Instantaneous and Integral Power Equations of Nonsinusoidal 3-Phase Processes

Abstract

Introduction. Non-ideal (active-reactive, nonsymmetrical and nonlinear) load consumes not only electrical energy (EE) of active power but and EE of non-active components of apparent power (AP). For a number of such loads, consumption of EE of non-active components is caused by technological reasons and guarantees a longterm normal mode of the non-ideal (distorting) load operation. Non-active components of the AP cause additional losses in the power network making worse the power supply quality but they is not accounted and rested of.An effective solution of the problem of the losses decrease and the EE account precision's increase is joint utilization of compensating devices (CD) and EE accounting tools. Existing accounting tools measure EE caused by the symmetry and linearity of the load's elements. Non-active TP components caused by the non-symmetry and nonlinearity of active-reactive load's element are not measured and accounted. Compensation, measurement and account of AP components are coupled, supplementing each other problems which from different economical points of view solve a problem of the effective EE consumption and should be solved in the frame of the general power theory (PT) at real conditions of failure of the symmetry and the sinusoidality of the supply and consumption mode.Problem definition. Increasing theoretical and practical interest for the PT definitions, interpretations of the reactive power conception interpretations, physical sense search, ambiguity of the apparent power determination in multiphase systems, the problem difficulty have been led

A positive, negative and zero sequences electric power, to improve upon the standard IEEE 1459-2010

“…A theoretical study series are based on the ideas that were formulated in the early editions of the work (Akagi et al , 2017). Thus, in Sirotin and Ierusalimova (2016), for a three-phase circuit in nonsinusoidal mode, the constant and variable components of the instantaneous power vector introduced two new integral powers: the imbalance power vector and the nonpulsating power vector. It is shown that at asymmetric voltage, the vector instantaneous power is zero, only if the standard reactive power (shift power) and the imbalance power are zero.…”

The Development of the Theory of Instantaneous Power of Three-Phase Network in Terms of Network Centrism

“…Reactivity, asymmetry and non-sinusoidal mode of consumption for a number of consumers are caused by technological reasons and have a long-term nature, which is the reason for the appearance of pulsations of instantaneous power (IP), which causes additional losses of electricity and contributes to the emergence of dangerous resonance phenomena during operation of a three-phase network [4].…”