基于二阶锥凸松弛的海上风电场内部无功优化

doi:10.12204/j.issn.1000-7229.2024.01.009

电力建设 ›› 2024, Vol. 45 ›› Issue (1): 92-101.doi: 10.12204/j.issn.1000-7229.2024.01.009

基于二阶锥凸松弛的海上风电场内部无功优化

张磊¹(), 姜贞强¹(), 倪佳华²(), 周胡¹(), 陆艳艳¹(), 项基²()

1.中国电建集团华东勘测设计研究院有限公司,杭州市 311122
2.浙江大学电气工程学院,杭州市 310027

收稿日期:2022-10-27 出版日期:2024-01-01 发布日期:2023-12-24
通讯作者: 项基 (1975),男,博士,教授,从事电力系统柔性控制、分布式优化与协同研究,E-mail:jxiang@zju.edu.cn。
作者简介:张磊 (1986),男,工学学士,高级工程师,从事电力系统保护控制、智能电网技术及应用研究,E-mail:zhang_l7@hdec.com;
姜贞强 (1981),男,工学学士,正高级工程师,从事新能源发电技术研究,E-mail:jiang_zq@hdec.com;
倪佳华(1991),男,工学博士,从事新能源发电控制、容量优化配置、电网运行调控研究,E-mail:nijiahua@zju.edu.cn;
周胡(1989),男,硕士,高级工程师,主要研究方向为新能源数字化、风电基础结构,E-mail:zhou_h3@hdec.com;
陆艳艳(1981),女,硕士,正高级工程师,主要研究方向为新能源数字化、新能源规划,E-mail:lu_yy2@hdec.com。
基金资助:
国家自然科学基金项目(62173295)

Internal Reactive Power Optimization of Offshore Wind Farms Using Second-Order Cone Convex Relaxation

ZHANG Lei¹(), JIANG Zhenqiang¹(), NI Jiahua²(), ZHOU Hu¹(), LU Yanyan¹(), XIANG Ji²()

1. PowerChina Huadong Engineering Corporation Limited, Hangzhou 311122, China
2. College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China

Received:2022-10-27 Published:2024-01-01 Online:2023-12-24
Supported by:
National Natural Science Foundation of China(62173295)

摘要/Abstract

摘要：

为了减少海上风电场有功网损,提出一种基于二阶锥凸松弛的海上风电场无功出力优化模型。该模型考虑最优潮流过程中所涉及的电网稳定要求与安全裕度,在各风机最大化有功出力的前提下,优化各风机无功出力,以减少网损,提高风场整体出力。通过二阶锥凸松弛的数学优化方法,解决多种约束下的潮流优化问题,给出了最大化风电场整体有功出力下的各风机无功出力最优值。最后,以舟山普陀海上风电场为例,对各机组无功出力进行了优化,并与基于启发式的粒子群优化算法和经典的内点法优化算法进行了对比,结果表明所提算法能明显减少系统有功损耗,提升风电场整体有功出力。

关键词: 海上风电场, 无功优化, 最优潮流, 凸优化

Abstract:

This paper proposes a reactive power optimization model for offshore wind farms based on second-order cone convex relaxation for reducing active network loss. The model considers the grid stability requirements and safety margin involved in the optimal power flow process and optimizes the reactive power output of each turbine to maximize the active power output, reduce the network loss, and improve the overall power output of a wind farm. Through mathematical optimization of the second-order cone convex relaxation, the power flow is improved, the line active power loss is reduced, and the power-flow optimization problem under various constraints is solved. Finally, with the Zhoushan Putuo wind farm as an example, the reactive power output of each wind turbine is optimized and compared with the results of heuristic particle swarm optimization and the classical interior-point optimization algorithm. The comparison shows that the proposed method can significantly reduce active power loss and improve the overall active power output of the wind farm.

Key words: offshore wind farm, reactive power optimization, optimal power flow, convex optimization

中图分类号:

TM73

张磊, 姜贞强, 倪佳华, 周胡, 陆艳艳, 项基. 基于二阶锥凸松弛的海上风电场内部无功优化[J]. 电力建设, 2024, 45(1): 92-101.

ZHANG Lei, JIANG Zhenqiang, NI Jiahua, ZHOU Hu, LU Yanyan, XIANG Ji. Internal Reactive Power Optimization of Offshore Wind Farms Using Second-Order Cone Convex Relaxation[J]. ELECTRIC POWER CONSTRUCTION, 2024, 45(1): 92-101.

图/表 9

图1 舟山普陀风电场布局和拓扑

Fig.1 Topology of Zhoushan Putuo wind farm

图2 潮流模型

Fig.2 Power flow model

图3 二阶锥

Fig.3 Second order cone

图4 算法流程图

Fig.4 Algorithm flow chart

图5 各风机风速

Fig.5 Wind speed of each turbine

表1 优化结果对比

Table 1 Comparison of optimization results

图6 无功出力优化结果对比

Fig.6 Comparison of reactive power optimization results

图7 节点电压幅值优化结果对比

Fig.7 Comparison of voltage magnitude optimization results

表A1 海上风电场线路阻抗参数

Table A1 Offshore wind farm line impedance parameters.

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基于二阶锥凸松弛的海上风电场内部无功优化

Internal Reactive Power Optimization of Offshore Wind Farms Using Second-Order Cone Convex Relaxation

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