Power to magnets (at least those not contributing to heating) are assumed to be included in the house load.
replyFor pulsed power, with an optimistic beta of 1, the magnetic field energy is going to be comparable to the heat energy. The house load here seems tied to a static superconducting coil, not a pulsed field.
replyAnd can in many cases be much higher than the heat energy (e.g. theta pinch).