Stability Analysis of Nonlinear Oscillations for AC-Fed Electric Arc Furnaces in Context of Bifurcation Dynamics

Authors

  • M. Varan Msc. Eng. Electrical Engineer
  • Y. Uyaroğlu Ass. Professor at Sakarya University Electrical and Electronics Engineering Department

DOI:

https://doi.org/10.5755/j01.eee.19.5.1556

Keywords:

AC-Fed electric arc furnace, AUTO open-source algorithms, bifurcation theory, nonlinear oscillations, stability analysis

Abstract

Bifurcation theory has been widely used to investigate dynamic behaviours of nonlinear components, and to make analytical answers on formation of  synchronous resonanace , chaotic oscillations and ferroresonance oscillations phenomenon in electrical engineering. Bifurcation theory is also applied to perform stability analysis in nonlinear systems. This study aims to identify  formations of nonlinear oscillations produced by AC-Fed Electric Arc Furnaces,  in regard with  bifurcation dynamics on system.   During study, possible roles of small parameter changes of sample arc furnace system around bifurcation points has been traced over time series analysis, phase plane analysis and bifurcation diagrams. A wide collection of useful dynamic analysis procedures for the exploration of studied arc furnace dynamics have been handled through the AUTO open-source algorithms.

DOI: http://dx.doi.org/10.5755/j01.eee.19.5.1556

Author Biographies

M. Varan, Msc. Eng. Electrical Engineer

Sakarya University Electrical and Electronics Engineering Department - TURKEY

Y. Uyaroğlu, Ass. Professor at Sakarya University Electrical and Electronics Engineering Department

Sakarya University Electrical and Electronics Engineering Department - TURKEY

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Published

2013-05-01

How to Cite

Varan, M., & Uyaroğlu, Y. (2013). Stability Analysis of Nonlinear Oscillations for AC-Fed Electric Arc Furnaces in Context of Bifurcation Dynamics. Elektronika Ir Elektrotechnika, 19(5), 17-20. https://doi.org/10.5755/j01.eee.19.5.1556

Issue

Vol. 19 No. 5 (2013)

Section

ELECTRICAL ENGINEERING

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