Z. Emin, B. A. T. Zahawi, Y. K. Tong, and M. Ugur, “Quantification of the Chaotic Behavior of Ferroresonant Voltage Transformer Circuits,” IEEE Transactions on Circuits and Systems, Fundamental Theory and Applications, Vol. 48, No. 6, June 2001, pp. 757-760.

has been cited by the following article:

• TITLE: Analysis of Chaotic Ferroresonance Phenomena in Unloaded Transformers Including MOV

  AUTHORS: Ataollah Abbasi, Mehrdad Rostami, Ahmad Gholami, Hamid R. Abbasi

  KEYWORDS: Power Transformer, Phase Plane Diagram, Bifurcation Diagram, Chaotic Ferroresonance

  JOURNAL NAME: Energy and Power Engineering, Vol.3 No.4, September 27, 2011

  ABSTRACT: We study the effect of a parallel metal oxide surge arrester on the ferroresonance oscillations of transformers. It is expected that the arresters generally cause ferroresonance drop out. Simulation has been done on a three phase power transformer with one open phase. Effect of varying input voltage is studied. The simulation results reveal that connecting the arrester to transformers poles, exhibits a great mitigating effect on ferroresonant over voltages. Phase plane along with bifurcation diagrams are also presented. Significant effect on the onset of chaos, the range of parameter values that may lead to chaos and magnitude of ferroresonant voltages is obtained, shown and tabulated.