Currents' Physical Components (CPC) in Three-Phase Systems with Asymmetrical Voltage

Abstract

Energy flow related phenomena in three-phase unbalanced, linear, time-invariant (LTI) loads, supplied with asymmetrical, but sinusoidal voltage, in three-wire systems, are investigated in the paper. It is demonstrated that the load current can be decomposed into Currents' Physical Components (CPC), associated with distinctive physical phenomena in the load. It is also shown how the CPC can be expressed in terms of the supply voltage and equivalent parameters of the load. An equivalent circuit of LTI loads at asymmetrical, but sinusoidal supply voltage is presented as well. This decomposition provides solid fundamentals for defining powers of such loads.

Currents' Physical Components (CPC) of the Supply Current of Unbalanced LTI Loads at Asymmetrical and Nonsinusoidal Voltage

“…This paper extends the Currents' Physical Components (CPC)-based power theory of three-phase circuits with unbalanced linear time-invariant (LTI) loads, supplied in a three-wire configuration with a sinusoidal, but asymmetrical voltage, which was developed in paper [19], to similar loads supplied with a nonsinusoidal voltage. In general, this paper presents some new results obtained in investigations on the power theory development.…”

Working and reflected active powers of three-phase loads

“…The unbalanced LTI load current decomposition into the Currents' Physical Components (CPC) at sinusoidal, but asymmetrical supply voltage has the form [4] b u a r u…”

Orthogonal Components of the Three-Phase Current at Asymmetrical Active - Reactive Load in 4-Wire Circuit

“…Compensation, measuring and accounting for components of TP are related, complementary objectives of effective EE consumption. These tasks are the same positions should be solved within the framework of the general theory of power using orthogonal decomposition of 3-phase current [1][2][3][4][5][6] The mutual orthogonal component decomposition can uniquely estimate the losses caused by them independently. Widely used power theory Currents' Physical Components (CPC) [2,[4][5][6] uses a methodology of orthogonal decomposition.…”

“…Unfortunately, even in a sinusoidal mode CPC theory developed either for 3-wire or 4-wire circuits with a symmetrical voltage [2,[4][5][6]. Thus, for 3-wire circuit is decomposed into two components with unbalanced voltage in the CPC power theory of unbalance current, using the method of symmetrical components [6], which is not shared by the asymmetry of the load active and reactive elements explicitly.…”

“…Thus, for 3-wire circuit is decomposed into two components with unbalanced voltage in the CPC power theory of unbalance current, using the method of symmetrical components [6], which is not shared by the asymmetry of the load active and reactive elements explicitly.…”