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Analytical Solution to Fundamental Ferroresonance of Ineffectively Grounded Three Phase Transformers

M. Moradi(1*), A. Gholami(2)

(1) IUST (Iran University of science and Technology ), Iran, Islamic Republic of
(2) IUST (Iran University of science and Technology ), Iran, Islamic Republic of
(*) Corresponding author


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Abstract


This paper investigates the effect of neutral ground resistance on the ferroresonance behavior of a three phase transformer. For simplicity only fundamental ferroresonance (FF) solutions has been addressed. Harmonic balanced method has been used to formulate an analytical solution to the problem of fundamental frequency ferroresonance (FF) in a three phase system.  Continuation has been used to study ferroresonance circuit around parameter space when a control parameter is varied. Time domain simulation has been carried out and compared with analytical solutions.  The results reveal that the presence of neutral resistance, even a low value, has a major role on FF stability domain.  Different scenarios like one phase and two phase switching have been studied.
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Keywords


Ferroresonance; Nonlinear Circuits; Three Phase Transformers

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References


D. Jacobson, P. Lehn, and R. Menzies, Stability Domain Calculations of Period-1 Ferroresonance in a Nonlinear Resonant Circuit,” IEEE Transaction on Power Delivery, Vol. 17 Issue 3: 865-871 July 2002.
http://dx.doi.org/10.1109/tpwrd.2002.1022816

F. Wörnle, D. Harrison, and C. Zhou, Analysis of a Ferroresonant Circuit Using Bifurcation Theory and Continuation Techniques, IEEE Transaction on Power Delivery, Vol. 20 (Issue 1):191-196, January 2005.
http://dx.doi.org/10.1109/tpwrd.2004.835529

J. Marti, A. Soudack, Ferroresonance in power systems : Fundamental, Solutions, IEE Proceeding-C,Vol. 138 (Issue 4):321-329, July 1991
http://dx.doi.org/10.1049/ip-c.1991.0040

Yunge Li, Wei Shi, and Furong Li, Novel Analytical Solution to Fundamental Ferroresonance, IEEE Transaction on Power Delivery, Vol. 21 (Issue 2):788-793 April 2006.
http://dx.doi.org/10.1109/tpwrd.2005.859303

A. Narang and R.H Brierly, Topology Based Magnetic Model for steady state and Transient studies for three-phase core type Transformers, IEEE Transaction on Power Systems, Vol. 9 (Issue 3):1337-1349, August 1994.
http://dx.doi.org/10.1109/59.336132

X. S. Chen and S.S Venkata, A three-phase three winding core type transformer model for low frequency transient studies IEEE Transaction on Power Delivery, Vol. 12 (Issue 2):775-782 April 1997.
http://dx.doi.org/10.1109/61.584369

N. Janssens, et. al., Direct Calculation of the Stability Domains of Three-phase Ferroresonance in Isolated Neutral Networks with Grounded-Neutral Voltage Transformers, IEEE Transaction on Power Delivery, Vol. 11 (Issue 3):1546-1553 July 1996.
http://dx.doi.org/10.1109/61.517515

T.Van Craenenbroeck, et. al, “Bifurcation Analysis of Three-phase Ferroresonant Oscillations in Ungrounded Power Systems” IEEE Transaction on Power Delivery, Vol. 14 (Issue2):531-536 April 1999.
http://dx.doi.org/10.1109/61.754099

R.A. Walling, K.D. Baker, Ferroresonance Overvoltages in Grounded wye-wye Padmount Transformers with Low-Loss Silicon –Steel Cores, IEEE Transaction on Power Delivery, Vol. 8 (Issue 3):1647-1660 July 1993.
http://dx.doi.org/10.1109/61.252691

Short , T., Burke, J., Mancao, R., Application of MOVs in the Distribution Environment, IEEE Transaction on Power Delivery, Vol. 9 (Issue 1):293-305 January. 1994.
http://dx.doi.org/10.1109/61.277700

T. Tran-Quoc, L. Pierrat, An Efficient Non Linear Transformer Model and its Application to Ferroresonance Study”, IEEE Transaction on Magnetics, Vol. 31 (Issue 3):2060-2063, May 1995.
http://dx.doi.org/10.1109/20.376449

K. Al-Anbarri, R. Ramanujam , R. Saravanaselvan, and K. Kuppusamy, Effect of iron core loss nonlinearity on chaotic ferroresonance in power transformers, Electric Power Systems Research Vol. 65: 1-12, 2003
http://dx.doi.org/10.1016/s0378-7796(02)00210-9

K.S. Preetham et al. Investigation of Subharmonic Ferroresonant Oscillations in Power Systems, Electric Power Systems Research Vol. : 76 873–879, 2006
http://dx.doi.org/10.1016/j.epsr.2005.11.005

Afshin Rezaei-Zare et al. , Impacts of Transformer Core Hysteresis Formation on Stability Domain of Ferroresonance Modes, IEEE Transaction on Power Delivery, Vol. 24 (Issue 1):177-186 January.2009
http://dx.doi.org/10.1109/tpwrd.2008.2002668

R. Saravanaselvan, et al. Ferroresonant Oscillations in a Transformer Terminated Line Due to an Energized Parallel Line on the Same Right-of-way, IEE Proceeding of Generation, Transmission, and Distribution, Vol. 152 (Issue 4): 475-482, July 2005.
http://dx.doi.org/10.1049/ip-gtd:20045110

S. Mozaffari, M.Sameti, A. C. Soudack, Effect of Initial Conditions on Chaotic Ferroresonance, IEE Proceeding of Generation, Transmission, and Distribution, Vol. 144 (Issue 5): 456-460, September 1997.
http://dx.doi.org/10.1049/ip-gtd:19971459

C. Kieny, et al. , Ferroresonance Study Using Galerkin Method with Pseudo-Arclength Continuation Method, IEEE Transaction on Power Delivery, Vol. 6 (Issue 4):1841-1847 October 1991.
http://dx.doi.org/10.1109/61.97730


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