There is a few options for this,
First of all 380 volts seems to European voltage
The 60 cycles is good, you can get a transformer to step down from 480 v 3 phase to 380 v 3 phase.
You may also be able to use a smoothing transformer for this, its basically a 3 phase choke.
Its a 100 volt drop, whatever you decide it will probably have to be ordered, this is probably the safest and most reliable way to do this.
As far as frequency or hertz, if you run it at a lower frequency it will heat up and possibly burn
In other words if you had a motor rated at 25 hz and ran it on the same voltage at 60hz it will run fine, but if you have a 60 hz motor and run it at 40 hz it will heat up guaranteed!
When we speak of hertz or cycles this is frequency or repetition of a hi low cycle , lower hertz ( a slower cycle ) will run motors hotter because its a longer hi low cycle in duration
If you are using a VFD this is basically controlling current flow and cycles to an electric motor and possibly voltage, hence the motor is protected from overheating because it is inherently being monitored/ controlled by the VFD.
in some VFD’s it’s actually pulsed DC power applied to the motor that simulates the rise and fall ( cycles ) of AC power. Mini splits are made like this with an inverter driving a compressor, the compressor can actually reach 125% capacity due to the inverter technology and I believe can go down as low as 20% capacity , some models.
Basic electrical theory is DC current is directly proportional to voltage, so as voltage rises so does current.
on AC applications its inversely proportional as Voltage drops, current increases and vice versa to a point.