Power Flow Analytical Solutions and Multi-dimensional Voltage Stability Boundaries Based on Multivariate Quotient-difference Method  

作　　者：Chengxi Liu Qiupin Lai 

机构地区：[1]School of Electrical Engineering and Automation,Wuhan University,Wuhan 430072,China [2]Hubei Engineering and Technology Research Center for AC/DC Intelligent Distribution Network,Wuhan 430072,China [3]IEEE

出　　处：《CSEE Journal of Power and Energy Systems》2024年第3期1168-1178,共11页中国电机工程学会电力与能源系统学报（英文）

基　　金：supported by the National Natural Science Foundation of China under Project 52007133 and U22B20100。

摘　　要：This paper proposes a novel Multivariate Quotient-Difference(MQD)method to obtain the approximate analytical solution for AC power flow equations.Therefore,in the online environment,the power flow solutions covering different operating conditions can be directly obtained by plugging values into multiple symbolic variables,such that the power injections and consumptions of selected buses or areas can be independently adjusted.This method first derives a power flow solution through a Multivariate Power Series(MPS).Next,the MQD method is applied to transform the obtained MPS to a Multivariate Pad´e Approximants(MPA)to expand the Radius of Convergence(ROC),so that the accuracy of the derived analytical solution can be significantly increased.In addition,the hypersurface of the voltage stability boundary can be identified by an analytical formula obtained from the coefficients of MPA.This direct method for power flow solutions and voltage stability boundaries is fast for many online applications,since such analytical solutions can be derived offline and evaluated online by only plugging values into the symbolic variables according to the actual operating conditions.The proposed method is validated in detail on New England 39-bus and IEEE 118-bus systems with independent load variations in multi-regions.

关 键 词：Analytical power flow solution multivariate power series multivariate Padéapproximants multivariate quotient-difference multi-dimensional voltage stability boundary 

分 类 号：TM744[电气工程—电力系统及自动化]