A new approach to eliminating of chaotic ferroresonant oscillations in power transformer

Abstract Ferroresonance is a complex phenomenon, which can result in thermal and electrical stresses on power system equipments. It can also cause chaotic oscillations in power system. In this paper, a new method is proposed to restrict and damp ferroresonant oscillations, which is based on a new of fault current limiter (FCL). In this method in order to restrict chaotic ferroresonance oscillations, a kind of fault current limiters (FCL) is used which has been used to restrict unwanted high current flow in power system before. To study the ferroresonance nonlinear dynamics, in this paper, the chaos theory is used. By using this theory, the changes in system parameters which can cause chaotic ferroresonant oscillations, can be reviewed and analyzed in details. The behavior of the system during ferroresonance occurrence, with and without using proposed FCL, is discussed in bifurcation and phase plane diagrams. By using these diagrams, the behavioral changes of the system can be easily seen in two cases. The simulation results strongly show the effectiveness of using the proposed FCL for restricting the ferroresonant oscillations.

[1]  C. V. Nayar,et al.  Parallel (quasi-periodic) ferroresonant oscillations in electrical power systems , 1995 .

[2]  S. K. Chakravarthy,et al.  Frequency-locked and quasiperiodic (QP) oscillations in power systems , 1998 .

[3]  Ta-Peng Tsao,et al.  Analysis of ferroresonant overvoltages at Maanshan Nuclear Power Station in Taiwan , 2006 .

[4]  J. Thompson,et al.  Nonlinear Dynamics and Chaos: Geometrical Methods for Engineers and Scientists , 1986 .

[5]  Weiren Zhu,et al.  Hybrid phase-locked loop with fast locking time and low spur in a 0.18-um CMOS process , 2014 .

[6]  R. Ramanujam,et al.  Effect of iron core loss nonlinearity on chaotic ferroresonance in power transformers , 2003 .

[7]  D. L. Stuehm,et al.  Application of nonlinear dynamics and chaos to ferroresonance in distribution systems , 1994 .

[8]  S. Perera,et al.  Simulation of HTS saturable core-type FCLs for MV distribution systems , 2006, IEEE Transactions on Power Delivery.

[9]  F. Wornle,et al.  Analysis of a ferroresonant circuit using bifurcation theory and continuation techniques , 2005, IEEE Transactions on Power Delivery.

[10]  D. R. Crane,et al.  Large mill power outages caused by potential transformer ferroresonance , 1988 .

[11]  C. Wattanasakpubal,et al.  Case study of ferroresonance in 33 kV distribution network of PEA Thailand , 2004, 2004 IEEE Region 10 Conference TENCON 2004..

[12]  C. Banmongkol,et al.  Failure of Riser Pole Arrester due to Station Service Transformer Ferroresonance , 2007 .

[13]  Akira Kijima,et al.  Nonlinear oscillation of three-phase circuit , 1976 .

[14]  N. Pundak,et al.  Saturated Cores FCL—A New Approach , 2007, IEEE Transactions on Applied Superconductivity.

[15]  D.A.N. Jacobson,et al.  Examples of ferroresonance in a high voltage power system , 2003, 2003 IEEE Power Engineering Society General Meeting (IEEE Cat. No.03CH37491).

[16]  H. W. Dommel,et al.  On modelling iron core nonlinearities , 1993 .

[17]  Alessandro Clerici,et al.  Dynamic Overvoltages and Ferroresonance Found in Switching Surge Studies for Iran 400 KV System , 1972 .

[18]  A. S. Morched,et al.  Modeling and analysis guidelines for slow transients. III. The study of ferroresonance , 2000 .

[20]  F. Moriconi,et al.  Development and Deployment of Saturated-Core Fault Current Limiters in Distribution and Transmission Substations , 2011, IEEE Transactions on Applied Superconductivity.

[21]  Y. Li,et al.  A Systematical Method for Suppressing Ferroresonance at Neutral-Grounded Substations , 2002, IEEE Power Engineering Review.

[22]  M. Sanaye-Pasand,et al.  Comparison of performance of various ferroresonance suppressing methods in inductive and capacitive voltage transformers , 2006, 2006 IEEE Power India Conference.

[23]  Ahmad Gholami,et al.  Chaotic oscillations control in the voltage transformer including nonlinear core loss model by a nonlinear robust adaptive controller , 2013 .

[24]  Zhihui Yuan,et al.  New Three-Phase Inductive FCL With Common Core and Trifilar Windings , 2010, IEEE Transactions on Power Delivery.

[25]  V. Madzarevic,et al.  Numerical calculations of three-phase transformer transients , 2005, IEEE Transactions on Power Delivery.

[26]  C. Hayashi,et al.  Nonlinear oscillations in physical systems , 1987 .

[27]  R. Simpson,et al.  Subharmonic ferroresonance in an LCR circuit with hysteresis , 1997 .

[28]  R. W. Menzies,et al.  Stability Domain Calculations of Period-1 Ferroresonance in a Nonlinear Resonant Circuit , 2002, IEEE Power Engineering Review.

[29]  A. Nayfeh,et al.  Applied nonlinear dynamics : analytical, computational, and experimental methods , 1995 .

[30]  A. Ben-Tal,et al.  Studying ferroresonance in actual power systems by bifurcation diagram , 1999 .

[31]  M. Fulczyk,et al.  Mitigating Ferroresonance in Voltage Transformers in Ungrounded MV Networks , 2007, IEEE Transactions on Power Delivery.

[32]  S. H. Fathi,et al.  Voltage transformer ferroresonance analysis using multiple scales method and chaos theory , 2013, Complex..

[33]  M. Sanaye-Pasand,et al.  Impacts of Transformer Core Hysteresis Formation on Stability Domain of Ferroresonance Modes , 2009, IEEE Transactions on Power Delivery.

[34]  Wei-Jen Lee,et al.  The jump phenomena , 2008, IEEE Industry Applications Magazine.

[35]  C. Kieny.  Application of the bifurcation theory in studying and understanding the global behavior of a ferroresonant electric power circuit , 1991 .

[36]  F. Busse.  An exploration of chaos: J. Argyris, G. Faust and M. Haase, Elsevier, Amsterdam, 1994, 722 pp., ISBN 0-444-82002-7 (hardbound), 0-444-82003-5 (paperback) , 1994 .