From an engineering standpoint, KW should represent power at the shaft in a perfect world.
However, from the comments above, you will get slightly less at the shaft.
So apparently a 50 HP generator will struggle feeding a 50 HP motor. It's a sad day for engineering.
emphasis per the worm
Well, yes, but perhaps not for the reasons you list.
So, the installation design is a 50hp driver connected to a 37.3KW alternator, connected to a 50hp electric motor, driving a pump, requiring 50hp input to the shaft.
Operator starts the generator, and turns on the motor.
Generator trips off-line immediately
Amazingly not only won't the motor run, it won't even start.
Hummmm .... We forgot the 6 X FLA locked rotor, plus a bit more for inrush, and the alternator %IZ is dropping the voltage under locked rotor conditions.
Is that the fault of the generator manufacturer, or the specification? The engineer told them they wanted a generator with a 50hp driver (and alternator to match). The engineer did not tell the mfg they wanted to start and run a 50hp motor.
Screech - Stop, Re-design.
Specified: 50hp driver, alternator to start and run 50hp motor
MFG supplies a 50hp driver connected to a 250kw alternator. It looks kind of funny, but that is okay.
Operator starts gen
Turns on motor.
Motor and pump come up to speed.
Operator loads up the pump to max and the generator slows down - won't hold frequency. What??
MFG: You didn't tell us that you were using a 1.15sf motor. Loaded right up that is 50 x 1.15 = 57.5. And our published alternator efficiency spec is 95%. To hit full load on the pump would require 57.9/.95 = 60.5hp
So, who is deficient: The engineer that can't read the spec? Or the MFG that sells exactly what was specified but no more?
And then the mfg throws another rock:
All you want is to drive the pump. Why didn't you just direct connect the driver to the pump? The combination would not have made 115%, but you would have made 100%. And dropped the project cost and complexity to 1/4.
WHANGGG - right between the eyes