State-Space Modeling of a Class ${\bf E}^{\bf 2}$ Converter for Inductive Links

This paper presents a state-space-based analysis of a Class E2 converter for wireless power systems based on a two-coil inductive link. The Class E2 converter consists of a 200-kHz Class E inverter as the primary coil driver and a voltage-driven Class E synchronous rectifier at the secondary coil of the inductive link. A piecewise linear seventh-order state-space model is used to calculate several parameters and values to achieve optimum switching operation of the Class E inverter and the Class E rectifier. Simulation results are presented to compare the accuracy of the state-space modeling approach with the established analytical approach. For validation of the state-space analysis, an investigation of the influence of variation of coil alignment and load for a 20-W Class E2 converter prototype system is performed by means of a novel compensation method that maintains optimum switching conditions irrespective of variations. Experimental results are presented to confirm the accuracy of the state-space modeling approach over a wide range of operational conditions and the utility of the compensation method.

[1]  M. Kazimierczuk,et al.  DC/DC converter with class E zero-voltage-switching inverter and class E zero-current-switching rectifier , 1989 .

[2]  Harada Kousuke,et al.  A circuit model for the class E resonant DC-DC converter regulated at a fixed switching frequency , 1992 .

[3]  Yanfei Liu,et al.  New class-E DC-to-DC converter topologies with constant switching frequency , 1993, Conference Record of the 1993 IEEE Industry Applications Conference Twenty-Eighth IAS Annual Meeting.

[4]  I. Boonyaroonate,et al.  Analysis and design of class E isolated DC/DC converter using class E low dv/dt PWM synchronous rectifier , 2001, 2001 IEEE 32nd Annual Power Electronics Specialists Conference (IEEE Cat. No.01CH37230).

[5]  Marian K. Kazimierczuk,et al.  Analysis and design of class-E/sup 2/ DC/DC converter , 1990 .

[6]  Hiroo Sekiya,et al.  Inductively coupled wireless power transfer with class-E2 DC-DC converter , 2013, 2013 European Conference on Circuit Theory and Design (ECCTD).

[7]  Hiroo Sekiya,et al.  Resonant DC/DC converter with class E oscillator , 2005, 2005 IEEE International Symposium on Circuits and Systems.

[8]  Anthony Grbic,et al.  A Power Link Study of Wireless Non-Radiative Power Transfer Systems Using Resonant Shielded Loops , 2012, IEEE Transactions on Circuits and Systems I: Regular Papers.

[9]  P. D. Mitcheson,et al.  Maximizing DC-to-Load Efficiency for Inductive Power Transfer , 2013, IEEE Transactions on Power Electronics.

[10]  James F. Whidborne,et al.  Tuning Class E Inverters Applied in Inductive Links Using Saturable Reactors , 2014, IEEE Transactions on Power Electronics.

[11]  D. Perreault,et al.  A very high frequency dc-dc converter based on a class Φ2 resonant inverter , 2008, 2008 IEEE Power Electronics Specialists Conference.

[12]  Tie Jun Cui,et al.  An Optimizable Circuit Structure for High-Efficiency Wireless Power Transfer , 2013, IEEE Transactions on Industrial Electronics.

[13]  Marian K. Kazimierczuk,et al.  Class-E zero-voltage-switching and zero-current-switching rectifiers , 1990 .

[14]  M. Kazimierczuk,et al.  Class E resonant low dv/dt rectifier , 1992 .

[15]  D.J. Perreault,et al.  Very High Frequency Resonant Boost Converters , 2007, 2007 IEEE Power Electronics Specialists Conference.

[16]  Marian K. Kazimierczuk,et al.  Resonant DC/DC converter with class-E inverter and class-E rectifier , 1989 .

[17]  Bela Molnar,et al.  Small-Signal Dynamic Analysis of Regulated Class E DC/DC Converters , 1986, IEEE Transactions on Power Electronics.

[18]  Marian K. Kazimierczuk,et al.  Class E DC/DC converters with an inductive impedance inverter , 1989 .

[19]  Hiroo Sekiya,et al.  Design of generalized class E/sup 2/ DC/DC converter , 2002, 2002 IEEE International Symposium on Circuits and Systems. Proceedings (Cat. No.02CH37353).

[20]  Stanislaw Jalbrzykowski,et al.  A Dual Full-Bridge Resonant Class-E Bidirectional DC–DC Converter , 2011, IEEE Transactions on Industrial Electronics.

[21]  Robert D. Lorenz,et al.  Efficient, MHz frequency, resonant converter for sub-meter (30 cm) distance wireless power transfer , 2013, 2013 IEEE Energy Conversion Congress and Exposition.

[22]  S. Birca-Galateanu,et al.  Class E low dv/dt and low di/dt rectifiers: energy transfer, comparison, compact relationships , 2001 .

[23]  Marian K. Kazimierczuk,et al.  Exact analysis of class E tuned power amplifier at any Q and switch duty cycle , 1987 .

[24]  Bela Molnar,et al.  Class E Resonant Regulated DC/DC Power Converters: Analysis of Operations, and Experimental Results at 1.5 MHz , 1986, IEEE Transactions on Power Electronics.

[25]  Qi Author.  Planar Wireless Charging Technology for Portable Electronic Products and Qi , 2013 .

[26]  Marian K. Kazimierczuk,et al.  Class-E DC/DC converters with a capacitive impedance inverter , 1989 .

[27]  James F. Whidborne,et al.  Wireless power transfer using Class E inverter with saturable DC-feed inductor , 2014, 2013 IEEE Energy Conversion Congress and Exposition.

[28]  Charles K. Alexander,et al.  Solution manual of fundamentals of electric circuits 3rd edition, 2005 , 2005 .

[29]  James F. Whidborne,et al.  High-Input-Voltage High-Frequency Class E Rectifiers for Resonant Inductive Links , 2015, IEEE Transactions on Power Electronics.

[30]  Hiroo Sekiya,et al.  Design of generalized class E2 dc/dc converter , 2003, Int. J. Circuit Theory Appl..

[31]  J. Jozwik.  Analysis and design of class-E^2 dc/dc converter , 1990 .

[32]  Hiroo Sekiya,et al.  FM/PWM control scheme in class DE inverter , 2004, IEEE Transactions on Circuits and Systems I: Regular Papers.

[33]  M. Kazimierczuk.  Exact analysis of class E tuned power amplifier with only one inductor and one capacitor in load network , 1983 .

[34]  S. Birca-Galateanu,et al.  Class E half-wave low d/spl nu//dt rectifier operating in a range of frequencies around resonance , 1995 .