考虑动态频率约束和多重不确定性的风电装机容量优化

doi:10.16183/j.cnki.jsjtu.2023.474

上海交通大学学报 ›› 2025, Vol. 59 ›› Issue (9): 1292-1303.doi: 10.16183/j.cnki.jsjtu.2023.474

• 新型电力系统与综合能源 • 上一篇下一篇

考虑动态频率约束和多重不确定性的风电装机容量优化

叶婧¹^,², 何杰辉¹^,², 张磊¹^,²(), 蔡俊文¹^,², 林宇琦¹^,², 谢继豪¹^,²

¹ 三峡大学电气与新能源学院, 湖北宜昌 443002
² 梯级水电站运行与控制湖北省重点实验室, 湖北宜昌 443002

收稿日期:2023-09-18 修回日期:2023-11-20 接受日期:2023-12-04 出版日期:2025-09-28 发布日期:2025-09-25
通讯作者: 张磊,副教授,博士生导师;E-mail:leizhang3188@163.com.
作者简介:叶婧(1986—),讲师,从事大规模新能源接入后电力系统运行与控制等研究.
基金资助:
国家自然科学基金(52007103);新型电力系统运行与控制全国重点实验室资助课题(SKLD23KM18)

Optimization of Installed Wind Power Capacity Considering Dynamic Frequency Constraints and Multiple Uncertainties

YE Jing¹^,², HE Jiehui¹^,², ZHANG Lei¹^,²(), CAI Junwen¹^,², LIN Yuqi¹^,², XIE Jihao¹^,²

¹ College of Electrical Engineering and New Energy, China Three Gorges University, Yichang 443002, Hubei, China
² Hubei Provincial Key Laboratory for Operation and Control of Cascaded Hydropower Station, Yichang 443002, Hubei, China

Received:2023-09-18 Revised:2023-11-20 Accepted:2023-12-04 Online:2025-09-28 Published:2025-09-25

摘要/Abstract

摘要：

随着风电装机容量不断增加,新型电力系统的频率安全问题愈发凸显.为了保障系统频率安全和提高系统调频能力,确定合理的风电装机规模,提出一种考虑动态频率约束以及负荷侧惯量的风电装机容量优化模型.首先,推导出含负荷侧惯量的动态频率响应模型;其次,考虑到风电、负荷以及负荷侧惯量具有不确定性,引入模糊机会约束,在计及动态频率约束的基础上,提出一种考虑多重不确定性模糊机会约束的风电装机容量优化模型,并将模型中的不确定性约束清晰等价类转换;最后,为了解决动态频率约束非线性特征问题,将优化问题分割成主问题和子问题进行求解,并以改进的10机系统验证所提模型的有效性和可行性.

关键词: 动态频率约束, 负荷侧惯量, 模糊机会约束, 多重不确定性, 风电装机容量优化

Abstract:

As the installed capacity of wind power continues to increase, the frequency security of new power system becomes increasingly significant. To guarantee the frequency security of the system, improve the frequency regulation capability of the system, and determine an optimal wind power installed capacity, a wind power installed capacity optimization model considering dynamic frequency constraints as well as load-side inertia is proposed. First, the dynamic frequency response model with load-side inertia is derived. Then, fuzzy opportunity constraints are introduced considering the uncertainty of wind power, load, and load-side inertia. Taking into account the dynamic frequency constraints, the model incorporates multiple uncertainty fuzzy opportunity constraints, in which the uncertainty constraints are clearly converted into equivalence classes. Finally, to address the dynamic frequency-constrained nonlinear characteristic, the optimization problem is partitioned into a main problem and sub-problems for solution. The validity and feasibility of the proposed model are validated by using an improved 10-machine system.

Key words: dynamic frequency constraints, load-side inertia, fuzzy chance constraints, multiple uncertainties, optimization of installed wind power capacity

中图分类号:

TM614

叶婧, 何杰辉, 张磊, 蔡俊文, 林宇琦, 谢继豪. 考虑动态频率约束和多重不确定性的风电装机容量优化[J]. 上海交通大学学报, 2025, 59(9): 1292-1303.

YE Jing, HE Jiehui, ZHANG Lei, CAI Junwen, LIN Yuqi, XIE Jihao. Optimization of Installed Wind Power Capacity Considering Dynamic Frequency Constraints and Multiple Uncertainties[J]. Journal of Shanghai Jiao Tong University, 2025, 59(9): 1292-1303.

图/表 18

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型号	P_N/MW	v_in/(m·s^-1)	v_N/(m·s^-1)	v_out/(m·s^-1)	c_in×10^-3/(美元·MW^-1)	c_pr×10^-3/(美元·MW^-1)
a	0.5	2.8	12.5	19.4	1350	36
b	1.0	3.9	11.1	25.0	1250	32
c	2.0	4.2	11.8	20.8	1120	30

机组编号	最大出力/ MW	最小出力/ MW	K_i/MW	H_a/s
1,2	455	150	25	9.3
3,4	130	20	20	8.1
5	162	25	21	8.1
6	80	20	17	5.8
7	85	25	17	5.8
8,9,10	55	10	17	5.8

模糊参数	ω₁	ω₂	ω₃	ω₄
风电	0.6	0.9	1.1	1.4
负荷	0.9	0.95	1.05	1.1
负荷侧惯量	0.9	0.95	1.05	1.1

方案	风力机类型	风电装机容量/MW	风电场净收益× 10^-9/美元
传统方案	a	741	0.816
	b	754	1.632
	c	894	1.473
本文方案	b	754	1.632

方案	风力机类型	风电装机容量/MW	风电场净收益× 10^-9/美元
1	b	754	1.632
2	b	613	1.326
3	b	683	1.479

考虑动态频率约束和多重不确定性的风电装机容量优化

Optimization of Installed Wind Power Capacity Considering Dynamic Frequency Constraints and Multiple Uncertainties

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参考文献 31

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α	风电装机容量/MW	风电场净收益×10^-9/美元
0.70	707	1.529
0.75	702	1.519
0.80	697	1.509
0.85	692	1.499
0.90	688	1.489
0.95	683	1.479

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方案	迭代次数	计算时间/s
2	7	21.923
3	4	12.940