面向次/超同步振荡的控制器参数稳定域构建  

Construction of Stability Region of Control Parameters Against Sub/Super Synchronous Oscillation

作　　者：李水天 林涛[1] 盛逸标 柯松 杜蕙 陈汝斯 LI Shuitian;LIN Tao;SHENG Yibiao;KE Song;DU Hui;CHEN Rusi(School of Electrical Engineering and Automation,Wuhan University,Wuhan 430072,Hubei Province,China;State Grid Jinhua Electric Power Company,Jinhua 321000,Zhejiang Province,China;Hubei Electric Power Research Institute of State Grid,Wuhan 430077,Hubei Province,China)

机构地区：[1]武汉大学电气与自动化学院,湖北省武汉市430072 [2]国网金华供电公司,浙江省金华市321000 [3]湖北省电力有限公司电力科学研究院,湖北省武汉市430077

出　　处：《中国电机工程学报》2020年第22期7221-7229,共9页Proceedings of the CSEE

基　　金：国家重点研发计划项目(2017YFB0902000,2017YFB0902002)。

摘　　要：新能源电力系统中出现次/超同步振荡的原因之一是系统某些确定工况下,源侧和网侧控制器参数不匹配。为了防控次/超同步振荡,有必要在线进行控制器参数的稳定域构建,以便对控制器参数匹配状况进行快速评估和预警。该文首先基于盖尔圆盘定理对系统状态矩阵特征值的分布范围进行估计,提出依据系统稳定条件对含参的特征值分布范围进行限定,来实现快速构建参数稳定域的方法。进一步,针对所求得基本稳定域保守性较大的不足,采用相似变换对状态矩阵和对应的盖尔圆盘尺寸进行优化处理,提出基于最优相似变换矩阵来扩展稳定域的范围,从而降低稳定域保守性的策略。仿真算例结果表明,该文方法可以快速确定参数稳定域并减小保守性;与特征值逐点计算法所构建参数稳定域的对比结果表明了该方法的正确性和高效性。The occurrence of sub/super-synchronous oscillations in renewable energy power systems is often caused by the mismatch between the source-side and grid-side controller parameters under a certain operating conditions. In order to prevent and control sub/super-synchronous oscillations, it is necessary to construct the stability region of controller parameters online for rapid evaluation and early warning of controller parameter matching. Firstly, this paper estimated the eigenvalues of the system state matrix based on the Gerschgorin disk theorem, a method for limiting the distribution range of eigenvalues containing parameters according to system stability conditions was proposed, which could build a parameter stability region quickly. Secondly, in order to solve the problem of the conservativeness of the basic stability region obtained by the aforementioned method, the similarity transformation was used to optimize the state matrix and the corresponding Gerschgorin disk’s size, a strategy based on the optimal similarity transformation matrix to expand the range of the stable region and reduce the conservativeness of the stable region was proposed. Simulation examples show that the method in this paper can quickly determine the parameter stability region with a small amount of calculation. At last, by combining the extended disk theorem, the conservativeness can be effectively reduced, which proves the correctness and efficiency of the method.

关 键 词：新能源电力系统 小干扰稳定 次/超同步振荡 状态矩阵 参数稳定域 盖尔圆盘定理 最优相似变换 

分 类 号：TM71[电气工程—电力系统及自动化]