考虑源荷多区间不确定集和综合需求响应的微能源网鲁棒优化调度

doi:10.16183/j.cnki.jsjtu.2023.022

摘要/Abstract

摘要：

针对微能源网内源荷不确定性,提出一种考虑源荷多区间不确定集和综合需求响应的鲁棒优化调度策略.首先,引入源荷多区间不确定集描述微能源网内风、光及电、热、冷负荷的不确定性.然后,为了充分挖掘负荷侧调度潜力,建立包含可削减电负荷、可转移电负荷、柔性冷、热负荷及可替代负荷的综合需求响应模型,并在此基础上考虑了综合需求响应的不确定性.接着,以微能源网调度成本最低为目标函数,构建考虑源荷多区间不确定集和综合需求响应的微能源网两阶段鲁棒优化调度模型,并通过列和约束生成算法、强对偶理论及大M法对模型进行求解.最后,通过算例分析验证了所提模型的合理性和有效性.

关键词: 微能源网, 两阶段鲁棒优化, 综合需求响应, 源荷多区间不确定集, 列和约束生成算法

Abstract:

Aiming at the uncertainty of the source and load in micro energy grid, a robust optimal scheduling model considering multi-interval uncertainty set of source-load and integrated demand response is proposed. First, considering the uncertainty of wind power, photovoltaic output and electric, and thermal and cooling loads in the micro energy grid, a multi-interval uncertainty set of source-load is established. Then, in order to fully tap the potential of load side dispatching, an integrated demand response model is established, which includes reducible electric load, transferable electric load, flexible cooling, heating load, and replaceable load, based on which, the uncertainty of integrated demand response is considered. Afterwards, with the lowest dispatching cost of micro energy grid as the objective function, a two-stage robust optimal scheduling model of micro energy network is constructed, which considers the multi-interval uncertainty set of source load and the integrated demand response. The model is solved by the column and constraint generation algorithm, the strong duality theory, and the large M method. Finally, the rationality and effectiveness of the proposed model are verified through the analysis of numerical examples.

Key words: micro energy grid, two-stage robust optimization, integrated demand response, multi interval uncertainty set of source-load, column and constraint generation algorithm

中图分类号:

TM732

米阳, 付起欣, 赵海辉, 马思源, 王育飞. 考虑源荷多区间不确定集和综合需求响应的微能源网鲁棒优化调度[J]. 上海交通大学学报, 2024, 58(9): 1323-1333.

MI Yang, FU Qixin, ZHAO Haihui, MA Siyuan, WANG Yufei. Robust Optimal Scheduling of Micro Energy Grid Considering Multi-Interval Uncertainty Set of Source-Load and Integrated Demand Response[J]. Journal of Shanghai Jiao Tong University, 2024, 58(9): 1323-1333.

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设备名称	效率	容量	运维费用/ [元·( kW·h)^-1]
热电联产机组	0.25(电), 0.48(热)	500 kW	0.0045
燃气锅炉	0.8	400 kW	0.0043
吸收式制冷机	1.1	200 kW	0.003
电储能设备	0.95	200 kW·h	0.1
热储能设备	0.9	150 kW·h	0.05
气储能设备	0.95	200 kW·h	0.05
冷储能设备	0.88	100 kW·h	0.05

时间	购/售电价格	购气价格
1:00—7:00	0.41/0.246	0.21
8:00—10:00, 23:00—24:00	0.74/0.444	0.33
11:00—22:00	1.10/0.660	0.41

场景	总成本	购能成本	设备维护成本	IDR成本
1	8528.4	8410.8	117.6	0
2	8279.7	7823.5	117.6	338.5
3	8173.7	7534.6	114.5	524.5
4	8090.3	7454.3	111.4	524.5

模型	总成本	购能成本	设备维护成本	IDR成本
1	7695.7	6946.9	109.0	639.8
2	8236.7	7486.5	110.4	639.8
3	7994.9	7245.3	109.8	639.8
4	8090.3	7454.3	111.4	524.5

Γ_pv,_k	Γ_wt,_k	Γ_e,_k	Γ_c,_k	Γ_h,_k	Γ_IDR	总成本/元
(0, 0, 0)	(0, 0, 0)	(0, 0)	(0, 0)	(0, 0)	0	7695.7
(0, 2, 1)	(2, 3, 1)	(4, 2)	(4, 2)	(4, 2)	6	7926.4
(2, 3, 1)	(5, 5, 2)	(9, 3)	(9, 3)	(9, 3)	12	8090.3
(5, 5, 2)	(10, 10, 4)	(18, 6)	(18, 6)	(18, 6)	24	8271.3