State-space Modelling and Digital Controller Design for DC-DC Converter

Oladimeji Ibrahim, Nor Zaihar Yahaya, Nordin Saad

Abstract


The recent development in digital technology offers better platform for easy implementation of advance control algorithm in power converter design making digital control a viable alternative to analogue counterpart. Controller design for power converters has been very challenging due to non-linear characteristics of power switches, the supply voltage variability, load current changes and circuit element variation. This paper presents dynamic averaged state-space modelling of non-ideal dc-dc boost converter with parasitic and digital controller design for boost converter using digital redesign and direct digital design methods. The system was simulated in Matlab/Simulink to investigate the dynamic performance of the two controllers’ transient response, control bandwidth and response to variable supply voltage. The results demonstrated fast transient and wide control bandwidth for tight voltage regulation of variable input voltage.


Keywords


dc-dc converter, state-space model, digital compensator, closed loop response, control bandwidth

Full Text:

PDF

References


S. Chakraborty, M. G. Simões, and W. E. Kramer, Power Electronics for Renewable and Distributed Energy Systems: Springer, 2013.

J. M. Carrasco, L. G. Franquelo, J. T. Bialasiewicz, E. Galván, R. P. Guisado, M. A. Prats, et al., "Power-electronic systems for the grid integration of renewable energy sources: A survey," Industrial Electronics, IEEE Transactions on, vol. 53, pp. 1002-1016, 2006.

O. Ibrahim, N. Yahaya, N. Saad, and K. Ahmed, "Design and Analysis of a Digital Controller for Boost Converter with Renewable Energy Sources for Domestic DC Load," in Applied Mechanics and Materials, 2015, pp. 141-145.

M. Rashid and C. Press, Power Electronics Handbook. Devices, Circuits, and Applications, 2010.

N. Kularatna, Power electronics design handbook: low-power components and applications: Newnes, 1998.

S. Ang and A. Oliva, Power-switching converters: CRC press, 2005.

H.-H. Park and G.-H. Cho, "A DC–DC Converter for a Fully Integrated PID Compensator With a Single Capacitor," Circuits and Systems II: Express Briefs, IEEE Transactions on, vol. 61, pp. 629-633, 2014.

S. Kapat and P. T. Krein, "Formulation of pid control for dc–dc converters based on capacitor current: A geometric context," Power Electronics, IEEE Transactions on, vol. 27, pp. 1424-1432, 2012.

Y. I. Son and I. H. Kim, "Complementary PID controller to passivity-based nonlinear control of boost converters with inductor resistance," Control Systems Technology, IEEE Transactions on, vol. 20, pp. 826-834, 2012.

L. Balogh, "A practical introduction to digital power supply control," Texas Instruments Incorporated, pp. 6-1, 2005.

C. Buccella, C. Cecati, and H. Latafat, "Digital control of power converters—A survey," Industrial Informatics, IEEE Transactions on, vol. 8, pp. 437-447, 2012.

Y.-F. Liu and P. Sen, "Digital control of switching power converters," in Control Applications, 2005. CCA 2005. Proceedings of 2005 IEEE Conference on, 2005, pp. 635-640.

A. Prodic and D. Maksimovic, "Design of a digital PID regulator based on look-up tables for control of high-frequency DC-DC converters," in Computers in Power Electronics, 2002. Proceedings. 2002 IEEE Workshop on, 2002, pp. 18-22.

S. Saggini, E. Orietti, P. Mattavelli, A. Pizzutelli, and A. Bianco, "Fully-digital hysteretic voltage-mode control for dc-dc converters based on asynchronous sampling," in Applied Power Electronics Conference and Exposition, 2008. APEC 2008. Twenty-Third Annual IEEE, 2008, pp. 503-509.

C. Nwosu and M. Eng, "State-Space Averaged Modeling of a Nonideal Boost Converter," The pacific journal of science and Technology, vol. 9, p. 302, 2008.

V. Jha and P. Rai, "State Space Averaged Modeling of Basic Converter Topologies," VSRD International Journal of Electrical, Electronics & Communication Engineering, vol. 2, pp. 566-575, 2012.

A. Prodic, D. Maksimovic, and R. W. Erickson, "Design and implementation of a digital PWM controller for a high-frequency switching DC-DC power converter," in Industrial Electronics Society, 2001. IECON'01. The 27th Annual Conference of the IEEE, 2001, pp. 893-898.

Y. Duan and K. Jin, "Digital controller design for switchmode power converters," in Applied Power Electronics Conference and Exposition, 1999. APEC'99. Fourteenth Annual, 1999, pp. 967-973.

K. J. Aström and T. Hägglund, "PID controllers: theory, design and tuning," 1995.

K. J. Åström and T. Hägglund, Advanced PID control: ISA-The Instrumentation, Systems, and Automation Society; Research Triangle Park, NC 27709, 2006.

G. F. Franklin, J. D. Powell, and A. Emami-Naeini, "Feedback control of dynamics systems," Addison-Wesley, Reading, MA, 1994.




DOI: http://doi.org/10.12928/telkomnika.v14i2.3042

Refbacks

  • There are currently no refbacks.


Creative Commons License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

TELKOMNIKA Telecommunication, Computing, Electronics and Control
ISSN: 1693-6930, e-ISSN: 2302-9293
Universitas Ahmad Dahlan, 4th Campus
Jl. Ringroad Selatan, Kragilan, Tamanan, Banguntapan, Bantul, Yogyakarta, Indonesia 55191
Phone: +62 (274) 563515, 511830, 379418, 371120
Fax: +62 274 564604

View TELKOMNIKA Stats