Designing a PI controller for Cuk converter using converter dynamics toolbox for MATLAB

Asadi, et al.

International Journal of Advanced and Applied Sciences

Int. j. adv. appl. sci.

EISSN: 2313-3724

Print ISSN: 2313-626X

Volume 4, Issue 6 (June 2017), Pages: 175-180

Title: Designing a PI controller for Cuk converter using converter dynamics toolbox for MATLAB

Author(s): Farzin Asadi ^1, *, Nurettin Abut ², Uzeyir Akca ³

Affiliation(s):

¹Mechatronics Engineering Department, Kocaeli University, Kocaeli, Turkey
²Electrical Engineering Department, Kocaeli University, Kocaeli, Turkey
³Kocaeli Vocational School, Kocaeli University, Kocaeli, Turkey

https://doi.org/10.21833/ijaas.2017.06.025

Full Text - PDF XML

Abstract:

This paper dedicated to study indirect control of Cuk converter. Cuk converter has a 4^th order non minimum phase transfer function. Extraction of converter’s dynamical equation is not an easy task with pencil-and-paper analysis. Converter’s dynamical equations are obtained using “Kocaeli university’s converter dynamics toolbox for MATLAB^® “developed in Kocaeli university’s power electronics research group. Presence of Right Half Plane (RHP) zeros force us to use two feedback loops. Controllers are designed for this two loops using MATLAB’s control system toolbox. Close loop system is tested in Simulink^® environment. Simulation results showed the performance of designed controller.

This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

Keywords: Cuk converter, Feedback control, Non minimum phase system, State space averaging

Article History: Received 6 January 2017, Received in revised form 29 April 2017, Accepted 2 May 2017

Digital Object Identifier:

https://doi.org/10.21833/ijaas.2017.06.025

Citation:

Asadi F, Abut N, and Akca U (2017). Designing a PI controller for Cuk converter using converter dynamics toolbox for MATLAB. International Journal of Advanced and Applied Sciences, 4(6): 175-180

http://www.science-gate.com/IJAAS/V4I6/Asadii.html

References:

Alkrunz M and Yazıcı I (2016). Design of discrete time controllers for the DC-DC boost converter. SAÜ Fen Bilimleri Enstitüsü Dergisi, 20 (1): 75-82. Available online at: http://dergipark.gov.tr/saufenbilder/issue/20706/221215

Cuk S and Middlebrook R (1977). A general unified approach to modelling switching dc-to-dc converters in discontinuous conduction mode. In the 1977 IEEE Conference on Power Electronics Specialists, IEEE, Palo Alto, USA: 36-57. https://doi.org/10.1109/PESC.1977.7070802

Hren A and Slibar P (2005). Full order dynamic model of SEPIC converter. In the IEEE International Conference on Industrial Electronics, IEEE. Palo Alto, USA: 2: 553-558. https://doi.org/10.1109/isie.2005.1528977

Kislovski AS, Redl R, and Sokal NO (1991). Dynamic analysis of switching-mode DC/DC converters. Design Automation Inc., Lexington, USA. https://doi.org/10.1007/978-94-011-7849-5

Maksimovic D, Stankovic AM, Thottuvelil VJ, and Verghese GC (2001). Modeling and simulation of power electronic converters. Proceedings of the IEEE, 89(6): 898-912. https://doi.org/10.1109/5.931486

Middlebrook RD and Cuk S (1977). A general unified approach to modelling switching-converter power stages. International Journal of Electronics Theoretical and Experimental, 42(6): 521-550. https://doi.org/10.1080/00207217708900678

Mohan N and Undeland TM (2007). Power electronics: Converters, applications, and design. John Wiley & Sons, New York, USA.

Ocilka M and Béreš T (2010). State space controller for bidirectional dc-dc converter buck mode. In the 10th Scientific Conference of Young Researchers, Kosice, Slovakia. Available online at: http://www.web.tuke.sk/scyr/data/upload/1268677728.pdf

Reddy PRK, Kumar SG, Sandeep K, and Arun N (2015). LMI control of conventional boost converter. Indian Journal of Science and Technology, 8(S2): 50-52. https://doi.org/10.17485/ijst/2015/v8iS2/58415

Rodriguez H, Ortega R, and Astolfi A (2005). Adaptive partial state feedback control of the DC-to-DC Cuk converter. In the Conference of American Control, IEEE. Portland, USA: 5121-5126. https://doi.org/10.1109/acc.2005.1470832

Sanders SR, Varghese GC, and Cameron DF (1986). Nonlinear control laws for switching power converters. In the 25th IEEE Conference on Decision and Control, IEEE, Athens, Greece: 25: 46-53. https://doi.org/10.1109/cdc.1986.267131

Sira-Ramirez H (1987). Sliding motions in bilinear switched networks. IEEE Transactions on Circuits and Systems, 34(8): 919-933. https://doi.org/10.1109/TCS.1987.1086242

Sun J, Mitchell DM, Greuel MF, Krein PT, and Bass RM (2001). Averaged modeling of PWM converters operating in discontinuous conduction mode. IEEE Transactions on Power Electronics, 16(4): 482-492. https://doi.org/10.1109/63.931052

Suntio T (2006). Unified average and small-signal modeling of direct-on-time control. IEEE Transactions on Industrial Electronics, 53(1): 287-295. https://doi.org/10.1109/TIE.2005.862221

Veenalakshmi S, Pugazhenthi PN, and Selvaperumal S (2014). Power electronics and integrated control circuits. In: Selvaperumal S, Nagarajan R, and Pugazhenthi N (Eds.), Applied Mechanics and Materials, 573: 161-166. Trans Tech Publications, Zurich, Switzerland.

Venkatanarayanan S and Saravanan M (2014). Proportion integral control for SEPIC converter. Reseach Journal of Applied Sciences Engineering and Technology, 8(5): 623-629. https://doi.org/10.19026/rjaset.8.1014

Voperian V (1990). Simplified analysis of PWM converters using model of PWM switch. Continuous conduction mode. IEEE Transactions on Aerospace and Electronic Systems, 26(3):490-505. https://doi.org/10.1109/7.106126