Hello BobM2
Your idea of turning off the power to the motor for a cycle or so in order to make a measurement could result in major problems and damage.
Open transition switching causes very high current and torque transients at reconnection. This can break rotor bars, couplings and do a lot of damage to the driven load.
The problem is that while the motor is being driven, there is a rotating magnetic field in the stator which is where the torque is derived from. When the stator is disconnected, the motor behaves like a generator, generating voltage out its terminals. The voltage and frequency are dependent on the motor speed. When the motor is reconnected, the generated voltage will not be synchronised to the supply, so effectively, you can be closing on to a much higher voltage than is usual. The generated voltage drops away with time and this dcay dpends on the time constant of the rotor circuit, but typically, you need to disconnect the motor for more than 0.5 seconds to eliminate it.
The other problem that you would have, is that while the motor is spinning and the rotor field has not decayed, there will be voltage across the terminals preventing you from making DC measurments.
It sounds to me like the best solution is to have some form of thermal model calculating the effective temperature from the line current. This is done in many of the protection relays, and some of the better soft starters on the market today. This can be pretty good at providing the sort of protection that you need.
Why not invest in a small electronic protection relay that includes a thermal model. There must be provision to program into the relay, the rated current of the motor, and the motor start time constant. (Locked Rotor Time)
Best regards,
Mark Empson