Thanks Jraef; I should have been clearer in my reply stating 10%.
It is fairly easy to accel most motors with only 10% current draw from the Poco to the VFD. One has to remember that there are two currents in a motor, 90 degrees out of phase.
The 90 degree out of phase is imaginary current and cycles back and forth from the motor to its power source; there is no real power in it other than I^2R heating in the wires. Once started, it is self-sustaining. Without a VFD drive, this out of phase current flows from the motor all the way back to the Poco generator source and back to the motor over and over, once per cycle. With a VFD in between, this imaginary current flows from the motor to the capacitors in the VFD bus and back: it does not get thru to the AC power input side of the VFD so the Poco never even sees the I^2R wire heating or power factor phase issues a motor can produce.
The other one is real current, in phase with the Poco supplied voltage, this is the current that actually produces torque. This current is linear with respect to the torque produced. This is the only current the VFD pulls from the Poco and it is in phase so nearly 1.0 power factor. There are often non linear power factor wave distortion on the Poco input but that is a different discussion and not significant here.
So you can see that if you accel an AC motor slow enough, the torque required to accel = 1/2Jw/t and can be very small. Of course any load on the motor during the accel will also require more current in addition to the current to accel, but typically as Jraef said, the load at slower speeds than normal run speed are usually small.
So a 10% of rated nameplate current to accel any AC motor on a VFD is perfectly valid.