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Citation:Zhaoxing Ma,Hao Chen,Yanli Chai.Analysis of voltage stability uncertaintyusing stochastic response surface methodrelated to wind farm correlation[J].Protection and Control of Modern Power Systems,2017,V2(3):211-219[Copy]
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Analysis of voltage stability uncertaintyusing stochastic response surface methodrelated to wind farm correlation
Zhaoxing Ma,Hao Chen,Yanli Chai
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Abstract:
Wind speed follows the Weibull probability distribution and wind power can have a significant influence on power system voltage stability. In order to research the influence of wind plant correlation on power system voltage stability, in this paper, the stochastic response surface method (SRSM) is applied to voltage stability analysis to establish the polynomial relationship between the random input and the output response. The Kendall rank correlation coefficient is selected to measure the correlation between wind farms, and the joint probability distribution of wind farms is calculated by Copula function. A dynamic system that includes system node voltages is established. The composite matrix spectral radius of the dynamic system is used as the output of the SRSM, whereas the wind speed is used as the input based on wind farm correlation. The proposed method is compared with the traditional Monte Carlo (MC) method, and the effectiveness and accuracy of the proposed approach is verified using the IEEE 24-bus system and the EPRI 36-bus system. The simulation results also indicate that the consideration of wind farm correlation can more accurately reflect the system stability.
Key words:  Power system, SRSM, Correlation, Wind farm
DOI:10.1186/s41601-017-0051-3
Fund:
Protection and Control of Modern Power Systems
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