In one embodiment, the electrochemical system comprises an electrochemical cell and hydrogen storage in fluid communication with the hydrogen electrode, the hydrogen storage comprising at least one of carbon nanotubes and carbon nanofibers. In one embodiment, the method for operating an electrochemical cell system, comprises introducing water to an oxygen electrode and electrolyzing the water to form oxygen, hydrogen ions and electrons, wherein the hydrogen ions migrate to a hydrogen electrode. The hydrogen ions can then be reacted with the electrons to form hydrogen gas that is stored in at least one of carbon nanotubes and carbon nanofibers.