引用本文:钟康骅,羿应棋,刘玉飞,刘宇,张勇军,霍嘉兴.海上风电无功损耗概率分布的在线解析算法[J].电力自动化设备,2026,46(2):66-76.
ZHONG Kanghua,YI Yingqi,LIU Yufei,LIU Yu,ZHANG Yongjun,HUO Jiaxing.Online analytical algorithm for probability distribution of offshore wind farm reactive power loss[J].Electric Power Automation Equipment,2026,46(2):66-76.
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海上风电无功损耗概率分布的在线解析算法
钟康骅1, 羿应棋1, 刘玉飞1, 刘宇2, 张勇军1, 霍嘉兴1
1.华南理工大学 电力学院 智慧能源工程技术研究中心,广东 广州 510640;2.广东电网有限责任公司电力调度控制中心,广东 广州 510062
摘要:
海上风电交流集电系统存在的随机容性无功损耗是使传统自动电压控制(AVC)方法面临投切计划制定困难、安全冗余不足等问题的主要原因。因此,场站无功损耗概率分布的在线解析算法是提升各级AVC系统适配性的核心前提。为了满足在线计算的少量样本与高效性要求,提出一种结合离线数值卷积与在线半不变量计算的海上风电无功损耗概率分布的在线解析算法。采用历史风速数据驱动的场景化数值卷积法,推导风机正态化有功出力的边缘分布;基于解耦线性潮流模型与电压相角差假设近似分步实现注入功率-电压-无功损耗二次型映射;基于风机群出力的期望与协方差矩阵推导无功损耗的各阶半不变量通式,设计无功损耗概率分布的在线计算流程。算例仿真结果表明,所提在线解析算法的计算精度随着计算周期的缩短而上升,能满足高频在线计算的环境要求。
关键词:  海上风电  无功损耗  电压相角差假设  解耦线性潮流  概率潮流  半不变量  在线解析
DOI:10.16081/j.epae.202511015
分类号:
基金项目:广东省自然科学基金资助项目(2024A1515010435);国家重点研发计划项目(2024YFB3411000)
Online analytical algorithm for probability distribution of offshore wind farm reactive power loss
ZHONG Kanghua1, YI Yingqi1, LIU Yufei1, LIU Yu2, ZHANG Yongjun1, HUO Jiaxing1
1.Research Center of Smart Energy Technology, School of Electric Power, South China University ofTechnology, Guangzhou 510640, China;2.Electric Power Dispatching Control Center of Guangdong Power Grid Co.,Ltd.,Guangzhou 510062, China
Abstract:
The random capacitive reactive power loss existing in the AC collection system of offshore wind power is the main reason for the traditional automatic voltage control(AVC) method to face problems such as the difficulty in formulating switching plans and insufficient safety redundancy. Therefore, the online analytical algorithm for the probability distribution of reactive power loss at the station is the critical prerequisite for improving the adaptability of AVC systems at all levels. To meet the requirements of a small sample size and high efficiency for online computing, an online analytical algorithm for the probability distribution of offshore wind power reactive power loss is proposed, which combines offline numerical convolution with online cumulant computation. The marginal distribution of wind turbines’ normalized active power output is derived by using the scenario-based numerical convolution method driven by historical wind speed data. Based on the decoupled linearized power flow model and the voltage phase angle difference assumption, the injected power-voltage-reactive power loss quadratic mapping is approximately realized step by step. Based on the expected value and covariance matrix of wind turbine group’s output, the general formula for the cumulant with each order of reactive power loss is derived, and the online calculation process for the probability distribution of reactive power loss is designed. The simulative results of the example show that the calculation accuracy of the proposed online analytical algorithm increases as the calculation period shortens, which can meet the environmental requirements of high-frequency online calculation.
Key words:  offshore wind power  reactive power loss  voltage phase angle difference assumption  decoupled linearized power flow  probabilistic power flow  cumulant  online analysis

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