Stability of nonlinear load electric arc furnaces in the presence of reactive power sources

Subject Areas : Electric arc furnace

Pegah Sagha ¹ (دانشگاه آزاد اسلامی واحد علوم و تحقیقات اصفهان)
Bahador Fani ² (دانشگاه آزاد اسلامی واحد نجف آباد)

Received: 2013-09-10 Accepted : 2014-04-23 Published : 2014-06-01

Keywords: Bifurcation, Arc furnace, auto software,

Abstract :

This paper first discusses about Electric arc.the model used in this paper is a dynamic model shown with a differential equation. Then, this model is placed with power system model which is considered as a thevenin equivalent model,and whole dynamical system is derived. With linearization around the work places, Jacobian Matrix of the system was extracted and the stability of equilibrium points specificed. Infollow, restricted equation to the central manifold for system intended is achieved and using that, possible events in the system the critical values of the bifurcation parameter is investigated. At the end, the analytical result is compared with the simulation results obtained with the help of Auto software. Finally, we will conclude that, using one type of the analytical method, one split of power system is characterized, but with using Auto software, all bifurcation are identified in the power system.

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