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Perfect Transformer, Current Discontinuity and Degeneracy

  • Suhash Chandra Dutta Roy
Chapter

That on connecting a source in the primary circuit of a perfectly coupled transformer, the currents in both the primary and secondary coils may be discontinuous does not appear to have been widely discussed in the literature. In this discussion, we present an analysis of the general circuit and show that in general, the currents will be discontinuous, except for specific combinations of the initial currents in the two coils. Although unity coupling coefficient cannot be realized in practice, a perfectly coupled transformer is a useful concept in circuit analysis and synthesis, and the results presented here should be of interest to students as well as teachers of circuit theory.

Keywords

Perfect transform Current discontinuity Degeneracy 

References

  1. 1.
    F.F. Kuo, Network Analysis and Synthesis (John Wiley, New York, 1966), pp. 123–126Google Scholar
  2. 2.
    S. Seshu, N. Balabanian, Linear Network Analysis (John Wiley, New York, 1963), pp. 101–112Google Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  1. 1.Department of Electrical EngineeringIndian Institute of Technology DelhiNew DelhiIndia

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