Small generators below about 10 KVA are generally rated for unity power factor. kW = KVA.
Above that size, a rated PF 0.8 or 80% is common. kW = KVA x 0.8
The kW of a generator is determined by the available power of the prime mover.
The KVA is determined by the operating voltage and by the rated current.
As an illustration, if a 100 KVA, 120/240 Volt center tapped delta generator is reconnected in star, for use at 120/208 Volts, the rated KVA drops to 86.7 KVA.
While this would technically raise the PF to 86.7KVA/80kW, or 0.92, by convention it will still be rated at 0.8 PF.
Motor starting;
Generally the available set capacity in Amps should be 3 times the rated Amps of the motor being started.
Use this with judgment.
An unloaded set rated for 60 Amps will start a motor rated at 20 Amps.
A set rated at 120 Amps with an existing load of 60 Amps will start the same motor easier.
Most customers will be satisfied with the voltage drop, especially when they are aware of the extra cost of a larger set to reduce the voltage drop from motor starting.
When a large motor starts, the mechanical load will slow the set down and the frequency will drop.
This is partly because of the governor response to a large block load and partly because the prime mover is overloaded.
Now UFRO comes into play.
Under Frequency Roll Off.
When the frequency drops 3 Hz below the set frequency, UFRO starts to drop the voltage proportionately.
This is to maintain the V/Hz ratio.
Without UFRO, a dropping frequency would result in a rising V/Hz ratio and possible saturation of inductive components.
In the event that the only load on the set is the motor to be started, a 2.5:1 ratio will generally start the motor but the resulting voltage drop will often be more than the customer will accept.
Other equipment online may malfunction due to the low voltage.
There will be times when a job specifications mandate a minimum motor starting voltage drop.
In that case, check the websites of the major Gen-Set manufacturers.
They have software available for sizing gen-sets.
You will be able to specify any voltage drop that you wish and the program will size that set for you.
The default setting will suggest a set larger than the 3:1 ratio but they are in the business of selling sets and the larger the better.
I have over 20 satisfied customers starting air conditioning units with sets sized at 3:1. The Cat software says that every one is undersized.