-
-
-
VARIATION OF MAGNETIC FLUX ON THE OCCURRENCE OF FERRORESONANCE IN A TRANSFORMER USING FINITE ELEMENT METHOD
Rajat Shubhra Pal, Madhab Roy
DOI: 10.15598/aeee.v22i1.5307
Abstract
Ferroresonance is an oscillation in a nonlinear circuit containing transformers at lightly load or no-load coupled with capacitor. The non-linear behaviour of the core material of the transformer at no-load is represented by a nonlinear equation. The capacitive effects of the power network are treated as a capacitor in series with the transformer equivalent circuit. As the system contains a nonlinear equation, it was difficult to analyse the model using the linear method. The finite Element Method is used here for the simulations of ferroresonance. The Finite Element Method allows a field solution to be obtained, even with time-varying fields with non-homogeneous or non-linear fields. This method helps to find out the changes that occur in the magnetic structure of the core under ferroresonance. Supply voltage is taken as the variable parameter. Capacitor and transformer voltages along with the phase plane are analysed before and after the occurrence of ferroresonance over-voltage. Distribution and change in the magnetic flux during the triggering of ferroresonance are also examined.
Keywords
References
J. T. Salihi, "Theory of ferroresonance," in Transactions of the American Institute of Electrical Engineers, Part I: Communication and Electronics, vol. 78, no. 6, pp. 755-763, Jan. 1960, doi: 10.1109/TCE.1960.6368465.
H.R. Abbasi Fordoei, H. Heydari, S.A. Afsari, “Elimination of chaotic ferroresonance in power transformer by ISFCL”, International Journal of Electrical Power & Energy Systems, Volume 68, 2015, Pages 132-141, doi: 10.1016/j.ijepes.2014.12.050.
H. A. Sharbain, A. Osman and A. El-Hag, "Detection and identification of ferroresonance," 2017 7th International Conference on Modeling, Simulation, and Applied Optimization (ICMSAO), Sharjah, United Arab Emirates, 2017, pp. 1-4, doi: 10.1109/ICMSAO.2017.7934904.
T. Abdelazim Mellik, F. D. Painter, D. D. Shipp and T. J. Dionise, "Proactive Study and Novel Mitigation of MV Power System Damage Due to Sub-Power-Frequency Ferro-Resonance for a Gas Plant," in IEEE Transactions on Industry Applications, vol. 54, no. 4, pp. 3991-4000, July-Aug. 2018, doi: 10.1109/TIA.2018.2814564.
R. Rudenberg, “Transient Performance of Electric Power System,” New York: McGraw-Hill, 1950, pp. 642–656.
M. Abdel-Hamed, M. M. El-Shafhy and E. A. Badran, "High Ohmic Reactor as a Shunt Limiter (HOR-SL) Method for Ferroresonance Elimination in the Distribution System," in IEEE Access, vol. 10, pp. 134217-134229, 2022, doi: 10.1109/ACCESS.2022.3231190.
R. Rogersten and R. Eriksson, "Dealing with Ferroresonance in Series-Compensated Power Systems: An Operational Guideline," 2021 IEEE PES Innovative Smart Grid Technologies Europe (ISGT Europe), Espoo, Finland, 2021, pp. 1-6, doi: 10.1109/ISGTEurope52324.2021.9639946.
M. I. Mosaad and N. A. Sabiha, "Ferroresonance Overvoltage Mitigation Using STATCOM for Grid-connected Wind Energy Conversion Systems," in Journal of Modern Power Systems and Clean Energy, vol. 10, no. 2, pp. 407-415, March 2022, doi: 10.35833/MPCE.2020.000286.
M. Tajdinian, M. Allahbakhshi, S. Biswal, O. P. Malik and D. Behi, "Study of the Impact of Switching Transient Overvoltages on Ferroresonance of CCVT in Series and Shunt Compensated Power Systems," in IEEE Transactions on Industrial Informatics, vol. 16, no. 8, pp. 5032-5041, Aug. 2020, doi: 10.1109/TII.2019.2951332.
R. Pordanjani, X. Liang, Y. Wang, and A. Schneider, "Single-Phase Ferroresonance in an Ungrounded System During System Energization," in IEEE Transactions on Industry Applications, vol. 57, no. 4, pp. 3530-3537, July-Aug. 2021, doi: 10.1109/TIA.2021.3079878.
Q. Wu, D. Deswal, M. Yang, S. Wang, and F. de León, "Experimental Study of Magnetic Effects of Steel Tanks on Three-Phase Transformer Transients," in IEEE Transactions on Power Delivery, vol. 35, no. 2, pp. 665-673, April 2020, doi: 10.1109/TPWRD.2019.2920105.
E. Melgoza, R. Escarela-Perez, J. L. Guardado and M. A. Arjona-López, "Strong Coupling of an Electromagnetic Transients Program and a Finite Element Magnetic Field Solver Including Eddy Currents," in IEEE Transactions on Power Delivery, vol. 32, no. 3, pp. 1414-1421, June 2017, doi: 10.1109/TPWRD.2016.2604225.
Morteza Mikhak-Beyranvand, Behrooz Rezaeealam, Jawad Faiz, Afshin Rezaei-Zare, “Impacts of ferroresonance and inrush current forces on transformer windings” IET Electr. Power Appl., 2019, Vol. 13 Iss. 7, pp. 914-921 doi: 10.1049/iet-epa.2018.5193
L. V. Bykovskaya and V. Bykovskiyi, "Simulation of a Voltage Transformer with a Magnetic Core Made of Amorphous Steels," 2020 International Conference on Industrial Engineering, Applications and Manufacturing (ICIEAM), Sochi, Russia, 2020, pp. 1-5, doi: 10.1109/ICIEAM48468.2020.9111971.
B. Rezaeealam, B. Norouzi, “Investigating Ferroresonance Phenomenon in a Single-Phase Transformer with the Effect of Magnetic Hysteresis” Indonesian Journal of Electrical Engineering and Computer Science, Vol. 2, No. 2, May 2016, pp. 248 – 258. doi: http://doi.org/10.11591/ijeecs.v2.i2.pp248-258
S. Jazebi et al., "Duality Derived Transformer Models for Low-Frequency Electromagnetic Transients—Part I: Topological Models," in IEEE Transactions on Power Delivery, vol. 31, no. 5, pp. 2410-2419, Oct. 2016, doi: 10.1109/TPWRD.2016.2517327.
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 - 2008 IEEE Region 10 Conference, Hyderabad, India, 2008, pp. 1-6, doi: 10.1109/TENCON.2008.4766386.
H. Radmanesh, "Distribution Network Protection Using Smart Dual Functional Series Resonance-Based Fault Current and Ferroresonance Overvoltage Limiter," in IEEE Transactions on Smart Grid, vol. 9, no. 4, pp. 3070-3078, July 2018, doi: 10.1109/TSG.2016.2626152.
N. Bianchi, “Electrical Machine Analysis using Finite Elements”, CRC Press, 2005
S. E. Zirka, Y. I. Moroz, A. J. Moses and C. M. Arturi, "Static and Dynamic Hysteresis Models for Studying Transformer Transients," in IEEE Transactions on Power Delivery, vol. 26, no. 4, pp. 2352-2362, Oct. 2011, doi: 10.1109/TPWRD.2011.2140404.
Email this article 
