H. RADMANESH ET AL.

Copyright © 2011 SciRes. EPE

489

012345678

0

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8

Input voltage(perunit)

Voltage of Transformer(perunit)

Bifurcation Diagram of Power Transformer with q=11 considering ferroresonance limiter effect

(1)

(2)

(3)

Figure 10. Bifurcation diagram with q = 11 considering fer-

roresonance limiter effect.

Table 4. Simulation results considering ferroresonance lim-

iter effect.

q/E 1 2 3 4 5 6 7 8

7 P1 P1 P1 P1 P1 P1 P1 P1

11 P3 P1 P1 P2 P2 P2 P2 P2

P: period.

the power system equipment’s, and specially can cause

transformer failure. Also chaotic ferroresonance is con-

trolled by considering ferroresonance limiter. Linear core

losses are the most important factor for occurring fer-

roresonance. By considering ferroresonance limiter ef-

fect, ferroresonance overvoltage is ignored and even if

unwanted phenomena are appeared, transformer can

works in the safe operation region and there is no dan-

gerous condition in the power system.

7. References

[1] 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

[2] J. Bethenod, “Sur le Transformateur et Résonance,”

L’Eclairae Electrique, Vol. 30, 1907, pp. 289-296.

[3] J. W. Butler and C. Concordia, “Analysis of Series Ca-

pacitor Application Problems,” AIEE Transactions, Vol. 56,

No. 8, 1937, pp. 975-988.

[4] Z. Emin, B. A. T. Al Zahawi and Y. K. Tong, “Voltage

Transformer Ferroresonance in 275 kV Substation,” 11th

International Symposium on High Voltage Engineering,

Vol. 1, No. 2, 1999, pp. 283-286.

[5] R. G. Andrei and B. R. Halley, “Voltage Transformer

Ferroresonance from an Energy Transfer Standpoint,”

IEEE Transactions on Power Delivery, Vol. 4, No. 3,

1989, pp. 1773-1778. doi:10.1109/61.32672

[6] Y. G. Li, W. Shi, R. Qin and J. L. Yang, “A Systematical

Method for Suppressing Ferroresonance at Neutral-Groun-

ded Substations,” IEEE Transactions on Power Delivery,

Vol. 18, No. 3, July 2003, pp. 1009-1014.

doi:10.1109/TPWRD.2003.813858

[7] C. Charalambous, Z. D. Wang, M. Osborne and P. Jar-

man, “Sensitivity Studies on Power Transformer Fer-

roresonance of a 400 kv Double Circuit,” IET Journal of

Generation, Transmission & Distribution, Vol. 2, No. 2,

March 2008, pp. 159-166.

[8] Y. G. Li, W. Shi and F. R. 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.

doi:10.1109/TPWRD.2005.859303

[9] D. A. N. Jacobson, P. W. Lehn and R. W. Menzies, “Sta-

bility Domain Calculations of Period-1 Ferroresonance in

a Nonlinear Resonant Circuit,” IEEE Transactions on

Power Delivery, Vol. 17, No. 3, 2002, pp. 865-871.

doi:10.1109/TPWRD.2002.1022816

[10] G. Mokryani and M.-R. Haghifam, “Application of

Wavelet Transform and MLP Neural Network for Fer-

roresonance Identification,” IEEE Conference of Conver-

sion and Delivery of Electrical Energy in the 21st Cen-

tury, Pittsburgh, 20-24 July 2008, pp. 1-6, 20-24.

[11] A. Rezaei-Zare, R. Iravani and M. Sanaye-Pasand, “Im-

pacts of Transformer Core Hysteresis Formation on Sta-

bility Domain of Ferroresonance Modes,” IEEE Transac-

tions on Power Delivery, Vol. 24, No. 1, 2009, pp. 177-

186. doi:10.1109/TPWRD.2008.2002668

[12] C. A. Charalambous, Z. D. Wang, P. Jarman and M. Os-

borne, “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.

doi:10.1109/TPWRD.2009.2016629

[13] P. G. Khorasani and A. Deihimi, “A New Modeling of

Matlab Transformer for Accurate Simulation of Ferrore-

sonance,” International Conference on Power Engineer-

ing, Energy and Electrical Drives, Vol. 1, No. 3, March

2009, pp. 529-534.

[14] H. Radmanesh and M. Rostami, “Effect of Circuit Brea-

ker Shunt Resistance on Chaotic Ferroresonance in Volt-

age Transformer,” Advances in Electrical and Computer

Engineering, Vol. 10, No. 3, 2010, pp. 71-77.

[15] H. Radmanesh, “Controlling Ferroresonance in Voltage

Transformer by Considering Circuit Breaker Shunt Re-

sistance Including Transformer Nonlinear Core Losses

Effect,” International Review on Modeling and Simula-

tions, Vol. 3, No. 5, Part A, 2010, pp. 988-996.

[16] H. Radmanesh, “Controlling Chaotic Ferroresonance Oscil-

lations in Autotransformers Including Linear and Non-

linear Core Losses Effect,” International Review of Elec-

trical Engineering, Vol. 5, No. 6, 2010, pp. 2644- 2652.

[17] S. Mozaffari, M. Sameti and A. C. Soudack, “Effect of

Initial Conditions on Chaotic Ferroresonance in Power

Transformers,” IEE Proceedings*/Generation, Transmis-

sion and Distribution, Vol. 144, 1997, pp. 456-460.

doi:10.1049/ip-gtd:19971459