Collaborative Planning Method for Multi-energy Networks Based on Double-layer Game Theory

doi:10.11930/j.issn.1004-9649.202402068

Abstract

Abstract:

The increasing conflict of interests among multiple stakeholders in the integrated energy system has increased the difficulty of system planning and modeling. In the research of integrated energy systems, the system is divided into energy suppliers, integrated energy stations, and user entities. Combining the theory of master-slave game and cooperative game, a two-level game planning model for integrated energy systems applicable to multiple entities is established, and corresponding solving methods are proposed. The effectiveness of the proposed method is verified through simulation examples.

Key words: integrated energy system, multi-subject game, dual-layer planning

Hai LU, Hao ZHANG, Xiaoyun CHEN, Suyang ZHOU. Collaborative Planning Method for Multi-energy Networks Based on Double-layer Game Theory[J]. Electric Power, 2025, 58(1): 93-99.

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URL: https://www.electricpower.com.cn/EN/10.11930/j.issn.1004-9649.202402068

https://www.electricpower.com.cn/EN/Y2025/V58/I1/93

Figures/Tables 8

Fig.1 Integrated energy system model architecture and energy flow

Fig.2 A framework for modeling energy supplier-integrated energy station-user two-tier games

Fig.3 Flow of the algorithm for solving the two-level game planning model

Fig.4 Pareto Frontier and Nash Negotiation Solution

Fig.5 Convergence curve of energy suppliers' revenues

Fig.6 Convergence curve of revenue from integrated energy stations

Fig.7 User revenue convergence curve

Table 1 Utility function values of various agents 单位：万元

编号	状态	能源供应商	综合能源站	用户	联盟	总成本
模型1	初始	3 312.41	3 507.81	–15 805.32	6 820.22	8 985.10
模型1	均衡	1 885.92	1 960.22	–12 155.25	3 846.14	8 309.11
模型2	初始	4 329.33	3 602.14	–16 046.17	4 689.68	11 356.61
模型2	均衡	1 771.50	1 852.62	–12 149.85	3 624.12	8 525.73

References 22

1	吕志鹏, 宋振浩, 李立生, 等. 含电动汽车的工业园区综合能源系统优化调度[J]. 中国电力, 2024, 57 (4): 25- 31.
	LV Zhipeng, SONG Zhenhao, LI Lisheng, et al. Optimization scheduling of integrated energy system scheduling in industrial park containing electric vehicles[J]. Electric Power, 2024, 57 (4): 25- 31.
2	胡竞秋, 张轩, 严心然, 等. 基于主客观赋权法的综合能源系统效益评估方法[J]. 广东电力, 2023, 36 (1): 1- 8.
	HU Jingqiu, ZHANG Xuan, YAN Xinran, et al. Benefit evaluation method of comprehensive energy system based on subjective and objective weighting method[J]. Guangdong Electric Power, 2023, 36 (1): 1- 8.
3	钱俊杰, 徐懂理, 袁乐, 等. 计及全过程碳足迹和灵活输出模型的综合能源系统低碳经济运行[J]. 广东电力, 2023, 36 (10): 19- 29.
	QIAN Junjie, XU Dongli, YUAN Le, et al. Low-carbon economic operation model of integrated energy system considering the whole process carbon footprint and flexible output models[J]. Guangdong Electric Power, 2023, 36 (10): 19- 29.
4	伏绍鑫, 张路, 唐翰峰, 等. 考虑柔性电热负荷的区域综合能源系统低碳经济调度[J]. 电力科技与环保, 2023, 39 (5): 417- 428.
	FU Shaoxin, ZHANG Lu, TANG Hanfeng, et al. Low-carbon economic dispatch of community integrated energy system considering flexible electric heating load[J]. Electric Power Technology and Environmental Protection, 2023, 39 (5): 417- 428.
5	刘子华, 曹瑞峰, 赵志扬, 等. 基于碳排放流的综合能源系统碳排放监测方法[J]. 浙江电力, 2023, 42 (10): 65- 72.
	LIU Zihua, CAO Ruifeng, ZHAO Zhiyang, et al. A carbon emission monitoring method for integrated energy systems based on carbon emission flow[J]. Zhejiang Electric Power, 2023, 42 (10): 65- 72.
6	盖超, 张凯, 陈佳, 等. 考虑需求响应的典型场景综合能源系统规划研究[J]. 山东电力技术, 2023, 50 (11): 75- 86.
	GAI Chao, ZHANG Kai, CHEN Jia, et al. Research on the planning for integrated energy system planning of typical scenarios considering demand response[J]. Shandong Electric Power, 2023, 50 (11): 75- 86.
7	薛溟枫, 毛晓波, 肖浩, 等. 基于联邦学习的综合能源微网群协同优化运行方法[J]. 中国电力, 2023, 56 (12): 164- 173.
	XUE Mingfeng, MAO Xiaobo, XIAO Hao, et al. Cooperative operation optimization for integrated energy microgrid groups based on federated learning[J]. Electric Power, 2023, 56 (12): 164- 173.
8	陈勇, 芮俊, 肖雷鸣, 等. 基于动态主从博弈模型的综合能源系统碳交易方法[J]. 浙江电力, 2024, 43 (4): 51- 62.
	CHEN Yong, RUI Jun, XIAO Leiming, et al. A carbon trading method for integrated energy systems based on a dynamic masterslave game model[J]. Zhejiang Electric Power, 2024, 43 (4): 51- 62.
9	呼斯乐, 王渊, 于源, 等. 考虑风光不确定性与灵活性指标的园区综合能源系统最优调度[J]. 内蒙古电力技术, 2024, 42 (1): 15- 21.
	HU Sile, WANG Yuan, YU Yuan, et al. Optimal dispatching of integrated energy system in industrial parks considering wind and solar uncertainty and flexibility indicators[J]. Inner Mongolia Electric Power, 2024, 42 (1): 15- 21.
10	李博, 石红晖, 马强, 等. 风电-火电-压缩空气储能综合能源系统运行特性研究[J]. 电力科技与环保, 2024, 40 (2): 168- 177.
	LI Bo, SHI Honghui, MA Qiang, et al. The operating characteristics research of integrated energy system based on the wind, coal-fired power plant and compressed air energy storage[J]. Electric Power Technology and Environmental Protection, 2024, 40 (2): 168- 177.
11	刘一童, 李本新. 计及风电相关性的电-气综合能源系统概率能量流分析[J]. 东北电力大学学报, 2023, 43 (2): 39- 47.
	LIU Yitong, LI Benxin. Probabilistic energy flow analysis for electricity-gas integrated energy systems with wind power correlation[J]. Journal of Northeast Electric Power University, 2023, 43 (2): 39- 47.
12	范建斌, 孟昭军, 单沫文, 等. 综合能源系统关键技术与国际标准化综述[J]. 电网与清洁能源, 2023, 39 (12): 1- 9.
	FAN Jianbin, MENG Zhaojun, SHAN Mowen, et al. A review of key technologies and international standardization of multi energy coupling systems[J]. Power System and Clean Energy, 2023, 39 (12): 1- 9.
13	高晗, 李正烁. 考虑电转气响应特性与风电出力不确定性的电-气综合能源系统协调调度[J]. 电力自动化设备, 2021, 41 (9): 24- 30.
	GAO Han, LI Zhengshuo. Coordinated scheduling of integrated electricity-gas energy system considering response characteristic of power-to-gas and wind power uncertainty[J]. Electric Power Automation Equipment, 2021, 41 (9): 24- 30.
14	娄素华, 吕梦璇, 王永灿, 等. 考虑投资风险的含风电系统电源投资扩展规划研究[J]. 中国电机工程学报, 2019, 39 (7): 1944- 1956.
	LOU Suhua, LÜ Mengxuan, WANG Yongcan, et al. Generation investment expansion planning for wind power accommodation considering investment risk[J]. Proceedings of the CSEE, 2019, 39 (7): 1944- 1956.
15	DONG Y C, ZHANG H L, MA P, et al. A hybrid robust-interval optimization approach for integrated energy systems planning under uncertainties[J]. Energy, 2023, 274, 127267. DOI
16	HE S J, GAO H J, WANG L F, et al. Distributionally robust planning for integrated energy systems incorporating electric-thermal demand response[J]. Energy, 2020, 213, 118783. DOI
17	吕佳炜, 张沈习, 程浩忠, 等. 考虑互联互动的区域综合能源系统规划研究综述[J]. 中国电机工程学报, 2021, 41 (12): 4001- 4020.
	LV Jiawei, ZHANG Shenxi, CHENG Haozhong, et al. Review on district-level integrated energy system planning considering interconnection and interaction[J]. Proceedings of the CSEE, 2021, 41 (12): 4001- 4020.
18	杨玉强, 胡若云. 基于DBSCAN算法的售电均价异常识别模型构建与应用[J]. 浙江电力, 2023, 42 (4): 72- 78.
	YANG Yuqiang, HU Ruoyun. Construction and application of the identification model of average electricity selling price anomaly based on the DBSCAN algorithm[J]. Zhejiang Electric Power, 2023, 42 (4): 72- 78.
19	王鹤霏, 蔡国伟, 吴同, 等. 基于供用能双侧多主体博弈互动的综合能源系统优化调度策略[J]. 东北电力大学学报, 2024, 44 (1): 83- 93.
	WANG Hefei, CAI Guowei, WU Tong, et al. Optimization and scheduling strategy for comprehensive energy systems based on bilateral multi-agent game interaction between energy supply and demand[J]. Journal of Northeast Electric Power University, 2024, 44 (1): 83- 93.
20	朱祖祥, 朱革兰, 秦飞翔. 基于博弈的多综合能源微网系统优化运行策略[J]. 广东电力, 2023, 36 (2): 52- 65.
	ZHU Zuxiang, ZHU Gelan, QIN Feixiang. Optimal operation strategy of multi-integrated energy microgrid system based on game[J]. Guangdong Electric Power, 2023, 36 (2): 52- 65.
21	王再闯, 陈来军, 李笑竹, 等. 基于合作博弈的能源共享模式下多园区低碳优化调度[J]. 高电压技术, 2023, 49 (4): 1380- 1391.
	WANG Zaichuang, CHEN Laijun, LI Xiaozhu, et al. Multi-park low-carbon optimal scheduling under energy sharing mode based on cooperative game[J]. High Voltage Engineering, 2023, 49 (4): 1380- 1391.
22	陆海. 系统约束模型 2024[EB/OL]. (2024-01-12) [2024-02-27]. https://seunic-my.sharepoint.cn/:w:/g/personal/220213085_seu_edu_cn/EfJydBp4DnZAjocI_n9Aib4BBUeQrUctDURd8V6bxZLmew?e=9Yp5QQ.

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