Magnetic Field Analysis of an Arbitrary Shaped Coil Using Shape Functions

Ishida, Koichi; Itaya, Toshiya; Tanaka, Akio; Takehira, Nobuo

doi:10.1109/tmag.2008.2005119

Cited by 20 publications

(17 citation statements)

References 9 publications

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“…Equations (A7)-(A12) are determined from boundary conditions. As shown in Figure 1, when an arbitrarily shaped coil, which is positioned at z = z 0 and carrying current I, the x-, y-and z-components of magnetic flux densityb i (ξ, η, z) at z < z 0 are described as follows [14] b ix = μ 0 Iξ 2η e …”

Section: Appendix Amentioning

confidence: 99%

Visualization of Eddy Current Distributions for Arbitrarily Shaped Coils Parallel to a Moving Conductor Slab

Itaya¹,

Ishida²,

Kubota³

et al. 2016

PIER M

Self Cite

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Abstract-To visualize eddy current distribution (ECD) of an arbitrarily shaped coil arranged parallel to a moving conductor slab, an exact theoretical solution is derived using an analytical method based on the double Fourier transform method. The arbitrarily shaped coil is regarded as a plane coil of a single turn, and both DC and AC excitation currents can be applied. Furthermore, ECD charts are obtained when the conductor slab is moving. We calculate some examples with respect to a circular coil, rectangular coil, and triangular coil and show the effect of coil excitation frequency and speed of the conductor on ECDs. Results show that the eddy current generated in the moving conductor slab is composed of current induced by the excitation frequency and conductor speed.

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Section: Appendix Amentioning

confidence: 99%

Visualization of Eddy Current Distributions for Arbitrarily Shaped Coils Parallel to a Moving Conductor Slab

Itaya¹,

Ishida²,

Kubota³

et al. 2016

PIER M

Self Cite

View full text Add to dashboard Cite

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“…Other authors have proposed different methods to calculate the current and power density distributions, e.g., using an impedance matrix [6], [11] or with finite element computation of the electromagnetic problem [7], [9], [19]- [21]. In this paper, this last method is used for the calculation of the power density curve induced in a C-45 steel disk with a diameter of 0.1 m, using a circular inductor with the same size in a centered position, heating with a total power of 1 W. In this case, the power distribution is symmetrical with respect to the center of the disk and constant in the azimuthal direction [ Fig.…”

Section: Theoretical Model Of Temperature Distributionmentioning

confidence: 99%

Induction Heating Appliance With a Mobile Double-Coil Inductor

Sanz

Sagüés

Llorente³

2015

IEEE Trans. on Ind. Applicat.

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An induction heating appliance designed to uniformly heat up metallic plates is studied in this paper. It consists of one planar inductor with two concentric coils attached to a mechanism, which allows moving the inductor under the plate while heating. This system is a possible solution for the growing concept of flexible induction cooking hobs, improving their performance in flexibility and in thermal distribution in the pans. With different combinations of motion and the selective activation of the inductor coils, any pan can be uniformly heated regardless its size or position on the hob. In this paper, we develop a thermal model to analyze the temperature distribution obtained in the pans for each diameter and strategy used. The model is solved using finite differences, and it is validated with experimental measurements. From the calculations, the best strategy for each pan diameter is obtained.

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“…where the power density in the region, Dp,i, is obtained from the power density distribution of the inductor, calculated in [12]- [ 14] with finite element analysis. An example of the power density distribution of an inductor with a diameter of .…”

Section: It Theoretical Analysis Of Heat Distributionmentioning

confidence: 99%

Flexible cooking zone with 2D mobile inductors in induction hobs

Sanz

Franco

Sagüés

et al. 2012

IECON 2012 - 38th Annual Conference on IEEE Industrial Electronics Society

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In this paper, we study different solutions of flexible cooking zones for induction hobs. Particularly, we focus on the usage of mobile inductors in two dimensions. The main contribution is the development of a mobile induction system which allows to heat circular pots with any size, in any position, with a homogeneous heat distribution. The good performance of this solution is tested experimentally. We present a theoretical model of the induction heating process which we use to analyze the heat distribution in a pot, and the main parameters of the problem. We also evaluate different heating strategies with a prototype with one double mobile inductor. From the obtained results, we can establish the best activation strategy of the inductor rings and the motion strategy as a function of the size of the heated pot.

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Magnetic Field Analysis of an Arbitrary Shaped Coil Using Shape Functions

Cited by 20 publications

References 9 publications

Visualization of Eddy Current Distributions for Arbitrarily Shaped Coils Parallel to a Moving Conductor Slab

Visualization of Eddy Current Distributions for Arbitrarily Shaped Coils Parallel to a Moving Conductor Slab

Induction Heating Appliance With a Mobile Double-Coil Inductor

Flexible cooking zone with 2D mobile inductors in induction hobs

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