Modified Froelich's Equation for Modelling of a Three Phase Self-Excited Synchronous Generator

TL;DR

This paper introduces a simplified yet accurate mathematical model for a three-phase self-excited synchronous generator that accounts for magnetic saturation effects, reducing computational complexity compared to existing methods.

Contribution

It proposes a novel modelling approach inspired by Froelich's equation that simplifies saturation modelling in synchronous generators, avoiding complex curve fitting techniques.

Findings

Model accurately captures saturation effects in simulations.

Validated results align well with practical generator data.

Reduces computational effort compared to traditional methods.

Abstract

With advancement in design and analysis of electro-mechanical and electromagnetic devices, the modelling of magnetic saturation of a synchronous generator has emerged to be a subject of interest in number of publications. Most of the existing electrical machine modelling methods does ignore the saturation effect for simplicity. On the other hand, who incorporate saturation effect, are dealing with complex computation of coefficients which involves tedious curve fitting techniques like non-linear regression, least-squares. This paper presents the novel method of modelling of the self-excited synchronous generator along with magnetizing characteristics with ease and good accuracy which is inspired from Froelichs equation. The proposed mathematical model is implemented in simulation environment and validated the results with a practical three phase self-excited synchronous generator in which saturation plays a vital role.