On the Use of Averaging for the Analysis of Power Electronic Systems

IEEE Transactions on Power Electronics

Volumn 5, Issue 2, 1990, Pages 182-190

  Krein, Philip T ^a   Bentsman, Joseph ^a   Bass, Richard M ^a   Lesieutre, Bernard L ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC CONVERTERS, STATIC; ELECTRIC NETWORKS, SWITCHING; MATHEMATICAL TECHNIQUES--STATE SPACE METHODS; PULSE WIDTH MODULATION;

DC/DC CONVERTERS; KBM METHOD; POWER ELECTRONICS; PWM BUCK CONVERTER; PWM METHOD; RIPPLE ESTIMATE;

ELECTRIC CONVERTERS, POWER TYPE;

EID: 0024649753     PISSN: 08858993     EISSN: 19410107     Source Type: Journal    
DOI: 10.1109/63.53155     Document Type: Article

References (19)

1. R. D. Middlebrook and S. Cuk, “A general unified approach to modeling switching-converter power stages,” in IEEE Power Electronics Specialists Conf. Rec., 1976, pp. 18–34.
2. B. Y. Lau and R. D. Middlebrook. “Small-signal frequency response theory for piecewise-constant two-switched-network dc-to-dc converter systems,” in IEEE Power Electronics Specialists Conf. Rec. 1986, pp. 186–200.
3. G. Verghese and U. Mukherji. “Extended averaging and control procedures,” in IEEE Power Electronics Specialists Conf. Rec., 1981, pp. 329–336.
4. R. D. Middlebrook, “Small-signal modeling of pulse-width modulated switched-mode power converters.” Proc. IEEE. vol. 76. no. 4, pp. 343–354, Apr. 1988.
5. R. Tymerski, V. Vorperian, F. C. Lee. and W. Baumann, “Nonlinear modeling of the PWM switch.” in IEEE Power Electronics Specialists Conf. Rec., 1988, pp. 968–976.
6. M. Clique and A. J. Fossard. “A general model for switching converters,” IEEE Trans. Aerospace Electron. Syst., vol. AES-13, no. 3, pp. 397–400, July 1977.
7. A. Capel, J. G. Ferrante, and R. Prajoux, “State variable stability analysis of multi-loop PWM controlled dc/dc regulators in light and heavy mode.” in IEEE Power Electronics Specialists Conf. Rec., 1975, pp. 91–103.
8. M. Grotzbach, “Analysis of periodically switch controlled lowpass systems by continuous approximation models,” Automatica. vol. 17, no. 2, pp. 321–334, 1981.
9. D. J. Shortt and F. C. Lee. “Extensions of the discrete-average models for converter power stages,” in IEEE Power Electronics Specialists Conf. Rec., 1983, pp. 23–37.
10. R. W. Brockett and J. R. Wood, “Electrical networks containing controlled switches,” in ‘Applications of Lie group theory and nonlinear network problems,’ supplement to IEEE hit. Symp. on Circuit Theory. 1974, pp. 1–11.
11. R. W. Erickson, S. Cuk and R. D. Middlebrook. “Large-signal modelling and analysis of switching regulators.” in IEEE Power Electronics Specialists Conf. Rec., 1982, pp. 240–250.
12. J. A. Sanders and F. Verhulst, Averaging Methods in Nonlinear Dynamical Systems. New York: Springer-Verlag, 1985.
13. M. M. Khapaev, “On the method of averaging and on certain problems connected with averaging.” Differential Equations. 1966. vol. 2, no. 5, pp. 310–314.
14. N. N. Bogoliubov and Y. A. Mitropolsky. Asymptotic Methods in the Theory of Non-linear Oscillations. New York: Gordon and Breach, 1961.
15. P. R. Sethna and T. J. Moran, “Some nonlocal results for weakly nonlinear dynamical systems.” Quarterly of Applied Mathematics. 1968, vol. XXVI. no. 2, pp. 175–185.
16. R. Bellman, J. Bentsman and S. M. Meerkov, “Stability of fast periodic systems,” IEEE Trans. Automat. Control, vol. AC-30, pp. 289–291, Mar. 1985.
17. J. K. Hale. Ordinary Differential Equations. New York: Robert E. Krieger. 1980.
18. S. M. Meerkov, “Averaging of trajectories of slow dynamic systems,” Differential Equations. 1973. vol. 9. no. 11, pp. 1239–1245.
19. A. H. Nayfeh, Perturbation Methods. New York: Wiley, 1973.