Generalisation of Helmholtz-Thevenin theorem to three-phase electrical circuits

TL;DR

This paper extends the Helmholtz-Thevenin theorem to three-phase electrical circuits, enabling simplified analysis of complex power systems by representing them as equivalent generators with internal impedances.

Contribution

It provides a generalized formulation of the Helmholtz-Thevenin theorem specifically for three-phase circuits, including methods to determine equivalent voltages and internal impedances.

Findings

Derived formulas for equivalent electromotive voltages

Methodology to find internal impedances in three-phase systems

Facilitates simplified analysis of complex power systems

Abstract

The scope of this paper is to determine the generalized form for equivalent tension generator theorem (Helmholtz-Thevenin theorem) for three-phase electrical circuit. Any complicated electrical power systems we can reduce depending on any three-phase electrical consumer to a three-phase electrical generator that has certain internal impedance. Starting with this assumption, we have demonstrated the way to obtain the electromotive voltages for an equivalent generator and its internal impedances.