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Journal articles on the topic 'Planar transformers'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Shen, Zhan, Bingxin Xu, Chenglei Liu, et al. "The Modeling and Simplification of a Thermal Model of a Planar Transformer Based on Internal Power Loss." Sustainability 14, no. 19 (2022): 11915. http://dx.doi.org/10.3390/su141911915.

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With the development of high-performance wide-band-gap devices and increasing converter frequency, planar transformers are widely used in high-frequency and high-power-density power conversions. Due to the skin effect and proximity effect, accurate thermal analysis and a simplified thermal model of planar transformers are needed for quick thermal verification as well as system design. This paper proposes two thermal simplification models based on the planar transformer’s thermal impedance network. The internal power loss and thermal coupling between each component are first analyzed. Then, bas

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2

Tan, Chang, Jianxun Hong, Zihao Wu, Qiuyuan Huang, and Cheng Wang. "Parasitic Parameter Prediction for Planar Transformers Based on Neural Network." Journal of Physics: Conference Series 2584, no. 1 (2023): 012083. http://dx.doi.org/10.1088/1742-6596/2584/1/012083.

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Abstract Parasitic parameters such as leakage inductance and distributed capacitance of planar transformers have a direct impact on the performance and efficiency of transformers. Traditional methods for parasitic parameter prediction are commonly based on empirical formulas or simulation software, but they have problems of high computational complexity, time-consuming and low accuracy. In this paper, a method for predicting parasitic parameters of planar transformers based on a multilayer perceptron (MLP) under a specific winding structure is proposed, which can improve the efficiency of tran

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3

Son, Won-Jin, and Byoung Kuk Lee. "Design of Planar Transformers for LLC Converters in High Power Density On-Board Chargers for Electric Vehicles." Energies 16, no. 18 (2023): 6757. http://dx.doi.org/10.3390/en16186757.

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This article presents a planar transformer design and optimization method for high power density on-board chargers (OBCs) utilized in electric vehicles (EVs). Owing to considerations of electrical safety, OBCs require an isolated converter, leading to a substantial increase in volume due to the inclusion of a transformer. To address this issue and achieve high power density, a planar transformer is used, and an optimized design method is proposed for pattern arrangement, width, and core shape. The feasibility of the design is verified through the development of a 3.3 kW OBC prototype. Conseque

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4

V., Bharatidevi. "Applications of Transformers in Electronics: Advancements and Innovations." Recent Trends in Thermodynamics and Thermal Energy System 1, no. 1 (2025): 1–4. https://doi.org/10.5281/zenodo.14849668.

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<em>Transformers play a pivotal role in modern electronics, facilitating efficient power distribution, signal processing, and voltage regulation across various applications. This paper explores the diverse applications of transformers in electronics, including power supply design, impedance matching, isolation, and noise reduction. Special emphasis is given to recent advancements in high-frequency transformers, planar transformers, and AI-driven optimization of transformer performance. The study also discusses the role of transformers in emerging technologies such as renewable energy systems,

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5

Zhao, Bin, and Gang Wang. "Equivalent Circuit of a Planar Transformer Used for TWTA." Applied Mechanics and Materials 644-650 (September 2014): 3564–67. http://dx.doi.org/10.4028/www.scientific.net/amm.644-650.3564.

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In this paper, application of planar transformers in TWTA (Travelling-wave Tube Amplifier) is investigated and a method of equivalent circuit is used to study performance of planar transformers. The lumped parameters of planar transformers are extracted by FEM (Finite Element Method).

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6

Dezuari, O., S. E. Gilbert, E. Belloy, and M. A. M. Gijs. "High inductance planar transformers." Sensors and Actuators A: Physical 81, no. 1-3 (2000): 355–58. http://dx.doi.org/10.1016/s0924-4247(99)00110-7.

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7

Benamer, Kahina, Azzedine Hamid, Eugenia Rossi di Schio, Abderrahim Mokhefi, Rabia Melati, and Paolo Valdiserri. "Magnetic and Thermal Behavior of a Planar Toroidal Transformer." Energies 17, no. 11 (2024): 2454. http://dx.doi.org/10.3390/en17112454.

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This paper presents a study on the magnetic and thermal behaviors of a planar toroidal transformer, comprising two planar toroidal coils. In our configuration, the primary coil consists of twenty turns, while the secondary coil consists of ten turns. This design combines the advantages of both toroidal and planar transformers: it employs flat coils, akin to those utilized in planar transformers, while retaining a toroidal shape for its magnetic core. This combination enables leveraging the distinctive characteristics of both transformer types. This study delves into electromagnetic and thermal

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8

Morrill, M. A., V. A. Caliskan, and C. Q. Lee. "High-frequency planar power transformers." IEEE Transactions on Power Electronics 7, no. 3 (1992): 607–13. http://dx.doi.org/10.1109/63.145149.

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9

Makki, Loreine, Marc Anthony Mannah, Christophe Batard, Nicolas Ginot, and Julien Weckbrodt. "Investigating the Shielding Effect of Pulse Transformer Operation in Isolated Gate Drivers for SiC MOSFETs." Energies 14, no. 13 (2021): 3866. http://dx.doi.org/10.3390/en14133866.

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Wide-bandgap technology evolution compels the advancement of efficient pulse-width gate-driver devices. Integrated enhanced gate-driver planar transformers are a source of electromagnetic disturbances due to inter-winding capacitances, which serve as a route to common-mode(CM) currents. This paper will simulate, via ANSYS Q3D Extractor, the unforeseen parasitic effects of a pulse planar transformer integrated in a SiC MOSFET gate-driver card. Moreover, the pulse transformer will be ameliorated by adding distinctive shielding layers aiming to suppress CM noise effects and endure high dv/dt occu

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10

Nguyen, Minh-Quan, Khuong-Duy Le, Quang-Huy Nguyen, and Dinh Nguyen Duy. "Investigate model and reduction technique of common-mode noise for LLC resonant converter." Journal of Measurement, Control, and Automation 29, no. 1 (2025): 12–18. https://doi.org/10.64032/mca.v29i1.255.

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Switch Mode Power Supplies (SMPS) are extensively employed in fields such as telecommunications, information technology, and electric vehicles, where energy efficiency is increasingly demanded. Modern SMPS designs prioritize compact size, high power density, and optimal efficiency to meet these requirements. The LLC resonant topology, commonly utilized in the DC/DC conversion stage with planar transformers, enables operation at high frequencies (hundreds of kHz) and facilitates soft switching across the full load range. However, a significant drawback of this topology is electromagnetic interf

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11

Górecki, Krzysztof, Kalina Detka, and Krzysztof Górski. "Compact Thermal Model of the Pulse Transformer Taking into Account Nonlinearity of Heat Transfer." Energies 13, no. 11 (2020): 2766. http://dx.doi.org/10.3390/en13112766.

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This paper presents a compact nonlinear thermal model of pulse transformers. The proposed model takes into account differentiation in values of the temperatures of a ferromagnetic core and each winding. The model is formulated in the form of an electric network realising electrothermal analogy. It consists of current sources representing power dissipated in the core and in each of the windings, capacitors representing thermal capacitances and controlled current sources modelling the influence of dissipated power on the thermal resistances in the proposed model. Both self-heating phenomena in e

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12

Costa, Eduard Montgomery Meira. "PLANAR TRANSFORMERS EXCITED BY SQUARE WAVES." Progress In Electromagnetics Research 100 (2010): 55–68. http://dx.doi.org/10.2528/pier09110103.

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13

Oshiro, O., H. Tsujimoto, and K. Shirae. "Structures and characteristics of planar transformers." Journal of the Magnetics Society of Japan 12, no. 2 (1988): 385–88. http://dx.doi.org/10.3379/jmsjmag.12.385.

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14

Oshiro, O., H. Tsujimoto, and K. Shirae. "Structures and Characteristics of Planar Transformers." IEEE Translation Journal on Magnetics in Japan 4, no. 5 (1989): 332–38. http://dx.doi.org/10.1109/tjmj.1989.4564431.

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15

GÓRSKI, Krzysztof. "Modelling thermal properties of planar transformers." PRZEGLĄD ELEKTROTECHNICZNY 1, no. 2 (2017): 208–11. http://dx.doi.org/10.15199/48.2017.02.45.

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16

Oshiro, O., H. Tsujimoto, and K. Shirae. "Structures and Characteristics of Planar Transformers." IEEE Translation Journal on Magnetics in Japan 3, no. 7 (1988): 543–44. http://dx.doi.org/10.1109/tjmj.1988.4563783.

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17

Yunas, Jumril, and Yeop Majlis Burhanuddin. "Microfabrication of Sandwich Micro-Transformers." Advanced Materials Research 314-316 (August 2011): 1836–40. http://dx.doi.org/10.4028/www.scientific.net/amr.314-316.1836.

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A new planar micro-transformer having sandwich spiral coil structure is fabricated using MEMS micro-fabrication technique. Stack interwinding coil is designed to achieve high coupling and higher winding number at relatively small coil area. In this work, stack sandwich interwinding coil structure is fabricated by bonding the substrates of the coil at connection pads using conductive epoxy material. This method replaces the use of conventional via connections that cause the most problem of current conductance in planar structures. The inductance of fabricated coil are measured at wide range of

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18

Ribas, R. P., J. Lescot, J. L. Leclercq, J. M. Karam, and F. Ndagijimana. "Micromachined microwave planar spiral inductors and transformers." IEEE Transactions on Microwave Theory and Techniques 48, no. 8 (2000): 1326–35. http://dx.doi.org/10.1109/22.859477.

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19

Karmakar, Nemai Chandra, and Rita Lim Li Ling. "Compact planar bandpass filter using multisection transformers." Microwave and Optical Technology Letters 43, no. 5 (2004): 435–37. http://dx.doi.org/10.1002/mop.20494.

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20

Stavynskyi, A. A., O. A. Avdeeva, D. L. Koshkin, R. A. Stavynskyi, and O. M. Tsyganov. "Technical solutions to reduce losses in magnetic cores and material consumption of three-phase transformer and reactor equipment." Electrical Engineering & Electromechanics, no. 2 (February 24, 2024): 3–9. http://dx.doi.org/10.20998/2074-272x.2024.2.01.

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Purpose. The increase in energy costs and the need for further energy saving lead to an increase in requirements for reducing losses in the magnetic cores of transformers and reactors. Problem. The improvement of transformer and reactor equipment is traditionally carried out by applying the achievements of electrical materials science and new technologies to traditional designs and structures of electromagnetic systems. The basis of modern transformers is made up of laminated and twisted magnetic cores. The disadvantage of laminated magnetic cores is large additional losses in corner zones due

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21

A., A. Stavinskiy, and M. Tsyganov A. "DESIGN AND TECHNOLOGICAL PROPOSALS FOR IMPROVING A SINGLE-PHASE TRANSFORMER WITH LAMINATED MAGNETIC CORE." Electrical engineering & electromechanics, no. 6 (December 17, 2020): 11–17. https://doi.org/10.20998/2074-272X.2020.6.02.

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<strong><em>Goal.</em></strong> <em>The purpose of the work is to analyze the features and substantiate the advantages of the spatial radial electromagnetic system of a single-phase transformer with rectangular sections of the rods of a charged magnetic circuit. <strong>Methodology.</strong> Improvement of single-phase transformers is possible by structural-geometric transformations of active elements. The justification of the advantages of such transformations is achieved by the method of invariant objective functions with dimensionless optimization components and universal rel

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22

Stavynskyi, A. A., O. A. Avdeeva, D. L. Koshkin, R. A. Stavynskyi, and O. M. Tsyganov. "Technical solutions to reduce losses in magnetic cores and material consumption of three-phase transformer and reactor equipment." Electrical Engineering and Electromechanics 2024, no. 2 (2024): 3–9. https://doi.org/10.20998/2074-272X.2024.2.01.

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<strong><em>Purpose.</em></strong><em> The increase in energy costs and the need for further energy saving lead to an increase in requirements for reducing losses in the magnetic cores of transformers and reactors. <strong>Problem.</strong> The improvement of transformer and reactor equipment is traditionally carried out by applying the achievements of electrical materials science and new technologies to traditional designs and structures of electromagnetic systems. The basis of modern transformers is made up of laminated and twisted magnetic cores. The disadvantage of laminated

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23

Li, Min, Wei Yao, Xin Gao, and Cong Liu. "Analysis of magnetic field characteristics and no-load losses of three-dimensional wound core transformer." Journal of Physics: Conference Series 2503, no. 1 (2023): 012073. http://dx.doi.org/10.1088/1742-6596/2503/1/012073.

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Abstract Three-dimensionally wound core transformers (TWCTs) are widely used because of their low iron loss. This paper investigates the triangularly arranged TWCT core structure and a conventional planar laminated core transformer’s flat “E” core structure (PLCT). First, the magnetic field structures of the two transformers are analyzed using the equivalent magnetic circuit method to study the symmetry of the three-phase reluctance. Then, using the finite element method, a three-dimensional simulation model was built to analyze the no-load performance of TWCT and PLCT with the same dimensiona

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24

Saket, Mohammad Ali, Navid Shafiei, and Martin Ordonez. "LLC Converters With Planar Transformers: Issues and Mitigation." IEEE Transactions on Power Electronics 32, no. 6 (2017): 4524–42. http://dx.doi.org/10.1109/tpel.2016.2602360.

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25

Roesler, Alexander W., Joshua M. Schare, S. Jill Glass, et al. "Planar LTCC Transformers for High-Voltage Flyback Converters." IEEE Transactions on Components and Packaging Technologies 33, no. 2 (2010): 359–72. http://dx.doi.org/10.1109/tcapt.2009.2031872.

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26

Hawes, B., D. Cussans, C. Damerell, et al. "Planar transformers for column parallel CCD clock drive." Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment 609, no. 2-3 (2009): 122–28. http://dx.doi.org/10.1016/j.nima.2009.07.103.

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27

Ke, You Gang, Fu Gui Yang, and Liang Qiao. "Wave Shape Transformers Based on Transformation Medium Slabs." Advanced Materials Research 712-715 (June 2013): 1811–15. http://dx.doi.org/10.4028/www.scientific.net/amr.712-715.1811.

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We propose wave shape transformers using slab transformation media which can transform planar wave shapes to convex or concave ones. By finite embedded coordinate transformations, a transformation is established from a parabola to a plane and the constitutive parameters of slabs are obtained. Numerical simulations are given to validate the performance of the theoretical design. Using such transformers, Gaussian beam collimation and focusing can be realized.

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28

La Ganga, Alessandro, Roberto Re, and Paolo Guglielmi. "Input Parallel Output Series Structure of Planar Medium Frequency Transformers for 200 kW Power Converter: Model and Parameters Evaluation." Energies 14, no. 5 (2021): 1450. http://dx.doi.org/10.3390/en14051450.

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Nowadays, the demand for high power converters for DC applications, such as renewable sources or ultra-fast chargers for electric vehicles, is constantly growing. Galvanic isolation is mandatory in most of these applications. In this context, the Solid State Transformer (SST) converter plays a fundamental role. The adoption of the Medium Frequency Transformers (MFT) guarantees galvanic isolation in addition to high performance in reduced size. In the present paper, a multi MFT structure is proposed as a solution to improve the power density and the modularity of the system. Starting from 20kW

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29

Thomy, Simon, Xavier Margueron, Jean-Sylvio Ngoua Teu Magambo, Reda Bakri, and Philippe Le Moigne. "Conception of High-Frequency Power Planar Transformer Prototypes Based on FabLab Platform." Electricity 3, no. 1 (2021): 1–15. http://dx.doi.org/10.3390/electricity3010001.

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Conceiving planar magnetic components for power electronic converters is very constraining, especially in the case of prototype development. Indeed, such making requires skills, specific appliances as well as human time for setting up the machine tools and the fabrication process. With the emergence of Fabrication Laboratory (FabLab), conceiving of planar copper foil prototypes becomes more feasible in a shortened time process for engineers and researchers. This paper presents a methodology and process for conceiving power planar transformers with the help of machines and tools that can be fou

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30

Petrescu, Lucian-Gabriel, Maria-Catalina Petrescu, Emil Cazacu, and Catalin-Daniel Constantinescu. "Estimation of Energy Losses in Nanocrystalline FINEMET Alloys Working at High Frequency." Materials 14, no. 24 (2021): 7745. http://dx.doi.org/10.3390/ma14247745.

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Soft magnetic materials are at the core of electromagnetic devices. Planar transformers are essential pieces of equipment working at high frequency. Usually, their magnetic core is made of various types of ferrites or iron-based alloys. An upcoming alternative might be the replacement the ferrites with FINEMET-type alloys, of nominal composition of Fe73.5Si13.5B9Cu3Nb1 (at. %). FINEMET is a nanocrystalline material exhibiting excellent magnetic properties at high frequencies, a soft magnetic alloy that has been in the focus of interest in the last years thanks to its high saturation magnetizat

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31

Hofsajer, I. W., K. Fricker, and M. O. Crosato. "Reduction of EMI in planar transformers by charge balancing." Electronics Letters 38, no. 25 (2002): 1712. http://dx.doi.org/10.1049/el:20021159.

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32

Cornwell, A. R. "The Characterisation of High Frequency Planar Thick‐film Transformers." Microelectronics International 12, no. 1 (1995): 25–26. http://dx.doi.org/10.1108/eb044553.

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33

Aime, Jérémie, Bruno Cogitore, Gérard Meunier, Edith Clavel, and Yves Marechal. "Numerical Methods for Eddy Currents Modeling of Planar Transformers." IEEE Transactions on Magnetics 47, no. 5 (2011): 1014–17. http://dx.doi.org/10.1109/tmag.2010.2091398.

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34

Zhao, Yanhang, Jingang Wang, Shoupeng Ban, Xueqi Hu, and Diancheng Si. "Design and theoretical analysis of current transformer based on B-dot planar printed circuit board coil." Sensor Review 37, no. 3 (2017): 282–88. http://dx.doi.org/10.1108/sr-12-2016-0264.

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Purpose The purpose of this paper is to design a current transformer model based on the principle of B-dot. It can reflect the change of transmission line current and meet the requirement of automation and intelligence for current measurement in power system. Design/methodology/approach In this paper, a new type of current transformer is designed on the principle of B-dot, which has the structure of the inverse series of planar air core coils and the form of printed circuit board (PCB). With this structure, the current transformers can induce magnetic field quite well. The finite element simul

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35

Бобылкин, И. С., А. А. Кузёмкин, Е. М. Ивашкина та А. М. Безрукавый. "ИССЛЕДОВАНИЕ ВЛИЯНИЯ КОМПАУНДОВ НА ХАРАКТЕРИСТИКИ ПЛАНАРНОГО ТРАНСФОРМАТОРА В МОДУЛЕ ЭЛЕКТРОПИТАНИЯ". ВЕСТНИК ВОРОНЕЖСКОГО ГОСУДАРСТВЕННОГО ТЕХНИЧЕСКОГО УНИВЕРСИТЕТА 20, № 4 (2025): 94–98. https://doi.org/10.36622/1729-6501.2024.20.4.013.

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в современном мире электроники и электротехники всё большее значение приобретают компактные и эффективные решения для систем электропитания. Планарные трансформаторы, благодаря своей плоской конструкции, представляют собой перспективное направление для уменьшения размеров и веса модулей электропитания. Однако их изготовление требует особого внимания к выбору и использованию компаундов, которые играют ключевую роль в обеспечении надёжности, безопасности и эффективности работы трансформаторов. Компаунды выполняют несколько важных функций: герметизация, электроизоляция, взрывозащита и влияние на

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Hassan, Mohamed I., Niloufar Keshmiri, Alan Dorneles Callegaro, Mario F. Cruz, Mehdi Narimani, and Ali Emadi. "Design Optimization Methodology for Planar Transformers for More Electric Aircraft." IEEE Open Journal of the Industrial Electronics Society 2 (2021): 568–83. http://dx.doi.org/10.1109/ojies.2021.3124732.

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37

Ammouri, Aymen, Tarek Ben Salah, and Ferid Kourda. "PCB-planar transformers equivalent circuit model identification using genetic algorithm." International Journal of Modelling, Identification and Control 29, no. 4 (2018): 295. http://dx.doi.org/10.1504/ijmic.2018.092116.

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Kourda, Ferid, Aymen Ammouri, and Tarek Ben Salah. "PCB-planar transformers equivalent circuit model identification using genetic algorithm." International Journal of Modelling, Identification and Control 29, no. 4 (2018): 295. http://dx.doi.org/10.1504/ijmic.2018.10013130.

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Chan, P. C. F., C. K. Lee, and S. Y. R. Hui. "Stray capacitance calculation of coreless planar transformers including fringing effects." Electronics Letters 43, no. 23 (2007): 1308. http://dx.doi.org/10.1049/el:20072513.

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Ouyang, Ziwei, William Gerard Hurley, and Michael A. E. Andersen. "Improved Analysis and Modeling of Leakage Inductance for Planar Transformers." IEEE Journal of Emerging and Selected Topics in Power Electronics 7, no. 4 (2019): 2225–31. http://dx.doi.org/10.1109/jestpe.2018.2871968.

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41

Post, John E. "Analysis and Design of Planar, Spiral-Shaped, Transmission-Line Transformers." IEEE Transactions on Advanced Packaging 30, no. 1 (2007): 104–14. http://dx.doi.org/10.1109/tadvp.2006.890208.

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42

Zhang, Jun, Ziwei Ouyang, Maeve C. Duffy, Michael A. E. Andersen, and William Gerard Hurley. "Leakage Inductance Calculation for Planar Transformers With a Magnetic Shunt." IEEE Transactions on Industry Applications 50, no. 6 (2014): 4107–12. http://dx.doi.org/10.1109/tia.2014.2322140.

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43

Saket, Mohammad Ali, Martin Ordonez, Marian Craciun, and Chris Botting. "Improving Planar Transformers for LLC Resonant Converters: Paired Layers Interleaving." IEEE Transactions on Power Electronics 34, no. 12 (2019): 11813–32. http://dx.doi.org/10.1109/tpel.2019.2903168.

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44

Tria, Lew Andrew R., Kazi Saiful Alam, Daming Zhang, and John E. Fletcher. "Comparative study of multicore planar transformers on printed circuit boards." IET Power Electronics 10, no. 12 (2017): 1452–60. http://dx.doi.org/10.1049/iet-pel.2016.0837.

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45

Lu, J. W., F. P. Dawson, and S. Yamada. "Analysis of high frequency planar sandwich transformers for switching converters." IEEE Transactions on Magnetics 31, no. 6 (1995): 4235–37. http://dx.doi.org/10.1109/20.489937.

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46

KIMSTACH, O., I. ILLIASHENKO, and A. ZHEZHELO. "MATHEMATICAL MODELING OF A THREE-PHASE TRANSFORMER TAKING INTO ACCOUNT A MAGNETIC CORE ASYMMETRY." HERALD OF KHMELNYTSKYI NATIONAL UNIVERSITY 295, no. 2 (2021): 165–71. http://dx.doi.org/10.31891/2307-5732-2021-295-2-165-171.

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The paper analyses the aspects of modelling the operation of a three-phase core-type transformer. The features of the magnetic system construction of the transformer, which generate asymmetry, are disclosed. The fundamentals and methods for modelling a transformer in dynamic modes are considered. The main purpose of the paper is to research the influence of taking into account the asymmetry of the transformer magnetic core on its dynamic model. The paper proposes the mathematical model of a three-phase planar core-type transformer, which takes into account the asymmetry of the magnetic core. T

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47

Fu, Kaining, Wei Chen, and Subin Lin. "A General Transformer Evaluation Method for Common-Mode Noise Behavior." Energies 12, no. 10 (2019): 1984. http://dx.doi.org/10.3390/en12101984.

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In isolated power converters, the transformer is a key part of voltage transformation and isolation. Since common-mode (CM) noise is rather difficult to suppress compared with different-mode (DM) noise, more and more scholars are paying attention to the characteristics of CM noise, especially in high-frequency CM noise behaviors. CM noise can be further divided into conducted CM noise and radiated CM noise, and the main focus of this paper is on conducted CM noise. The CM coupling capacitance of the transformer is one of the main contributors of CM noise, which has been verified in many previo

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48

Chen, Ming-Guang, Teng-Bang Hou, and Ching-Wen Tang. "Design of Planar Complex Impedance Transformers With the Modified Coupled Line." IEEE Transactions on Components, Packaging and Manufacturing Technology 2, no. 10 (2012): 1704–10. http://dx.doi.org/10.1109/tcpmt.2012.2207457.

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Regnima, Guy-Oscar, Amidou Betié, Thomas Koffi, et al. "Monitoring power transformers oils deterioration using structured laser illumination planar imaging." Measurement 113 (January 2018): 38–45. http://dx.doi.org/10.1016/j.measurement.2017.08.019.

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Jae Y. Park, L. K. Lagorce, and M. G. Allen. "Ferrite-based integrated planar inductors and transformers fabricated at low temperature." IEEE Transactions on Magnetics 33, no. 5 (1997): 3322–24. http://dx.doi.org/10.1109/20.617931.

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