Arredondo Rodríguez, FranciscoLedesma Larrea, PabloCastronuovo, Edgardo Daniel2022-09-072022-09-072019-01-01International Journal of Electrical Power & Energy Systems, (Jan. 2019), v. 104, pp.: 69-77.0142-0615https://hdl.handle.net/10016/35651Multi-Contingency Transient Stability Constrained Optimal Power Flow (MC-TSCOPF) models optimize the economic dispatch of power systems while ensuring their stability after a series of reference incidents. This paper proposes a MC-TSCOPF model that represents the power balance at each node of the system and at each sample time. The proposed model includes non-linear loads, synchronous generators, a windfarm, and a Flywheel Energy Storage system (FESS). The model is written on GAMS and solved using a standard Interior Point algorithm. This study focuses on the Fuerteventura-Lanzarote insular grid in Spain, where stability problems and load shedding cause high additional costs due to the low inertia of the system. A FESS has been recently installed in the system to improve its stability, taking advantage of its high-power capacity and rapid response. The proposed TSCOPF model has been applied to optimize the operation of the FESS to support stability in the event of a contingency. The results of the study show that 1) a proper model of non-linear loads is essential in TSCOPF studies; 2) the proposed MC-TSCOPF provides a tool for minimizing the generation costs while ensuring transient and frequency stability; and 3) it is possible to further reduce the generation costs by using the proposed model to calculate an optimal dynamic response of the FESS.8eng© 2018 Elsevier Ltd. All rights reserved.Atribución-NoComercial-SinDerivadas 3.0 EspañaEnergy storageInsular gridNonlinear programmingOptimal power flowPower system transient stabilityresearch articleIngeniería Industrialhttps://dx.doi.org/10.1016/j.ijepes.2018.06.042open access6977INTERNATIONAL JOURNAL OF ELECTRICAL POWER & ENERGY SYSTEMS104AR/0000022193