I'm wanting to power a DC motor with a generator and I'm trying to figure out how if this gen will work.

I'm new to this kind of math so I'm having trouble wrapping my mind around all these numbers. K here are the specs on the motor and generator that I'm going to be using.

Motor: At 144 VDC, 28.5 HP continuous, 30.4 HP for one hour, 48.8 HP for five min., 100 HP peak

One hour kW rating is 17.3kW@96VDC, 20.8kW@120VDC,22.9kW@144VDC

Generator: Continuous Output 20KW
Voltage 120/240
Current (Amps) 166/83
Poles 4
Phase Single Phase
Rotational Direction Clockwise or Counter Clockwise
Rotation Speed 1800 RPM

The Motor will be running continuously at an estimated 20-25HP with some variance in demand. There will be a 12 battery bank for the motor to pull from if demand exceeds the generator. Here are the specs of the battery;

Voltage: 12 V
AH: 42 AH
Terminal: B
Weight: 34 Lbs
If demand on the batteries are needed it wont last for more than a couple minutes at a time and shouldn't happen a lot. I'd like the gen to maintain the batteries after if/when they are needed also. Thanks

Answer:
Your motor is 28.5 HP.

Your generator is 20KW, which is 26.8 HP.

I see a problem here. You say the motor will be running continuously at 20-25 HP, but it's not just the motor, it's the control circuitry as well.

Equipment has a high failure rate when it's always running full bore. If it can loaf along at 70% or 80% of capacity, you'll see dramatically lower costs. I'd want a 30KW generator as a minimum - and I'd feel more comfortable with a 35KW or 40KW generator.
it sounds close,
but if the generator is UL rated, it has some extra ability built in to it,
I have run a UL listed generator (40KW) for 2 hours at 150%
and it was fine, and not really that hot either.
I bet it will be just fine, unless it will be running somewhere really hot, like phenox, AZ or fresno CA

if you have batteries, I would put a charge regulator in the circuit so that they can't overload your generator if the batteries have been discharged some and you still have your motor load,
either that or get a way bigger generator.

sorry I am not good at specific math.

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