Cumulant-based stochastic nonlinear programming for variance constrained voltage stability analysis of power systems

被引：26

作者：

Schellenberg, A ^{[1
]}

Rosehart, W

Aguado, JA

机构：

[1] Univ Calgary, Calgary, AB T2N 1N4, Canada

[2] Univ Malaga, E-29071 Malaga, Spain

来源：

IEEE TRANSACTIONS ON POWER SYSTEMS | 2006年 / 21卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

cumulants; numerical optimization; nonlinear programming; probabilistic methods;

D O I：

10.1109/TPWRS.2006.873103

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper proposes a Cumulant Method-based solution to solve a maximum loading problem incorporating a constraint on the maximum variance of the loading parameter. The proposed method takes advantage of some properties regarding saddle node bifurcations to create a linear mapping relationship between random bus loading variables and all other system variables. The proposed methodology is tested using a sample system based on the IEEE 30-bus system using random active and reactive bus loading. Monte Carlo simulations consisting of 10000 samples are used as a reference solution for evaluation of the accuracy of the proposed method.

引用

页码：579 / 585

页数：7

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