Stability of Ideal Thyristor and Diode Switching Circuits

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 42, Issue 9, 1995, Pages 517-529

  Dobson, Ian ^a  

^a UNIVERSITY OF WISCONSIN MADISON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); DIODES; EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL MODELS; RESONANT CIRCUITS; SYSTEM STABILITY; THYRISTORS;

BRIDGE RECTIFIER CIRCUITS; DIODE SWITCHING CIRCUITS; HIGH POWER THYRISTOR CONTROLLED REACTOR; JACOBIAN FORMULA; PERIODIC ORBITS; POINCARE MAP; SWITCHING TIMES;

SWITCHING CIRCUITS;

EID: 0029378720     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.414825     Document Type: Article

References (32)

1. D. Bedrosian and J. Vlach, “Time-domain analysis of networks with internally controlled switches,” IEEE Trans. Circuits Syst. I, vol. 39, pp. 199–212, Mar. 1992.
2. “Accelerated steady-state method for networks with internally controlled switches,” IEEE Trans. Circuits Syst. I, vol. 39, pp. 520–530, July 1992.
3. L. O. Chua, M. Hasler, J. Neirynck, and P. Verburgh, “Dynamics of a piecewise-linear resonant circuit,” IEEE Trans. Circuits Syst., vol. 29, pp. 535–547, Aug. 1982.
4. I. Dobson, “Representation and simulation of AC/DC convertor systems using fixed and varying electrical axes,” IEE Proc., part A, vol. 134, no. 1, pp. 67–83, Jan. 1987.
5. I. Dobson, S. G. Jalali, and R. Rajaraman, “Damping and resonance in a high power switching circuit,” in Systems and Control Theory for Power Systems, IMA, Volume 64, Mathematics and Its Applications, J. H. Chow, P. V. Kokotovic, and R. J. Thomas, Eds. New York: Springer-Verlag, pp. 137–156, 1994.
6. I. Dobson and S. G. Jalali, “Surprising simplification of the Jacobian of a diode switching circuit,” IEEE Int. Symp. Circuits Syst., Chicago, IL, May 1993, pp. 2652-2655.
7. M. Grötzbach and R. von Lutz, “Unified modeling of rectifier-controlled DC-power supplies,” IEEE Trans. Power Electron., vol. 1, no. 2, pp. 90–100, Apr. 1986.
8. J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields. New York: Springer-Verlag, 1986.
9. L. Gyugyi, “Power electronics in electric utilities: Static var compensators,” Proc. IEEE, vol. 76, pp. 483–494, Apr. 1988.
10. M. Hasler, “Comments on ' ‘Efficient solution of the variational equation for piecewise-linear differential equations’ by Thomas S. Parker and Leon O. Chua,” Int. J. Circuit Theory and Applicat., vol. 16, pp. 325–342, 1988.
11. N. G. Hingorani, “Power electronics in electric utilities: Role of power electronics in future power systems,” in Proc. IEEE, Special Issue on Power Electron., Apr. 1990.
12. N. Inaba and S. Mori, “Chaos via torus breakdown in a piecewise-linear forced van der pol oscillator with a diode,” IEEE Trans. Circuits Syst., vol. 38, pp. 398–409, Apr. 1991.
13. “Folded torus in the forced forced rayleigh oscillator with a diode pair,” IEEE Trans. Circuits Syst. I, vol. 39, pp. 402–411, May 1992.
14. S. G. Jalali, I. Dobson, and R. H. Lasseter, “Instabilities due to bifurcation of switching times in a thyristor controlled reactor,” Power Electron. Specialists Conf., Toledo, Spain, July 1992, pp. 546-552.
15. S. G. Jalali, I. Dobson, R. H. Lasseter, and G. Venkataramanan, “Switching time bifurcations of a thyristor controlled reactor,” to be published in IEEE Trans. Circuits Syst. I, to be published, Dec. 1995.
16. S. G. Jalali, “Harmonics and instabilities in thyristor based switching circuits,” Ph.D. dissertation, Univ. of Wisconsin-Madison, 1993.
17. S. G. Jalali, R. H. Lasseter, and I. Dobson, “Dynamic response of a thyristor controlled switched capacitor,” IEEE Trans. Power Delivery, vol. 9, no. 3, pp. 1609–1615, July 1994.
18. E. S. Kuh and R. A. Rohrer, “The state-variable approach to network analysis, Proc. IEEE, vol. 53, no. 7, pp. 672–686, July 1965.
19. P. Kundur, Power System Control and Stability. New York: McGraw-Hill, 1994.
20. Y. Kuroe, T. Maruhashi, and N. Kanayama, “Computation of sensitivities with respect to conduction time of power semiconductors and quick determination of steady state for closed-loop power electronic systems,” in Power Electron. Specialists Conf., Kyoto, Japan, Apr. 1988, pp. 756-764.
21. J. P. Louis, “Non-linear and linearized models for control systems including static convertors,” in Proc. Third Int. Federation on Automat. Contr. Symp. Control in Power Electron, and Electrical Drives, Lausanne, Switzerland, Sept. 1983, pp. 9-16.
22. R. von Lutz and M. Grötzbach, “Straightforward discrete modeling for power convertor systems,” Power Electron. Specialists Conf, Toulouse, France, June 1985, pp. 761-770.
23. J. Milias-Argitis and Th. Zacharias, “A transformation method for the solution of power switching circuits based on network topological concepts,” Int. J. Circuit Theory and Applicat., vol. 18, pp. 33–51, 1990.
24. Y. Murakami, “A method for the formulation and solution of circuits composed of switches and linear RLC elements,” IEEE Trans. Circuits Syst., vol. 34, pp. 496–509, May 1987.
25. T. S. Parker and L. O. Chua, “Efficient solution of the variational equation for piecewise-linear differential equations,” Int. J. Circuit Theory and Applicat., vol. 14, pp. 305–314, 1986.
26. R. Rajaraman, I. Dobson, and S. Jalali, “Nonlinear dynamics and switching time bifurcations of a thyristor controlled reactor,” IEEE Int. Symp. Circuits Syst., Chicago, IL, May 1993, pp. 2180-2183.
27. R. Rajaraman, I. Dobson, R. H. Lasseter, and Y. Shern, “Computing the damping of subsynchronous oscillations due to a thyristor controlled series reactor,” to appear in IEEE Trans. Power Delivery.
28. R. A. Rohrer, Circuit Theory: An Introduction to the State Variable Approach. New York: McGraw-Hill, 1970.
29. S. R. Sanders and G. C. Verghese, “Lyapunov-based control for switched power converters,” IEEE Trans. Power Electron., vol. 7, pp. 17–24, Jan. 1992.
30. S. W. Shaw and P. J. Holmes, “A periodically forced piecewise linear oscillator,” J. Sound and Vibration, vol. 90, no. 1, pp. 129–155, 1983.
31. J. M. T. Thompson and H. B. Stewart, Nonlinear Dynamics and Chaos: Geometrical Methods for Scientists and Engineers. London: Wiley, 1986, reprinted 1987.
32. G. C. Verghese, M. E. Elbuluk, and J. G. Kassakian, “A general approach to sampled-data modeling for power electronic circuits,” IEEE Trans. Power Electron., vol. 1, no. 2, pp. 76–89, Apr. 1986.