Calculation of self and mutual impedances in planar magnetic structures

Hurley, W.G.; Duffy, Maeve

doi:10.1109/20.390151

Cited by 224 publications

(115 citation statements)

References 5 publications

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“…We have found that the most accurate prediction for this application is that of [31]. The formula for mutual inductance of circular traces is:…”

Section: Filters With Inductance Cancellation Using Printed Circuit Bmentioning

confidence: 99%

Advanced Filters and Components for Power Applications

Neugebauer¹,

Pierquet²,

Perreault³

2006

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The objective of this thesis is to improve the high frequency performance of components and filters by better compensating the parasitic effects of practical components. The main application for this improvement is in design of low pass filters for power electronics, although some other applications will be presented.In switching power supplies the input and output filters must attenuate frequencies related to the fundamental switching frequency of the converter. The filters represent a major contribution to the weight, volume and price of the power supply. Therefore, aspects of the design of the switching power converter, especially those related to the switching frequency, are limited by the high frequency performance of the filters. The usual methods of improving the high frequency performance of the filter includes using larger, better components. Filter performance can improve by using higher quality inductors and capacitors or by adding high frequency capacitors in parallel with the filter capacitor. Also, an additional filter stage can be added. All of these methods add significant cost to the design of the power supply.If the effect of high-frequency parasitic elements in the components can be reduced (at a low cost) the performance of the filter can be enhanced. This allows the development of filters with much better high frequency attenuation, or the reduction of filter size and cost at a constant performance level. In filtering and other applications, the ability to reduce the effect of parasitic elements will be a technique that will enable many high-frequency designs.Specifically, this thesis will present two techniques that can be used to reduce the effects of parasitic inductance and capacitance. One technique, called inductance cancellation, is used to reduce the amount of parasitic inductance in a path of interest. The other technique, capacitance cancellation, will reduce the effect of a parasitic capacitance in an inductor. The techniques introduced here cannot be used to improve performance of passive components in all applications. These techniques, though, do provide major improvements in most filtering applications, an application in which parasitic components play an important role in the design.

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“…We have found that the most accurate prediction for this application is that of [31]. The formula for mutual inductance of circular traces is:…”

Section: Filters With Inductance Cancellation Using Printed Circuit Bmentioning

confidence: 99%

Advanced Filters and Components for Power Applications

Neugebauer¹,

Pierquet²,

Perreault³

2006

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show abstract

“…For "almost-planar" problems, experimental experience suggest that (10) is an acceptable approximation [1], [3], [28]. Since the majority of multilayer problems have relatively flat geometries, the method presented within this paper was developed with (10) built in as an assumption.…”

Section: B Integral Equation Formulationmentioning

confidence: 99%

“…3, let the open domain of free-space containing the conductors be denoted as Ω 0 ⊂ R 3 , and consider solving for thexx component of G in (1). This yields Laplace's equation:…”

Section: A Quasistatic Added Green's Functionmentioning

confidence: 99%

“…For simple conductor geometries, evaluation of the electric field via (7) can sometimes be performed in closed form [1], [3], [28]. For more complicated geometries, the current density, J exc , is first discretized into the sum of n basis functions, as in:…”

Section: Field Evaluation Via Conductor Discretizationmentioning

confidence: 99%

“…To minimize losses, the coil is often wound using some form of twisted, stranded or litz wire conductor pattern. Devices constructed in this way are common, and are found in applications such as planar monolithic inductors and transformers [1]- [3] and inductive power transfer systems [4]. Induction heating coils can also be viewed in this manner, and in these cases the multilayer structure is a lossy-magnetic material that also serves as the load [5].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Fast Simulation of Complicated 3-D Structures Above Lossy Magnetic Media

2014

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A fast numerical method is presented for the simulation of complicated 3D structures, such as inductors constructed from litz or stranded wires, above or sandwiched between planar lossy magnetic media. Basing upon its smoothness, the quasistatic multilayer Green's function is numerically computed using finite differences, and its source height dependence is computed using an optimal Toeplitz-plus-Hankel decomposition. We show that a modified precorrected FFT method can be applied to reduce the dense linear algebra problem to near-linear time, and that frequency-dependent setups can be avoided to result in a considerable speed-up. Experimental verifications are made for a 16-strand litz wire coil, realistically modeled down to each individual strand. Results are obtained in 2-3 hours, showing an excellent agreement to measurements, and can be used to study the impact of transposition patterns in litz wire construction.

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Inductance

2013

Transformers and Inductors for Power Electronics

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Calculation of self and mutual impedances in planar magnetic structures

Cited by 224 publications

References 5 publications

Advanced Filters and Components for Power Applications

Advanced Filters and Components for Power Applications

Fast Simulation of Complicated 3-D Structures Above Lossy Magnetic Media

Inductance

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