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Analytical Study of the Impacts of Stochastic Load Fluctuation on the Dynamic Voltage Stability Margin Using Bifurcation Theory

Authors :
Xiaozhe Wang
Georgia Pierrou
Publication Year :
2019
Publisher :
arXiv, 2019.

Abstract

This paper studies the impacts of stochastic load fluctuations, namely the fluctuation intensity and the load power variation speed, on power system dynamic voltage stability. Additionally, the trade-off relationship between the two parameters is revealed, which provides important insights regarding the potential of using energy storage to maintain voltage stability under high uncertainty. To this end, Stochastic Differential-Algebraic Equations (SDAEs) are used to model the stochastic load variation; bifurcation analysis is carried out to explain the influence of stochasticity. Numerical study and Monte Carlo simulations on the IEEE 14-bus system demonstrate that a larger fluctuation intensity or a slower load power variation speed may lead to a smaller voltage stability margin. To the best of authors' knowledge, this work uncovers the impacts of the time evolution property of the driving parameters, i.e., the load power variation speed and its trade off effect with the fluctuation intensity on the size of the dynamic voltage stability margin.<br />Comment: 10 pages, Accept by IEEE Transactions on Circuits and Systems-I: Regular Papers on September 17, 2019

Details

Database :
OpenAIRE
Accession number :
edsair.doi.dedup.....05ee27f050df0e75d014b82ff7c17e6e
Full Text :
https://doi.org/10.48550/arxiv.1910.10205