Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 30379
Two Kinds of Self-Oscillating Circuits Mechanically Demonstrated

Authors: Shiang-Hwua Yu, Po-Hsun Wu

Abstract:

This study introduces two types of self-oscillating circuits that are frequently found in power electronics applications. Special effort is made to relate the circuits to the analogous mechanical systems of some important scientific inventions: Galileo’s pendulum clock and Coulomb’s friction model. A little touch of related history and philosophy of science will hopefully encourage curiosity, advance the understanding of self-oscillating systems and satisfy the aspiration of some students for scientific literacy. Finally, the two self-oscillating circuits are applied to design a simple class-D audio amplifier.

Keywords: self-oscillation, sigma-delta modulator, Coulomb friction, class-D amplifier, pendulum clock

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1100202

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 2067

References:


[1] A. A. Andronow and C. E. Chaikin, Theory of Oscillations, English Language Edition, edited by S. Lefschetz, Princeton University Press, Princeton, 1949.
[2] A. Jenkins, “Self-oscillation,” Physics Reports, Vol. 525, Issue 2, pp. 167-222, April 2013.
[3] A. R. Seidel, F. E. Bisogno, and R. N. do Prado, “A design methodology for a self-oscillating electronic ballast,” IEEE Trans. Power Electron., vol. 43, no. 6, pp. 1524–1533, Nov./Dec. 2007.
[4] S. Voronina and V. Babitsky, “Autoresonant control strategies of loaded ultrasonic transducer for machining applications,” Journal of Sound and Vibration, 313, pp. 395-417, 2008.
[5] Jurgen van Engelen and Rudy J. van de Plassche, Bandpass Sigma Delta Modulators: Stability Analysis, Performance and Design, Kluwer Academic Publishers, 1999.
[6] S. H. Yu, T. Y. Wu, and S. H. Wang, “Extension of Pulse Width Modulation from Carrier-Based to Dither-Based,” IEEE Trans. Industrial Informatics, Vol. 9, No. 2, pp. 1029-1036, May 2013.
[7] G. Lakeoff and M. Johnson, Metaphors We Live By. Chicago: University of Chicago Press, 1980.
[8] G. L. Baker and J. A. Blackburn, The Pendulum: A Case Study in Physics, Oxford University Press, New York, 2005.
[9] M. R. Matthews, Time for Science Education: How Teaching the History and Philosophy of Pendulum Motion Can Contribute to Science Literacy, Kluwer Academic/Plenum Publishers, New York, 2000.
[10] H. Olsson, K. J. Åström, C. Canudas de Wit, M. Gäfvert, and P. Lischinsky, “Friction models and friction compensation,” European Journal of Control, vol. 3, pp. 176-195, 1998.
[11] D. Sobel, Longitude: The Story of a Lone Genius Who Solved the Greatest Scientific Problem of His Time, Penguin Books, 1995.
[12] R. S. Westfall, “Making a world of precision: Newton and the construction of a quantitative world view,” Some Truer Method: Reflections on the Heritage of Newton, edited by F. Durham and R. D. Purrington, Columbia University Press, New York, 1990.
[13] G. Sussman, “An electrical engineering view of a mechanical watch,” MIT World Video http://video.mit.edu/watch/an-electrical-engineeringview- of-a-mechanical-watch-9035/.
[14] S.H. Yu, “Analysis and design of single-bit sigma-delta modulators using the theory of sliding modes,” IEEE Transactions on Control Systems Technology, Vol. 14, No. 2, pp. 336-345, 2006.
[15] D. Dowson, History of Tribology, Longman Group Ltd., New York, 1979.
[16] B. Cohen, “Newton’s method and Newton’s style,” Some Truer Method: Reflections on the Heritage of Newton, edited by F. Durham and R. D. Purrington, Columbia University Press, New York, 1990.
[17] E. Gaalaas, “Class D audio amplifiers: what, why, and how,” Analog Dialogue, vol. 40, no. 2, pp. 6-12, June, 2006.