基于指数变换的电力系统不稳定特征值计算方法  

Calculation Method for Unstable Eigenvalue of Power System Based on Exponential Transformation

作　　者：陈亦平[1] 曹玉磊 赵利刚 肖亮 李崇涛 CHEN Yiping;CAO Yulei;ZHAO Ligang;XIAO Liang;LI Chongtao(Power Dispatching and Control Centre of China Southern Power Grid,Guangzhou 510663,China;Electric Power Research Institution of China Southern Power Grid,Guangzhou 510663,China)

机构地区：[1]中国南方电网电力调度控制中心,广东省广州市510663 [2]中国南方电网科学研究院有限责任公司,广东省广州市510663

出　　处：《电力系统自动化》2023年第3期161-168,共8页Automation of Electric Power Systems

基　　金：中国南方电网公司科技项目(ZDKJXM20200046)。

摘　　要：判断电力系统小干扰稳定性的前提是不遗漏地计算全部不稳定特征值。文中提出一种基于指数变换的双层Arnoldi算法用以求解电力系统的全部不稳定特征值。该方法首先采用指数变换将系统的所有不稳定特征值映射成为主导特征值。其次,采用外层的隐式重启动Arnoldi算法求解谱变换后的所有主导特征值,逆变换之后便可以得到所有不稳定特征值。然后,结合加速收敛技术,采用内层Arnoldi算法求解指数矩阵与向量的乘积。最后,Xing6u和NF2016两个实际电力系统的计算结果表明,所提方法可以快速且精确地计算电力系统的所有不稳定特征值。The premise of judging the small-signal stability of the power system is to calculate all unstable eigenvalues without omission. This paper proposes a dual-layer Arnoldi method based on exponential transform for calculating all unstable eigenvalues of the power system. First, the exponential transformation is introduced to map the unstable eigenvalues of the system to the dominant eigenvalues. Secondly, the outer-layer implicitly restarted Arnoldi algorithm is used to solve all dominant eigenvalues on the transformed spectrum. And all unstable eigenvalues can be calculated after the the inverse transformation. Then, combined with an accelerated convergence technology, the inner-layer Arnoldi algorithm is applied to solve the multiplication of the exponential matrix and vector. Finally, numerical results of two real power systems, i.e. Xing6u and NF2016, indicate that the proposed method can calculate all the unstable eigenvalues of the power system quickly and accurately.

关 键 词：小干扰稳定性 大规模电力系统 不稳定特征值 指数变换 

分 类 号：TM712[电气工程—电力系统及自动化]