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A model is presented to simulate the production, storage, and dispensing of hydrogen under different conditions and demands. It entails modeling four main processes: production of hydrogen by electrolysis, its compression by an electrochemical process, a high-pressure storage, and a fuel-cell car-dispensing system. The Proton Exchange Membrane (PEM) electrolysis model is based on an equivalent circuit to compute the electric energy needed for a certain demand of hydrogen. A thermal model is integrated to determine the operating temperature during the electrolysis. The second phase of the model deals with the compression of hydrogen using an electrochemical compressor whose operating advantages are highlighted and compared to a mechanical compressor. A thermal model is also integrated to the compression process.