基于Koopman理论的风电场调频动态等值建模  

Dynamic Equivalent Modelling of Wind Farm Frequency Regulation Based on Koopman Theory

作　　者：孙展域 刘瑶 杜兆斌[1] 夏成军[1] Sun Zhanyu;Liu Yao;Du Zhaobin;Xia Chengjun(School of Electric Power,South China University of Technology,Guangzhou Guangdong 510641,China)

机构地区：[1]华南理工大学电力学院,广东广州510641

出　　处：《电气自动化》2024年第6期11-13,21,共4页Electrical Automation

基　　金：国家重点研发计划重点专项资助项目(2022YFB2403500)。

摘　　要：针对风电场动态运行条件下等值建模精度偏低、模型复杂度高的问题,提出一种基于Koopman理论的动态等值建模方法。首先,基于风电场实际运行数据,得到各风机参与调频的动态过程曲线,完成数据的采样和处理;其次,基于Koopman理论,从风机可观测量出发,考察定义在状态空间中相关函数的演化,将非线性风机系统近似转化为更高维函数空间中的线性系统,得到能描述各风机调频动态特性κ算子;然后,采用间隙测度方法对各机组的κ算子进行聚类分群,根据分群结果建立风电场的等值模型;最后,通过算例仿真表明所提方法的准确性。所提方法可有效表征风电场参与调频的复杂响应特性,提高了等值模型的精度。A dynamic equivalent modelling method based on Koopman theory was proposed to address the issues of low accuracy and high model complexity in equivalent modelling under dynamic operating conditions of wind farms.Firstly,based on the actual operating data of the wind farm,the dynamic process curves of each wind turbine participating in frequency regulation were obtained,and the data sampling and processing were completed;secondly,based on the Koopman theory,starting from the observable measurement of wind turbines,the evolution of the correlation function defined in the state space was investigated,and the nonlinear wind turbine system was approximately transformed into a linear system in a higher dimensional function space,obtaining theκoperator that can describe the frequency modulation dynamic characteristics of each wind turbine;then,the gap measurement method was used to cluster and group theκoperators of each unit,and an equivalent model of the wind farm was established based on the clustering results;finally,the accuracy of the proposed method was demonstrated through numerical simulations.The proposed method can effectively characterize the complex response characteristics of wind farms participating in frequency regulation,improving the accuracy of the equivalent model.

关 键 词：风电场 一次调频 Koopman理论 间隙测度 等值建模 

分 类 号：TM614[电气工程—电力系统及自动化]