计及公平性的多能合作博弈鲁棒优化调度

doi:10.3969/j.issn.2097-0706.2023.02.002

综合智慧能源 ›› 2023, Vol. 45 ›› Issue (2): 10-21.doi: 10.3969/j.issn.2097-0706.2023.02.002

计及公平性的多能合作博弈鲁棒优化调度

王芸芸²(), 马志程³(), 周强³(), 董海鹰^*()

1.兰州交通大学 a.自动化与电气工程学院； b.新能源与动力工程学院兰州 730070
2.中车株洲电力机车研究所有限公司风电事业部，湖南株洲 412007
3.国网甘肃省电力公司电力科学研究院，兰州 730070

收稿日期:2022-09-16 修回日期:2022-10-10 出版日期:2023-02-25 发布日期:2023-03-14
通讯作者: *董海鹰（1966），男，教授，博士生导师，博士，从事电力系统运行与优化控制、新能源发电等方面的研究，hydong@mail.lzjtu.cn。
作者简介:王芸芸（1996），女，在读硕士研究生，从事电力系统和综合能源系统方面的研究，wangyunyun2019@126.com；
马志程（1969），男，高级工程师，硕士，从事电力系统、信息通信技术等方面的研究，mazc@gs.sgcc.com.cn；
周强（1985），男，高级工程师，硕士，从事电力系统研究，2928503489@qq.com。
基金资助:
甘肃省科技重大专项计划项目(19ZD2GA003)

Robust optimal scheduling of multi-energy cooperative game considering fairness

WANG Yunyun²(), MA Zhicheng³(), ZHOU Qiang³(), DONG Haiying^*()

1.a. China School of Automation &Electrical Engineering； b. School of New Energy and Power Engineering，Lanzhou Jiaotong University，Lanzhou 730070，China
2. Wind Power Business Unit，CRRC Zhuzhou Institute Company Limited，Zhuzhou 412007，China
3. Electric Power Research Institute of State Grid Gansu Electric Power Company，Lanzhou 730070，China

Received:2022-09-16 Revised:2022-10-10 Online:2023-02-25 Published:2023-03-14
Supported by:
Major Projects of Science and Technology in Gansu Province(19ZD2GA003);Tianyou innovation team of Lanzhou Jiaotong University(TY202009)

摘要/Abstract

摘要：

针对电力市场环境下多能协调优化运行系统中风电、光伏出力不确定性问题，提出了一种计及公平性的风光储多源合作博弈鲁棒优化调度模型。构建了以风力发电、光伏发电、抽水蓄能电站和光热电站为发电单元的多源发电系统，在发电系统内部建立计及公平性的合作博弈优化调度模型；在合作博弈模型的基础上，结合鲁棒优化理论，引入鲁棒因子，将含有不确定性的约束条件转化为确定性约束，实现模型的鲁棒化。以甘肃某地区电网为例进行算例分析，分析结果表明：模型具有灵活性，能适应不同稳定性要求下的运行需求，系统运营者可通过调整鲁棒系数来调节对系统随机性的容忍度；相比于非合作博弈情景下的收益，采用合作博弈时系统的总体收益高，能够充分发挥合作博弈的优势，促进新能源联合系统的可靠运行。

关键词: 多源发电系统, 可再生能源, 抽水蓄能电站, 光热电站, 博弈论, 鲁棒优化调度, 调度公平性, 碳中和

Abstract:

In view of the uncertainty of wind and photovoltaic outputs in multi-energy coordinated optimal operation system under electricity market environment， a robust optimal scheduling model of wind-PV-storage multi-energy cooperative game considering fairness is proposed. Firstly， a multi-energy power system integrated with wind power generators， photovoltaic power generators， pumped storage power stations and photovoltaic thermal power stations （CSPs） is constructed， then a cooperative game optimization scheduling model considering fairness for this power system is established. On the basis of the cooperative game model and robust optimization theory， the model gets robust by introducing robust factors to transform the uncertain constraints into deterministic constraints. The model is analyzed and verified by a power grid in Gansu Province. The analysis shows that the model is flexible and can meet the operation requirements under different stability requirements. The system operator can adjust the inclusiveness of the randomness of the system by adjusting the robust coefficient. Compared with the benefit under non-cooperative game scenario， the overall benefit of the system adopting cooperative game is higher， since giving full play to the advantages of cooperative game can promote the reliable operation of new energy integrated system.

Key words: multi-energy power system, renewable energy, pumped storage power station, CSP, game theory, robust optimal scheduling, scheduling fairness, carbon neutrality

中图分类号:

TK019：TM61

王芸芸, 马志程, 周强, 董海鹰. 计及公平性的多能合作博弈鲁棒优化调度[J]. 综合智慧能源, 2023, 45(2): 10-21.

WANG Yunyun, MA Zhicheng, ZHOU Qiang, DONG Haiying. Robust optimal scheduling of multi-energy cooperative game considering fairness[J]. Integrated Intelligent Energy, 2023, 45(2): 10-21.

图/表 14

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联盟				一天的收益
W	P	H	C	W	P	H	C
√				511.360	0	0	0
	√			0	309.390	0	0
		√		0	0	862.610	0
			√	0	0	0	284.580
√	√	√	√	1 693.800	760.990	983.870	2 287.540
√	√	√		1 693.800	760.990	3 269.410	0
√	√		√	1 693.800	760.990	0	983.410
	√	√	√	0	866.538	2 351.920	1 693.800
√		√	√	1 693.800	0	2 318.520	1 439.690
√		√		1 693.800	0	3 666.830	0
√	√			1 693.800	737.590	0	0
	√	√		0	737.590	3 807.370	0
√			√	1 693.800	0	0	1 439.690
	√		√	0	737.590	0	1 693.800
		√	√	0	0	2 694.900	1 693.800

联盟	特征函数	边际贡献
联盟	特征函数	W	P	H	C
{W}	v{W}=0	0	0	0	0
{P}	v{P}=0	0	0	0	0
{H}	v{H}=0	0	0	0	0
{C}	v{C}=0	0	0	0	0
{WPHC}	v{WPHC}= 3 749.26	3 749.26	3 749.26	3 749.26	3 749.26
{WPH}	v{WPH}= 3 794.26	3 794.26	3 794.26	3 794.26	0
{WPC}	v{WPC}=398.71	398.71	398.71	0	398.71
{PHC}	v{PHC}= 2 980.32	0	2 980.32	2 980.32	2 980.32
{WHC}	v{WHC}= 3 520.70	3 520.70	0	3 520.70	3 520.70
{WP}	v{WP}=499.45	499.45	499.45	0	0
{HC}	v{HC}=2 456.76	0	0	2 456.76	2 456.76
{WH}	v{WH}= 5 360.63	5 360.63	0	5 360.63	0
{PH}	v{PH}=2 613.02	0	2 613.02	2 613.02	0
{WC}	v{WC}=1 201.55	1 201.55	0	0	1 201.55
{PC}	v{PC}=499.50	0	499.50	0	499.50

联盟	参与者收益
联盟	W	P	H	C
{WPHC}	974.81	599.88	1 649.67	449.91
{WPC}	986.51	607.08	1 669.45	0
{WPC}	103.66	63.79	0	47.85
{PHC}	0	476.851 2	1 311.341 0	357.638 4
{WHC}	915.38	0	1 549.11	422.48
{PC}	129.86	79.91	0	0
{WC}	0	0	1 080.974 0	294.811 2
{HC}	1 393.76	0	2 358.68	0
{WP}	0	418.08	1 149.73	0
{WH}	312.40	0	0	144.19
{PH}	0	79.92	0	59.94

计及公平性的多能合作博弈鲁棒优化调度

Robust optimal scheduling of multi-energy cooperative game considering fairness

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