Renewable energy sources such as photovoltaic solar power play a crucial role in the fight against climate change and the transition to low carbon energy systems. However, their intermittency, linked to meteorological variations, represents a major challenge in terms of stability and energy management of the power grid. To overcome this limitation, the integration of hydrogen is a promising and effective solution. This study proposes an optimization approach for a photovoltaic energy system integrating hydrogen as a means of storing excess energy. First, a simulation was carried out to analyze the operation of an energy management system combining photovoltaic production, hydrogen storage from water electrolysis and conversion into electricity by a fuel cell. This modeling was used to assess the system's ability to meet energy needs despite fluctuations in solar production. Next, an optimization was developed to minimize the loss of hydrogen supply probability (LPSP), a key indicator of system reliability. The algorithm adopted is based on deterministic methods and consists of adjusting hydrogen storage capacity to minimize the energy deficit and improve system autonomy. The results show that increasing storage capacity significantly reduces the LPSP, thus improving power supply continuity. However, saturation is observed above a certain threshold, indicating that optimal sizing of intelligent energy management coupled with storage optimization is required to maximize system efficiency. This study opens up several avenues for further improving the efficiency of hydrogen based hybrid systems. This approach provides a sound basis for the development of autonomous, sustainable energy solutions, suitable for isolated sites and large scale renewable energy production systems.