If you are using a low rpm steam engine as a power source, I recommend using a reduction gear to step-up the generator speed. Compare the physical size of a 10 HP single-phase motor built to run on 240 volts at 400 Hz, with a 10 HP single-phase motor built to run on 240 volts at 60 Hz - and the advantages of increased generator rpm become visually clear.
Here are some general equations to help with sizing a generator:
Horsepower = (torque * rpm)/5252
Where torque is in foot-pounds-of-force. The 5252 is actually a rounded-off conversion factor. The actual value is 33000/(2*pi)which is the conversion of linear horsepower into rotational horsepower (in radians).
One Horsepower = 746 watts
Typical electrical generator efficiency is 70% (mechanical power to electrical power)
Example problem: I have a steam engine that turns at 250 rpm. I want to generate 800 watts of electrical power. How much engine torque is required?
Solution: mechanical power input to the generator required to produce 800 watts: 800/.70 = 1143 watts of generator input power. Which is equal to 1143/746 = 1.532 horsepower. The steam engine torque required to produce 1.532 horsepower at 250 rpm is: (1.532*5252)/250 = 32.184 foot-pounds-force.
Taking it to the next level. How much boiler heat input is required?
Solution: A typical piston steam engine will achieve about 5% thermodynamic efficiency. Thus the boiler must provide 1.532/.05 = 30.64 horsepower of heat input. There are 746 watts in a horsepower, and 1055 Joules per BTU – thus the boiler must be fed with 21.67 BTU per second, or 77,998 BTU per hour. Assuming the boiler has an efficiency of 60% (where 40% of the combustion heat is lost out the exhaust), you must feed the combustion chamber with 104,000 BTU per hour. If you were running propane as a heat source, which has a BTU content of 91,690 per gallon, you would need to burn 1.134 gallons of propane per hour, to generate 800 watts of electrical power, using the steam engine. . . .
Cost comparisons:
Expensive electricity is about 10 cents per kWhr. Thus taking 800 watts off the grid will cost you 8 cents per hour of use. However in a steam engine, using Propane at 2.60 a gallon, it will cost you $2.95 per hour to make 800 watts. . . . . .Thus you better be doing this for the hobby aspect, and not for any attempted cost savings. . . . .