Affine Power Flow Calculation Method for Low-voltage Distribution Systems Considering the Uncertainty of Distributed Photovoltaic Output

WANG Zezhou; MAO Linming; PAN Keqin; CHU Jianxin; CHEN Gang

doi:10.11930/j.issn.1004-9649.202412047

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Affine Power Flow Calculation Method for Low-voltage Distribution Systems Considering the Uncertainty of Distributed Photovoltaic Output

更新时间：2025-10-29

- Affine Power Flow Calculation Method for Low-voltage Distribution Systems Considering the Uncertainty of Distributed Photovoltaic Output
- Vol. 58, Issue 10, Pages: 188-194(2025)
- 作者机构：
  
  国网浙江省电力有限公司嘉兴供电公司,浙江,嘉兴,314500
- 作者简介：
- 基金信息：
- DOI：10.11930/j.issn.1004-9649.202412047
  CLC：
- Published Online：23 October 2025，
  
  Published：2025
- 稿件说明：
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汪泽州, 毛琳明, 潘克勤, 储建新, 陈刚. 计及分布式光伏出力不确定性的低压配电网仿射潮流计算方法[J]. 中国电力, 2025, 58(10): 188-194.

WANG Zezhou, MAO Linming, PAN Keqin, et al. Affine Power Flow Calculation Method for Low-voltage Distribution Systems Considering the Uncertainty of Distributed Photovoltaic Output[J]. 2025, 58(10): 188-194.
汪泽州, 毛琳明, 潘克勤, 储建新, 陈刚. 计及分布式光伏出力不确定性的低压配电网仿射潮流计算方法[J]. 中国电力, 2025, 58(10): 188-194. DOI： 10.11930/j.issn.1004-9649.202412047.

WANG Zezhou, MAO Linming, PAN Keqin, et al. Affine Power Flow Calculation Method for Low-voltage Distribution Systems Considering the Uncertainty of Distributed Photovoltaic Output[J]. 2025, 58(10): 188-194. DOI： 10.11930/j.issn.1004-9649.202412047.

摘要

源、荷不确定性增加了配电网实时态势感知的难度。为此，提出一种计及分布式光伏出力不确定性的低压配电网仿射潮流计算方法。考虑光伏出力及负荷的不确定性，建立低压配电网潮流模型。考虑中性点电压对潮流计算结果的影响，建立配电网状态变量的仿射表达式，从而减少区间运算的扩张效应，获得更紧凑的状态变量区间。基于标准配电网测试系统对所提方法进行验证。仿真结果表明，所提方法不仅能够提升计算精度，而且可以在电能质量分析中能给出更具参考价值的评估结果。

Abstract

The uncertainty of the source and load increases the difficulty of real-time situation awareness of the distribution network. To this end

an affine power flow calculation for the low-voltage distribution network considering the uncertainty of distributed photovoltaic output is proposed. The power flow model of the low-voltage distribution network is established considering uncertainty of photovoltaic output and load. The influence of the neutral point voltage on the power flow calculation results is considered

and the affine expression of the distribution network state is established

thereby reducing the expansion effect of the interval operation and obtaining a more compact interval of the state variables. Based on the standard distribution network test system

the proposed method is. The simulation results show that the proposed method can not only improve the calculation accuracy but also give more valuable evaluation results in the analysis of power quality.

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references

1赵琳, 郭尚民, 商文颖, 等. 基于FDOA的可再生能源系统配置优化[J]. 中国电力, 2025, 58 (7): 168- 176. DOI

ZHAO Lin, GUO Shangmin, SHANG Wenying, et al. Configuration optimization of renewable energy systems based on FDOA[J]. Electric Power, 2025, 58 (7): 168- 176. DOI

2周才期, 刘静利, 孙鹏凯, 等. 分布式光伏波动事件多级区间滚动预警方法[J]. 中国电力, 2024, 57 (8): 96- 107. DOI

ZHOU Caiqi, LIU Jingli, SUN Pengkai, et al. Multi-level interval rolling warning method for distributed photovoltaic fluctuation events[J]. Electric Power, 2024, 57 (8): 96- 107. DOI

3杨军, 王楠楠, 王江, 等. 基于潮流追踪的有源配电网碳排放流分析方法[J]. 浙江电力, 2024, 43 (6): 80- 87.

YANG Jun, WANG Nannan, WANG Jiang, et al. A method for carbon emission flow analysis in active distribution networks based on power flow tracking[J]. Zhejiang Electric Power, 2024, 43 (6): 80- 87.

4周洋, 黄德志, 李培栋, 等. 考虑平衡端点相位不对称及光伏接入的低压配电网三相潮流模型[J]. 中国电力, 2024, 57 (10): 190- 198.

ZHOU Yang, HUANG Dezhi, LI Peidong, et al. A three-phase power flow model for low-voltage distribution networks considering balanced bus phase asymmetry and photovoltaic access[J]. Electric Power, 2024, 57 (10): 190- 198.

5张亚健, 陈茨, 薛飞, 等. 电制氢协同的含高比例光伏配电网两阶段电压随机优化控制[J]. 中国电力, 2024, 57 (8): 23- 35. DOI

ZHANG Yajian, CHEN Ci, XUE Fei, et al. Two-stage stochastic optimal voltage control of high-proportional photovoltaic distribution networks considering auxiliary power to hydrogen[J]. Electric Power, 2024, 57 (8): 23- 35. DOI

6杨康, 李蓝青, 李艺丰, 等. 一种新型分布式光伏出力区间预测方法[J]. 发电技术, 2024, 45 (4): 684- 695. DOI

YANG Kang, LI Lanqing, LI Yifeng, et al. A novel distributed photovoltaic output interval prediction method[J]. Power Generation Technology, 2024, 45 (4): 684- 695. DOI

7张海涛, 李文娟, 李雪峰, 等. 基于变分模态分解和时间注意力机制TCN网络的光伏发电功率预测[J]. 电测与仪表, 2024, 61 (12): 156- 163.

ZHANG Haitao, LI Wenjuan, LI Xuefeng, et al. Photovoltaic power forecasting based on TPA-TCN model and variational modal decomposition[J]. Electrical Measurement & Instrumentation, 2024, 61 (12): 156- 163.

8周忠玉, 孔小民, 郝沛, 等. 面向云储能差异化调控的有源配电网多区域分布式光伏高效消纳方法[J]. 湖南电力, 2024, 44 (3): 136- 144.

ZHOU Zhongyu, KONG Xiaomin, HAO Pei, et al. Efficient consumption methods of multi-area distributed photovoltaic energy for active distribution network with differentiated scheduling for cloud energy storage[J]. Hunan Electric Power, 2024, 44 (3): 136- 144.

9冯侃, 魏立保, 吴兆彬, 等. 基于集群划分的含高比例户用光伏配电网电压控制研究[J]. 综合智慧能源, 2025, 47 (2): 60- 70.

FENG Kan, WEI Libao, WU Zhaobin, et al. Research on voltage control of distribution networks with high-proportion household photovoltaics based on cluster division[J]. Integrated Intelligent Energy, 2025, 47 (2): 60- 70.

10呼斯乐, 于源, 王渊, 等. 考虑灵活性分析的典型光伏日出力率曲线提取方法[J]. 内蒙古电力技术, 2024, 42 (3): 20- 27.

HU Sile, YU Yuan, WANG Yuan, et al. Method for extracting typical PV daily output curves considering flexibility analysis[J]. Inner Mongolia Electric Power, 2024, 42 (3): 20- 27.

11陈晓华, 吴杰康. 基于北方苍鹰优化算法优化长短期记忆神经网络的光伏发电功率短期预测[J]. 山东电力技术, 2024, 51 (10): 10- 17.

CHEN Xiaohua, WU Jiekang. Photovoltaic power short-term prediction based on long short-term memory neural network optimized by northern goshawk optimization algorithm[J]. Shandong Electric Power, 2024, 51 (10): 10- 17.

12VACCARO A, CAÑIZARES C A, BHATTACHARYA K. A range arithmetic-based optimization model for power flow analysis under interval uncertainty[J]. IEEE Transactions on Power Systems, 2013, 28 (2): 1179- 1186. DOI

13DING T, BO R, LI F X, et al. Interval power flow analysis using linear relaxation and optimality-based bounds tightening (OBBT) methods[J]. IEEE Transactions on Power Systems, 2015, 30 (1): 177- 188. DOI

14DUAN C, JIANG L, FANG W L, et al. Moment-SOS approach to interval power flow[J]. IEEE Transactions on Power Systems, 2017, 32 (1): 522- 530. DOI

15DING T, LI F X, LI X, et al. Interval radial power flow using extended DistFlow formulation and Krawczyk iteration method with sparse approximate inverse preconditioner[J]. IET Generation, Transmission & Distribution, 2015, 9(14): 1998–2006.

16DAS B. Radial distribution system power flow using interval arithmetic[J]. International Journal of Electrical Power & Energy Systems, 2002, 24 (10): 827- 836.

17裴爱华, 刘明波, 张弛. 考虑负荷不确定性的区间潮流计算方法[J]. 电力系统及其自动化学报, 2004, 16 (6): 24- 27, 43.

PEI Aihua, LIU Mingbo, ZHANG Chi. Interval algorithm for power flow calculation with uncertain load[J]. Proceedings of Electric Power System and Automation, 2004, 16 (6): 24- 27, 43.

18邵振国, 李壹民, 颜熙颖, 等. 基于全纯嵌入的电力系统不确定性仿射潮流方法[J]. 中国电机工程学报, 2024, 44 (1): 105- 117.

SHAO Zhenguo, LI Yimin, YAN Xiying, et al. Affine power flow algorithm for power system based on holomorphic embedding method[J]. Proceedings of the CSEE, 2024, 44 (1): 105- 117.

19杜萍静, 杨明, 曹良晶, 等. 含电压源换流器交直流系统的仿射潮流算法[J]. 电工技术学报, 2020, 35 (5): 1106- 1117.

DU Pingjing, YANG Ming, CAO Liangjing, et al. Affine power flow algorithm for AC/DC systems with voltage source converter[J]. Transactions of China Electrotechnical Society, 2020, 35 (5): 1106- 1117.

20GU W, LUO L Z, DING T, et al. An affine arithmetic-based algorithm for radial distribution system power flow with uncertainties[J]. International Journal of Electrical Power & Energy Systems, 2014, 58, 242- 245.

21WANG S X, HAN L, WU L. Uncertainty tracing of distributed generations via complex affine arithmetic based unbalanced three-phase power flow[J]. IEEE Transactions on Power Systems, 2015, 30 (6): 3053- 3062. DOI

22邵振国, 黄耿业, 张嫣, 等. 固定噪声元的预测–校正型仿射潮流迭代算法[J]. 中国电机工程学报, 2021, 41 (7): 2331- 2341.

SHAO Zhenguo, HUANG Gengye, ZHANG Yan, et al. A predictor-corrector affine power flow iteration algorithm based on fixed noise element[J]. Proceedings of the CSEE, 2021, 41 (7): 2331- 2341.

23VACCARO A, CANIZARES C A, VILLACCI D. An affine arithmetic-based methodology for reliable power flow analysis in the presence of data uncertainty[J]. IEEE Transactions on Power Systems, 2010, 25 (2): 624- 632. DOI

24VACCARO A, CAÑIZARES C A. An affine arithmetic-based framework for uncertain power flow and optimal power flow studies[J]. IEEE Transactions on Power Systems, 2017, 32 (1): 274- 288. DOI

25卢新星, 瞿振宇, 黄际元, 等. 考虑多种实时气象因素的分布式光伏出力预测模型构建与优化[J]. 湖南电力, 2024, 44 (6): 128- 133.

LU Xinxing, QU Zhenyu, HUANG Jiyuan, et al. Construction and optimization of distributed photovoltaic output forecast model considering multiple real-time meteorological factors[J]. Hunan Electric Power, 2024, 44 (6): 128- 133.

26赵高帅, 罗涛, 闫大威, 等. 考虑源荷相关性及不确定性的配电网网架规划方法[J]. 浙江电力, 2024, 43 (10): 65- 74.

ZHAO Gaoshuai, LUO Tao, YAN Dawei et al. A framework planning method for distribution networks considering the source-load correlation and uncertainty[J]. 浙江电力, 2024, 43 (10): 65- 74.

27曹宏宇, 梁言贺, 刘惠颖, 等. 考虑风-光-储不确定性的新型电力系统概率潮流计算[J]. 电测与仪表, 2024, 61 (6): 87- 93.

CAO Hongyu, LIANG Yanhe, LIU Huiying, et al. Probabilistic power flow calculation of novel power system considering uncertainty of wind-light-storage[J]. Electrical Measurement & Instrumentation, 2024, 61 (6): 87- 93.

28LU Z M, YAN W, HUANG D Z, et al. State estimation for medium- and low-voltage distribution systems considering measurement characteristics and grounded slack bus[J]. IEEE Transactions on Instrumentation and Measurement, 2022, 71, 1008112.

29穆怀天, 廉洪亮, 刘娟, 等. 基于数据物理融合驱动配电网三相线性化潮流及线损分析应用[J]. 中国电力, 2024, 57 (10): 46- 56. DOI

MU Huaitian, LIAN Hongliang, LIU Juan, et al. Application of three-phase linearized power flow and line loss analysis of distribution network driven by data and physics fusion[J]. Electric Power, 2024, 57 (10): 46- 56. DOI

30陆文甜. 基于增量交换的主动配电网分布式多目标最优潮流[J]. 综合智慧能源, 2024, 46 (2): 43- 48.

LU Wentian. Increment-exchange-based decentralized multi-objective optimal power flow algorithm for active distribution grids[J]. Integrated Intelligent Energy, 2024, 46 (2): 43- 48.

31杨剑锋, 李婷, 杨爱民, 等. 含电能路由器的光伏配电网电压越限问题潮流优化研究[J]. 发电技术, 2025, 46 (1): 113- 125. DOI

YANG Jianfeng, LI Ting, YANG Aimin, et al. Research on tidal optimization of voltage overrun problem in photovoltaic distribution network with electrical energy router[J]. Power Generation Technology, 2025, 46 (1): 113- 125. DOI

32LENG S P, LIU K P, RAN X H, et al. An affine arithmetic-based model of interval power flow with the correlated uncertainties in distribution system[J]. IEEE Access, 2020, 8, 60293- 60304. DOI

33胡真, 汪盼. 计及可再生能源不确定性的实时需求响应策略研究[J]. 湖南电力, 2023, 43 (1): 30- 34, 40.

HU Zhen, WANG Pan. Research on real-time demand response strategy considering renewable energy uncertainty[J]. Hunan Electric Power, 2023, 43 (1): 30- 34, 40.

34杨彪, 李佳蓉, 魏子轲. 美国分布式能源发展对我国的启示[J]. 中国电力企业管理, 2024, (25): 94- 96.

35张静忠, 蒙飞, 孙阳, 等. 考虑有功不确定性的配电网新能源无功优化控制[J]. 中国电力, 2024, 57 (3): 51- 59.

ZHANG Jingzhong, MENG Fei, SUN Yang, et al. Reactive power optimization control for renewable energy in distribution networks considering active power uncertainties[J]. Electric Power, 2024, 57 (3): 51- 59.

36贾晓强, 杨永标, 杜姣, 等. 气候变化条件下基于智能预测模型的虚拟电厂不确定性运行优化研究[J]. 发电技术, 2023, 44 (6): 790- 799.

JIA Xiaoqiang, YANG Yongbiao, DU Jiao, et al. Study on uncertainty operation optimization of virtual power plant based on intelligent prediction model under climate change[J]. Power Generation Technology, 2023, 44 (6): 790- 799.

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