Impact of Wind Speed Correlation on Optimal Power Flow

There are always some different correlations between wind farms in a power grid.This paper uses inverse Nataf transformation to generate correlated wind speed samples to get the correlating wind farms' generations.Considering the uncertainty of wind speed,the actual production of each wind power plant is considered as a negative Weibull random distribution load and characterized by its historical time series data.The spatial correlations of wind power plants are properly modeled through stationary variance-covariance matrices.Wind farms are included in modified IEEE 30-bus and IEEE 118-bus systems.Monte Carlo simulation is adopted to quantitatively analyze how the indicators of optimal power flow results volatilities as a result of an increasing correlation among wind farms.