Fitting saturation and hysteresis via arctangent functions

Author

Pérez-Rojas, Carlos

Author_Institution

Universidad Michoacana de San Nicolas de Hidalgo, Mexico

Volume

20

Issue

11

fYear

2000

fDate

11/1/2000 12:00:00 AM

Firstpage

55

Lastpage

57

Abstract

In this letter an approach for fitting saturation characteristic and hysteresis using arctangent functions is presented. It has direct application to modeling transformers and electric machines. The approach is based on measurements of the magnetizing curve of the ferromagnetic material. The analytical form of the characteristic can be completely described by only three parameters. These three parameters are enough to take into account: the slope of the linear region, the position of the knee, and the saturating slope. The appropriate selection of these parameters allows the fitting of a wide class of magnetizing characteristics in simulation programs.

Keywords

curve fitting; electric machines; ferromagnetic materials; machine theory; magnetic hysteresis; magnetisation; transformers; H-H method; apparent rotor resistance; arctangent functions; broken bars detection; broken rotor bar; electric machines modeling; estimated rotor resistance; ferromagnetic material; hysteresis fitting; induction motors broken bars monitoring; knee position; linear region slope; magnetizing curve measurements; on-line broken bars detection; on-line information; reactive power measurement; rotor parameters estimation; saturating slope; saturation conditions; saturation fitting; simulation programs; stator side; temperature conditions; transformers modeling; Automation; Bars; ISO; Induction motors; Magnetic analysis; Magnetic hysteresis; Magnetic materials; Power engineering; Saturation magnetization; Vehicles;

fLanguage

English

Journal_Title

Power Engineering Review, IEEE

Publisher

ieee

ISSN

0272-1724

Type

jour

DOI

10.1109/39.883282

Filename

883282