Dynamic decomposition of apparent power in polyphase unbalanced networks with application to transients in an industrial load

In this paper we combine our earlier work on steady-state power decomposition with the concept of dynamic phasors to construct a dynamic (time-variant) decomposition of apparent power for polyphase systems with any number of phases. Our dynamic power decomposition captures transient behavior, while reducing to the standard (constant phasor) characterization in steady-state. Thus, it directly relates to quantities that are part of utility regulations, such as harmonic distortion and power factor. We demonstrate the utility of our dynamic power decomposition by applying it to actual data recorded in a paper plant during an outage.