Maximum Accommodation Capacity Decomposition of Distributed Renewable Power Generation Considering Multi-Level Distribution Network

doi:10.11930/j.issn.1004-9649.202404020

Abstract

Abstract:

With the integration of distributed renewable energy sources (RES) into various levels of distribution networks characterized by their "numerous and widely distributed" nature, the power grid exhibits a multi-level access and integrated consumption pattern for renewable energy. To facilitate the full consumption and efficient utilization of renewable energy, a model for calculating the maximum consumption capacity of RES in multi-level distribution networks is proposed. This approach transforms the complex task of estimating the maximum RES consumption capacity in the entire system into sub-problems focused on individual distribution network levels, thereby enabling precise measurements of the maximum RES consumption space at each level. Firstly, with the objective of maximizing the RES penetration within the multi-level distribution network, a consumption space calculation model is established based on the Distflow power flow model. Secondly, to address the issues of non-convexity and low solution efficiency inherent in the model, a second-order cone relaxation technique is applied to transform the model into a mixed-integer second-order cone programming (MISOCP) model. Subsequently, the alternating direction method of multipliers (ADMM) is employed to decompose the overall RES consumption space estimation problem into sub-problems focused on individual distribution network levels, effectively transforming the consumption space model into a decomposed calculation model for the maximum RES consumption capacity across the multi-level distribution network. Finally, the effectiveness of this methodology is demonstrated through simulations on the IEEE 6, 7, 9, 10, 12, and 15 test systems.

Key words: multi-level distribution network, distributed energy resource, maximum accommodation capacity, second order cone relaxation, alternating direction method of multipliers

Donglei SUN, Yi SUN, Rui LIU, Pengkai SUN, Yumin ZHANG. Maximum Accommodation Capacity Decomposition of Distributed Renewable Power Generation Considering Multi-Level Distribution Network[J]. Electric Power, 2024, 57(8): 108-116.

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URL: https://www.electricpower.com.cn/EN/10.11930/j.issn.1004-9649.202404020

https://www.electricpower.com.cn/EN/Y2024/V57/I8/108

Figures/Tables 7

Fig.1 Multi-level distribution network structure

Fig.2 Model decoupling

Fig.3 Multi-level distribution network topology

Fig.4 Time series standard values for wind turbine and photovoltaic power prediction

Table 1 Comparison of results of different solving methods

配电网	分布式新能源消纳空间/(kV·A)
配电网	方案1	方案2
35 kV配电网	1709.89	1335.76
10 kV配电网1	156.03	319.72
10 kV配电网2	145.56	245.72
10 kV配电网3	103.63	188.64
220 V配电网1	82.81	123.33
220 V配电网2	85.49	121.20
总容量	2286.41	2334.37

Fig.5 Active power of tie-line and distribution network

Table 2 The voltage offset index of each scheme

方案		电压偏移指数
1		0.04571
2		0.00093

References 33

1	明萌, 周楠西, 高丽媛, 等. 有源配电网分布式光伏承载力分析评估与应用[J]. 供用电, 2023, 40 (11): 35- 44, 53.
	MING Meng, ZHOU Nanxi, GAO Liyuan, et al. Analysis, evaluation and application of distributed photovoltaic carrying capacity in active distribution networks[J]. Distribution & Utilization, 2023, 40 (11): 35- 44, 53.
2	张玉敏, 孙鹏凯, 吉兴全, 等. 基于并行多维近似动态规划的综合能源系统动态经济调度[J]. 电力系统自动化, 2023, 47 (4): 60- 68. DOI
	ZHANG Yumin, SUN Pengkai, JI Xingquan, et al. Dynamic economic dispatch for integrated energy system based on parallel multi-dimensional approximate dynamic programming[J]. Automation of Electric Power Systems, 2023, 47 (4): 60- 68. DOI
3	弭辙, 张晋芳, 刘俊, 等. 面向促进新能源消纳的源网荷贡献度分解算法[J]. 发电技术, 2019, 40 (6): 509- 515. DOI
	MI Zhe, ZHANG Jinfang, LIU Jun, et al. Decomposition algorithm of source-grid-load contribution for promoting renewable energy accommodation[J]. Power Generation Technology, 2019, 40 (6): 509- 515. DOI
4	刘联涛, 刘飞, 吉平, 等. 储能参与新能源消纳的优化控制策略[J]. 中国电力, 2023, 56 (3): 137- 143.
	LIU Liantao, LIU Fei, JI Ping, et al. Research on optimal control strategy of energy storage for improving new energy consumption[J]. Electric Power, 2023, 56 (3): 137- 143.
5	张玉敏, 孙鹏凯, 孟祥剑, 等. 基于碳势-能源价格双响应的综合能源系统低碳经济调度[J]. 电力系统自动化, 2024, 48 (9): 21- 33.
	ZHANG Yumin, SUN Pengkai, MENG Xiangjian, et al. Low-carbon economic dispatching of integrated energy system based on dual response of carbon intensity and energy price[J]. Automation of Electric Power Systems, 2024, 48 (9): 21- 33.
6	齐彩娟, 车彬, 杨燕, 等. 考虑新能源消纳与储能参与调频的共享储能主从博弈鲁棒定价方法[J]. 中国电力, 2023, 56 (8): 26- 39.
	QI Caijuan, CHE Bin, YANG Yan, et al. Master-slave game-based robust pricing method of shared energy storage considering renewable energy accommodation and energy storage participating in frequency modulation[J]. Electric Power, 2023, 56 (8): 26- 39.
7	ZHANG Y M, SUN P K, JI X Q, et al. Low-carbon economic dispatch of integrated energy systems considering extended carbon emission flow[J]. Journal of Modern Power Systems and Clean Energy, 2024, PP (99): 1- 12.
8	姜涛, 张启蒙, 蒋振国, 等. 考虑风电消纳的区域综合能源系统多能互补优化方案对比分析[J]. 浙江电力, 2022, 41 (11): 23- 30.
	JIANG Tao, ZHANG Qimeng, JIANG Zhenguo, et al. Comparative analysis of multi-energy complementary optimization schemes for regional integrated energy system considering wind power consumption[J]. Zhejiang Electric Power, 2022, 41 (11): 23- 30.
9	张玉敏, 张旋, 吉兴全, 等. 计及电–气–热IES动态特性的输配协同机组组合[J]. 中国电机工程学报, 2022, 42 (23): 8576- 8592.
	ZHANG Yumin, ZHANG Xuan, JI Xingquan, et al. Synergetic unit commitment of transmission and distribution network considering dynamic characteristics of electricity-gas-heat integrated energy system[J]. Proceedings of the CSEE, 2022, 42 (23): 8576- 8592.
10	潘忠志, 孔宁, 王燕涛. 改进新能源消纳的配电网资源优化配置研究[J]. 东北电力大学学报, 2023, 43 (6): 71- 78.
	PAN Zhongzhi, KONG Ning, WANG Yantao. Joint optimal allocation method of energy-load-storage in power supply area to improve new energy consumption capacity[J]. Journal of Northeast Electric Power University, 2023, 43 (6): 71- 78.
11	WANG M Q, YANG M, FANG Z, et al. A practical feeder planning model for urban distribution system[J]. IEEE Transactions on Power Systems, 2023, 38 (2): 1297- 1308. DOI
12	梁志峰, 夏俊荣, 孙檬檬, 等. 数据驱动的配电网分布式光伏承载力评估技术研究[J]. 电网技术, 2020, 44 (7): 2430- 2439.
	LIANG Zhifeng, XIA Junrong, SUN Mengmeng, et al. Data driven assessment of distributed photovoltaic hosting capacity in distribution network[J]. Power System Technology, 2020, 44 (7): 2430- 2439.
13	WANG S X, CHEN S J, GE L J, et al. Distributed generation hosting capacity evaluation for distribution systems considering the robust optimal operation of OLTC and SVC[J]. IEEE Transactions on Sustainable Energy, 2016, 7 (3): 1111- 1123. DOI
14	谭笑, 王主丁, 李强, 等. 计及多约束的多分布式电源接入配电网最大承载力分段算法[J]. 电力系统自动化, 2020, 44 (4): 72- 80. DOI
	TAN Xiao, WANG Zhuding, LI Qiang, et al. Segmentation algorithm for maximum hosting capacity of distributed generator accessing to distribution network considering multiple constraints[J]. Automation of Electric Power Systems, 2020, 44 (4): 72- 80. DOI
15	戴松灵, 王晞, 刘方, 等. 考虑综合承载力的主动配电网优化调度与运行[J]. 电力建设, 2020, 41 (2): 67- 75.
	DAI Songling, WANG Xi, LIU Fang, et al. Optimal scheduling and operating of active distribution network considering comprehensive carrying capacity[J]. Electric Power Construction, 2020, 41 (2): 67- 75.
16	吴素农, 于金镒, 杨为群, 等. 配电网分布式电源最大并网容量的机会约束评估模型及其转化方法[J]. 电网技术, 2018, 42 (11): 3691- 3697.
	WU Sunong, YU Jinyi, YANG Weiqun, et al. Chance constrained DG capacity assessment model and transforming method for distribution networks[J]. Power System Technology, 2018, 42 (11): 3691- 3697.
17	李练兵, 张凯宁, 曾四鸣, 等. 基于APDE算法的配电网分布式电源承载力评估[J]. 太阳能学报, 2023, 44 (11): 55- 63.
	LI Lianbing, ZHANG Kaining, ZENG Siming, et al. Distributed generation hosting capacity evaluation in distribution network based on adaptive perturbation differential evolution algorithm[J]. Acta Energiae Solaris Sinica, 2023, 44 (11): 55- 63.
18	AL-SAADI H, ZIVANOVIC R, AL-SARAWI S F. Probabilistic hosting capacity for active distribution networks[J]. IEEE Transactions on Industrial Informatics, 2017, 13 (5): 2519- 2532. DOI
19	黎立丰, 刘春晓, 朱浩骏, 等. 考虑网络安全约束的可再生能源消纳能力评估方法[J]. 电力科学与技术学报, 2023, 38 (4): 162- 168.
	LI Lifeng, LIU Chunxiao, ZHU Haojun, et al. Absorptive capability evaluation method of renewable energy considering security constraints of power grid[J]. Journal of Electric Power Science and Technology, 2023, 38 (4): 162- 168.
20	董旭柱, 华祝虎, 尚磊, 等. 新型配电系统形态特征与技术展望[J]. 高电压技术, 2021, 47 (9): 3021- 3035.
	DONG Xuzhu, HUA Zhuhu, SHANG Lei, et al. Morphological characteristics and technology prospect of new distribution system[J]. High Voltage Engineering, 2021, 47 (9): 3021- 3035.
21	王吉利, 薛飞, 黄玉雄, 等. 数据驱动的区域电网新能源消纳受阻因素智能辨识方法[J]. 智慧电力, 2022, 50 (10): 95- 101.
	WANG Jili, XUE Fei, HUANG Yuxiong, et al. Data-driven intelligent identification method of hindering factors for renewable energy consumption in regional power grids[J]. Smart Power, 2022, 50 (10): 95- 101.
22	杨少波, 李铁成, 周文, 等. 含柔性变电站的交直流配电网分布式优化调度方法[J]. 电力自动化设备, 2021, 41 (8): 17- 24.
	YANG Shaobo, LI Tiecheng, ZHOU Wen, et al. Distributed optimal dispatching method for AC/DC distribution network with flexible substations[J]. Electric Power Automation Equipment, 2021, 41 (8): 17- 24.
23	TANG K J, DONG S F, MA X, et al. Chance-constrained optimal power flow of integrated transmission and distribution networks with limited information interaction[J]. IEEE Transactions on Smart Grid, 2021, 12 (1): 821- 833. DOI
24	李付存, 曹文君, 于丹文, 等. 计及输配电网双向协同的有源配电网多目标分层主动优化[J/OL]. 南方电网技术, 2023: 1–14. (2023-11-20). https://kns.cnki.net/kcms/detail/44.1643.TK.20231117.1538.002.html.
	LI Fucun, CAO Wenjun, YU Danwen, et al. Multi-objective hierarchical active optimization method for active distribution networks considering bidirectional coordination of transmission and distribution networks[J/OL]. Southern Power System Technology, 2023: 1–14. (2023-11-20). https://kns.cnki.net/kcms/detail/44.1643.TK.20231117.1538.002.html.
25	林敏洪, 侯祖锋, 王超, 等. 基于分布式内点法的输配协同优化调度[J]. 可再生能源, 2020, 38 (9): 1226- 1232. DOI
	LIN Minhong, HOU Zufeng, WANG Chao, et al. Optimal dispatch for transmission distribution coordination system based on distributed interior point method[J]. Renewable Energy Resources, 2020, 38 (9): 1226- 1232. DOI
26	李鹏, 习伟, 李鹏, 等. 基于边缘计算的配电网数字化转型关键问题分析与展望[J]. 电力系统自动化, 2024, 48 (6): 29- 41.
	LI Peng, XI Wei, LI Peng, et al. Analysis of key issues and prospect for digital transformation of distribution networks based on edge computing[J]. Automation of Electric Power Systems, 2024, 48 (6): 29- 41.
27	TAYLOR J A, HOVER F S. Conic AC transmission system planning[J]. IEEE Transactions on Power Systems, 2013, 28 (2): 952- 959. DOI
28	田书欣, 李昆鹏, 魏书荣, 等. 基于同步相量测量装置的配电网安全态势感知方法[J]. 中国电机工程学报, 2021, 41 (2): 617- 632.
	TIAN Shuxin, LI Kunpeng, WEI Shurong, et al. Security situation awareness approach for distribution network based on synchronous phasor measurement unit[J]. Proceedings of the CSEE, 2021, 41 (2): 617- 632.
29	MISHRA D K, GHADI M J, AZIZIVAHED A, et al. A review on resilience studies in active distribution systems[J]. Renewable and Sustainable Energy Reviews, 2021, 135, 110201. DOI
30	贾善翔, 彭克, 李喜东, 等. 基于智能软开关的柔性互联交直流配电系统分布式优化[J]. 电力系统自动化, 2021, 45 (8): 95- 103.
	JIA Shanxiang, PENG Ke, LI Xidong, et al. Distributed optimization of flexible interconnected AC/DC distribution system based on soft open point[J]. Automation of Electric Power Systems, 2021, 45 (8): 95- 103.
31	吉兴全, 刘健, 张玉敏, 等. 计及运行灵活性约束的综合能源系统优化调度[J]. 电力系统自动化, 2022, 46 (16): 84- 94.
	JI Xingquan, LIU Jian, ZHANG Yumin, et al. Optimal dispatching of integrated energy system considering operation flexibility constraints[J]. Automation of Electric Power Systems, 2022, 46 (16): 84- 94.
32	吉兴全, 刘健, 叶平峰, 等. 计及灵活性与可靠性的综合能源系统优化调度[J]. 电力系统自动化, 2023, 47 (8): 132- 144. DOI
	JI Xingquan, LIU Jian, YE Pingfeng, et al. Optimal scheduling of integrated energy system considering flexibility and reliability[J]. Automation of Electric Power Systems, 2023, 47 (8): 132- 144. DOI
33	郝文斌, 孟志高, 张勇, 等. 新型电力系统下多分布式电源接入配电网承载力评估方法研究[J]. 电力系统保护与控制, 2023, 51 (14): 23- 33.
	HAO Wenbin, MENG Zhigao, ZHANG Yong, et al. Carrying capacity evaluation of multiple distributed power supply access to the distribution network with the background of a new power system[J]. Power System Protection and Control, 2023, 51 (14): 23- 33.

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