Analysis of voltage stability uncertainty using stochastic response surface method related to wind farm correlation
Open Access
- 22 May 2017
- journal article
- research article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in Protection and Control of Modern Power Systems
- Vol. 2 (1), 20
- https://doi.org/10.1186/s41601-017-0051-3
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.Keywords
Funding Information
- the Jiangsu Province University Natural Science Research Foundation (14KJB470003)
This publication has 17 references indexed in Scilit:
- Optimal scheduling strategy for virtual power plants based on credibility theoryProtection and Control of Modern Power Systems, 2016
- Short-term wind power prediction based on extreme learning machine with error correctionProtection and Control of Modern Power Systems, 2016
- Impact of correlation on reserve requirements of high wind-penetrated power systemsInternational Journal of Electrical Power & Energy Systems, 2015
- Reliability models of wind farms considering wind speed correlation and WTG outageElectric Power Systems Research, 2014
- Probabilistic Small-Disturbance Stability Assessment of Uncertain Power Systems Using Efficient Estimation MethodsIEEE Transactions on Power Systems, 2014
- Study on power system small‐disturbance uncertainty stability considering wind powerIEEJ Transactions on Electrical and Electronic Engineering, 2014
- Impact of Wind Speed Correlation on Transient Stability of Power SystemApplied Mechanics and Materials, 2013
- Probabilistic evaluation of transient stability of a power system incorporating wind farmsIET Renewable Power Generation, 2010
- Adequacy assessment of generating systems containing wind power considering wind speed correlationIET Renewable Power Generation, 2009
- Prediction of Torque Characteristic on Barrier-Type SRM Using Stochastic Response Surface Methodology Combined With Moving Least SquareIEEE Transactions on Magnetics, 2004