基于全纯嵌入及帕德近似零极点侦测的电压稳定裕度评估算法  

Voltage Stability Margin Evaluation Algorithm Based on Holomorphic Embedded and PadéApproximation Zero-pole Detection

作　　者：刘承锡 罗永建 董旭柱 LIU Chengxi;LUO Yongjian;DONG Xuzhu(School of Electrical Engineering and Automation,Wuhan University,Wuhan 430072,Hubei Province,China;Hubei Engineering and Technology Research Center for AC/DC Intelligent Distribution Network,Wuhan 430000,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]交直流智能配电网湖北省工程中心,湖北省武汉市430000

出　　处：《电网技术》2024年第9期3790-3800,I0075,共12页Power System Technology

基　　金：国家自然科学基金项目(52007133)。

摘　　要：针对电力系统电压稳定裕度评估问题,在预测校正框架下,提出了基于全纯嵌入方法以及帕德近似零极点侦测的电压稳定裕度快速计算方法。算法主要步骤包括预测、步长选择、校正、帕德近似及其零极点计算。在预测和步长选择步骤,采用变步长可拓展全纯嵌入法实现其他运行工况下的电压值预测,并基于预测误差分析选择合适步长。在校正步骤,当预测电压达到设定误差限值后采用灵活全纯嵌入对电压进行校正,提升算法的收敛性;最后求取电压幂级数的帕德近似的最小零极点,以实现快速的电压稳定裕度计算。此外,通过预测步骤获得的发电机无功出力的幂级数,可预判发电机无功出力越限,实现节点类型的快速转换。在多个IEEE标准算例中进行测验并与常用的连续潮流方法进行对比,验证了算法的准确性及计算快速性。Aiming at the problem of voltage stability margin assessment in power system,this paper proposes a fast calculation method of voltage stability margin based on holomorphic embedded method and padéapproximation zero-pole detection under the framework of prediction and correction.The main steps of the algorithm proposed in this paper include prediction,correction,step length selection,padéapproximation and zero and pole detection.In the step of prediction and step length selection,the variable step length holomorphic embedded method is adopted to realize voltage prediction under other operating conditions,and the appropriate step length is selected based on prediction error analysis.In the correction step,the flexible holomorphic embedded method is adopted.After the predicted voltage reaches the set error limitation,the voltage is corrected to improve the convergence property.Finally,the padéapproximation of the voltage series and its zero-pole are calculated.In addition,the power series of generator reactive power can also be obtained in the prediction step,which can predict whether the generator reactive power exceeds the limits,and realize the fast conversion of bus type.Several IEEE standard examples are tested and compared with the common continuous power flow method,which shows that the proposed method is accurate and fast.

关 键 词：全纯嵌入 预测校正 帕德近似 零极点 电压稳定裕度 

分 类 号：TM721[电气工程—电力系统及自动化]