Summary

Proceedings of the 2012 International Symposium on Nonlinear Theory and its Applications

2012

Session Number:C3L-A

Session:

Number:687

Analytical Derivation of Switching-pattern Distribution for Class-E Amplifier Using Bifurcation Theory

Tomoharu Nagashima,  Xiuqin Wei,  Takuji Kousaka,  Hiroo Sekiya,  

pp.687-690

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.1.687

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Summary:
This paper presents analytical switching-pattern distributions for the class-E amplifier. The switching patterns are changed via border-collision bifurcation or grazing bifurcation. Therefore, the switching-pattern distribution maps can be obtained for wide parameter region by solving the bifurcation conditions with the analytical steady-state waveform expressions and following the bifurcation curves. By carrying out circuit experiments, we can confirm the validity of the distribution maps.

References:

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[2] M. Albulet and R. E. Zulinski, “Effect of switch duty ratio on the performance of class E amplifiers and frequency multipliers, ” IEEE Trans. Circuits Syst., vol. 45, no. 4, pp. 325-335, Apr. 1998.

[3] T. Suetsugu and M. Kazimierczuk, “Steady-state behavior of class E amplifier outside designed conditions, ” in Proc. IEEE ISCAS, Kobe, Japan, May, 2005, pp. 708-711.

[4] T. Nagashima, X. Wei, H. Sekiya, and M. K. Kazimierczuk, “Power conversion efficiency of class E power amplifier outside nominal operations,” in Proc. IEEE ISCAS, Rio de Janeiro, Brazil, May 2011, pp.749-752.

[5] M. di Bernardo, C. J. Budd and A. R. Champneys, “Grazing and border-collision in peacewise-smooth systems: a unified analytical framework,” Phys. Rev. Lett., vol. 86, no. 12, pp. 2553-2556, Mar 2001.