Evaluation of Available Inertia of Wind Farms Based on Mixed Copula

Wind turbines (WTs) in a wind farm (WF) can provide inertial response to the power system through inertial control. However, due to the wake effect and the turbulence, the wind speeds and the operating conditions of the individual WTsare different, which brings challenges to the calculation of the available inertia of the WF. To address this problem, this paper proposes a method to evaluate the available inertia of the WF based on a mixed copula model of wind speed. First, the conditional probability distribution model of the wind speed is built based on the investigation of the distribution of the wind speed in a WF. Second, the evaluation of the available inertia of the WF is conducted, taking into account the operating conditions and the wind speeds of individual WTs. As such, evaluation curves for the available inertia of the WF can be obtained. The proposed method is verified on the model of a WF located in northeast China.