A Probabilistic Assessment Method for Voltage Stability Considering Large Scale Correlated Stochastic Variables

Jing Zhang,Xiangping Chen,Gang Yao,Peijia Yu,Guojiang Xiong,Luqin Fan,Zhaoyang Dong,Ying Zhang,Ke Meng

doi:10.1109/access.2019.2963280

Jing Zhang, Xiangping Chen + Show 7 more

Open Access

https://doi.org/10.1109/access.2019.2963280

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Abstract

Voltage stability has always been one of the most important concerns. As the increasing integration of large-scale renewable energy sources in power systems, the correlation between load demands and renewable energy systems becomes more and more complex and important for probabilistic voltage stability. There are two significant issues for probabilistic voltage stability assessment: (i) how to choose the reasonable power increment direction which determines the reliability of voltage stability assessment when considering the actual operating characteristics of the power system; and (ii) how to obtain the samples characterized with the specified distribution and the desired correlation. We propose methodologies to define the reasonable power increment direction with theoretical proof. Moreover, power method transformation combined with Latin hypercube sampling and twice-permutation technique is proposed for probabilistic voltage stability assessment. Case studies with two modified IEEE test systems show that the proposed method is accurate and efficient.

Highlights

Voltage stability has always been one of the most important concerns in power system planning and operations [1]
In order to deal with these two problems, based on a reasonable power increment direction for generators and loads considering the stochastic variables and the correlation between them, we propose the power method combined with Latin hypercube sampling and twice-permutation technique (PLT) in this paper
The simulation results show that power method transformation combined with Latin hypercube sampling and twice-permutation technique can address the correlations between the input stochastic variables and provide more accurate results stably, even when the correlation matrix is not positive definite

Summary

A Probabilistic Assessment Method for Voltage

JING ZHANG 1, (Member, IEEE), LUQIN FAN1, YING ZHANG2, GANG YAO2, PEIJIA YU3, GUOJIANG XIONG1, KE MENG4, (Member, IEEE), XIANGPING CHEN1, AND ZHAOYANG DONG4, (Fellow, IEEE).

INTRODUCTION

POWER METHOD BASED TRANSFORMATION

PROBABILISTIC VOLTAGE STABILITY ASSESSMENT METHOD

SIMULATION ANALYSIS

CONCLUSION