Convex Hull Based Economic Operating Region for Power Grids Considering Uncertainties of Renewable Energy Sources

The increasing integration of renewable energy sources (RESs) presents significant challenges for the safe and economical operation of power grids. Addressing the critical need to assess the effect of RES uncertainties on optimal sched- - uling schemes (OSSs), this paper introduces a convex hull based economic operating region (CH-EOR) for power grids. The CHEOR is mathematically defined to delineate the impact of RES uncertainties on power grid operations. We propose a novel ap- - proach for generating the CH-EOR, enhanced by a big-M M pre- - processing method to improve the computational efficiency. Per- - formed on four test systems, the proposed big-M M preprocessing method demonstrates notable advancements: a reduction in av- - erage operating costs by over 10% compared with the box-con- - strained operating region (BC-OR) derived from robust optimi- - zation. Furthermore, the CH-EOR occupies less than 11.79% of the generators' ' adjustable region (GAR). Most significantly, after applying the proposed big-M M preprocessing method, the computational efficiency is improved over 17 times compared with the traditional big-M M method.