What kind? I am talking about producing hydrogen and then using it is an internal combustion engine. I don't necessarily believe this process works but it seems there is an easy way to find out.
The theory is always doing something special to make electrolysis over 100% efficient. That is, separate water into hydrogen and oxygen with less energy input than is available by using either the H2 or HHO. For example, https://www.h2innovativelab.com/about is one such claim but there are many others.
We are told usually the "trick" is resonance. That is, you pulse the power to your electrolysis system at the right frequency and you get more reaction for the same input power. You can find lots of videos about this and you can buy units to convert your car to run on hydrogen. And all of this seems to be difficult to measure the results.
Is there an easy way to test this?
I think so. To make a more controlled environment (rather than the complicated environment of operating a car), you just get a gasoline or diesel electric generator and a conversion kit to convert your car to use hydrogen including the electrolysis unit.
Toss in a battery to run the electrolysis unit and, if you generator does not have a battery charger output, a battery charger. Hook all this up, turn on the electrolysis unit and then start the generator. It should run forever (as long as you keep adding water) and have energy to spare.
Who will be the first to try this?