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Use of Phasors in Nonlinear Analysis

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EN
Abstrakty
EN
In this paper, the well-known method of phasor analysis of linear ac circuits is extended in a rigorous mathematical way to nonlinear analysis. This fills the lack of such a theory in the literature. The results derived enable carrying out the needed corrections of some results published recently that regard harmonic distortion analysis of weakly nonlinear circuits.
Twórcy
autor
  • Institute of Telecommunications, Faculty of Telecommunications and Electrical Engineering, University of Technology and Life Sciences (UTP), S. Kaliskiego 7, 85-789 Bydgoszcz, Poland
autor
  • Institute of Telecommunications, Faculty of Telecommunications and Electrical Engineering, University of Technology and Life Sciences (UTP), S. Kaliskiego 7, 85-789 Bydgoszcz, Poland
Bibliografia
  • [1] G. Palumbo and S. Pennisi, “High-frequency harmonic distortion in feedback amplifiers: analysis and applications,” IEEE Transactions on Circuits and Systems-I: Fundamental Theory and Applications, vol. 50, pp. 328-340, March 2003.
  • [2] S. O. Cannizzaro, G. Palumbo, and S. Pennisi, “Effects of nonlinear feedback in the frequency domain,” IEEE Transactions on Circuits and Systems-I: Regular Papers, vol. 53, pp. 225–234, February 2006.
  • [3] Distortion analysis of Miller-compensated three-stage amplifiers, IEEE Transactions on Circuits and Systems-I: Regular Papers, vol. 53, pp. 961-976, May 2006.
  • [4] G. Palumbo, M. Pennisi, and S. Pennisi, “Analysis and evaluation of harmonic distortion in the tunnel diode oscillator,” in Proceedings of ISCAS’06, Island of Kos, May 2006, pp. 5135-5138.
  • [5] Analysis and evaluation of harmonic distortion in the Hartley oscillator,” in Proceedings of NOLTA 2006, Bologna, September 2006, pp. 643–646.
  • [6] Analysis of harmonic distortion in the Colpitts oscillator, in Proceedings of ICECS’06, Nice, December 2006, pp. 196-199.
  • [7] Distortion analysis in the frequency domain of a Gm-C biquad filter, in Proceedings of ECCTD’07, Seville, August 2007, pp. 212-215.
  • [8] S. O. Cannizzaro, G. Palumbo, and S. Pennisi, “An approach to model high-frequency distortion in negative-feedback amplifiers,” Journal of Circuit Theory and Applications, vol. 36, pp. 3–18, January 2008.
  • [9] G. Palumbo, M. Pennisi, and S. Pennisi, “Wien-type oscillators: evaluation and optimization of harmonic distortion,” IEEE Transastions on Circuits and Systems-II: Express Briefs, vol. 55, pp. 628-632, July 2008.
  • [10] Miller theorem for weakly nonlinear feedback circuits and application to CE amplifier,” IEEE Transastions on Circuits and Systems-II: Express Briefs, vol. 55, pp. 991-995, October 2008.
  • [11] S. Narayanan, “Application of Volterra series to intermodulation distortion analysis of transistor feedback amplifiers,” IEEE Transactions on Circuit Theory, vol. CT-17, pp. 518-527, November 1970.
  • [12] E. Bedrosian and S. O. Rice, “The output properties of Volterra systems (nonlinear systems with memory) driven by harmonic and Gaussian inputs,” Proceedings of the IEEE, vol. 59, pp. 1688-1707, December 1971.
  • [13] J. J. Bussgang, L. Ehrman, and J. W. Graham, “Analysis of nonlinear systems with multiple inputs,” Proceedings of the IEEE, vol. 62, pp. 1088-1119, August 1971.
  • [14] C. P. Steinmetz, “Theory and calculation of a. c. phenomena,” 1897, New York.
  • [15] B. Konorski, Podstawy Elektrotechniki. Warszawa: PWN, 1961, (in Polish).
  • [16] S. Boyd and L. O. Chua, “Fading memory and the problem of approximating nonlinear operators with Volterra series,” IEEE Transactions on Circuits and Systems, vol. CAS-32, pp. 1150-1161, November 1985.
  • [17] I. W. Sandberg, “Causality and the impulse response scandal,” IEEE Transactions on Circuits and Systems - I: Fundamental Theory and Applications, vol. 50, pp. 810–811, 2003.
  • [18] A. Borys, “A simplified analysis of nonlinear distortion in analog electronic circuits using the Volterra-Wiener series,” Scientia Electrica, vol. 30, no. 3, pp. 78-103, 1984.
  • [19] L. O. Chua, “Device modeling via basic nonlinear circuit elements,” IEEE Transactions on Circuits Systems, vol. CAS-27, pp. 1014-1044, November 1980.
  • [20] A. Borys, “Exploiting admittance formalism in the nonlinear analysis,” Zesz. Nauk. WSInf: Teoria i Zastosowania Informatyki, vol. 8, no. 2, pp. 17-39, 2009.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-59461217-6fe4-4c03-9516-ed28f5ced8c7
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