基于博弈论的互联微电网多主体协同优化配置

doi:10.16180/j.cnki.issn1007-7820.2021.07.008

摘要/Abstract

摘要：

针对由多个可电能互供的微电网组成的互联微电网规划配置问题,文中利用博弈论非合作协同优化机理,建立基于运营交互情形的互联微电网规划建设非合作博弈模型。该模型以分属不同主体微电网为博弈参与者,各参与者以投资建设运营全寿命周期收益-成本函数等年值最大为优化目标,利用整数规划粒子群算法求解该问题的纳什均衡。仿真结果表明,文中所提出的互联微电网优化配置模型在不同微电网所属主体的规划决策相互影响的情形下,可以为规划建设方提供决策理论依据。

关键词: 微电网规划, 互联微电网, 非合作博弈, 等年值, 整数规划, 纳什均衡, 全寿命周期, 协同优化

Abstract:

In view of the problem of planning and configuration of interconnected microgrids, which is composed of multiple microgrids with mutual power supply, a non-cooperative game model of planning and construction of interconnected microgrids is established based on the non-cooperative synergistic optimization mechanism of game theory. In this model, microgrid belonging to different entities is taken as game participant. The optimization goal of each participant is to maximize the annual value of the profit-cost function of the whole life cycle of investment, construction and operation. The Nash equilibrium of this problem is solved using the particle swarm optimization algorithm of integer programming. The simulation results show that the optimal allocation model of interconnected microgrid proposed in this study can provide decision-making theoretical basis for the planning and construction parties in the case of the interaction of planning decisions of different microgrid owners.

Key words: micro grid planning, inter connected microgrids, non-cooper ative game, annual value, integer programming, Nash equilibrium, life cycle cost, synergistic optimization

中图分类号:

TP202

梁龙基,张靖,何宇,曾希皙,陈朝宽. 基于博弈论的互联微电网多主体协同优化配置[J]. 电子科技, 2021, 34(7): 43-49.

LIANG Longji,ZHANG Jing,HE Yu,ZENG Xixi,CHEN Chaokuan. Optimal Coordination Sizing Analysis of Different Entities Interconnected Microgrids Based on Game Theory[J]. Electronic Science and Technology, 2021, 34(7): 43-49.

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名称	规格	购置成本	运行维护费
光伏	9.8 kW	0.4万元/kW	10元/kW/年
风机	10 kW	1万元/台	5元/台/年
储能电池	5 kW/13.5 kW·h	2.1万元/台	5元/台/年

名称	数值	名称	数值
v_ci	4 m·s^-1	σ_e	21.5%
v_N	15 m·s^-1	V_deal	5
v_oc	25 m·s^-1	R₁	0.3
P_{PV_MAX}	70	R₂	0.3
η_c	80%	l	10
η_d	80%	b	0.05
δ	0.2	N_{WT_MAX}	50
T_calendar	10	N_{PV_MAX}	50
r	0.03	N_{BAT_MAX}	50
N₀	5 000	SOC_min	0.2
k_p	0.5	SOC_max	0.8
PR_deal	0.4	E_{ex_MAX}	3 000 kW
PR_gq	0.6	E_{sur_MAX}	5 000 kW
PR_g	1	ε	3

参与者	博弈前/万元	博弈后/万元
MG1	2.319	2.934
MG2	17.362	25.301
MG3	8.842	9.667

参与者	风力发电	光伏发电	储能电池
MG₁	5	20	8
MG₂	7	40	4
MG₃	5	13	0

激励/万元	MG₁	MG₂	MG₃
5.0	(5,20,8)	(7,40,4)	(5,13,0)
5.5	(7,11,0)	(21,27,0)	(2,0,30)
6.0	(0,30,10)	(0,40,40)	(0,15,40)
6.5	(10,30,9)	(18,40,9)	(18,10,40)
7.0	(4,40,10)	(21,40,30)	(11,10,30)