Step back a minute, your 3 phase will be brought to your site on a metering/switching panel, this is a valid point to check the phase presence and raise an alarm if one goes low or missing - so you can phone up your supplier and complain. After this main distribution board there will be sub boards until you get down to a piece of equipment or a motor.
The way to measure if all the phases are present at the actual motor is to measure the currents, this is what the motor overloads do. basically the motor currennt goes through a heater/phase. if the heaters get to hot they mechanically break the supply to a contactor feeding the motor, by operating a microswitch. These are pretty unreliable, certainly less reliable the the motor they mean't to be protecting. A more modern system is to embed thermistors within the motor windings which change their resistance if the motor gets hot and an electronic unit trips the feeding contactor. Unforunately the embedded thermistor are subject to undue mechanical stress and also tend to fail.
So you can check the phases by voltage at the input to the board, but not at a motor, you use current. if your kit is non motor, i.e. heaters,power supplies then you can use voltage right at the kit, because there is nothing that going to generate any voltage.
if you pass all the motor leads through a current transformer, there will be no output from it when all phase are there and balanced. There will be an output if a phase goes missing. An ultra sensitive detector would be a three phase RCD. These trip the supply if the phase currents are outof balance by a small amount. For protecting people, this is 30mA, if its to protect the equiment, you can get 100 and 500 mA trip range and the internal switch and wiring is rated for, 60, 100. . . Amps. These might trip if one phase goes a bit low, if you are dealing with a huge motor that is running at , say 50 A/phase, then a unbalance of 1% in the phase voltage would cause the switch to open.
Frank