Two Kinds of Self-Oscillating Circuits Mechanically Demonstrated
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.
[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.
[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.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:69514", author = "Shiang-Hwua Yu and Po-Hsun Wu", title = "Two Kinds of Self-Oscillating Circuits Mechanically Demonstrated", 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, pendulum
clock, Coulomb friction, class-D amplifier.", volume = "8", number = "7", pages = "1334-5", }
