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Abstract
The article presents the calculation of the leakage inductance in power transformers. As a rule, the leakage flux in the transformer window is represented by the short-circuit inductance, which affects the short-circuit voltage, and this is a very important factor for power transformers. This inductance reflects the typical windings of power transformers well, but is insufficient for special transformers or in any case of the internal asymmetry of windings. This paper presents a methodology for calculations of the self- and mutual-leakage inductances for windings arbitrarily located in the air window. It is based on the 2D approach for analyzing the stray field in the air zone only, using discrete partial differential operators. That methodology is verified with the finite element method tested on real transformer data.
Highlights
In the long history of research on power transformers, countless books have been published, for example [1,2,3,4,5,6,7]
Finite Element Method (FEM) calculations calculations show that the tangential components afrom magnetic field onform the air air window boundaries keep constant values
This paper presented a method for calculations of self- and mutual-leakage inductances of transformer windings with arbitrary winding locations in the air windows
Summary
In the long history of research on power transformers, countless books have been published, for example [1,2,3,4,5,6,7]. The first matrix circuit representation of ferromagnetic core with non-linear lumped parameters, omitting fluxes in has inductances, due to fluxes in the core, and the second one results from the leakage field in the the air. 1, the matrices window is magnetically linear.in (1) take extremely simple forms, which are well known from books and textbooks Those matrices arewith determined threeand lumped parameters: For symmetrically designed power transformers, magnetic by circuits winding locations σ. The short-circuit inductance is calculated from limb, the magnetic field in the the ampere-turn transformer in the transformer window with two windings on the same assuming that window with and two the windings on the same limb, that the ampere-turn compensates andfield the compensates magnetic permeability ofassuming the ferromagnetic core is sufficiently high. Difficulties in formulating the boundary boundary conditions conditions for for the the case case of of one one winding winding in in the the air formulating the air window window has has been been omitted omitted based on the results of test calculations using the
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