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Sorry to dampen your spirits,but due to the law of conservation of energy, your system creates a net LOSS, NOT a net GAIN, that is, IF you are making that electrical power from your vehicle's electric system for the electrolysis. You are simply converting energy from one form to another, with inherent losses at each conversion that cannot be eliminated. Even if you made the hydrogen in your workshop and transferred it to a tank in your vehicle, you still used much more real energy to make the usable energy, than what you end up with to burn in the vehicle. I am firmly convinced that our government is pushing the hydrogen economy only so that they can have a tighter grip on the generation and distribution of energy, in this time when decenralized energy is becoming more a reality. No other reason comes to mind, as hydrogen is not a fuel, it is only a carrier of energy, and costs a great deal to set up to distribute, and is even more difficult to contain in a vessel, since it's the smallest atom in the periodical chart ans swims past most anything trying to contain it on a molecular level.
I hopoe this helps...electrolysis is a neat experiment, but it is lossy from a conversion standpoint. And using the vehicle's inherent energy to generate less energy isn't good economy. Hope this helps...
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Yep might be snake oil, though the theory that I have heard is that a little bit of hydrogen burns faster and advances the flame front for more complete combustion and more more power from the availble fuel. Supposed to work on diesels as we are generally a lean burn situation.
Real numbers I don't know.