The increase in the penetration of renewable energy is a reality in the vast majority of countries, both in Europe and in the rest of the world. This increase is not only occurring in continental power systems, but also on small islands that have high wind and/or solar potential. However, a high renewable energy penetration may compromise the stability of power systems, especially in the case of islands, which constitute isolated power systems. This is due to the inherent characteristics of renewable resources (uncertainty, intermittency and independence between availability and demand). These drawbacks are amplified by the power system inertia reduction caused by the fact that renewable generators are normally decoupled from the grid through a power electronics interface that do not add inertia to the system. It is well known that the long-term variability of renewable energy is well managed by pumped storage hydropower plants (PSHP). Thus, PSHP play an important role in the renewable resources integration,