Login Register Cart 0
Generic placeholder image

Recent Advances in Electrical & Electronic Engineering

Editor-in-Chief

ISSN (Print): 2352-0965
ISSN (Online): 2352-0973

Back
Journal Home About Journal Editorial Board Journal Insight Current Issue Volumes/Issues
Subscribe
Research Article

Investigation on the Stability of an Electric Power Circuit under Ferroresonance Based on Nonlinear Dynamic Model of Transformer

Author(s): Rajat Shubhra Pal* and Madhab Roy

Volume 15, Issue 7, 2022

Published on: 19 September, 2022

Page: [512 - 521] Pages: 10

DOI: 10.2174/2352096515666220817123902

Price: $65

Abstract

Background: Ferroresonance is a complex electrical phenomenon, which has long been considered a problem for power utilities. Besides, founding mitigation techniques, researchers have also devoted their efforts to predicting the occurrence of ferroresonance in susceptible networks. The study requires mathematically suitable transformer models for computer simulations.

Objective: The objective of this paper is to study ferroresonance and examine the stability of the system when source voltage changes gradually from a low value to a high value.

Methods: To meet the objective, the first thing required is to find an appropriate circuit model. The saturable core transformer is represented by its nonlinear dynamic model. With the help of that model, a Simulink block diagram has been developed in MATLAB. The Simulink model is examined under various circuit conditions and the stability of the system is analyzed at different stages.

Results: It has been found that the system passes through a series of period-doubling bifurcation and ultimately reaches chaos.

Conclusion: The model and the method used in this paper can be used as a very helpful tool as well as a powerful technique to understand the effect of specific parameters in the final behavior of the ferroresonance phenomenon.

Keywords: Ferroresonance, nonlinear model of a transformer, hysteresis model, magnetizing curve, poincare, bifurcation, period doubling, chaos.

« Previous Next »
Graphical Abstract

[1]
R. Rudenberg, Transient Performance of Electric Power System.. McGraw-Hill: New York, vol. 5, no. 12, pp. 689-695, 1950.
[2]
C. Hayashi, Nonlinear Oscillations in Physical Systems.. McGraw- Hill: New York, vol. 6, no. 6, pp. 689-695, 1964.
[3]
Y.A. Kuznetsov, Elements of Applied Bifurcation Theory..
Springer-Verlag: New York, vol. 112, 2004. [http://dx.doi.org/10.1007/978-1-4757-3978-7]
[4]
J.M.T. Thompson, and H.B. Stewart, Nonlinear Dynamics and Chaos, 2nded., England John Wiley & Sons, 2002.
[5]
F. Wornle, D.K. Harrison, and C. Zhou, "Analysis of a ferroresonant circuit using bifurcation theory and continuation techniques", IEEE Trans. Power Deliv., vol. 20, no. 1, pp. 191-196, 2005.
[http://dx.doi.org/10.1109/TPWRD.2004.835529]
[6]
P. Sakarung, "Bifurcation diagram with electromagnetic transient program (EMTP) for ferroresonance analysis, ECTI-CON2010", The 2010 ECTI International Conference on Electrical Engineering/ Electronics, Computer, Telecommunications and Information Technology, 19-21 May, 2010. Chiang Mai, Thailand, pp. 289-292, 2010.
[7]
J.A. Corea, F. González, J.A. Martínez, J.A. Barrado, and L. Guasch, "Ferroresonance analysis using 3D bifurcation diagrams", IEEE Power Energy Soc. Gen. Meet..
vol. 2013, pp. 1-5, 2013. [http://dx.doi.org/10.1109/PESMG.2013.6672183]
[8]
T. Tran-Quoc, L. Pierrat, A. Montmeat, and O. Huet, "A dynamic model of power transformers In", In Proceedings of 8th Mediterranean Electrotechnical Conference on Industrial Applications in Power Systems, Computer Science and Telecommunications MELECON 96.
vol. 1, pp. 313-316, 1996. [http://dx.doi.org/10.1109/MELCON.1996.551547]
[9]
S. Ray, "Digital simulation of B/H excursions for power system studies In", In IEE Proceedings C - Generation, Transmission and Distribution.
vol. 138, no. 4, pp. 253-256, 1991. [http://dx.doi.org/10.1049/ip-c.1988.0026]
[10]
T. Tran-Quoc, and L. Pierrat, "An efficient non linear transformer model and its application to ferroresonance study", IEEE Transac. Magnet., vol. 31, no. 3, pp. 2060-2063, 1995.
[http://dx.doi.org/10.1109/20.376449]
[11]
B. Patel, S. Das, C.K. Roy, and M. Roy, "Simulation of ferroresonance with hysteresis model of transformer at no-load measured in laboratory", TENCON 2008, IEEE Region 10 Conference, 19-21 Nov, 2008.
Hyderabad, India, pp. 1-6, 2008. [http://dx.doi.org/10.1109/TENCON.2008.4766386]
[12]
A. Rezaei, R. Iravani, M. Sanaye, H. Mohseni, and S. Farhangi, "An accurate hysteresis model for ferroresonance analysis of a transformer", IEEE Trans. Power Deliv., vol. 23, no. 3, pp. 1448-1456, 2008.
[http://dx.doi.org/10.1109/TPWRD.2007.916225]
[13]
J.C. Lacerda Ribas, E.M. Lourenco, J. Vianei Leite, and N. Batistela, "Modeling fer-roresonance phenomena with a flux-current jiles atherton hysteresis approach", IEEE Trans. Magn., vol. 5, no. 5, pp. 1797-1800, 2013.
[http://dx.doi.org/10.1109/TMAG.2013.2243908]
[14]
M.M Beyranvand, and B. Rezaeealam, "Finite element study of ferroresonance in single-phase transformers considering magnetic hysteresis", J. Mag..
vol. 22, no. 2017, pp. 196-202, 2017. [http://dx.doi.org/10.4283/JMAG.2017.22.2.196]
[15]
R. Madhab, and R.C. Kanti, "A study on ferroresonance with a varying initial conditions using a nonlinear model of transformer", In Proceedings of Third International Conference on Power Systems,1 Dec, 2009. India, pp. 1-6, 2009.
[16]
"Pal Rajat Shubhra and Roy Madhab, "Study and verification of ferroresonance simulated with Rudenburg’s method", Innovations in Energy Management and Renewable Resources, 05-07 Feb, 2021.
Kolkata, India, pp. 1-5, 2021. [http://dx.doi.org/10.1109/IEMRE52042.2021.9386880]
[17]
M. Roy, and C.K. Roy, "A study on ferroresonance and its depedence on instant of switching angle of the source voltage", Third International Conference on Power Systems,1 Dec, 2009.
Kharagpur, India, pp. 277, 2009. [http://dx.doi.org/10.1109/ICPWS.2009.5442704]
[18]
H. Steven Strogatz, Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering:. Perseus Books, 2001, pp. 1-478.
[19]
T.S. Parker, and L.O. Chua, Practical Numerical Algorithms for Chaotic Systems. 1sted., Springer-Verlag: New York, 1989, p. 348.
[http://dx.doi.org/10.1007/978-1-4612-3486-9]
[20]
J. Nicholas Giordano and Hisao Nakanishi, Computational Physics., 2nd ed Prentice Hall, 2006, pp. 58-69.

Rights & Permissions Print Cite
Article Metrics
1
© 2024 Bentham Science Publishers | Privacy Policy