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Analysis of transformers on the concept of elementary winding

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Abstract

The complexity and variety of winding configurations give rise to the difficulty in generalizing the analysis procedures of a transformer. Based on the abstraction of the manufacture procedures and structures of windings, this paper proposes the concept of elementary winding. By the self- and mutual impedance matrix of elementary windings and their short- circuited impedance matrix, the corresponding two kinds of circuit equations are fabricated, respectively. Subsequently, calculation of the self- and mutual impedances and the short-circuited impedances for element windings is conducted. And a wonderful method for describing connection of element windings is presented. Finally, an example verified the proposed theory which underpins the generalization of analysis procedures of a transformer and other apparatus of its kind.

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References

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Authors and Affiliations

  1. Department of Information and Electrical Engineering, Lanzhou Jiaotong University, Lanzhou, China

    Mingxing Tian

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  1. Mingxing Tian
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Correspondence to Mingxing Tian.

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Tian, M. Analysis of transformers on the concept of elementary winding. Electr Eng 89, 553–561 (2007). https://doi.org/10.1007/s00202-006-0040-4

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  • DOI: https://doi.org/10.1007/s00202-006-0040-4

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