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Hydrogen is now considered one of the most promising fuel of the future. It will be used in various applications, e.g. generating and storing electricity, fuel for automobiles and Jet Planes, hydrogen powered industries, and for all our domestic energy requirements. The challenges of efficiently generating and storing the Hydrogen gas is the playing field of many researchers around the globe. In this paper we studied three different designs of the generation cell where an elaborated design models for these three designs are put forth. The three designs were modeled into three electric circuits to calculate the plate’s parameters such as resistance, inductance and capacitance. A theoretical comparison based on these three parameters, has applied to determine the optimum design. A spiral plate design shows the highest HHO gases generation. The simulation data showed also, that minimizing the voltage at least to be 1.23V, will increase the effective current hence improving the efficiency. On the other hand, shaping the input signal to the energy generation system, will lead to stabilizing the temperature and reduce the power loses.

Elaborated Mathematical Model for Hydrogen-Hydrogen-Oxygen Energy Storage Cell