Comparison and analysis on computation errors of several probabilistic voltage stability analysis methods
DOI:10.7667/PSPC171159
Key Words:probabilistic voltage stability  probabilistic direct method  two-point estimate method  stochastic response surface method  cumulant  cumulative probability
Author NameAffiliation
ZHANG Jianfen College of Electrical and Information, Jinan University, Zhuhai 519070, China 
WANG Kewen School of Electrical Engineering, Zhengzhou University, Zhengzhou 450001, China 
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Abstract:In order to consider the uncertainties of random loads and outputs of wind turbines due to stochastic wind speed, different probabilistic voltage stability analysis methods have been presented to study the voltage stability of power system. The computational accuracy and efficiency of probabilistic direct method, two-point estimate method and stochastic response surface method are compared. The principle and steps of these three methods are studied, the factors of random load standard deviation, correlation coefficient of wind speed and the distributions of random loads which probably affect the computational errors are determined. The 39-bus system is used for simulation study by three methods above. The computational errors and efficiency of these probabilistic methods are compared with the results of Monte Carlo method. The effects of random load standard deviation, correlation coefficient of wind speed and the distributions of random loads on the computational errors are studied. The calculation results show that stochastic response surface method has the least computational errors, while probabilistic direct method spends the least computation time. This work is supported by National Natural Science Foundation of China (No. 51307071).
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