Distributionally robust dispatch method with enhanced wind power frequency support modeling and inherent decision-dependent uncertainty

The dispatch model incorporating frequency security constraints has received widespread attention for its critical role in enhancing power system frequency stability. However, existing models often neglect the frequency support capability of wind power and the inherent decision-dependent uncertainty (DDU) resulting from its frequency regulation (FR) participation, which can reduce dispatch accuracy and degrade frequency dynamics. This paper proposes a distributionally robust dispatch method with enhanced wind power frequency support modeling and inherent DDU. A refined modeling approach is proposed to capture wind power frequency support capability under varying operating conditions by extracting key decision variables from different frequency control strategies. This enables a more accurate assessment of wind power frequency support potential and can be easily incorporated into the optimization problem. To ensure system frequency stability, a set of linearized frequency security constraints accounting for the FR provision of wind power is established. Furthermore, the inherent DDU originating from the wind power internal frequency control strategies is analyzed and effectively modeled, imposing certain technical limitations on frequency support capabilities. A two-stage distributionally robust dispatch model is then developed to co-optimize energy, inertia, and FR reserve, ensuring system frequency stability while minimizing overall operational costs. Case studies on modified IEEE 6-bus and 118-bus systems validate the effectiveness and scalability of the proposed method.