a new method for real time economic dispatch solution including wind farms

Economic dispatch (ed) in the presence of wind farms is of high interest in power system operational planning. due to the uncertainty in wind speed and wind power, a probabilistic model is required for application in the ed solution. the weibull probability distribution function is a common tool to model the wind speed probabilistic behavior but the main challenge is the non-linearity of wind power generation with respect to wind speed. this causes complexity in the probabilistic ed, which can lead to numerical and time-consuming solution methods. therefore, linearization of the wind power curve is in the interest of some methods by simply connecting the first point to the end point of power curve by a straight line. in this work, by developing a conventional objective function for an ed solution, two main contributions are made to obtain a suitable method for fast and also good accuracy results in real time purposes. at first, an improved method is introduced for linearization of wind power curve with respect to the previous works, which increases the performance of modelling with respect to the non-linear model as the base model. the second contribution is to develop an analytical routine for ed by an acceptable time-consuming calculation suitable for real time purposes. the effectiveness of the new approach is tested on two test systems. the results obtained show an improvement in the relative error in ed cost with respect to a real non-linear curve model that reduces an error of about one-fifth regarding the conventional linearization model.