IEC style bimetal thermal OL relays will all have the differential trip mechanism that MIGHT trip from single phasing the motor, but that depends on the LOAD on the motor. The differential trip mechanism BIASES the trip point to be lower than it would be under a balanced 3 phase application, but if the motor is lightly loaded, it may not trip, yet the motor may still suffer thermal; damage from negative sequence currents.
To explain what Keith said, NEMA style thermal OL relays (either bimetal or eutectic melting alloy type) used in North America DO NOT have a differential trip mechanism, so they will not bias the thermal tripping point at all, so they will not pick up a single phasing condition until is it usually too late, hence his comment on using a Phase Loss Relay.
90% of the Solid State OL relays on the market have some form of phase loss protection built in, it's just firmware for them. Usually they function on looking at a current imbalance of 20 to 30% depending on brand, then more expensive versions are adjustable.
So will an OL relay trip if a connection is loose? maybe, maybe not. You can't count on it.
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