An open fuse on the primary of a delta-wye transformer serving motor loads causes large amounts of negative sequence current to flow in both the primary and secondary windings. The running motors will tend to generate a voltage on the opened phase. If you have non-motor load in parallel with the motor loads, they will draw current that is being provided by the motors. This energy has to come from somewhere and reduces the mechanical energy available to the motor shaft.
The negative sequence currents produce flux rotating in the opposite direction from the normal positive sequence current and from the viewpoint of the rotor creates a double-frequency current in the rotor. The resistance to this double frequency current in the rotor goes up due to skin effect, but the overall impedance is much lower than for positive sequence current, so you get a lot of heating in the rotor.
If you just measure the motor current with a scalar meter, the current doesn't appear all that high. If you can measure the negative-sequence current, you will see very high current. It's tough to protect motors against damage from unbalanced currents with standard motor overload relays.