Analysis of Power Electronic Converters via Averaging Theory Approach
This work handles with some novel results on the averaging theory approach for the analysis of feedback controlled PWM power electronic converters. It elaborates some issues about the averaging approximation of time-variant differential systems ascertaining an analytical relationship between the preciseness by means of the solution of the averaged model meets the switched model and the converters switching frequency. This correlation is acceptable both for steady and unsteady systems. Moreover, this paper proves, as corollary, that, under appropriate circumstances (checked in the course of the standard activities of the power electronic converters), the averaged model converges to the switched model, consistently.
Copyright © 2019 Praise Worthy Prize - All rights reserved.
Philip Krein, Elements of power electronics, 2nd ed., The Oxford Series in Electrical and Computer Engineering, Oxford University Press, December 2014, U.S.A.
J. C. Balda and A. Mantooth, "Power-Semiconductor Devices and Components for New Power Converter Developments: A key enabler for ultrahigh efficiency power electronics," IEEE Power Electronics Magazine, vol. 3, DOI 10.1109/MPEL.2016.2551801, no. 2, pp. 53-56, Jun. 2016.
H. Titah-Benbouzid and M. Benbouzid, “An Up-to-Date Technologies Review and Evaluation of Wave Energy Converters,” International Review of Electrical Engineering (IREE), vol. 10, DOI 10.15866/iree.v10i1.5159 , n. 1, pp. 52-61, Feb. 2015.
M. Sheboniea, M. Darwish and A. Janbey, “Review of UK Domestic Electricity Consumption and Potential Trends in Using Renewable Energy Sources and Plug-in Hybrid Electrical Vehicles,” International Review of Electrical Engineering (IREE), Vol. 10, DOI 10.15866/iree.v10i6.7427 , n. 6, pp. 778-786, Dec. 2015.
S. Meo and V. Sorrentino, “Discrete-time integral sliding mode control with disturbances compensation and reduced chattering for PV grid-connected inverter,” Journal of Electrical Engineering, Vol. 66, DOI 10.1515/jee-2015-0010, n. 2, pp. 61-69, May 2015.
S. Meo, V. Sorrentino, A. Zohoori and A. Vahedi, “Second-Order Sliding Mode Control of a Smart Inverter for Renewable Energy System,” International Review of Electrical Engineering (IREE), vol. 9, DOI 10.15866/iree.v9i6.5368, n. 6, pp. 1090-1096, Dec. 2014.
G. V. Wester and R. D. Middlebrook, “Low-frequency characterization of switched DC-DC converters,” IEEE Trans Aerosp Electron Syst., Vol. 9, DOI 10.1109/TAES.1973.309723, n. 3, pp. 376–385, May 1973.
R. D. Middlebrook and S. Cuk, “A general uniﬁed approach to modelling switching converter power stages,” In Proceedings of the IEEE power electronic specialists conference. Cleveland, Ohio, USA, DOI 10.1109/PESC.1976.7072895, pp 18–34, Jun. 1976.
P. T. Krein, J. Bentsman, R. M. Bass, and B. C. Lesieutre, “On the use of averaging for the analysis of power electronic systems,” IEEE Trans. Power Electron., Vol. 5, DOI 10.1109/63.53155, n. 2, pp. 182-190, Apr. 1990.
J. Sun and H. Grotstollen, "Averaged modelling of switching power converters: reformulation and theoretical basis," in Power Electronics Specialists Conference, 1992. PESC '92 Record., 23rd Annual IEEE, Toledo, vol. 2, DOI 10.1109/PESC.1992.254742, pp. 1165-1172, Jul. 1992.
B. Lehman and R. M. Bass, "Extensions of averaging theory for power electronic systems," IEEE Transactions on Power Electronics, Vol. 11, DOI 10.1109/63.506119, n. 4, pp. 542-553, Jul. 1996.
B. Lehman and R. M. Bass, “Switching frequency dependent averaged models for PWM dc-dc converters,” IEEE Trans. Power Electron., Vol. 11, DOI 10.1109/63.484421, pp. 89-98, Jan. 1996.
N. N. Bogoliubov and Y. A. Mitropolsky, Asymptotic Methods in the Theory of Nonlinear Oscillations. New York Gordon and Breach, 1961.
A. F. Filippov, Differential Equations with Discontinuous Righthand Sides. The Netherlands: Kluwer Academic, 1988.
Krasovskii, N. N. “Stability of Motion.” [translation by J. L. Brenner] Stanford University Press, Stanford, California, 1963.
F. Verhulst and J. A. Sanders. Averaging Methods in Nonlinear Dynamical Systems. Springer-Verlag, N. Y., 1985.
V. A. Plotnikov, “Averagin methods for differential inclusions and its applications to optimal control problems,” Differential Equations, Vol. 15, pp 1013-1018, 1979.
Jean-Pierre Aubin, Arrigo Cellina, Differential inclusions, Springer-Verlag 1984, Berlin.
Ali Hasan Nayfeh, Perturbation Methods, John Wiley & Sons Inc., 1973.
L.S. Pontryagin, “Asymptotic behaviour of solutions of a system of differential equations with small parameter in front of the highest derivative,” Izv. Akad. Nauk SSSR Ser. Mat., Vol. 21, pp. 605–626, 1957.
D.W. Jordan, P Smith, Nonlinear ordinary differential equations, Oxford University Press, 1999, U.S.A.
- There are currently no refbacks.
Please send any question about this web site to email@example.com
Copyright © 2005-2019 Praise Worthy Prize