An electrolyser typically relies on stable electric power from the grid to achieve optimal efficiency at nominal power. However, to produce green hydrogen, the electrolysis process must be powered by renewable energies, such as wind and solar, which are intermittent sources. This brings us to consider the influence of the operating range of the electrolysis system on the profitability of green hydrogen production factories. The objective of this study is to provide decision-making support for investors, authorities, and decision-makers by simulating green hydrogen production for a factory of 5 MW electrolyser capacity, utilizing a 7.2 MW wind turbine generator in a case study located in the south of Morocco, based on the Weibull distribution of wind speed. The findings reveal that the annual production of the factory experiences varying degrees of decrease, the production losses compared to the reference of a 10% working range are as follows: 0.6% for a 20% range, 1.3% for a 30% range, 3.8% for a 40% range, 6.0% for a 50% range, and 9% for electrolyser with a minimum working range of 60%. Hydrogen production losses not only reduce efficiency but also decrease the amount of CO₂ emissions avoided by the plant.