Stability Constrained Two-Stage Robust Optimization Model for Microgrid Economic Dispatching

Abstract

With the development of high penetration renewable energy, the power system has faced a big challenge of low inertia and weak frequency support. This paper proposed a two-stage robust mathematic optimization model with three layers to cope with the uncertainty in microgrids considering inertia and frequency constraints. The controllable generators in the microgrid were modeled, including gas turbine, energy storage, and demand response. The uncontrollable photovoltaic and wind turbine are described with an uncertainty set that can be observed by weather forecasting errors. Second, the economic dispatching model considering inertia demand constraint can reasonably arrange the startup and shutdown plan of units, decrease the frequency change rate after disturbance, and improve the inertial response ability of the system. Finally, the case study results show the effectiveness of the proposed model.