The high penetration of renewable energy in the distribution network can cause issues related to the imbalance between load and generation at certain moments, primarily due to the intermittent nature of these sources. This phenomenon has led to an increase in the curtailment of renewable energy and consequently in the regulation of this activity in order to limit these values. In this scenario, the application of optimal power flow becomes relevant to ensure that energy dispatch is carried out efficiently and respecting the regulated and security limits mof the electrical grid. This study presents the application of a multi-objective optimization method to solve the optimal power flow problem in a transmission network with high penetration of renewable energy and the incorporation of a hydrogen-based energy storage system. The algorithm used aims to optimize the dispatch of renewable energy considering two objectives: reducing active system losses and reducing energy curtailment in wind and solar parks. The results highlight the impact of the storage system in the curtailment of renewable energy and in the system losses, reducing both factors, and reinforcing the capability of these systems to improve network flexibility. Furthermore, the results demonstrate the efficiency of the multi-objective optimization method in representing and addressing both objective functions during the resolution of the proposed case study.