Düşürücü Voltaj Dönüştürücüsünün Bozucu Etkilere Tepkisinin Matematiksel Modellenmesi

Year 2022, Volume: 5 Issue: 2, 106 - 111, 31.12.2022

Hafiz Alisoy Mahir Yasar Selcen Akıncı Merve Damar Mohammadreza Masoumisoureh

https://doi.org/10.55581/ejeas.1212838

Abstract

Bu çalışmada, dinamik bir sistemin keyfi bir durumdan, ihtiyaç duyulan çıkış voltajı değeri tarafından belirlenen bir duruma iki aşamalı bir geçişini sağlayan, düşürücü bir voltaj dönüştürücünün bozucu etkilere tepkisinin matematiksel modellenmesi analiz edilmektedir. Entegre uyarlamalı birleştirilmiş denetleyicilerin analitik yapı yöntemi (ACAC) kullanılarak, DC sürekli akım modunda ve güç anahtarının sabit frekans değeri için bir düşürücü voltaj dönüştürücüsü sentezlenmiştir.

Keywords

Buck dönüştürücü, Darbe Genişlik Modülasyonu, İntegral adaptasyon yöntemi, Kontrol sistemi, Sürekli akım

Mathematical Modeling of the Response of a Buck Converter to Disturbances

Abstract

This study discusses the issues of mathematical modeling of the response of a step-down voltage converter to disturbing influences, which provides a two-stage transfer of a dynamic system from an arbitrary state to a state determined by the required output voltage value. Using the method of analytical construction of aggregated controllers (ACAC) with integral adaptation, a regulator of a buck converter in DC mode (CCM) and a constant frequency of the power switch is synthesized.

Keywords

Buck converter, Continuous current mode (CCM), Control system, Integral adaptation method, Pulse Width Modulation

References

• [1 ] Chun T. Rim, Gyu B. Joung, and Gyu H. Cho, “Practical Switch Based State-Space Modeling of DC-DC Converters with All Parasitics,” IEEE Trans. on power electronics, vol. 6 No. 4 October 1991
• [2]Undeland, M. N., Robbins, W. P., & Mohan, N. (1995). Power electronics. Converters, Applications, and Design.
• [4] Hart, D. W., & Hart, D. W. (2011). Power electronics (Vol. 166). New York: McGraw-Hill.
• [5]Kaur, R., & Kaur, N. (2014). Mathematical Modelling of Buck Converter. International Journal on Recent and Innovation Trends in Computing and Communication, 2(5), 1226-1229.
• [6] Belous, A., Solodukha, V., Efimenko, S., & Pilipenko, V. (2022). Fundamentals of power electronics
• [7] Marian K. Kazimierczuk «Pulse-width modulated dc–dc power converters», 2008г.
• [8]Singh, P., & Purwar, S. (2012, December). Sliding mode controller for PWM based Buck-Boost DC/DC converter as state space averaging method in continuous conduction mode. In 2012 2nd International Conference on Power, Control and Embedded Systems (pp. 1-5). IEEE
• [9] S. Laali, H.M Mahery, “Buck DC-DC Converter: Mathematical Modeling and Transient State Analyzes”, 3rd IEEE International Symposium on Power Electronics for Distributed Generation Systems (PEDG), 2012, pp. 661-667.
• [10] Rodney H.G TanI. , Matthew Y.W.Teow,” A Comprehensive Modeling, Simulation and Computational Implementation of Buck Converter Using MATLAB/Simulink" ,Energy Conversion(CENCON)”,2014 IEEE Conference on 13-14 Oct.2014, pp. 37-42.
• [11] A. A. Kolesnikov, Sequential Optimization of Nonlinear Aggregated Control Systems (Energoatomizdat, Moscow,1987) [in Russian].
• [12] A.A. Kolesnikov, Synergetic Control Theory (in Russian) Moscow – Taganrog: TSURE, 1994, ISBN 50230-24678-2.
• [13] Kondratiev, I., Santi, E., Dougal, R., & Veselov, G. (2004, June). Synergetic control for DC-DC buck converters with constant power load. In 2004 IEEE 35th Annual Power Electronics Specialists Conference (IEEE Cat. No. 04CH37551) (Vol. 5, pp. 3758-3764). IEEE.
• [14] Khoroshavin, V. S. Singular optimal control of nonlinear objects: [monograph] / V. S. Khoroshavin, A. V. Zotov. - Kirov: Vyatka State University, 2019. - 208 p.
• [15] Mude, N. R., & Sahu, A. (2012). Adaptive control schemes for dc-dc buck converter. International Journal of Engineering Research and Applications, 2(3), 463-467.
• [16] Ramana, K. V., Majhi, S., & Gogoi, A. K. (2018). Identification of DC–DC buck converter dynamics using relay feedback method with experimental validation. IET Circuits, Devices & Systems, 12(6), 777-784.
• [17] Viswanatha, V., & Reddy, R. V. S. (2016, October). Modeling, simulation and analisis of noninverting buck-boost converter using PSIM. In 2016 International Conference on Circuits, Controls, Communications and Computing (I4C) (pp. 1-5). IEEE.
• [18] Chernykh I.V., "Simulink Dynamic Systems Modeling Tool [in Russian].