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Journal ArticleDOI

Computationally efficient winding loss calculation with multiple windings, arbitrary waveforms, and two-dimensional or three-dimensional field geometry

Charles R. Sullivan
- 01 Jan 2001 - 
- Vol. 16, Iss: 1, pp 142-150
TLDR
The squared-field-derivative method for calculating eddy-current (proximity effect) losses in round-wire or litz-wire transformer and inductor windings is derived in this paper.
Abstract
The squared-field-derivative method for calculating eddy-current (proximity-effect) losses in round-wire or litz-wire transformer and inductor windings is derived. The method is capable of analyzing losses due to two-dimensional and three-dimensional field effects in multiple windings with arbitrary waveforms in each winding. It uses a simple set of numerical magnetostatic field calculations, which require orders of magnitude less computation time than numerical eddy-current solutions, to derive a frequency-independent matrix describing the transformer or inductor. This is combined with a second, independently calculated matrix, based on derivatives of winding currents, to compute total AC loss. Experiments confirm the accuracy of the method.

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Citations
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Wireless charging-some key elements

TL;DR: It is found that less sensitivity towards displacements can be achieved if the coils of the receiving coil are placed next to each other, and the accuracy of the FEM model is especially important for the calculation of the resistance at high frequencies.

Finite element analysis of eddy current losses in pulse transformer

TL;DR: In this article, an algorithm for power loss determination in pulse transformers using a field-circuit model is described and the software based on the algorithm is used to calculate eddy current losses and determine efficiency of a pulse transformer.
Dissertation

Methodologies for Design-Oriented Electromagnetic Modeling of Planar Passive Power Processors

Anish Prasai
TL;DR: In this paper, a set of reduced-order modeling methodologies is presented in order to predict the high-frequency behavior of inductors and transformers in planar, foil windings and cores.
Journal ArticleDOI

Implementing a simple vectorial bridge with a digital oscilloscope

TL;DR: In this paper, the authors exploit instrumentation available in undergraduate student laboratories to build a simple vectorial bridge, which is used to characterize components of a high-Q RLC filter.
Journal ArticleDOI

Analytical Winding Power Loss Calculation in Gapped Magnetic Components

TL;DR: A general two-dimensional equivalent method, which aims to consider the frequency effects in conductors in a simplified manner, is proposed afterward and can be integrated into design and optimization tools in order to evaluate the influence of the air gap over the winding loss even at the early stages of the design process.
References
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Book

Static and dynamic electricity

W. R. Smythe
Journal ArticleDOI

Effects of eddy currents in transformer windings

P.L. Dowell
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.
Journal ArticleDOI

Optimal choice for number of strands in a litz-wire transformer winding

TL;DR: In this paper, the number and diameter of strands to minimize loss in a litz-wire transformer winding is determined, and a power law to model insulation thickness is combined with standard analysis of proximity effect losses to find the optimal stranding.
Journal ArticleDOI

Improved analytical modeling of conductive losses in magnetic components

TL;DR: In this paper, the authors propose an orthogonality between skin effect and proximity effect to calculate the AC resistance of round conductor windings, which gives more accurate answers than the basic one-dimensional method because the exact analytical equations for round conductors can be used.
Journal ArticleDOI

Optimizing the AC resistance of multilayer transformer windings with arbitrary current waveforms

TL;DR: In this article, the authors present a new formula for the optimum foil or layer thickness, without the need for Fourier coefficients and calculations at harmonic frequencies, which is simple, straightforward and applies to any periodic wave shape.
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