsee.241014 https://doi.org/10.13334/j.0258-8013.pcsee.241014 .

舒涛，董学育，朱建忠 . 电压不平衡下并网逆变器的模型预测功率解耦控制［J］. 电力系统及其自动化学报， 2025 ， 37 （ 4 ）： 150 - 158 .

SHU Tao ， DONG Xueyu ， ZHU Jianzhong . Model predictive power decoupling control of grid-connected inverter under voltage imbalance ［J］. Proceedings of the CSU-EPSA ， 2025 ， 37 （ 4 ）： 150 - 158 .

郝思鹏，蔡欣灵，张仰飞，等 . 三相不平衡与线损的量化分析［J］. 电网技术， 2021 ， 45 （ 4 ）： 1547 - 1552 .

HAO Sipeng ， CAI Xinling ， ZHANG Yangfei ， et al . Quantitative analysis between three-phase unbalance and line losses ［J］. Power System Technology ， 2021 ， 45 （ 4 ）： 1547 - 1552 .

徐上，谢震，杨曙昕，等 . 不平衡弱电网下构网型双馈风电机组转子侧变流器优化策略［J］. 电力系统自动化， 2025 ， 49 （ 7 ）： 35 - 45 .

XU Shang ， XIE Zhen ， YANG Shuxin ， et al . Optimization strategy for rotor-side converter of grid-forming DFIG-based wind turbines under unbalanced weak grid ［J］. Automation of Electric Power Systems ， 2025 ， 49 （ 7 ）： 35 - 45 .

GUO Y F ， PAL B C ， JABR R A ， et al . Global optimality of inverter dynamic voltage support ［J］. IEEE Transactions on Power Systems ， 2022 ， 37 （ 5 ）： 3947 - 3957 .

逄思敏，刘其辉，石子敬，等 . 考虑线路序阻抗耦合的风电并网系统电压不平衡机理及抑制方法研究［J］. 电网技术， 2024 ， 48 （ 2 ）： 552 - 566 .

PANG Simin ， LIU Qihui ， SHI Zijing ， et al . Voltage imbalance mechanism and suppression of wind power integration system considering sequence impedance coupling of transmission lines ［J］. Power System Technology ， 2024 ， 48 （ 2 ）： 552 - 566 .

NEJABATKHAH F ， LI Y W ， WU B . Control strategies of three-phase distributed generation inverters for grid unbalanced voltage compensation ［J］. IEEE Transactions on Power Electronics ， 2016 ， 31 （ 7 ）： 5228 - 5241 .

ZHAO X ， GUERRERO J M ， SAVAGHEBI M ， et al . Low-voltage ride-through operation of power converters in grid-interactive microgrids by using negative-sequence droop control ［J］. IEEE Transactions on Power Electronics ， 2017 ， 32 （ 4 ）： 3128 - 3142 .

NANDI R ， TRIPATHY M ， GUPTA C P . Multi-objective optimization based voltage injection technique for minimizing imbalance and harmonics in AC microgrid ［J］. IEEE Transactions on Sustainable Energy ， 2024 ， 15 （ 2 ）： 1269 - 1287 .

赖纪东，徐洁洁，苏建徽，等 . 微网逆变器不平衡电压协调补偿边界分析与计算［J］. 电力系统自动化， 2022 ， 46 （ 6 ）： 127 - 136 .

LAI Jidong ， XU Jiejie ， SU Jianhui ， et al . Analysis and calculation of coordinated compensation boundary for unbalanced voltage of microgrid inverter ［J］. Automation of Electric Power Systems ， 2022 ， 46 （ 6 ）： 127 - 136 .

MEXIS I ， TODESCHINI G ， ZHOU Z F . Coordinated control of three single-phase BESS inverters using local measurements to mitigate voltage unbalance ［J］. IEEE Transactions on Energy Conversion ， 2022 ， 37 （ 4 ）： 2941 - 2951 .

KAHINGALA T D ， PERERA S ， JAYATUNGA U ， et al . Network-wide influence of a STATCOM configured for voltage unbalance mitigation ［J］. IEEE Transactions on Power Delivery ， 2020 ， 35 （ 3 ）： 1602 - 1605 .

CHEN W L ， SU Y H . Negative-sequence active and reactive currents compensation for unbalanced three-phase networks subject to various line impedance attributes ［J］. IEEE Journal of Emerging and Selected Topics in Power Electronics ， 2022 ， 10 （ 2 ）： 2528 - 2538 .

GHAHDERIJANI M ， CAMACHO A ， MOREIRA C ， et al . Imbalance-voltage mitigation in an inverter-based distributed generation system using a minimum current-based control strategy ［J］. IEEE Transactions on Power Delivery ， 2020 ， 35 （ 3 ）： 1399 - 1409 .

WANG X F ， PENG L . Dynamic voltage equalization control of D-STATCOM under unbalanced grid faults in a low-voltage network ［J］. IEEE Transactions on Power Electronics ， 2023 ， 38 （ 2 ）： 2384 - 2397 .

CAMACHO A ， CASTILLA M ， MIRET J . Positive and negative sequence control strategies to maximize the voltage support in resistive-inductive grids during grid faults ［J］. IEEE Transactions on Power Electronics ， 2018 ， 33 （ 6 ）： 5362 - 5373 .

SHUVRA M A ， CHOWDHURY B . Distributed dynamic grid support using smart PV inverters during unbalanced grid faults ［J］. IET Renewable Power Generation ， 2019 ， 13 （ 4 ）： 598 - 608 .

GUO Y F ， PAL B C ， JABR R A . On the optimality of voltage unbalance attenuation by inverters ［J］. IEEE Transactions on Sustainable Energy ， 2022 ， 13 （ 3 ）： 1492 - 1506 .

MOHAMMED N ， KEREKES T ， CIOBOTARU M . An online event-based grid impedance estimation technique using grid-connected inverters ［J］. IEEE Transactions on Power Electronics ， 2021 ， 36 （ 5 ）： 6106 - 6117 .

龙云波，张曦，徐永海，等 . 不平衡电压下IGBT串联STATCOM稳定运行范围确定及应用［J］. 电力系统保护与控制， 2021 ， 49 （ 13 ）： 158 - 166 .

LONG Yunbo ， ZHANG Xi ， XU Yonghai ， et al . Determination and application of stable operation range of series-connected STATCOM with IGBT under unbalance voltage ［J］. Power System Protection and Control ， 2021 ， 49 （ 13 ）： 158 - 166 .

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