Abstract
To analyze the dynamic properties and set the feedback ratio of the converter, the authors suggest using numerical general solutions of differential equations. This paper presents the analysis of such solutions for various feedback ratios. The paper shows that the parameters that ensure stability and fast transient processes in the small, also ensure stability and fast transient processes in the large.
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References
Baushev, V.S., Zhusubaliev, Z.T., Mikhalchenko, S.G.: Stocastic Features in the Dynamic Characteristics of a Pulse-width Controlled Voltage Stabilizer. J. Electrical Techonology 1 (1996)
Banerjee, S., Ott, E., Yorke, J.A., Yuan, G.N.: Anomalous Bifurcation in DC-DC converters: borderline collisions in piecewise smooth maps. In: Proc. IEEE Power Electronics Specialists Conf., pp. 1337–1344 (1997)
Kobzev, G.A., Tanovitski, Y.N., Savin, D.A., Turan, V.V.: Method for Analysis of the Global Stability of Dynamic Systems with Pulse-Width Modulation that are Presented in the Form of Poincaré Mappings. Russian Physics Journal 54(6), 673–678 (2011)
Kobzev, G.A., Tanovitski, Y.N., Savin, D.A.: Control Algorithm for the Adaptive Buck Converter with Pulse-Width Modulation. Izvestiya Vuzov Rossii Radioelektronika 2007(3), 27–33 (2007) (in Russian)
Calculation of the buck converter parameters minimizing the duration of the transient process, http://www.ie.tusur.ru/books/js/calc.htm
Tanovitski, Y.N., Khalilyaev, T.F., Kobzev, G.A.: Adaptive Control Algorithm for Stabilized Buck Converters with Pulse-Width Modulation. In: Proceedings of Tomsk State University of Control Systems and Radioelectronics, vol. 1(21), part 2 (2010), http://tusur.ru/filearchive/reports-magazine/2010-1-2/80-85.pdf
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Tanovitski, Y., Kobzev, G., Savin, D. (2014). General Solutions of Nonlinear Equations for the Buck Converter. In: Mladenov, V.M., Ivanov, P.C. (eds) Nonlinear Dynamics of Electronic Systems. NDES 2014. Communications in Computer and Information Science, vol 438. Springer, Cham. https://doi.org/10.1007/978-3-319-08672-9_18
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DOI: https://doi.org/10.1007/978-3-319-08672-9_18
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-08671-2
Online ISBN: 978-3-319-08672-9
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