I see where your mistake begins.
you assume that the input power is 3kW
1 H.P. = 0.745 kW
5.5 H.P. = 4.09 kW
Yea but it doesn't affect the result. Just in case we're miscommunicating, this is it yea?:
Petrol motor with 4.09kW output power
It's shaft is connected to an electric generator with 3kW output power.
The electric output is connected to a HHO generator.
The HHO gas is piped into the motor without any petrol or other fuel.
You seem to be saying a 3kW HHO generator can produce more than 4.09kW of gas. This would be the revolutionary part, and the rest is conventional.
Boyce: 900 litres in one hour, takes 180 watts or 1,170% Faraday with pulsing
Cramton: 900 litres in one hour, takes 90 watts or 2,340% Faraday
Who's Boyce and Cramton? I can't argue those figures because I don't know how much energy a litre of HHO contains. That's the crucial deciding piece of information. It would be much more useful than comparing to what some ancient authority said.
maybe it was the only engine he could afford a diesel
You're forgetting something I mentioned previously and made a strange comment about:
Anybody who has a working perpetual motion machine will be RICHER THAN GOD!
a turbine , this way the wasted energy from constantly stopping the pistons and then accelerating them in the opposite direction would be removed from the picture.
I don't mean to nit-pick, but that uses almost no energy. When a piston is stopped, its energy is transferred to the crankshaft, not just damped into nothing. However you're right that turbines are more efficient with high powers.