Mike,
You seem to be asking the same question over and over again, and as you describe the installation it keeps sounding less and less standard.
As a pretty good approximation, if the motor is properly magnetized, to produce the same torque requires the same current.
Changing the frequency does not change this result. Double the frequency, and the motor goes twice as fast. But to produce the same torque will require the same current.
But there aint no such thing as a free lunch.
The _voltage_ necessarily to 'properly magnetize' the motor changes with frequency. When you double the frequency, the motor will go twice as fast. If it is producing the same torque, it will require the same current. But now it requires twice as much _voltage_. Same current and double the voltage means twice as much power in to the motor. But that's okay, because same torque at double the speed means twice as much mechanical power out.
So _in principal_ changing the frequency to the motor won't change the current consumed at all. However in the above we made two whopping big ASSUMPTIONS 1) proper magnetization and 2) same output torque. We are also ignoring magnetizing current, which changes the value of the approximation.
1) Falls apart when you operate the motor above 'base frequency' unless you make special effort. This is because most VSDs cannot supply a higher output voltage then their input voltage. Unless you have a special VSD, or a non-standard configuration such as a 230V motor supplied by a 480V VSD, when you operate at 90Hz the voltage will be too low to properly magnetize the motor. The current to produce a given torque will increase.
2) Falls apart because most loads have different torque requirements at different speeds. In particular, for 'fan loads' the torque required changes with the _square_ of the speed. Double the speed, and that fan will require 4x the torque. Additionally, in a design situation, the _load torque_ may be adjusted by the designer. The designer may be selecting fans that properly load these motors at 91Hz.
Without knowing more about the mechanical loads in question and the VSDs that you are using, there is no way to know what will really happen to the motors. If the fans have been reduced in size, so that they would be undersized at 60Hz, then they might produce an acceptable torque at 91Hz. The 'acceptable torque' might be reduced from the normal full load torque to compensate for reduced magnetization, or the motor voltage may have been selected to maintain proper magnetization.
Finally, when running multiple motors from a single VSD, there can be significant issues with motor protection. What protects a single motor from overload, and what protects the VSD if an overload situation causes motor(s) to disconnect?
-Jon