Application of bifurcations theory to assess nonlinear oscillations produced by AC electric arc furnaces

Author

Medina, Aurelio ; Gómez-Martínez, Miguel Angel ; Fuerte-Esquivel, Claudio R.

Author_Institution

Div. de Estudios de Posgrado, Univ. Michoacana De San Nicolas De Hidalgo, Morelia, Mexico

Volume

20

Issue

2

fYear

2005

fDate

4/1/2005 12:00:00 AM

Firstpage

801

Lastpage

806

Abstract

This contribution deals with the stability analysis of the alternating current arc furnace dynamic operation connected to a supply system using bifurcations theory. The analysis is carried-out in the time domain through the computation of the system eigenvalues and a careful study of the bifurcation diagrams and stability at the equilibrium points. The effect of the bifurcation parameter variation on the arc furnace dynamic behavior is analyzed. The method allows an appropriate assessment of nonlinear oscillations produced by of alternating current Electric Arc Furnace.

Keywords

arc furnaces; bifurcation; eigenvalues and eigenfunctions; oscillations; stability; time-domain analysis; AC electric arc furnace; bifurcation theory; eigenvalue; nonlinear oscillation; stability analysis; Bifurcation; Chaos; Eigenvalues and eigenfunctions; Furnaces; Nonlinear dynamical systems; Power system analysis computing; Power system dynamics; Power system stability; Stability analysis; Voltage; Alternating current electric arc furnaces; bifurcations; dynamic behavior; eigenvalues; nonlinear oscillations; stability;

fLanguage

English

Journal_Title

Power Delivery, IEEE Transactions on

Publisher

ieee

ISSN

0885-8977

Type

jour

DOI

10.1109/TPWRD.2005.844289

Filename

1413319