Resonance on Transformers Excited by Square Waves and Explanation of the High Voltage on Tesla Transformer

This paper presents an analysis about resonance on coupled systems when excited by square waves, generated through experiments using planar and ring coils. Because of the phenomenon described by its transfer function, a sum of responses appear when the square wave frequency increases, which causes a resonance response with high voltage, in several cases, greater than common turn ratio of the transformer. With parallel capacitances inserted on output, the resonance frequency reduction and change of gain is observed. Due to this efiect, explanation of how output of Tesla transformer presents high voltage which is shown and strategies to reach the maximal value on output are proposed.

[1]  So-Young Kim,et al.  Closed-Form RC and RLC Delay Models Considering Input Rise Time , 2007, IEEE Transactions on Circuits and Systems I: Regular Papers.

[2]  L. H. Luthjens,et al.  Subnanosecond pulsing of a 3-MV Van de Graaff electron accelerator by means of a passive coaxial pulse shaper. , 1978, The Review of scientific instruments.

[3]  E. M. Costa RESONANCE BETWEEN PLANAR COILS VS RING COILS EXCITED BY SQUARE WAVES , 2009 .

[4]  David Blaauw,et al.  Modeling and analysis of crosstalk noise in coupled RLC interconnects , 2006, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems.

[5]  I. Psarros,et al.  RESONANCE SPLITTING IN TWO COUPLED CIRCULAR CLOSED-LOOP ARRAYS AND INVESTIGATION OF ANALOGY TO TRAVELING-WAVE OPTICAL RESONATORS , 2008 .

[6]  Marian K. Kazimierczuk,et al.  Stray capacitances of single-layer solenoid air-core inductors , 1999 .

[7]  Atef Z. Elsherbeni,et al.  COMPACT ARTIFICIAL MAGNETIC CONDUCTOR DESIGNS USING PLANAR SQUARE SPIRAL GEOMETRIES , 2007 .

[8]  J.T. Conway Noncoaxial Inductance Calculations Without the Vector Potential for Axisymmetric Coils and Planar Coils , 2008, IEEE Transactions on Magnetics.

[9]  E. M. Costa A BASIC ANALYSIS ABOUT INDUCED EMF OF PLANAR COILS TO RING COILS , 2009 .

[10]  Wilsun Xu,et al.  Application of Modal Sensitivity for Power System Harmonic Resonance Analysis , 2007, IEEE Transactions on Power Systems.

[11]  W. Ding,et al.  Efficient timing modelling of coupled inductance dominant RLC interconnects , 2009 .

[12]  W. G. Hurley,et al.  Calculation of self- and mutual impedances in planar sandwich inductors , 1997 .

[13]  A New Type of Highly Compact Planar Inductor , 2007, IEEE Transactions on Magnetics.

[14]  J. Toriu,et al.  Planar coil inductor with closed magnetic circuit. , 1991 .

[15]  B. Anicin,et al.  Circuit properties of coils , 1997 .

[16]  K.W.E. Cheng,et al.  Examination of square-wave modulated voltage dip restorer and its harmonics analysis , 2006, IEEE Transactions on Energy Conversion.

[17]  K. Shirae,et al.  A novel miniature planar inductor , 1987 .

[18]  J. Kolar,et al.  25-kW Three-Phase Unity Power Factor Buck–Boost Rectifier With Wide Input and Output Range for Pulse Load Applications , 2008, IEEE Transactions on Plasma Science.

[19]  Charge Transport by a Pulse E-Wave in a Waveguide with Conductive Medium , 2009 .

[20]  Alexei V. Popov,et al.  ELECTROMAGNETIC PULSE PROPAGATION OVER NONUNIFORM EARTH SURFACE: NUMERICAL SIMULATION , 2007 .

[21]  E. Margato,et al.  Pulse Shape Improvement in Core-Type High-Voltage Pulse Transformers With Auxiliary Windings , 2007, IEEE Transactions on Magnetics.

[22]  I. Besieris,et al.  Two Fundamental Representations of Localized Pulse Solutions To the Scalar Wave Equation - Abstract , 1998 .

[23]  F. Dawson,et al.  Analysis of Eddy Current Distribution in High Frequency Coaxial Transformer With Faraday Shield , 2006, IEEE Transactions on Magnetics.

[24]  Asok De,et al.  LOADED MICROSTRIP DISK RESONATOR EXHIBITS ULTRA-LOW FREQUENCY RESONANCE , 2005 .

[25]  H. Lord,et al.  Pulse transformers , 1971 .

[26]  S. D. Korovin,et al.  High-current nanosecond pulse-periodic electron accelerators utilizing a tesla transformer , 1996 .

[28]  K. Kawabe,et al.  Planar inductor , 1984 .

[29]  L. C. Appel,et al.  Stray capacitance of a two-layer air-cored inductor , 2005 .

[30]  Y. Wu,et al.  A COMPACT PI-STRUCTURE DUAL BAND TRANSFORMER , 2008 .

[31]  Truncation Effect on Precursor Field Structure of Pulse Propagation in Dispersive Media , 2009 .

[32]  P. D. Evans,et al.  Harmonic analysis of a high frequency square wave cycloconvertor system , 1989 .

[33]  Xun Liu,et al.  Mutual inductance calculation of movable planar coils on parallel surfaces , 2008, 2008 IEEE Power Electronics Specialists Conference.

[34]  Cevdet Akyel,et al.  New and fast procedures for calculating the mutual inductance of coaxial circular coils (circular coil-disk coil) , 2002 .

[35]  Jinjun Xiong,et al.  Extended global routing with RLC crosstalk constraints , 2005, IEEE Transactions on Very Large Scale Integration (VLSI) Systems.

[36]  Cevdet Akyel,et al.  Improvement in calculation of the self- and mutual inductance of thin-wall solenoids and disk coils , 2000 .

[37]  O. Oshiro,et al.  Structures and Characteristics of Planar Transformers , 1988, IEEE Translation Journal on Magnetics in Japan.

[38]  Peter Hall,et al.  Switched beam antenna array with parasitic elements , 2009 .

[39]  M. Adler A field-theoretical approach to magnetic induction heating of thin circular plates , 1974 .

[40]  P. I. John,et al.  Design and performance of a Tesla transformer type relativistic electron beam generator , 1986 .

[42]  David L. Brown,et al.  Subnanosecond high-voltage pulse generator , 1987 .

[43]  E. M. Costa Responses in Trasnformers Built with Planar Coils Inner Ring Coils Excited by Square Waves , 2009 .

[44]  Mohamed Lahdi Riabi,et al.  Rigorous Design and Efficient Optimizattion of Quarter-Wave Transformers in Metallic Circular Waveguides Using the Mode-Matching Method and the Genetic Algorithm , 2007 .

[45]  Ruan Jiangjun,et al.  Investigation of very fast transient overvoltage distribution in taper winding of tesla transformer , 2006 .

[46]  A. Yagasaki Highly improved performance of a noise isolation transformer by a thin-film short-circuit ring , 1999 .

[47]  Elisa Francomano,et al.  SOIL IONIZATION DUE TO HIGH PULSE TRANSIENT CURRENTS LEAKED BY EARTH ELECTRODES , 2009 .

[48]  Vincenzo Fiumara,et al.  An exact synthesis method for dual-band chebyshev impedance transformers , 2008 .