Dispatchable Region of the Variable Wind Generation

The rapid development of wind power generation imposes unprecedented challenges on power system operations due to its stochastic variations. This paper proposes the concept of dispatchable region (Disp-Reg) of the variable wind generation, and reveals its geometrical property. Disp-Reg is a polytope that indicates exactly how much nodal injected wind uncertainty a power system can handle. This concept can lead to a measure on the flexibility of economic dispatch strategies, or an extended version of the crucial concept "security region" in the uncertainty space. Moreover, this paper develops a systematic algorithm to compute the boundaries of Disp-Reg by solving linear programs and mixed integer linear programs. The PJM 5-bus system is used for illustrating the Disp-Reg concept. Finally, the proposed method is applied to a real power grid in China to demonstrate its practical implications.