An effective (and stimulating!) method to calculate the motor starting parameters (torque, current, PF, power) is to use the equivalent circuit for an asynchronous motor. You will need to know the following about the motor:
- stator resistance and reactance.
- rotor resistance and reactance.
- air gap reacactance and loss resistance
- full load slip value of motor.
- number of motor poles
With the equivalent circuit values in hand (above) and some careful pencil work you can find all that you want to know about the motor through starting (transient) to rated RPM.
More Pratically:
You may also compare the torque-speed curve of the motor to the known mechanical characteristics of the load. IFF the torque available (at motor) is greater than the torque required by the load, the motor can start the load.
Regarding your power available from the line, you may also review the current-speed curve of the motor. This will give you an indication of what the current draw from the line will be through the starting phase.
Lastly, knowing current based on the current-speed curve, and the PF rating at start, you can determine the KVA demand from the line. Most motor manufacturers will provide a PF rating at start (0 speed) and at different mechanical loads (50%, 75%, etc.). Torque-speed and current-speed curves are also typically available from the manufacturer.
Be Careful:
If you use some sort of reduced voltage starting than the manufacturer's torque-speed and current-speed curves go out the window.