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Abstract
This paper deals with the problem of the leakage inductance calculations in power transformers. Commonly, the leakage flux in the air zone is represented by short-circuit inductance, which determines the short-circuit voltage, which is a very important factor for power transformers. That inductance is a good representation of the typical power transformer windings, but it is insufficient for multi-winding ones. This paper presents simple formulae for self- and mutual leakage inductance calculations for an arbitrary pair of windings. It follows from a simple 1D approach to analyzing the stray field using a discrete differential operator, and it was verified by the finite element method (FEM) calculation results.
Highlights
Power transformers are rather well-recognized electromagnetic devices
Besides the classical single-phase and three-phase, new types of power transformers have been designed for special applications: power system control, power electronics units, or electrical traction
This paper presents formulae for all these leakage inductances which follow from the 1D approach, the same as is used for the short-circuit inductance calculation
Summary
Power transformers are rather well-recognized electromagnetic devices. During the almost. Rectifier transformers generating multi-phase voltages or currents can have many windings. The location of the windings loses symmetry that is characteristic for classical three-phase power transformers. Single-phase traction transformers, to ensure various voltage levels on a traction vehicle at different traction supply systems, consist of many (up to 25) separate windings [6,7]. The location of (c)the windings loses transformers and symmetry is characteristic for classical power transformers
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