Hydrogen economy recent boost can strongly contribute to a resilient energy future. Political awareness and willingness to act to reduce the CO2 emissions without compromising future energy consumption demands target hydrogen as an excellent and well-known energy carrier. Research to improve every single step of the transition to a low-carbon hydrogen market is required to bring down the costs associated with it. So-called “green hydrogen” can be produced while the renewable energy production power plants are generating excess energy. Hydrogen can be stored to meet medium to long-term imbalances in supply and demand in the electricity grid. Storage is one of the most challenging steps of the process, since all available options have drawbacks. Liquefaction of hydrogen has the main advantage that the liquid has greater density than in gas phase and it can be stored at ambient pressure and transported long distances using cryogenic temperatures. Many hydrogen production methods are available, but the most common are not eco-friendly. Water electrolysis is seen as the most cost-efficient from the clean techniques to produce this element. One possible Power-to-Power system using hydrogen consists in charging the system with excess energy coming from renewable sources to produce hydrogen via electrolysis, then liquefy it to be stored at ambient pressure and cryogenic temperatures and transported or stored in insulated tanks where is required for final consumption of electricity. This paper includes the simulation in Aspen Plus® of the charging process, energy requirements and main irreversibilities within the system from exergetic, economic and exergoeconomic point of view. The compressors were identified as the components with the highest exergy destruction, followed by the heat exchangers. The results suggest in which direction the critical components can be improved.