I expect that the electromagnetic conjugate for a machine is a supply that has the voltage which is the complex conjugate of the voltage across the machine.
Electric motors do not have the current and voltage in phase, so their impedance is complex. I expect that the electromagnetic conjugate of an electric machine has an output impedance that is the conjugate of the input impedance of the electric machine.
Factories that have a significant number of motors have capacitive loads to introduce into the supply in order to make the factory as a whole have a nearly real impedance, or seen from the motors, make the supply impedance close to the complex conjugate of the motor impedance.
I guess that the Electromagnetic Conjugate of an Electric machine could also be an electric machine with the opposite imaginary part.