Effect of New Suggested Ferroresonance Limiter on the Stability Domain of Chaotic Ferroresonance in the Power Transformer with Linear Core Model


This Paper studies the effect of new suggested ferroresonance limiter on controlling ferroresonance oscillations in the power transformer. It is expected that this limiter generally can control the ferroresonance. For studying these phenomena, at first ferroresonance is introduced and a general modeling approach is given. A simple case of ferroresonance in a three phase transformer is used to illustrate these phenomena. Then, effect of new suggested ferroresonance limiter on the onset of chaotic ferroresonance and control of these oscillations in a power transformer including linear core losses is studied. Simulation is done on a three phase power transformer while one of its phases is opened, and effect of varying input voltage on occurring ferroresonance overvoltage is studied. Results show that connecting the ferroresonance limiter to the transformer exhibits a great controlling effect on the ferroresonance overvoltage. Phase plane diagram, FFT analysis along with bifurcation diagrams are also presented. Significant effect on occurring chaotic ferroresonance, the range of parameter values that may lead to overvoltage and magnitude of ferroresonance overvoltage is obtained, showed and tabulated.

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H. Radmanesh, H. Fathi and M. Rostami, "Effect of New Suggested Ferroresonance Limiter on the Stability Domain of Chaotic Ferroresonance in the Power Transformer with Linear Core Model," Energy and Power Engineering, Vol. 3 No. 4, 2011, pp. 483-489. doi: 10.4236/epe.2011.34058.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] B. A. Mork, D. L. Stuehm, Application of nonlinear dynamics and chaos to ferroresonance in distribution systems, IEEE Transactions on Power Delivery 9 (1994) 1009_/1017
[2] J. Bethenod, “Sur le transformateur et résonance,” L’Eclairae Electrique, Nov. 30, 1907, pp. 289-296.
[3] J. W. Butler and C. Concordia, “Analysis of series capacitor application problems,” AIEE Trans., Vol. 56, (1937) pp. 975-988.
[4] Emin, Z.; Al Zahawi, B. A. T.; Tong, Y. K.;, “Voltage transformer ferroresonance in 275 kV substation”, 1999. Eleventh International Symposium on High Voltage Engineering, Vol.1, No.2, 1999, pp.283-286.
[5] Andrei, R.G.; Halley, B.R.;, “Voltage transformer ferroresonance from an energy transfer standpoint,” IEEE Transactions on Power Delivery, Vol. 4, No. 3, Jul 1989, pp. 1773-1778.
[6] Yunge Li; Wei Shi; Rui Qin; Jilin Yang;, “A systematical method for suppressing ferroresonance at neutral- grounded substations,” IEEE Transactions on Power Delivery, Vol. 18, No. 3, July 2003, pp. 1009-1014.
[7] Charalambous, C.; Wang, Z. D.; Osborne, M.; Jarman, P.; “Sensitivity studies on power transformer ferroresonance of a 400 kV double circuit,” IET journal of Generation, Transmission & Distribution, Vol. 2, No. 2, March 2008, pp. 159-166.
[8] Yunge Li; Wei Shi; Furong Li; “Novel analytical solution to fundamental ferroresonance-part I: power frequency excitation characteristic,” IEEE Transactions on Power Delivery, Vol. 21, No. 2, April 2006, pp. 788-793.
[9] Jacobson, D. A. N.; Lehn, P. W.; Menzies, R. W.; “Stability domain calculations of period-1 ferroresonance in a nonlinear resonant circuit,” IEEE Transactions on Power Delivery, Vol. 17, No. 3, Jul 2002, pp. 865- 871.
[10] Mokryani, G.; Haghifam, M.-R.;, “Application of wavelet transform and MLP neural network for Ferroresonance identification,” IEEE Conference of Conversion and Delivery of Electrical Energy in the 21st Century, Vol., No., July 2008, pp.1-6, 20-24.
[11] Rezaei-Zare, A.; Iravani, R.; Sanaye-Pasand, M.; “Impacts of transformer core hysteresis formation on stability domain of ferroresonance modes,” IEEE Transactions on Power Delivery, Vol. 24, No. 1, Jan. 2009, pp. 177-186.
[12] Charalambous, C. A.; Wang, Z. D.; Jarman, P.; Osborne, M.;, “2-D Finite-Element Electromagnetic Analysis of an Autotransformer Experiencing Ferroresonance,” IEEE Transactions on Power Delivery, Vol. 24, No. 3, July 2009, pp. 1275-1283.
[13] Khorasani, P.G.; Deihimi, A.; “A new modeling of Matlab transformer for accurate simulation of ferroresonance,” International Conference on Power Engineering, Energy and Electrical Drives, Vol. 1, No. 3, March 2009, pp. 529-534.
[14] H. Radmanesh, M. Rostami, “Effect of circuit breaker shunt resistance on chaotic ferroresonance in voltage transformer,” Advances in Electrical and Computer Engineering, Vol. 10, No. 3, pp. 71-77, 2010.
[15] H. Radmanesh, “Controlling Ferroresonance in Voltage Transformer by Considering Circuit Breaker Shunt Resistance Including Transformer Nonlinear Core Losses Effect,” International Review on Modeling and Simulations, Vol. 3, No. 5, Part A, 2010, pp. 988- 996.
[16] H. Radmanesh, “Controlling Chaotic Ferroresonance oscillations in Autotransformers Including Linear and Nonlinear Core Losses Effect,” International Review of Electrical Engineering, Vol. 5, No. 6, 2010, pp. 2644- 2652.
[17] S. Mozaffari, M. Sameti, A. C. Soudack, Effect of initial conditions on chaotic ferroresonance in power transformers, IEE Proceedings*/Generation, Transmission and Dis- tribution 144(1997) 456_/460.

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