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Modeling of nonlinear coil in a ferroresonant circuit

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Abstract

An adjustment of the standard method of converting measured RMS characteristics of the nonlinear coil into instantaneous characteristics has been suggested. A model of the nonlinear coil, obtained in this way, is used for predicting the prechaotic bifurcation points of a ferroresonant circuit. Slight improvements over the standard method are verified by the experimental results. The cause of the disagreement between the simulation and the measurement is identified.

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Abbreviations

U T :

RMS coil voltage obtained by standard measurements

I T :

RMS total coil current obtained by standard measurements

I L :

RMS inductive coil current

I R :

RMS resistive coil current

P T :

total coil loss obtained by standard measurements

i L :

instantaneous inductive coil current

i R :

instantaneous resistive coil current

φ :

instantaneous coil flux

u L :

instantaneous coil voltage

\({\hat{{U}}}\) :

source amplitude of the ferroresonant circuit

\({\hat{{U}}_L }\) :

coil voltage peak value

\({\hat{{\Phi }}}\) :

coil flux peak value

R S :

winding resistance

u C :

capacitor voltage

i C :

capacitor current

U φ :

flux-based coil voltage

M:

maximum value

N:

nominal value

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Authors and Affiliations

  1. Faculty of Electrical Engineering, University of Osijek, Kneza Trpimira 2B, 31000, Osijek, Croatia

    Kruno Miličević & Ivan Flegar

  2. HEP-Transmission System Operator, Franje Šepera 1a, 31000, Osijek, Croatia

    Igor Lukačević

Authors
  1. Kruno Miličević
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  2. Igor Lukačević
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  3. Ivan Flegar
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Correspondence to Kruno Miličević.

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Miličević, K., Lukačević, I. & Flegar, I. Modeling of nonlinear coil in a ferroresonant circuit. Electr Eng 91, 51–59 (2009). https://doi.org/10.1007/s00202-009-0117-y

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  • DOI: https://doi.org/10.1007/s00202-009-0117-y

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