Studying Effect of Magnetizing Curve Nonlinearity Index on the Occurring Chaotic Ferroresonance Oscillation in Autotransformers

Abstract

This paper investigates the effect of iron core saturation characteristic degree on the onset of chaotic ferrore-sonance and duration of transient chaos in an autotransformer. The transformer chosen for study has a rating of 50 MVA, 635.1 kV, the magnetization characteristic of the autotransformer is modeled by a single-value two-term polynomial with q = 5, 7, 11. The core loss is modeled by a linear resistance and is considered a fix value for it. Simulation results are derived by using MATLAB software and nonlinear dynamics tool such as bifurcation and phase plan diagrams. It is shown settling down to the chaotic region is increased when degree of core nonlinearity is gone from 5 to 11.

Share and Cite:

H. Radmanesh, M. Rostami and J. Khalilpour, "Studying Effect of Magnetizing Curve Nonlinearity Index on the Occurring Chaotic Ferroresonance Oscillation in Autotransformers," Energy and Power Engineering, Vol. 3 No. 2, 2011, pp. 79-86. doi: 10.4236/epe.2011.32011.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] H. W. Dommel, A. Yan, R. J. O. De Marcano and A. B. Miliani, “Tutorial Course on Digital Simulation of Transients in Power Systems,” Chapter 14, IISc, Bangalore, 1983, pp. 17-38.
[2] E. J. Dolan, D. A. Gillies and E. W. Kimbark, “Ferroresonance in a Transformer Switched with an EVH Line,” IEEE Transactions on Power Apparatus and Systems, Vol. PAS-91, 1972, pp. 1273-1280. doi:10.1109/TPAS.1972.293486
[3] R. P. Aggarwal, M. S. Saxena, B. S. Sharma, S. Kumer and S. Krishan, “Failure of Electromagnetic Voltage Transformer due to Sustained Overvoltage on Switching*/an In-Depth Field Investigation and Analytical Study,” IEEE Transactions on Power Apparatus and Systems, Vol. PAS-100, No. 11, 1981, 4448-4455. doi:10.1109/TPAS.1981.316859
[4] C. Kieny, “Application of the Bifurcation Theory in Studying and Understanding the Global Behavior of a Ferroresonant Electric Power Circuit,” IEEE Transactions on Power Delivery, Vol. 6, No. 2, 1991, pp. 866- 872. doi:10.1109/61.131146
[5] A. E. A. Araujo, A. C. Soudack and J. R. Marti, “Ferroresonance in Power Systems: Chaotic Behaviour,” IEE Proceedings-C, Vol. 140, No. 3, 1993, pp. 237-240.
[6] B. A. Mork and D. L. Stuehm, “Application of Nonlinear Dynamics and Chaos to Ferroresonance in Distribution Systems,” IEEE Transactions on Power Delivery, Vol. 9, No. 2, 1994, pp. 1009-1017. doi:10.1109/61.296285
[7] S. K. Chkravarthy and C. V. Nayar, “Frequency-Locked and Quasi Periodic (QP) Oscillations in Power Systems,” IEEE Transactions on Power Delivery, Vol. 13, No. 2, 1997, pp. 560-569. doi: 10.1109/61.660929
[8] S. Mozaffari, M. Sameti and A. C. Soudack, “Effect of Initial Conditions on Chaotic Ferroresonance in Power Transformers,” IEE Proceedings of Generation, Transmission and Distribution, Vol. 144, No. 5, 1997, pp. 456-460. doi:10.1049/ip-gtd:19971459
[9] S. Mozaffari, S. Henschel and A. C. Soudack, “Chaotic Ferroresonance in Power Transformers,” IEE Proceedings of Generation, Transmission and Distribution, Vol. 142, No. 3, 1995, pp. 247-250. doi:10.1049/ip-gtd:19951749
[10] B. A. T. Al Zahawi, Z. Emin and Y. K. Tong, “Chaos in Ferroresonant Wound Voltage Ttransformers: Effect of Core Losses and Universal Circuit Behavioral,” IEE Proceedings of Science, Measurement and Technology, Vol. 145, No. 1, 1998, pp. 39-43. doi:10.1049/ip-smt:19981616
[11] A. Rezaei-Zare, M. Sanaye-Pasand, H. Mohseni, Sh. Farhangi and R. Iravani “Analysis of Ferroresonance Modes in Power Transformers Using Preisach-Type Hysteretic Magnetizing Inductance,” IEEE Transaction on Power Delivery, Vol. 22, No. 2, 2007, pp. 919-928. doi:10.1109/TPWRD.2006.877078
[12] K. Al-Anbarri, R. Ramanujam, T. Keerthiga and K. Kuppusamy, “Analysis of nonlinear phenomena in MOV Connected Transformers,” IEE Proceedings of Generation, Transmission and Distribution, Vol. 148, No. 6, 2001, pp. 562-566. doi:10.1049/ip-gtd:20010571
[13] H. Radmanesh, A. Abassi and M. Rostami, “Analysis of Ferroresonance Phenomena in Power Transformers Including Neutral Resistance Effect,” SoutheastCon’09, IEEE, 1-5 March 2009, Atlanta, pp. 1-5. doi:10.1109/SECON.2009.5233395
[14] H. Radmanesh and M. Rostami, “Effect of Circuit Breaker Shunt Resistance on Chaotic Ferroresonance in Voltage Transformer,” Advances in Electrical and Computer Engineering, Vol. 10, No. 3, 2010, pp. 71-77. http://dx.doi.org/10.4316/AECE.2010.03012.
[15] H. Radmanesh, “Controlling Ferroresonance in Voltage Transformer by Considering Circuit Breaker Shunt Resistance Including Transformer Nonlinear Core Losses Effect,” International Review on Modelling and Simulations, Vol. 3, No. 5, Part A, 2010.
[16] H. Radmanesh and M. Rostami, “Decreasing Ferroresonance Oscillation in Potential Transformers Including Nonlinear Core Losses by Connecting Metal Oxide Surge Arrester in Parallel to the Transformer,” International Review of Automatic Control, Vol. 3, No. 6, OCTNOV- 2010.
[17] “Controlling Chaotic Ferroresonance oscillations in Autotransformers Including Linear and Nonlinear Core Losses Effect,” International Review of electrical engineering (I.R.E.E), Vol. 5 No. 6, Part A, NOV-DEC 2010.

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.