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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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Journal ArticleDOI

Quasi-Static Modeling and Optimization of Two-Layer PCB Resonators in Wireless Power Transfer Systems for 110-kV Power Grid Online Monitoring Equipment

TL;DR: In this paper , a closed-form quasi-static model of the PCB resonators is derived and a fully automated simulation-driven optimization framework is constructed to enhance the quality factor of the resonator.

Multi-level contactless motion system

TL;DR: In this article, the authors present the theory and technology necessary to describe and build a multi-level contactless motion system consisting of three subsystems and model their interaction within this global system, i.e., six DOF contactless planar actuator with moving magnets with a long stroke movement in the x-y plane, contactless power transfer to the moving platform and wireless real-time communication between the ground controller and the plant processes on the platform.
Journal ArticleDOI

The Faraday Shields Loss of Transformers

TL;DR: In this article, an analytical procedure is presented for the magnetically-induced loss in Faraday shields, and a case study is provided to verify the shield design procedure on a 100-kHz transformer.
Proceedings ArticleDOI

Survey and Comparison of 1D/2D analytical Models of HF Losses in Litz Wire

TL;DR: A comprehensive comparison of four loss models with respect to general mathematical approach, computational effort, as well as the impact of different parameters on the accuracy of the different models is presented.
Proceedings ArticleDOI

Semi-numerical method for loss-calculation in foil-windings exposed to an air-gap field

TL;DR: In this article, a semi-numerical method based on the mirroring method is proposed to calculate the current losses in foil windings exposed to a 2D fringing field.
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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