A novel two-phase piecewise economic dispatch model for wind-penetrated power systems using stability-constrained partition strategy

The ever-increasing integration of wind power has posed stability challenges for modern power systems, especially in economic dispatch. Most studies focus on conventional generation constraints while neglecting wind power's dynamic impacts. However, as the proportion of wind power grows, it becomes imperative to include the stability impact of wind generation. A novel two-phase piecewise economic dispatch (TPED) model is proposed to address interactions between wind generation and power grids. The objective of TPED is to minimize generation costs while maintaining a sufficient stability margin during the scheduling periods. The stability-constrained partition strategy is proposed to leverage the characteristics of damping ratio functions and guarantee an optimal cost within each dispatch time interval. In addition, an improved guiding factor-based CSO (GCSO) is the first algorithm proposed to achieve simultaneous economic dispatch and stability control. Experiments on the IEEE 39-bus system integrated with wind farms demonstrate the effectiveness of the proposed TPED model and the advantages of GCSO in solving multi-objective scheduling problems by ensuring the system remains in a strong stable region throughout the entire scheduling process