This paper presents a new method of economic load dispatch (ELD) for preventing the overload on transmission lines with the N-1 criterion in power systems penetrated with a large number of wind farms (WFs) from a stochastic perspective. There is a possibility that uncertain output variations in WFs according to the wind speed change cause overloading of the transmission lines. Furthermore, since the output variations in WFs can be expressed by stochastic models, the occurrence of the overload must be also assessed by stochastic means considering the operation of power systems. With the N-1 criterion, when the overloading probability is over a predefined acceptable value, the power flow must be resized by changing the load dispatch so that the overloading probability becomes below the predefined acceptable value. Hence, in this paper, we develop a new methodology regarding ELD which can satisfy the N-1 criterion under the uncertainty of output variations in WFs by Monte Carlo simulation considering correlation among WFs.
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