Electrolysis is not an Energy Source

In no way can electrolysis be used to produce energy. During any conversion of energy, there is a loss of energy to heat. The production of Brown's Gas, HHO, Oxy-Hydrogen, and pure hydrogen is done via electrolysis therefore the energy contained within each gas is less than the energy used to create it.

Please refer to the the 1'st and 2'nd laws of electrolysis for the precise parameters of an electrolytic reaction.

Just because electrolysis cannot produce energy dousn't mean the electrolytic decomposition of water is a futile notion. The decomposition of water, by electrolysis, has two primarily viable applications: carbon fuel enhancement, and torch use. Note that these applications are viable specifically in consideration of the monetary cost of electrical requirements. Automotive fuel enhancement is especially viable and the best means of comprehension is explained here.