An interesting collection of ideas here, but there are some definite points that need to be clarified.
1. When a motor is Direct On Line started, it will initially draw Locked rotor current. The start current will remain high until the motor is at almost full speed. Typically the start current will drop by around 10 - 20% up to about 80% speed. The Full Voltage start current is independant of load. The load determines the Full Voltage start time. Locked Rotor currents are generally in the order of 550% - 900%
2. Fans are quite a heavy start due to the inertia of the fan. On a speed drive, they are considered easy loads, but on starters, the inertia reduces th rate of acceleration and extends the start time.
3. Most supply transformers have an impedance in the order of 4 - 6 percent. That means at their rated load, the voltage drop will be in the order of 4 - 6%. If you apply a motor to a transformer that has the same rating, then the voltage drop will be perhaps 4 - 6 times that during start due to the high start current.
4. A lot of electrical control equipment is rated to operate down to 85% of rated voltage only. Dropping the voltage more than this can lead to welded contacts and burnt coils. This suggests that you need to size the transformer such that the voltage drop will be no more than 15%
5. In many cases, it is posible to use a reduced voltage starter to reduce the start current. In this situation, you could probably use a soft starter to reduce the start current from 6 - 8 x rated current, down to 3.5 - 4.5 x rated current. As the transformer is going to be selected on the voltage drop during start, the reduction in start current will reduce the voltage drop during start and allow a smaller transformer to be employed.
If we ignore the voltage drop of the generator, (The AVR should be able to correct this) and assume a transformer impedence of 5%, then I would suggest a maximum voltage drop of 15% during start. At a start current (DOL) of say 600%, that would mean that the transformer would need to be twice the KVA rating of the motor, i.e. about 150KVA
If we reduct the start current to say 400%, then the transformer size can be reduced to about 100KVA. If a start current of 300% was possible, then the transformer could be rated to the KVA rating of the motor.
Best regards,
Mark Empson