This paper proposes a multi-objective economic capacity optimization model for GESS within a novel power system framework, considering the impacts on power network stability, environmental factors, and economic performance. . Energy from fossil or nuclear power plants and renewable sources is stored for use by customers. Grid energy storage, also known as large-scale energy storage, is a set of technologies connected to the electrical power grid that store energy for later use. The model is solved using an enhanced Grasshopper Optimization Algorithm. . Part of the book series: Lecture Notes in Electrical Engineering ( (LNEE,volume 920)) With the continuous interconnection of large-scale new energy sources, distributed energy storage stations have developed rapidly. Aiming at the planning problems of distributed energy storage stations accessing. . In order to achieve the goals of carbon neutrality, large-scale storage of renewable energy sources has been integrated into the power grid. Under these circumstances, the power grid faces the challenge of peak shaving. Therefore, this paper proposes a coordinated variable-power control strategy. .