Ferroresonance modes determination of single-phase toroidal transformers

The actual high incidence of the low-loss power transformers in the modern electric and electronic installations, increase the risk of the ferroresonance occurrence. This could be commonly triggered by a capacitive switching of the transformers. Consequently, significant overvoltages and overcurents are experienced by all the installation components, jeopardizing their proper functionality. Additionally, this phenomenon is also associated with high order voltage and current harmonics, which adversely spread out into the entire network. This paper predetermines the ferroresonance solution of single-phase toroidal transformers with rated power up to 10 kVA. The study is conducted by solving the nonlinear differential equations system that model the transient process. Thus, the voltage and current waveforms are predicated and critically analyzed. Supplementary, some mitigation solutions to these phenomenon undesirable consequences are suggested.

[1]  D. Giordano,et al.  Parameters Affecting Ferroresonance in $LCR$ Electric Circuits , 2008, IEEE Transactions on Magnetics.

[2]  Dynamics on ferroresonant circuit exhibiting chaotic phenomenon , 2004, IEEE Transactions on Magnetics.

[3]  J. A. Martinez,et al.  Single-phase transformer model validation for ferroresonance analysis including hysteresis , 2015, 2015 IEEE Power & Energy Society General Meeting.

[4]  Emil Cazacu,et al.  An efficient method for investigating the ferroresonance of single-phase iron core devices , 2017, 2017 10th International Symposium on Advanced Topics in Electrical Engineering (ATEE).

[5]  Mohammad A. S. Masoum,et al.  Power Quality in Power Systems and Electrical Machines , 2008 .

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

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

[8]  Elmo Price,et al.  A tutorial on ferroresonance , 2014, 2014 67th Annual Conference for Protective Relay Engineers.

[9]  Jasmin Smajic,et al.  Modeling and Simulations of Ferroresonance by Using BDF/NDF Numerical Methods , 2015, IEEE Transactions on Power Delivery.

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

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

[12]  M. Roche,et al.  Rosenbrock methods for Differential Algebraic Equations , 1987 .

[13]  Thomas J. Dionise,et al.  A case study of voltage transformer failures in a modern data center: Analysis, mitigation, and solution implementation , 2016, 2016 IEEE/IAS 52nd Industrial and Commercial Power Systems Technical Conference (I&CPS).

[14]  E. M. Lourenco,et al.  Modeling Ferroresonance Phenomena With a Flux-Current Jiles-Atherton Hysteresis Approach , 2013, IEEE Transactions on Magnetics.

[15]  Luis Guasch-Pesquer,et al.  Tools for Characterization and Assessment of Ferroresonance Using 3-D Bifurcation Diagrams , 2014, IEEE Transactions on Power Delivery.

[16]  Boonyang Plangklang,et al.  Ferroresonance phenomenon in PV system at LV side of three phase power transformer using of PSCAD simulation , 2016, 2016 13th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology (ECTI-CON).

[17]  J. Brauer.  Simple equations for the magnetization and reluctivity curves of steel , 1975 .