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O możliwości realizacji częstotliwościowych modeli dwójników nieliniowych
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Abstrakty
A method of determination of frequency models of nonlinear one-ports has been described in the article. These one-ports have been described by means of Nemecky's polynomial operators. Application of the describing function method and harmonic balance method for determination of frequency models of nonlinear one-ports enables effective determination of parameters of these models. Frequency models have a lot of applications in analysis of circuits. An example which illustrates proposed method for selected characteristics of nonlinear inertialess and dynamic elements has been presented.
W artykule opisano metodę wyznaczania częstotliwościowych modeli dwójników nieliniowych. Dwójniki te opisano wykorzystując wielomianowy operator Nemyckiego. Zastosowanie metody bilansu harmonicznych oraz metody funkcji opisującej umożliwiło efektywne wyznaczenie parametrów tych modeli. Częstotliwościowe modele mają wiele zastosowań w analizie obwodów. Zastosowaną metodę zilustrowano przykładami dla wybranych charakterystyk elementów nieliniowych.
Rocznik
Tom
Strony
41--55
Opis fizyczny
Bibliogr. 26 poz.
Twórcy
autor
- Instytut Elektrotechniki Teoretycznej i Przemysłowej Politechnika Śląska, 44-100 Gliwice, ul. Akademicka 10, tel. (032)237-10-08, piotr.swiszcz@polsl.pl
Bibliografia
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- 3. Arrilaga J., Bradley D. P., Bodger S.: Power System Harmonics. J. Wiley, New York 1985, p. 93-106, 110-132.
- 4. Brambilla A., D ’Amore D.: A Filter-Based Technique for the Harmonic Balance Method. „IEEE Trans on CAS, I: Fundamental Theory and Applications” 1996, Vol. 43, No 2, p 92-98.
- 5. Chang Ch., Steer M.B., Rhyne G.W.: Frequency-Domain Spectral Balance Using the Arithmetic Operator Method. „IEEE Trans on Microwave Theory and Techniques” 1989, Vol. 37, No. 11, p. 1681-1688.
- 6 . Chua L. O., Lin P. M.: Computer Aided Analysis of Electronic Circuits. Prentice - Hall, Inc, Englewood Cliffs, New Jersey 1975.
- 7. Fang S., Tsivids T., Wing O.: Time and Frequency - Domain Analysis of Linear Switched Capacitor Networks. „IEEE Trans, on CAD” 1985, Vol. CAD-4, p. 651-661.
- 8 . Guckenheimer J., Holmes P.: Nonlinear Oscillations, Dynamical Systems and Bifurcations o f Vector Fields. Springer-Verlag, New York 1986.
- 9. Knop M., Kohle S.: Time-Varying Loads in Electric Power Systems. Power Input, Equivalent Circuits Elements and Disturbances. ETEP, 1997, Vol. 7, No. 1, p. 5-11.
- 10. Kudrewicz, J.: Frequency methods in nonlinear and Dynamical System Theory. WNT, Warsaw 1970.
- 11. Lunsford P.J., Rhyne G.W., Steer M.B.: Frequency-Domain Bivariate Generalised Power Series Analysis o f Nonlinear Analog Circuits. „IEEE Trans on Microwave Theory and Techniques” 1990, Vol. 38, No. 6 , p. 815-819.
- 12. Maas S.: Nonlinear Microwave Circuits. Artech House, Massachusetts 1988.
- 13. Mees A. I.: Describing Functions. „Int. J. Appl. Math” 1984, No. 32, p.221-233.
- 14. Narhi T.: Analysis o f Strongly Nonlinear Circuits with a Frequency-Domain Method Coupled with a Consistent Large-Signal Model. „IEEE MTT-S Digest” 1993, p. 633-636.
- 15. Piccardi C.: Harmonic Balance Analysis of Codimension-2 Bifurcations in Periodic Systems, „IEEE Trans, on Circuits and Systems, I Fundamental Theory and Applications”, 1996, vol. 43, No. 12, p. 1015-1018.
- 16. Rhyne G.W., Steer M.B., Bates B.D. Frequency-Domain Nonlinear Circuit Analysis Using Generalised Power Series. “IEEE Trans on Microwave Theory and Techniques”, 1988, Vol. 36, No. 2, p. 379-387.
- 17. Rhyne G.W., Steer M.B.: Generalised Power Series Analysis of Intermodulation Distortion in a MESFET Amplifier: Simulation and Experiment. “IEEE Trans on Microwave Theory and Techniques”, 1987, Vol. MTT-35,No. 12, p. 1248-1255.
- 18. Schetzen M.: The Volterra and Wiener Theories of Nonlinear Systems. J. Wiley, New York 1980.
- 19. Stenius P., Heikkila P., Valtonen M.: Transient Analysis of Circuits Including Frequency Dependent Components. 11th ECCTD Davos, Switherland, 30 Aug. - 3 Sept. 1993, p. 1299-1304.
- 20. Świszcz P., Walczak J.: Chua's Diode and It’s Generalisation. „International Journal of Chaos Theory and Applications”, 1996, vol. 1, AAATI, p. 39-46.
- 21. Świszcz P.: Analysis o f the RLC systems with nonlinear and inertialess elements. Ph.D. Thesis Silesian University of Technology 2001.
- 22. Świszcz P., Walczak J.: Frequency models of nonlinear loads, Conf. EPN’2002 Zielona Góra, 11-13 June 2002, p. 83-90.
- 23. Walczak J., Świszcz P.: Models of nonlinear and inertialess loads in frequency domain. 25th SPETO, Ustroń, 22-25 May 2002, p. 257-260.
- 24. Walczak J., Świszcz P.: Models of dynamical and nonlinear oe-ports in frequency domain. 26th SPETO, Niedzica, 28-31 May 2003, p. 221-224.
- 25. Walczak J., Świszcz P.: Frequency representations of the one-po>. XII. International Symposium on Theoretical Electrical Engineering ISTET’03. Warsaw, 6-9 July 303, Vol. I, p. 69-72.
- 26. Voltonen M., Heikkila P., Kankkunen A. Mannersalo K., Niutann R., Stenius P.: APLAC - A New Approach to Circuits Simulation by Object-Orientation. 10th CCTD, Danish, Copenhagen, 2-6 Sept. 1991, p. 351-360.
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Bibliografia
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bwmeta1.element.baztech-article-BSL6-0010-0061