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Buck-Boost DC-DC Converter Control by Using the Extracted Model from Signal Flow Graph Method

Year 2015, Volume: 3 Issue: 3, 155 - 160, 29.06.2015
https://doi.org/10.18100/ijamec.04927

Abstract

In this paper, the signal flow graph technique and Mason gain formula are applied for extracting the model and transfer functions from control to output and from input to output of a buck-boost converter. In order to investigate a controller necessity for the converter of assumed parameters, the frequency and time domain analysis are done and the open loop system characteristics are verified and the needed closed loop controlled system specifications are determined. Finally designing a controller for the mentioned converter system based on the extracted model is discussed. Then, a modern control design method is employed for regulator design. For this purpose, a full state feedback control for pole placement is applied. The simulation results are used to show the performance of the proposed modeling and regulation method.

References

  • M. H. Rashid, “Power electronics handbook,” Elsevier Academic Press, 2001.
  • X. Wei, K.M. Tsang, and W.L. Chan, “DC/DC buck converter using internal model control,” Journal of Electr. Power Compo. Sys., vol. 37, no. 3, pp. 320-330, 2009.
  • K.P. Yalamanchili, M. Ferdowsi, Sh. Lu, P. Xiao, and K. Corzine, “Derivation of double-input dc-dc power electronic converters,” Journal of Electr. Power Compo. Sys., vol. 39, no. 5, pp. 478-490, 2011.
  • F.L. Luo and H. Ye, “Mathematical modeling for dc-dc converters,” IEEE Trans. Power Electron., vol. 22, no. 1, 2007.
  • R. Priewasser, “Modeling, control and digital implementation of dc-dc converters under variable switching frequency operation,” Ph.D. Thesis, Klagenfurt university, 2012.
  • S. Kapat, “Control methods for improving the performance of dc-dc converters,” Ph.D. Thesis, Kharagpur, India, Jul. 2009.
  • L.K. Wong and T.K. Man, “Small signal modeling of open-loop SEPIC converters,” IET Power Electron., vol. 3, no. 6, pp. 858-868, May 2010.
  • H. Mashinchi Mahery and E. Babaei, “Mathematical modeling of buck–boost dc–dc converter and investigation of converter elements on transient and steady state responses,” Electr. Power and Ener. Sys., vol. 44, pp. 949-963, 2013.
  • E. Babaei and H. Mashinchi Maheri, “Analytical solution for steady and transient states of buck dc–dc converter in CCM,” Arab. Journal Sci. and Eng., vol. 38, no. 12, pp. 3383-3397, 2013.
  • M. Veerachary, “General rules for signal flow graph modeling and analysis of dc-dc converters,” IEEE Trans. Aerospace Electron. Sys., vol. 40, no. 1, pp. 259–271, Jan. 2004.
  • M. Veerachary, “Signal flow graph modeling of cascade boost converters,” in Proc. PESC, 2003, vol. 2, pp. 606-609.
  • M. Veerachary, “Signal flow graph modeling of multi-state boost dc–dc converters,” in Proc. IEE -Electr. Power Appl., vol. 151, no. 5, pp. 583-589, Sep. 2004.
  • K. Smedley and S. Cuk, “Switching flow-graph nonlinear modeling technique,” IEEE Trans. Power Electron., vol. 9, no. 4, pp. 1-1, Jul. 1994.
  • M. Veerachary, “Analysis of fourth-order dc-dc converters: A flow graph approach,” IEEE Trans. Ind. Electron., vol. 55, no. 1, pp. 133-141, Jan. 2008.
  • M. Veerachary, T. Senjyu and K. Uezato, “Signal flow graph nonlinear modeling analysis of IDB converter,” in Proc. ISIE, 2001, Pusan, Korea, pp. 1066-1070.
  • R. T. Stefani, B. Shahian, C. J. Savant, Jr., and G. H. Hostetter, “Design of feedback control systems,” 4th ed. New York, NY: Oxford University Press, 2002.

Original Research Paper

Year 2015, Volume: 3 Issue: 3, 155 - 160, 29.06.2015
https://doi.org/10.18100/ijamec.04927

Abstract

References

  • M. H. Rashid, “Power electronics handbook,” Elsevier Academic Press, 2001.
  • X. Wei, K.M. Tsang, and W.L. Chan, “DC/DC buck converter using internal model control,” Journal of Electr. Power Compo. Sys., vol. 37, no. 3, pp. 320-330, 2009.
  • K.P. Yalamanchili, M. Ferdowsi, Sh. Lu, P. Xiao, and K. Corzine, “Derivation of double-input dc-dc power electronic converters,” Journal of Electr. Power Compo. Sys., vol. 39, no. 5, pp. 478-490, 2011.
  • F.L. Luo and H. Ye, “Mathematical modeling for dc-dc converters,” IEEE Trans. Power Electron., vol. 22, no. 1, 2007.
  • R. Priewasser, “Modeling, control and digital implementation of dc-dc converters under variable switching frequency operation,” Ph.D. Thesis, Klagenfurt university, 2012.
  • S. Kapat, “Control methods for improving the performance of dc-dc converters,” Ph.D. Thesis, Kharagpur, India, Jul. 2009.
  • L.K. Wong and T.K. Man, “Small signal modeling of open-loop SEPIC converters,” IET Power Electron., vol. 3, no. 6, pp. 858-868, May 2010.
  • H. Mashinchi Mahery and E. Babaei, “Mathematical modeling of buck–boost dc–dc converter and investigation of converter elements on transient and steady state responses,” Electr. Power and Ener. Sys., vol. 44, pp. 949-963, 2013.
  • E. Babaei and H. Mashinchi Maheri, “Analytical solution for steady and transient states of buck dc–dc converter in CCM,” Arab. Journal Sci. and Eng., vol. 38, no. 12, pp. 3383-3397, 2013.
  • M. Veerachary, “General rules for signal flow graph modeling and analysis of dc-dc converters,” IEEE Trans. Aerospace Electron. Sys., vol. 40, no. 1, pp. 259–271, Jan. 2004.
  • M. Veerachary, “Signal flow graph modeling of cascade boost converters,” in Proc. PESC, 2003, vol. 2, pp. 606-609.
  • M. Veerachary, “Signal flow graph modeling of multi-state boost dc–dc converters,” in Proc. IEE -Electr. Power Appl., vol. 151, no. 5, pp. 583-589, Sep. 2004.
  • K. Smedley and S. Cuk, “Switching flow-graph nonlinear modeling technique,” IEEE Trans. Power Electron., vol. 9, no. 4, pp. 1-1, Jul. 1994.
  • M. Veerachary, “Analysis of fourth-order dc-dc converters: A flow graph approach,” IEEE Trans. Ind. Electron., vol. 55, no. 1, pp. 133-141, Jan. 2008.
  • M. Veerachary, T. Senjyu and K. Uezato, “Signal flow graph nonlinear modeling analysis of IDB converter,” in Proc. ISIE, 2001, Pusan, Korea, pp. 1066-1070.
  • R. T. Stefani, B. Shahian, C. J. Savant, Jr., and G. H. Hostetter, “Design of feedback control systems,” 4th ed. New York, NY: Oxford University Press, 2002.
There are 16 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Leila Mohammadian This is me

Ebrahim Babaei

Mohammad Bagher Bannae Sharifian This is me

Publication Date June 29, 2015
Published in Issue Year 2015 Volume: 3 Issue: 3

Cite

APA Mohammadian, L., Babaei, E., & Bannae Sharifian, M. B. (2015). Buck-Boost DC-DC Converter Control by Using the Extracted Model from Signal Flow Graph Method. International Journal of Applied Mathematics Electronics and Computers, 3(3), 155-160. https://doi.org/10.18100/ijamec.04927
AMA Mohammadian L, Babaei E, Bannae Sharifian MB. Buck-Boost DC-DC Converter Control by Using the Extracted Model from Signal Flow Graph Method. International Journal of Applied Mathematics Electronics and Computers. June 2015;3(3):155-160. doi:10.18100/ijamec.04927
Chicago Mohammadian, Leila, Ebrahim Babaei, and Mohammad Bagher Bannae Sharifian. “Buck-Boost DC-DC Converter Control by Using the Extracted Model from Signal Flow Graph Method”. International Journal of Applied Mathematics Electronics and Computers 3, no. 3 (June 2015): 155-60. https://doi.org/10.18100/ijamec.04927.
EndNote Mohammadian L, Babaei E, Bannae Sharifian MB (June 1, 2015) Buck-Boost DC-DC Converter Control by Using the Extracted Model from Signal Flow Graph Method. International Journal of Applied Mathematics Electronics and Computers 3 3 155–160.
IEEE L. Mohammadian, E. Babaei, and M. B. Bannae Sharifian, “Buck-Boost DC-DC Converter Control by Using the Extracted Model from Signal Flow Graph Method”, International Journal of Applied Mathematics Electronics and Computers, vol. 3, no. 3, pp. 155–160, 2015, doi: 10.18100/ijamec.04927.
ISNAD Mohammadian, Leila et al. “Buck-Boost DC-DC Converter Control by Using the Extracted Model from Signal Flow Graph Method”. International Journal of Applied Mathematics Electronics and Computers 3/3 (June 2015), 155-160. https://doi.org/10.18100/ijamec.04927.
JAMA Mohammadian L, Babaei E, Bannae Sharifian MB. Buck-Boost DC-DC Converter Control by Using the Extracted Model from Signal Flow Graph Method. International Journal of Applied Mathematics Electronics and Computers. 2015;3:155–160.
MLA Mohammadian, Leila et al. “Buck-Boost DC-DC Converter Control by Using the Extracted Model from Signal Flow Graph Method”. International Journal of Applied Mathematics Electronics and Computers, vol. 3, no. 3, 2015, pp. 155-60, doi:10.18100/ijamec.04927.
Vancouver Mohammadian L, Babaei E, Bannae Sharifian MB. Buck-Boost DC-DC Converter Control by Using the Extracted Model from Signal Flow Graph Method. International Journal of Applied Mathematics Electronics and Computers. 2015;3(3):155-60.