Effect of iron core loss nonlinearity on chaotic ferroresonance in power transformers

Abstract This paper investigates the effect of iron core loss nonlinearity on the onset of chaotic ferroresonance and duration of transient chaos in a power transformer. The transformer chosen for investigation has a rating of 50 MV A, 635.1 kV, the data for which is given by Dommel et al. (Tutorial Course on Digital Simulation of Transients in Power Systems (Chapter 14), IISc, Bangalore, 1983, pp. 17–38). The magnetisation characteristics of the transformer is modelled by a single-value two-term polynomial. The core loss is modelled by a third order power series in voltage. With nonlinearities in core loss included, three effects are clear: (i) onset of chaos at larger values of open phase voltage, (ii) shorter duration of transient chaos, and (iii) less susceptibility to ‘ jump ’ phenomena.

[1]  Z. Emin,et al.  Chaos in ferroresonant wound voltage transformers: effect of core losses and universal circuit behaviour , 1998 .

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

[3]  R. Ramanujam,et al.  Analysis of nonlinear phenomena in MOV connected transformer , 2001 .

[4]  Werner C. Rheinboldt,et al.  A locally parameterized continuation process , 1983, TOMS.

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

[6]  S. Henschel,et al.  Chaotic ferroresonance in power transformers , 1995 .

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

[8]  R. W. Menzies,et al.  Investigation of Station Service Transformer Ferroresonance in Manitoba Hydro's 230-kV Dorsey Converter Station , 2001 .

[9]  N. S. Saxena,et al.  Failure of Electromagnetic Voltage Transformer Due to Sustained Over-Voltage on Switching - an Indepth Field Investigation and Analytical Study , 1981 .

[10]  E. W. Kimbark,et al.  Ferroresonance in a Transformer Switched with an EHV Line , 1972 .

[11]  Jose R. Marti,et al.  Ferroresonance in power systems: chaotic behaviour , 1993 .

[12]  Jos Arrillaga,et al.  Harmonic Norton equivalent for the magnetising branch of a transformer , 1987 .

[13]  Leon O. Chua,et al.  Computer-Aided Analysis Of Electronic Circuits , 1975 .

[14]  A. C. Soudack,et al.  Effect of initial conditions on chaotic ferroresonance in power transformers , 1997 .

[15]  Bruce A. Mork,et al.  Five-legged wound-core transformer model: derivation, parameters, implementation and evaluation , 1999 .

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

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