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Journal ArticleDOI

Effects of eddy currents in transformer windings

P.L. Dowell
- Vol. 113, Iss: 8, pp 1387-1394
TLDR
In this article, the effect of eddy currents on transformer windings is considered and a method is derived for calculating the variation of winding resistance and leakage inductance with frequency for transformers with single-layer, multilayer and sectionalised windings.
Abstract
The effects of eddy currents in transformer windings are considered, and a method is derived for calculating the variation of winding resistance and leakage inductance with frequency for transformers with single-layer, multilayer and sectionalised windings. The method consists in dividing the winding into portions, calculating the d.c. resistances and d.c. leakage inductances of each of these portions, and then multiplying the d.c. values by appropriate factors to obtain the corresponding a.c. values. These a.c. values are then referred to, say, the primary winding and summed to give the total winding resistance and leakage inductance of the transformer. Formulas are derived and quoted for calculating the d.c. resistances and leakage inductances of the winding portions. Theoretical expressions are derived for the variation with frequency etc. of the factors by which the d.c. values must be multiplied to obtain the corresponding a.c. values. These expressions are presented in the form of graphs, permitting the factors to be read as required.

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Citations
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Proceedings ArticleDOI

Comparison of analytical methods for calculating the AC resistance and leakage inductance of medium-frequency transformers

TL;DR: In this article, a detailed investigation and comparison of different analytical expressions for the high-frequency resistance of medium-frequency transformers is presented, made by 2D FEM simulations and experimental tests with suitable transformers.
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An Analytical Correction to Dowell's Equation for Inductor and Transformer Winding Losses Using Cylindrical Coordinates

TL;DR: In this article, the effect of winding curvature on the losses relative to Dowell's equation was examined by solving the problem completely in cylindrical coordinates, and a mathematical model was derived for the relative error between the two solutions.
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Efficiency comparison between the LLCL and LCL-filters based single-phase grid-tied inverters

TL;DR: In this paper, power losses and energy efficiency of LLCL-filter based single-phase grid-tied inverters are analyzed and compared under the discontinuous unipolar, the dual-buck and the bipolar modulations.
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Planar Transformer With Asymmetric Integrated Leakage Inductance Using Horizontal Air Gap

TL;DR: In this paper, a planar-based transformer winding and core structure with controllable leakage inductance generation for integrated magnetics applications was proposed, where a new approach was proposed utilizing semi-interleaved windings and controllably leakage via a leakage flux core leg featuring a horizontal air gap.
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Experimental evaluation of losses in magnetic components for power converters

TL;DR: The authors present a very versatile experimental method to measure losses in magnetic components and discusses accurate measurement of conduction losses, separation of core and conduction loss, measurement at high frequencies, and scale modeling of magnetic components.
References
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Journal ArticleDOI

Effective resistance to alternating currents of multilayer windings

TL;DR: In this article, a multilayer winding carrying an alternating current, such as the windings illustrated in figures 1, 2, and 3, each layer of copper lies in the alternating magnetic field set up by the current in all the other layers.
Journal ArticleDOI

Eddy Currents in Large Slot-Wound Conductors

TL;DR: In this article, the authors discuss the more important causes of eddy currents in heavy conductors carrying alternating currents and surrounded on three sides by iron, and propose a method to identify the most important causes.
Journal ArticleDOI

Eddy-Current Losses in Cylindrical Conductors, with Special Applications to the Alternating Current Resistances of Short Coils

TL;DR: In this article, it is shown that a considerable proportion of the effective resistance of inductive coils when used at radio frequencies is caused by the eddy-currents set up in the wires of the coils by the alternating magnetic field in which they are situated, and that in extreme cases the alternating current resistance may amount to more than one hundred times the direct current resistance.
Journal ArticleDOI

Heat Losses in the Conductors of Alternating-Current Machines

TL;DR: In this article, the authors show how hyperbolic functions of complex angles may be applied to the solution of the problem of heat losses in rectangular conductors that are embedded in open slots.
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