Journal Article10.1049/PIEE.1966.0236
Effects of eddy currents in transformer windings
P.L. Dowell
- 01 Aug 1966
- Vol. 113, Iss: 8, pp 1387-1394
1.4K
TL;DR: 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.
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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
Skin and proximity effects in multi-layer transformer windings of finite thickness
K.W. Klontz
- 08 Oct 1995
TL;DR: In this article, the relationship between solenoidal and coaxial windings, the key analytic expressions for both winding types, normalized AC resistance curves with and without accounting for curvature and the effects of winding layers are presented.
6
Estimation of the winding losses of Medium Frequency Transformers with Litz wire using an equivalent permeability and conductivity method
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Optimum Design of High Frequency Transformer Based on Winding Spacing
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TL;DR: In this article, the analytical expression of leakage inductance with respect to winding spacing by magnetic field partitioning method, and constructs a mathematical model about the weight of series resonant inductor, the minimum weight is set as the optimization target, the transformer efficiency as constraints.
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References
Effective resistance to alternating currents of multilayer windings
Edward Bennett,Sidney C. Larson +1 more
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.
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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.
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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.
54
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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