Improved Power Flow Algorithm of Interconnected Power Grid with Multi-terminal DC Partition

WANG Yizhen; PEI Aifei; SHENG Hao; XU Xiang; ZONG Jiaxing; WANG Zhiqian

doi:10.7500/AEPS20250315003

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Improved Power Flow Algorithm of Interconnected Power Grid with Multi-terminal DC Partition

Basic Research | 更新时间：2026-02-28

- Improved Power Flow Algorithm of Interconnected Power Grid with Multi-terminal DC Partition
- Automation of Electric Power Systems Vol. 49, Issue 21, Pages: 140-148(2025)
- 作者机构：
  
  智能配用电装备与系统全国重点实验室（天津大学），天津市 300072
- 作者简介：
- 基金信息：
  
  State Grid Corporation of China(SGNW0000DKJS2310195);National Natural Science Foundation of China(52377119);Joint Fund of National Natural Science Foundation of China(U22B20109)
- DOI：10.7500/AEPS20250315003
  CLC：
- Received：15 March 2025，
  
  Revised：2025-05-15，
  
  Online First：09 July 2025，
  
  Published：10 November 2025
- 稿件说明：
移动端阅览
王一振,裴艾斐,盛浩等.多端直流分区互联电网的改进潮流算法[J].电力系统自动化,2025,49(21):140-148.

WANG Yizhen,PEI Aifei,SHENG Hao,et al.Improved Power Flow Algorithm of Interconnected Power Grid with Multi-terminal DC Partition[J].Automation of Electric Power Systems,2025,49(21):140-148.
王一振,裴艾斐,盛浩等.多端直流分区互联电网的改进潮流算法[J].电力系统自动化,2025,49(21):140-148. DOI： 10.7500/AEPS20250315003.

WANG Yizhen,PEI Aifei,SHENG Hao,et al.Improved Power Flow Algorithm of Interconnected Power Grid with Multi-terminal DC Partition[J].Automation of Electric Power Systems,2025,49(21):140-148. DOI： 10.7500/AEPS20250315003.

摘要

潮流计算是多端直流分区互联电网优化调控的基础。然而，目前的交直流潮流算法未充分考虑多端直流分区互联电网耦合特性，内存需求大、求解效率低，不能适应多端直流分区互联电网快速优化控制的需要。为此，文中提出基于直流电网线性潮流的多端直流分区互联电网改进潮流算法。首先，分析电压源型换流器的稳态模型和控制特性。在此基础上，进行功率站交流分区潮流计算，得到功率站注入直流电网的功率。其次，进行直流电网快速线性潮流计算，得到电压站公共连接点的状态信息。然后，进行电压站交流分区潮流计算。改进潮流算法无须交直流循环迭代，实现了交直流潮流解耦计算。最后，通过理论和算例分析表明，改进算法在保持良好收敛性和通用灵活性的前提下，提高了计算效率。小规模系统潮流计算效率可提高30%以上。随着电网规模的增大，计算效率可提高60%以上。

Abstract

The power flow calculation is the basis for optimal regulation and control of interconnected power grids with multi-terminal DC partition. However

currently

the AC/DC power flow algorithms do not fully consider the coupling characteristics of interconnected power grids with multi-terminal DC partition. They have requirement for large memories and low solution efficiency

and cannot satisfy the requirement for rapid optimal control of interconnected power grids with multi-terminal DC partition. Therefore

this paper proposes an improved power flow algorithm of interconnected power grids with multi-terminal DC partition based on the linear power flow of DC grid. Firstly

the steady-state model and control characteristics of the voltage source converter (VSC) are analyzed. On this basis

the power flow calculation for the AC partition of the power station is performed to obtain the power injected into DC grid by the power station. Secondly

the fast linear power flow calculation of DC grid is carried out to obtain the state information of the point of common coupling (PCC) of the voltage station. Then

the power flow calculation of the AC partition of the voltage station is carried out. The improved power flow algorithm is not needed for AC-DC loop iterations and achieves the AC/DC power flow decoupling calculation. Finally

the theoretical and case analyses demonstrate that the improved algorithm improves computational efficiency while maintaining good convergence and general flexibility. The efficiency of power flow calculation of a small-scale system can be increased by more than 30%. As the scale of the power grid increases

the computational efficiency can be increased by more than 60%.

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references

李周，王宇涵，顾伟，等 . 直流电网及其运行控制策略发展趋势［J］. 电力系统自动化， 2024 ， 48 （ 24 ）： 1 - 21 .

LI Zhou ， WANG Yuhan ， GU Wei ， et al . Development trend of DC power grid and its operation control strategies ［J］. Automation of Electric Power Systems ， 2024 ， 48 （ 24 ）： 1 - 21 .

李真 . 直流互联电网低频振荡分析与抑制措施研究［D］. 北京：华北电力大学， 2019 .

LI Zhen . Analysis of low frequency oscillation in DC interconnected power grid and research on suppression measures ［D］. Beijing ： North China Electric Power University ， 2019 .

FAIRLEY P . Why Southern China broke up its power grid ［J］. IEEE Spectrum ， 2016 ， 53 （ 12 ）： 13 - 14 .

STOTT B . Review of load-flow calculation methods ［J］. Proceedings of the IEEE ， 1974 ， 62 （ 7 ）： 916 - 929 .

王学奎，彭春华，孙惠娟 . 考虑VSC控制策略的交直流混合电网潮流计算［J］. 中国电机工程学报， 2022 ， 43 （ 10 ）： 3731 - 3741 .

WANG Xuekui ， PENG Chunhua ， SUN Huijuan . Power flow calculation of AC/DC hybrid power grid considering VSC control strategy ［J］. Proceedings of the CSEE ， 2022 ， 43 （ 10 ）： 3731 - 3741 .

JAVID Z ， XUE T ， KARAAGAC U ， et al . Unified power flow solver for hybrid AC/DC distribution networks ［J］. IEEE Transactions on Power Delivery ， 2023 ， 38 （ 5 ）： 3322 - 3332 .

宋智强，黄耀辉，赵化时，等 . 含多类型直流的交直流混联电网潮流计算方法适用性分析［J/OL］. 电力自动化设备［ 2025-03-15 ］. https：//kns.cnki.net/KCMS/detail/detail.aspx？filename=DLZS20230705006&dbname=CJFD&dbcode=CJFQ https://kns.cnki.net/KCMS/detail/detail.aspx?filename=DLZS20230705006&dbname=CJFD&dbcode=CJFQ .

SONG Zhiqiang ， HUANG Yaohui ， ZHAO Huashi ， et al . Applicability analysis of power flow calculation methods for AC/DC hybrid connected power grid with multi-type DC ［J/OL］. Electric Power Automation Equipment ［ 2025-03-15 ］. https：//kns.cnki.net/KCMS/detail/detail.aspx？filename=DLZS20230705006&dbname=CJFD&dbcode=CJFQ https://kns.cnki.net/KCMS/detail/detail.aspx?filename=DLZS20230705006&dbname=CJFD&dbcode=CJFQ .

柴润泽，张保会，薄志谦 . 含电压源型换流器直流电网的交直流网络潮流交替迭代方法［J］. 电力系统自动化， 2015 ， 39 （ 7 ）： 7 - 13 .

CHAI Runze ， ZHANG Baohui ， BO Zhiqian . Alternating iterative power flow algorithm for hybrid AC/DC networks containing DC grid based on voltage source converter ［J］. Automation of Electric Power Systems ， 2015 ， 39 （ 7 ）： 7 - 13 .

LIU Y T ， LI Z S ， FAN M . A Newton-Raphson-based sequential power flow algorithm for hybrid AC/DC microgrids ［J］. IEEE Transactions on Industry Applications ， 2022 ， 58 （ 1 ）： 843 - 854 .

朱禹澜，廖凯，杨健维，等 . 含多电力电子变压器的交直流混合配电网潮流计算方法［J/OL］. 电网技术［ 2025-03-15 ］. https：//kns.cnki.net/KCMS/detail/detail.aspx？filename=DWJS2024 0710003&dbname=CJFD&dbcode=CJFQ https://kns.cnki.net/KCMS/detail/detail.aspx?filename=DWJS20240710003&dbname=CJFD&dbcode=CJFQ .

ZHU Yulan ， LIAO Kai ， YANG Jianwei ， et al . Power flow calculation method for AC/DC hybrid distribution network with multiple power electronic transformers ［J/OL］. Power System Technology ［ 2025-03-15 ］. https：//kns.cnki.net/KCMS/detail/detail.aspx？filename=DWJS20240710003&dbname=CJFD &dbcode=CJFQ https://kns.cnki.net/KCMS/detail/detail.aspx?filename=DWJS20240710003&dbname=CJFD&dbcode=CJFQ .

周涛，陈中，戴中坚，等 . 含VSC-MTDC的交直流系统潮流算法［J］. 中国电机工程学报， 2019 ， 39 （ 11 ）： 3140 - 3149 .

ZHOU Tao ， CHEN Zhong ， DAI Zhongjian ， et al . An AC/DC system power flow algorithm with VSC-MTDC ［J］. Proceedings of the CSEE ， 2019 ， 39 （ 11 ）： 3140 - 3149 .

FERNÁNDEZ-PÉREZ J C ， ECHAVARREN CEREZO F M ， RODRÍGUEZ L R . On the convergence of the sequential power flow for multiterminal VSC AC/DC systems ［J］. IEEE Transactions on Power Systems ， 2018 ， 33 （ 2 ）： 1768 - 1776 .

FENG W ， YUAN C ， SHI Q X ， et al . Graph computing based distributed parallel power flow for AC/DC systems with improved initial estimate ［J］. Journal of Modern Power Systems and Clean Energy ， 2021 ， 9 （ 2 ）： 253 - 263 .

吴志远，殷正刚，唐西胜 . 混合电网的交直流解耦潮流算法［J］. 中国电机工程学报， 2016 ， 36 （ 4 ）： 937 - 944 .

WU Zhiyuan ， YIN Zhenggang ， TANG Xisheng . An AC/DC decoupled hybrid power flow algorithm for hybrid power system ［J］. Proceedings of the CSEE ， 2016 ， 36 （ 4 ）： 937 - 944 .

王家融，艾欣，王坤宇，等 . 基于增广雅可比矩阵的交直流解耦潮流新算法［J］. 电工技术学报， 2018 ， 33 （ 6 ）： 1382 - 1389 .

WANG Jiarong ， AI Xin ， WANG Kunyu ， et al . A novel AC-DC decoupled power flow calculation method based on the augmented Jacobian matrix ［J］. Transactions of China Electrotechnical Society ， 2018 ， 33 （ 6 ）： 1382 - 1389 .

YU D ， GAO S ， ZHAO X ， et al . Alternating iterative power-flow algorithm for hybrid AC-DC power grids incorporating LCCs and VSCs ［J］. Sustainability ， 2023 ， 15 （ 5 ）： 4573 .

GAO S L ， YE H ， DU Y L ， et al . A general decoupled AC/DC power flow algorithm with VSC-MTDC ［C］// 2018 13th IEEE Conference on Industrial Electronics and Applications （ICIEA）， May 31-June 2 ， 2018 ， Wuhan， China ： 1779 - 1784 .

YUAN Z C ， WANG Y Z ， YI Y ， et al . Fast linear power flow algorithm for the study of steady-state performance of DC grid ［J］. IEEE Transactions on Power Systems ， 2019 ， 34 （ 6 ）： 4240 - 4248 .

DAELEMANS G . VSC HVDC in meshed networks ［D］. Leuven， Belgium ： Katholieke Universiteit Leuven ， 2008 .

ZIMMERMAN R D ， MURILLO-SÁNCHEZ C E ， THOMAS R J . MATPOWER： steady-state operations， planning， and analysis tools for power systems research and education ［J］. IEEE Transactions on Power Systems ， 2011 ， 26 （ 1 ）： 12 - 19 .

LIU Q ， ZHANG L P ， ZHANG H S ， et al . Distributed secondary optimal control with fast voltage recovery and minimum generation cost for islanded DC microgrids ［J］. IEEE Transactions on Smart Grid ， 2025 ， 16 （ 1 ）： 4 - 15 .

WANG Y Z ， HE J W ， ZHAO Y M ， et al . Equal loading rate based master-slave voltage control for VSC based DC distribution systems ［J］. IEEE Transactions on Power Delivery ， 2020 ， 35 （ 5 ）： 2252 - 2259 .

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