考虑海缆实际载流量的海上风电集电系统拓扑优化

doi:10.11930/j.issn.1004-9649.202307014

中国电力 ›› 2024, Vol. 57 ›› Issue (7): 173-181.DOI: 10.11930/j.issn.1004-9649.202307014

考虑海缆实际载流量的海上风电集电系统拓扑优化

叶婧¹^,²(), 蔡俊文¹^,²(), 张磊¹^,²(), 周广浩³, 何杰辉¹^,², 翟学⁴

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（三峡大学），湖北宜昌　443002
3. 国网浙江省电力有限公司台州供电公司，浙江台州　318000
4. 湖北省电力勘测设计院有限公司，湖北武汉　430040

收稿日期:2023-07-04 接受日期:2024-05-21 出版日期:2024-07-28 发布日期:2024-07-23
作者简介:叶婧（1986—），女，博士，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，E-mail：yejing2000310@163.com
蔡俊文（1999—），男，硕士研究生，从事大规模海上风电场集电系统拓扑优化研究，E-mail：755673668@qq.com
张磊（1986—），男，通信作者，博士，副教授，从事人工智能技术在电力系统运行控制中的应用研究，E-mail：leizhang3188@163.com
基金资助:
国家自然科学基金资助项目（52007103）。

Topology Optimization of Offshore Wind Power Collection System Considering Actual Carrying Capacity of Submarine Cables

Jing YE¹^,²(), Junwen CAI¹^,²(), Lei ZHANG¹^,²(), Guanghao ZHOU³, Jiehui HE¹^,², Xue ZHAI⁴

1. College of Electrical Engineering and New Energy, Three Gorges University, Yichang 443002, China
2. Hubei Key Laboratory of Cascaded Hydropower Station Operation & Control (Three Gorges University), Yichang 443002, China
3. State Grid Zhejiang Electric Power Co., Ltd. Taizhou Power Supply Company, Taizhou 318000, China
4. Hubei Electric Power Survey and Design Institute Co., Ltd., Wuhan 430040, China

Received:2023-07-04 Accepted:2024-05-21 Online:2024-07-28 Published:2024-07-23
Supported by:
This work is supported by the National Natural Science Foundation of China (No.52007103).

摘要/Abstract

摘要：

海缆实际载流量是海缆选型的重要依据，在海上风电场集电系统拓扑优化中，考虑不同敷设区段海缆载流量存在的差异以及海缆多回路并联敷设时磁热效应对载流量的影响，对保障集电系统的安全性具有重要意义。首先，采用模糊C均值算法对风机进行聚类分区，将集电系统拓扑优化分解为分区内、外拓扑优化。然后，在分区内采用基于Voronoi图的拓扑搜索算法进行求解；在分区外拓扑优化中，考虑海缆瓶颈区段、回路数对载流量的影响，构建混合整数非线性优化模型，线性化后采用优化求解器GUROBI进行求解。最后，以某实际风电场为例进行仿真验证。结果表明，所提模型能保证海缆实际载流量始终大于海缆工作电流，可有效保障集电系统的安全性。

关键词: 海上风电场, 集电系统, 拓扑优化, 载流量, 回路数

Abstract:

The actual carrying capacity of submarine cables is important evidence for submarine cable selection, and in the topology optimization of offshore wind power collection systems, it is of great significance to consider the differences in carrying capacity of submarine cables in different laying sections and the effects of magnetic heat effect on the carrying capacity of the submarine cable laying in parallel with multiple circuits, which can ensure the safety of the power collection system. Firstly, the wind turbines were divided into clustered partitions using the fuzzy C-mean algorithm, and the power collection system topology was divided into intra-partition and extra-partition topology optimization. Then, a topological search algorithm based on Voronoi diagrams was used for the solution within the partition. Subsequently, in the extra-partition topology optimization, the impact of the submarine cable bottleneck section and the number of circuits on the carrying capacity was considered, and a mixed integer nonlinear optimization model was built. After linearization, the model was solved by the optimization solver GUROBI. Finally, an actual wind farm was used as a case for simulation verification. The results show that the proposed model can ensure the actual carrying capacity of the submarine cable is greater than the working current, and it effectively ensures the safety of the power collection system.

Key words: offshore wind farm, power collection system, topology optimization, carrying capacity, number of circuits

叶婧, 蔡俊文, 张磊, 周广浩, 何杰辉, 翟学. 考虑海缆实际载流量的海上风电集电系统拓扑优化[J]. 中国电力, 2024, 57(7): 173-181.

Jing YE, Junwen CAI, Lei ZHANG, Guanghao ZHOU, Jiehui HE, Xue ZHAI. Topology Optimization of Offshore Wind Power Collection System Considering Actual Carrying Capacity of Submarine Cables[J]. Electric Power, 2024, 57(7): 173-181.

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链接本文: https://www.electricpower.com.cn/CN/10.11930/j.issn.1004-9649.202307014

https://www.electricpower.com.cn/CN/Y2024/V57/I7/173

图/表 12

参考文献 22

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海缆截面积/ mm²	海底敷设载流量/A	J型管敷设载流量/A	空气敷设载流量/A	电阻/ (Ω·km^–1)	电感/ (mH·km^–1)	购置成本/ (万元·km^–1)
3×70	251	246	279	0.342	0.483	73.5
3×95	297	293	333	0.246	0.461	78.5
3×120	335	334	379	0.196	0.445	83.4
3×150	374	377	427	0.159	0.431	92.5
3×185	416	422	478	0.127	0.415	98.9
3×240	474	487	550	0.097 6	0.399	113.9
3×300	525	546	615	0.077 8	0.385	133.2
3×400	577	637	714	0.061 4	0.374	151.0

海缆截面积/ mm²	海底敷设载流量/A	J型管敷设载流量/A	空气敷设载流量/A	电阻/ (Ω·km^–1)	电感/ (mH·km^–1)	购置成本/ (万元·km^–1)
3×70	251	246	279	0.342	0.483	73.5
3×95	297	293	333	0.246	0.461	78.5
3×120	335	334	379	0.196	0.445	83.4
3×150	374	377	427	0.159	0.431	92.5
3×185	416	422	478	0.127	0.415	98.9
3×240	474	487	550	0.097 6	0.399	113.9
3×300	525	546	615	0.077 8	0.385	133.2
3×400	577	637	714	0.061 4	0.374	151.0

电缆回路数/根		修正系数
1		1.00
2		0.88
3		0.82
4		0.79
6		0.76
······		······

电缆回路数/根		修正系数
1		1.00
2		0.88
3		0.82
4		0.79
6		0.76
······		······

分区编号	升压站编号	空气敷设	海底敷设	J型管敷设	瓶颈段载流量
2	2	692.96	770.44	769.08	692.96
4	2	579.50	594.31	649.74	579.50
1	1	646.00	594.31	649.74	594.31
11	1	556.24	540.75	556.92	540.75
13	1	386.24	385.22	384.54	384.54
23	1	386.24	385.22	384.54	384.54

考虑海缆实际载流量的海上风电集电系统拓扑优化

Topology Optimization of Offshore Wind Power Collection System Considering Actual Carrying Capacity of Submarine Cables

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图/表 12

参考文献 22

相关文章 8

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Metrics

方案	1号升压站回路数/根	2号升压站回路数/根
方案1修正前	18	17
方案1修正后	19	22
方案2	20	16

方案	馈线敷设长度/km	馈线海缆成本/万元	馈线海缆线损/MW
方案1修正前	157.43	31859.20	11.87
方案1修正后	157.43	34513.37	10.56
方案2	159.99	33243.15	10.71

分区编号	连接升压站编号	工作电流/ A	修正前			修正后
分区编号	连接升压站编号	工作电流/ A	海缆载流量/A	海缆截面/mm²	瓶颈段	海缆实际载流量/A	海缆截面/mm²	瓶颈段
1	1	583.428	594.31	3×400	海底	647.52	2×3×150	空气
2	2	656.357	681.36	2×3×120	J型管	692.96	2×3×150	空气
3	1	510.500	540.75	3×300	海底	541.50	3×400	空气
4	2	510.500	540.75	3×300	海底	579.50	3×400	空气
5	2	583.428	594.31	3×400	海底	614.88	2×3×120	空气
6	2	510.500	540.75	3×300	海底	579.50	3×400	空气
7	1	583.428	594.31	3×400	海底	647.52	2×3×150	空气
8	2	656.357	681.36	2×3×120	J型管	692.96	2×3×150	空气
9	2	656.357	681.36	2×3×120	J型管	692.96	2×3×150	空气
10	2	656.357	681.36	2×3×120	J型管	692.96	2×3×150	空气
11	1	510.500	540.75	3×300	海底	541.50	3×400	空气
12	2	510.500	540.75	3×300	海底	579.50	3×400	空气
13	1	364.643	384.54	3×150	J型管	417.24	3×240	空气
14	2	656.357	681.36	2×3×120	J型管	692.96	2×3×150	空气
15	1	510.500	540.75	3×300	海底	541.50	3×400	空气
16	1	510.500	540.75	3×300	海底	541.50	3×400	空气
17	2	510.500	540.75	3×300	海底	579.50	3×400	空气
18	2	437.571	488.22	3×240	海底	446.52	3×240	空气
19	2	510.500	540.75	3×300	海底	579.50	3×400	空气
20	1	583.428	594.31	3×400	海底	647.52	2×3×150	空气
21	1	583.428	594.31	3×400	海底	647.52	2×3×150	空气
22	1	510.500	540.75	3×300	海底	541.50	3×400	空气
23	1	364.643	384.54	3×150	J型管	417.24	3×240	空气
24	1	510.500	540.75	3×300	海底	541.50	3×400	空气
25	1	583.428	594.31	3×400	海底	647.52	2×3×150	空气
26	1	510.500	540.75	3×300	海底	541.50	3×400	空气
27	2	437.571	488.22	3×240	海底	446.52	3×240	空气
28	1	510.500	540.75	3×300	海底	541.50	3×400	空气
29	1	437.571	488.22	3×240	海底	466.26	3×300	空气
30	1	510.500	540.75	3×300	海底	541.50	3×400	空气

分区编号	连接升压站编号	工作电流/A	海缆实际载流量/A	海缆截面/ mm²	瓶颈段
1	1	583.428	594.31	3×400	海底
2	2	656.357	692.96	2×3×150	空气
3	1	510.500	540.75	3×300	海底
4	2	510.500	579.50	3×400	空气
5	2	583.428	614.88	2×3×120	空气
6	2	510.500	579.50	3×400	空气
7	1	583.428	594.31	3×400	海底
8	2	656.357	692.96	2×3×150	空气
9	2	656.357	692.96	2×3×150	空气
10	2	656.357	692.96	2×3×150	空气
11	1	510.500	540.75	3×300	海底
12	2	510.500	579.50	3×400	空气
13	1	364.643	384.54	3×150	J型管
14	2	656.357	692.96	2×3×150	空气
15	1	510.500	540.75	3×300	海底
16	1	510.500	540.75	3×300	海底
17	2	510.500	579.50	3×400	空气
18	2	437.571	446.52	3×240	空气
19	2	510.500	579.50	3×400	空气
20	1	583.428	594.31	3×400	海底
21	1	583.428	594.31	3×400	海底
22	2	510.500	579.50	3×400	空气
23	1	364.643	384.54	3×150	J型管
24	1	510.500	540.75	3×300	海底
25	1	583.428	594.31	3×400	海底
26	1	510.500	540.75	3×300	海底
27	2	437.571	446.52	3×240	空气
28	1	510.500	540.75	3×300	海底
29	1	437.571	488.22	3×240	海底
30	1	510.500	540.75	3×300	海底

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[8]	丁明，马彪，韩平平. 用P-V分析法比较几种风电场静态等值建模[J]. 中国电力, 2013, 46(1): 26-29.

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考虑海缆实际载流量的海上风电集电系统拓扑优化

Topology Optimization of Offshore Wind Power Collection System Considering Actual Carrying Capacity of Submarine Cables

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