The use of CPC theory for energy description of two nonlinear receivers

Konrad Zajkowski,Ivan Rusica,Zuzana Palkova,L Slătineanu,G Nagit,M Coteata,R Ibanescu,O Dodun,M Boca,M.I Ripanu,C.E Panait,V Merticaru,A.M Mihalache

doi:10.1051/matecconf/201817809008

Abstract

The article concerns a mathematical description of electric power in the case of two nonlinear receivers connected to a common supply network. This description was made on the basis of the fundamental CPC (Currents' Physical Components) power theory. This theory was developed for one nonlinear receiver. In the case of two nonlinear receivers of the same type, i.e. when the harmonics generated by them are created equal, the CPC theory requires some modification. This issue is important when it is necessary to determine the components of currents in an energy system supplying two nonlinear receivers.

Highlights

The power theory is a science that is in the area of interest of many researchers
This circuit is characterized by the transmission of harmonics that are generated by a nonlinear receiver
A circuit analysis for all types of nonlinear receivers is easier owing to formulas (7), (8), (9) presented in this article

Summary

Introduction

The power theory is a science that is in the area of interest of many researchers. There has been no universal power theory, one that would be correct for all the types of systems. A theory based on a description of components, dependent on physical quantities, which can be explained by appropriate phenomena, was presented by Czarnecki [1]. In [2], the author presented a CPC theory for the case of a nonlinear receiver supplied with AC from a real source. This circuit is characterized by the transmission of harmonics that are generated by a nonlinear receiver. Taking into account the internal impedance of the source, these harmonics are transferred to other receivers

Source with one harmonic

A source with many harmonics

E D n C n Z

E D n J C n Z D n 1 Y C n Z D n

Summary