New Type Power System and the Integrated Energy

Local Control Strategy for Optimal Power Flow in Low-Voltage Distribution Network Based on Robust Stochastic Optimization

  • WANG Rui ,
  • BAI Xiaoqing ,
  • HUANG Shengquan
Expand
  • Guangxi Key Laboratory of Power System Optimization and Energy-Saving Technology, Guangxi University, Nanning 530004, China

Received date: 2024-02-29

  Revised date: 2024-06-08

  Accepted date: 2024-07-12

  Online published: 2024-08-13

Abstract

With the promotion of the “dual carbon” goal and the construction of new power systems, the complexity and uncertainty of power systems have increased dramatically, which brings challenges of high proportion of distributed energy and asymmetric loads, such as voltage overstep and three-phase imbalance to distribution network. To cope with these problems, this paper proposes a local control strategy for optimal power flow (OPF) in low voltage distribution network based on robust stochastic optimization (RSO), which uses a 1-norm Wasserstein distance uncertainty set to describe the output uncertainty of distributed energy resource (DER), and builds a robust stochastic optimization model for three-phase four-wire low-voltage distribution network. This model aims to minimize control costs and network losses, while considering the expected adjustments under worst-case scenarios. Local control strategies for distributed energy are obtained without communication infrastructure by convolutional neural networks training. The simulation results verify the effectiveness and economy of the proposed control strategy.

Cite this article

WANG Rui , BAI Xiaoqing , HUANG Shengquan . Local Control Strategy for Optimal Power Flow in Low-Voltage Distribution Network Based on Robust Stochastic Optimization[J]. Journal of Shanghai Jiaotong University, 2026 , 60(2) : 235 -245 . DOI: 10.16183/j.cnki.jsjtu.2024.066

References

[1] BUQUE C, CHOWDHURY S, CHOWDHURY S P. Controlled switching scheme for photovoltaic generation for reducing overvoltage[C]// 22nd International Conference and Exhibition on Electricity Distribution. Stockholm, Sweden: IET, 2013: 1-4.
[2] 谢敏, 张世平, 李弋升, 等. 基于多模式柔性互联的交直流低压配电网优化调度[J]. 电力系统自动化, 2023, 47(6): 79-89.
  XIE Min, ZHANG Shiping, LI Yisheng, et al. Optimal dispatch of AC/DC hybrid low-voltage distribution network based on multi-mode flexible interconnection[J]. Automation of Electric Power Systems, 2023, 47(6): 79-89.
[3] 贾巍, 方兵华, 雷才嘉, 等. 一流城市配电网“源网荷储充” 协调优化控制策略[J]. 机电工程技术, 2021, 50(6): 93-97.
  JIA Wei, FANG Binghua, LEI Caijia, et al. Coordinated and optimized control strategy of “source network load storage and charging” for first-class urban distribution network[J]. Mechanical & Electrical Engineering Technology, 2021, 50(6): 93-97.
[4] 夏金磊, 唐翊杰, 王玲玲, 等. 考虑灵活调节能力的梯级水风光蓄互补系统日前优化运行策略[J]. 上海交通大学学报, 2025, 59(7): 889-900.
  XIA Jinlei, TANG Yijie, WANG Lingling, et al. Optimal operation strategy of cascade hydro-wind-solar-pumped storage complementary system considering the flexible regulation ability[J]. Journal of Shanghai Jiao Tong University, 2025, 59(7): 889-900.
[5] 唐巍, 李天锐, 张璐, 等. 基于三相四线制最优潮流的低压配电网光伏-储能协同控制[J]. 电力系统自动化, 2020, 44(12): 31-40.
  TANG Wei, LI Tianrui, ZHANG Lu, et al. Coordinated control of photovoltaic and energy storage system in low-voltage distribution networks based on three-phase four-wire optimal power flow[J]. Automation of Electric Power Systems, 2020, 44(12): 31-40.
[6] 黄琬迪, 张沈习, 程浩忠, 等. 考虑地区发展阶段不确定性的电网投资决策鲁棒优化[J]. 上海交通大学学报, 2023, 57(11): 1455-1464.
  HUANG Wandi, ZHANG Shenxi, CHENG Hao-zhong, et al. Robust optimization of power grid investment decision-making considering regional deve-lopment stage uncertainties[J]. Journal of Shanghai Jiao Tong University, 2023, 57(11): 1455-1464.
[7] LIU J Y, GAO H J, MA Z, et al. Review and prospect of active distribution system planning[J]. Journal of Modern Power Systems & Clean Energy, 2015, 3(4): 457-467.
[8] MARTINS V F, BORGES C L T. Active distribution network integrated planning incorporating distributed generation and load response uncertainties[J]. IEEE Transactions on Power Systems, 2011, 26(4): 2164-2172.
[9] NIKNAM T, NARIMANI M R, AGHAEI J, et al. Improved particle swarm optimisation for multi-objective optimal power flow considering the cost, loss, emission and voltage stability index[J]. IET Generation, Transmission & Distribution, 2012, 6(6): 515-527.
[10] TIAN Z, WU W C. Recover feasible solutions for SOCP relaxation of optimal power flow problems in mesh networks[J]. IET Generation, Transmission & Distribution, 2019, 13(7): 1078-1087.
[11] HUANG W J, PAN X, CHEN M H, et al. DeepOPF-V: Solving AC-OPF problems efficiently[J]. IEEE Transactions on Power Systems, 2022, 37(1): 800-803.
[12] DE ARAUJO L R, PENIDO D R R, DE ALC?NTARA VIEIRA F. A multiphase optimal power flow algorithm for unbalanced distribution systems[J]. International Journal of Electrical Power & Energy Systems, 2013, 53: 632-642.
[13] CLAEYS S, GETH F, DECONINCK G. Optimal power flow in four-wire distribution networks: Formulation and benchmarking[J]. Electric Power Systems Research, 2022, 213: 108522.
[14] ZHANG Y, ZHANG Q Q, WANG H J, et al. Hierarchical coordinated voltage correction scheme for active distribution network[C]// 2020 IEEE 4th Conference on Energy Internet and Energy System Integration. Wuhan, China: IEEE, 2020: 1779-1783.
[15] RULLO P G, BRACCIA L, FEROLDI D, et al. Multivariable control structure design for voltage regulation in active distribution networks[J]. IEEE Latin America Transactions, 2022, 20(5): 839-847.
[16] YE X S, HE K Y, KANG T Y, et al. Two stage operation optimization of active distribution network based on IMOHS algorithm[C]// 2021 IEEE 13th International Conference on Computer Research and Development. Beijing, China: IEEE, 2021: 78-82.
[17] KLIMENKO Y A, PREOBRAZHENSKY A P. Modeling of the control and monitoring process in the 0.4 kV electrical distribution network[C]// 2020 2nd International Conference on Control Systems, Mathematical Modeling, Automation and Energy Efficiency. Lipetsk, Russia: IEEE, 2020: 975-978.
[18] LIU H Z, LI Q, HAN P P, et al. Control strategy for islanded DC distribution network with high PV penetration[C]// 2020 10th International Conference on Power and Energy Systems. Chengdu, China: IEEE, 2020: 175-179.
[19] KOU P, LIANG D L, GAO R, et al. Decentralized model predictive control of hybrid distribution transformers for voltage regulation in active distribution networks[J]. IEEE Transactions on Sustainable Energy, 2020, 11(4): 2189-2200.
[20] KARAGIANNOPOULOS S, ARISTIDOU P, HUG G. Data-driven local control design for active distribution grids using off-line optimal power flow and machine learning techniques[J]. IEEE Transactions on Smart Grid, 2019, 10(6): 6461-6471.
[21] KARAGIANNOPOULOS S, GALLMANN J, VAYá M G, et al. Active distribution grids offering ancillary services in islanded and grid-connected mode[J]. IEEE Transactions on Smart Grid, 2020, 11(1): 623-633.
[22] JIN X L, MORADI Z, RASHIDI R. Optimal operation of distributed generations in four-wire unbalanced distribution systems considering different models of loads[J]. International Transactions on Electrical Energy Systems, 2023, 2023: 8763116.
[23] KARAGIANNOPOULOS S, ROALD L A, ARISTIDOU P, et al. Operational planning of active distribution grids under uncertainty[C]// 10th Bulk Power Systems Dynamics & Control Symposium. Espinho, Portugal: INESCTEC, 2017: 38.
[24] FORTENBACHER P, ZELLNER M, ANDERSSON G. Optimal sizing and placement of distributed storage in low voltage networks[C]// 2016 Power Systems Computation Conference. Genoa, Italy: IEEE, 2016: 1-7.
[25] KARAGIANNOPOULOS S, ARISTIDOU P, HUG G. A centralised control method for tackling unbalances in active distribution grids[C]// 2018 Power Systems Computation Conference. Dublin, Ireland: IEEE, 2018: 1-7.
[26] MOHAJERIN ESFAHANI P, KUHN D. Data-driven distributionally robust optimization using the Wasserstein metric: Performance guarantees and tractable reformulations[J]. Mathematical Programming, 2018, 171(1): 115-166.
[27] CHEN Z, SIM M, XIONG P. Robust stochastic optimization made easy with RSOME[J]. Management Science, 2020, 66(8): 3329-3339.
[28] Gurobi Optimizer 9.1, Feb. [DB/OL]. (2020-11-19)[2024-02-28]. http://www.gurobi.com.
Outlines

/