Maximum Active Power Transmission Efficiency and Apparent Power Definition with Arbitrary Waveforms

A proof of the theorem giving maximum available active power with constant transmission losses (i.e., efficiency) valid for arbitrary waveforms, is proposed. This makes it possible to rigorously generalize definitions factor based on definition apparent as apply them systems non-symmetric, non-sinusoidal, and eventually time-varying non-periodic) waveforms or DC grids, thus extending its application hybrid multi-wire asymmetrical phases, different voltages, frequencies non-sinusoidal waves, such rectangular PWM) even DC, which can be combined sharing neutral conductor. Finally, an example a system composed unbalanced load inverter-based AC subsystems included.