Design of Planar Rectangular Microelectronic Inductors

Greenhouse, Harold M.

doi:10.1109/tphp.1974.1134841

Cited by 886 publications

(374 citation statements)

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“…The inductance value of the spiral inductors at the HF range can be determined using the quasi-static method proposed by Greenhouse [14] with a good level of accuracy.…”

Section: Design Equationsmentioning

confidence: 99%

“…The method in [14] takes into account of self coupling, and mutual coupling between each trace. The layout of the two conductors that is used in the inductance calculation is illustrated in Fig.…”

Section: Design Equationsmentioning

confidence: 99%

“…Nano-spiral inductor design for low power digital spintronic circuits is presented in [13]. The inductance of the spiral inductor is calculated using Greenhouse-based formulation is given in [14][15][16]. Other methods such as empirical formulation in calculation of the inductance of the spirals are outlined in [17].…”

Section: Introductionmentioning

confidence: 99%

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Planar Inductor Design for High Power Applications

Eroğlu

2011

PIER B

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Abstract-Design, simulation, and implementation of low profile microstrip spiral inductors for high power Industrial, Scientific and Medical (ISM) applications at the high frequency (HF-3-30 MHz) range are given for the first time. An accurate analytical model and algorithm have been developed to determine the simplified lumped element equivalent model parameters for spiral inductor and its physical dimensions. Five different spiral inductors are then simulated with a planar electromagnetic simulator using the physical dimensions obtained for the desired inductance values with the analytical method. The implementation method and substrate selection for spiral inductors at the HF range are given in detail for high power applications. The spiral inductors are then constructed on 100 mil Alumina substrate and measured with network analyzer. It is found that analytical, simulation and measurement results are in close agreement and the analytical method and algorithm that have been developed can be used to accurately determine the physical dimensions, and the resonant frequency of the spiral inductor for the desired inductance value.

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“…The inductance value of the spiral inductors at the HF range can be determined using the quasi-static method proposed by Greenhouse [14] with a good level of accuracy.…”

Section: Design Equationsmentioning

confidence: 99%

Section: Design Equationsmentioning

confidence: 99%

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Planar Inductor Design for High Power Applications

Eroğlu

2011

PIER B

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“…In this subsection, we want to determine the precision one can expect in calculating total inductance by means of equations (55) -(57) and (7). Due to its approximate character, the precision of equation (7) will suffer the more the smaller the ratio / .…”

Section: Validationmentioning

confidence: 99%

“…external plus internal) partial inductance of a single straight conductor, valid for any cross-sectional shape, and for the mutual inductance between two parallel conductors. From these expressions, analytical results for the total inductance of loop circuits composed of many straight conductors can simply be assembled by means of linear combination [7]. Since the result is an analytical expression, the computational effort is minimal.…”

Section: Introductionmentioning

confidence: 99%

The GMD Method for Inductance Calculation Applied to Conductors with Skin Effect

Aebischer¹,

Aebischer

2017

AEM

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The GMD method (geometric mean distance) to calculate inductance offers undoubted advantages over other methods. But so far it seemed to be limited to the case where the current is uniformly distributed over the cross section of the conductor, i.e. to DC (direct current). In this paper, the definition of the GMD is extended to include cases of nonuniform distribution observed at higher frequencies as the result of skin effect. An exact relation between the GMD and the internal inductance per unit length for infinitely long conductors of circularly symmetric cross section is derived. It enables much simpler derivations of Maxwell's analytical expressions for the GMD of circular and annular disks than were known before. Its salient application, however, is the derivation of exact expressions for the GMD of infinitely long round wires and tubular conductors with skin effect. These expressions are then used to verify the consistency of the extended definition of the GMD. Further, approximate formulae for the GMD of round wires with skin effect based on elementary functions are discussed. Total inductances calculated with the help of the derived formulae for the GMD with and without skin effect are compared to measurement results from the literature. For conductors of square cross section, an analytical approximation for the GMD with skin effect based on elementary functions is presented. It is shown that it allows to calculate the total inductance of such conductors for frequencies from DC up to 25 GHz to a precision of better than 1 %.

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Micromachined Antennas

2002

RF MEMS and Their Applications

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Printed and bound in Great Britain by Biddles Ltd, Guildford and King's Lynn This book is printed on acid-free paper responsibly manufactured from sustainable forestry in which at least two trees are planted for each one used for paper production.xii PREFACE fabrication technologies can help realize high Q micromechanical filters for frequencies up to and beyond 10 MHz, and micromachined surface acoustic wave (SAW) filters filling the gap up to 2 GHz. Fabrication processes for all these devices and their relative advantages are taken up extensively in this book. In addition, a brief description of packaging approaches that may be extended for these devices is also included for the sake of comprehensiveness in coverage.We have endeavoured to present these topics so as to guide graduate students interested to do research in microfabrication techniques and their applications. It is therefore envisaged that parts of this books would form the curricula of electrical and mechanical engineering, applied physics or materials science departments. In addition, this would also serve as a reference book for practicing researchers in these areas for further widening the scope of their research.Materials for this book have been taken from an advanced level course offered at Pennsylvania State University recently on RF MEMS, and many short courses presented across the world. Valuable comments from the participants of these courses have helped in evolving the contents of this book and are greatly appreciated. In particular we also wish to thank many of our colleagues and students, Taeksoo Ji, Yanan Sha, Roopa Tellakula, Hargsoon Yoon, and Bei Zhu, at the Center for Electronic and Acoustic Materials and Devices for their contributions in preparing the manuscript for this book.We would like to thank Professors Vasundara V. Varadan and Richard McNitt for their support and encouragement. Our thanks are also due to our families, in particular Nisy John, for bearing with our preoccupation in preparing this manuscript. We are also indebted to various researchers for their valuable contributions cited in this book.We are also grateful to the publisher's staff for their support, encouragement and willingness to give prompt assistance during this book project.

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Design of Planar Rectangular Microelectronic Inductors

Cited by 886 publications

References 3 publications

Planar Inductor Design for High Power Applications

Planar Inductor Design for High Power Applications

The GMD Method for Inductance Calculation Applied to Conductors with Skin Effect

Micromachined Antennas

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