Once again about the indivisibility of the scattered inductance of the transformer


  • S.E. Zіrka Dnipro National University, Ukraine
  • Y.I. Moroz Dnipro National University, Ukraine
  • C.M. Arturi Politecnico di Milano, Italy




transformer, equivalent circuits, leakage inductances, inrush currents


Purpose. The purpose of the article is to show the inadequacy of the traditional T-shaped equivalent circuit for modeling transformer operations with saturated core. The aim is to point out the unreasonableness of the separation of the transformer leakage inductance into components. The aim is also to explain the need to apply the П-shaped transformer equivalent circuits to transformers with two and three windings with finite radial thickness.

Methodology. Analysis of magnetic fields in the transformer window and simulation of transient processes in equivalent circuits of the transformer using a preprocessor ATPDraw to the program ATP.

Findings. The unfoundedness of the well-known T-shaped transformer equivalent circuit is shown. Differences in the processes in the core legs and yokes when transformer is connected to the network and during short circuits of the windings are noted. Equivalent circuits of a transformer with two and three windings of finite thickness are proposed, reproducing these differences.

Originality. The absence of physical meaning in dividing the transformer leakage inductance into components is stated. The advantages of the П-shaped equivalent circuit are shown when calculating inrush currents accompanying the transformer switching to the network on its inner and outer windings.

Practical value. We show theoretical insolvency and practical unsuitability of the Т-shaped equivalent circuit for studying transformer operations accompanied by saturation of the magnetic circuit. Advantages of the П-shaped equivalent circuit are clarified.

Author Biographies

S.E. Zіrka, Dnipro National University

Professor of the Department of physics and technology of the Dnipro National University, Dnipro

Y.I. Moroz, Dnipro National University

Ph.D., Associate professor of the Department of physics and technology of the Dnipro National University, Dnipro

C.M. Arturi, Politecnico di Milano

Professor of the Department of electronics, information and bioengineering of the Politecnico di Milano, Milan


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How to Cite

Zіrka S., Moroz, Y., & Arturi, C. (2021). Once again about the indivisibility of the scattered inductance of the transformer. Electrical Engineering and Power Engineering, (1), 8–17. https://doi.org/10.15588/1607-6761-2021-1-1