基于聚合阻抗行列式对数导数计算的振荡稳定性分析方法  

Oscillatory Stability Analysis Method Based on the Logarithmic Derivative Calculation of Aggregated Impedance Determinant

作　　者：汪林光 谢小荣[1] 许涛 徐得超 赵康 刘伟生 占颖[1] WANG Linguang;XIE Xiaorong;XU Tao;XU Dechao;ZHAO Kang;LIU Weisheng;ZHAN Ying(State Key lab of Control and Simulation of Power Systems and Generation Equipment(Dept.of Electrical Engineering,Tsinghua University),Haidian District,Beijing 100084,China;State Power Dispatching Control Center China,Xicheng District,Beijing 100052,China;State Key Laboratory of Power Grid Safety and Energy Conservation(China Electric Power Research Institute),Haidian District,Beijing 100192,China;State Grid Shandong Electric Power Research Institute,Jinan 250003,Shandong Province,China;State Grid Shandong Electric Power Company,Jinan 250001,Shandong Province,China)

机构地区：[1]电力系统及发电设备控制与仿真国家重点实验室(清华大学电机系),北京市海淀区100084 [2]国家电力调度控制中心,北京市西城区100052 [3]电网安全与节能国家重点实验室(中国电力科学研究院有限公司),北京市海淀区100192 [4]国网山东省电力公司电力科学研究院,山东省济南市250003 [5]国网山东省电力公司,山东省济南市250001

出　　处：《中国电机工程学报》2023年第11期4254-4260,共7页Proceedings of the CSEE

基　　金：国家电网有限公司总部科技项目:应对高比例新能源接入的电力系统安全防御及韧性提升技术研究(5100-202155295A-0-0-00)。

摘　　要：该文提出分析振荡稳定性问题的聚合阻抗行列式对数导数计算方法,能适用于含“黑灰箱”模型的系统且能定量计算主导振荡模式的阻尼和频率。该方法首先通过阻抗网络模型得到聚合阻抗(矩阵),然后计算实频域下其行列式的对数导数,最后根据对数导数的实部和虚部曲线来得到表征系统振荡稳定性的聚合阻抗行列式零点。该文将该方法分别应用到电压源型变流器并网系统和大型风电并网系统,通过对比该方法与MATLAB零点直接求解方法的计算效率与分析结果,验证了方法计算准确且高效。A method is proposed in this paper to investigate the oscillatory stability using the logarithmic derivative of aggregated impedance determinant.It can be applied to system with"black/gray box"models and can quantify the damping and frequency of the dominant oscillation modes.The method first obtains the aggregated impedance(matrix)through the impedance network model,then computes the logarithmic derivative of its determinant in the frequency domain,and finally finds the zero of the aggregated impedance determinant to quantify the stability of system oscillation according to the real and imaginary curves of the logarithmic derivative.The method is applied to a grid-connected voltage source converter system and a large wind power system,respectively.Its accuracy and efficiency are verified by comparing the performance with the MATLAB function.

关 键 词：振荡稳定性 对数导数 聚合阻抗 定量分析 

分 类 号：TM71[电气工程—电力系统及自动化]