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Linear robust control of DC/DC converters: Part II – Random switching

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Abstract

In this paper, a design procedure for a random switching control in the closed loop is proposed, according to the criteria of robust performance and robust stability, by synthesizing dynamic control of linear robust theory and the random switching approach to EMI reduction. Different techniques of random control are investigated in order to reduce EMI problems in switching power-supply DC/DC devices. Narrow-band power around the switching frequency of the output voltage noise is proposed as a criterion for the quantification of EMI reduction using random control, as opposed to deterministic switching. Robust controllers are designed and applied in the closed loop. The optimal controller and the optimal random modulation are found. EMI reduction and dynamic properties of the control are verified using a nonlinear model of the buck DC/DC converter, which includes random switching effects.

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References

  1. Mohan N, Undeland TM, Robbins WP (1995) Power electronics. Wiley, New York

  2. Mitchell DM (1988) DC/DC switching regulator analysis. McGraw-Hill, New York

  3. CEN/CENELEC (1993) EN 50081: European Community Generic standards for EMC emission. CEN/CENELEC, Brussels

  4. Trzynadlowski AM, Blaabjerg F, Pedersen JK, Kirlin RL, Legowski S (1994) Random pulse width modulation techniques for converter-fed drive systems – a review. IEEE T Ind Appl 30(5):1166–1175

    Article  Google Scholar 

  5. Stanković AM, Verghese GC (1995) Analysis and synthesis of randomized modulation schemes for power converters. IEEE T Power Electr 10(6):680–693

    Article  Google Scholar 

  6. Bech MM, Blaabjerg F, Pedersen JK, Trzynadlowski AM (1998) A methodology for true comparison of analytical and measured frequency domain spectra in random PWM converters. In: Proc IEEE PESC (Power Electronics Specialists Conf), vol 1, 17–22 May 1998, Fukuoka, Japan, pp 36–43

  7. Stone DA, Chambers B, Howe D (1996) Easing EMC problems in switched mode power converters by random modulation of the PWM carrier frequency. In: Proc 11th IEEE APEC (Appl Power Electronics Conf) and Exposition, vol 1, 3–7 March 1996, San Jose, CA, pp 329–332

  8. Lynn Kirlin R, Trzynadlowski AM (1997) A unified approach to analysis and design of random pulsewidth modulation in voltage-source inverters. IEEE T Circuits I 44(8):763–766

    Article  Google Scholar 

  9. Lynn Kirlin R, Kwok S, Legowski S, Trzynadlowski AM (1994) Power spectra of a PWM inverter with randomized pulse position. IEEE T Power Electr 9(5):463–472

    Article  Google Scholar 

  10. Lynn Kirlin R, Trzynadlowski AM (1994) Spectral design of randomized pulse width modulation in DC to AC converters. Proc 7th IEEE Signal Processing Workshop on Statistical Signal and Array Processing, 26–29th June 1994, Quebec City, Canada, pp 387–391

  11. Tse KK, Chung HSH, Hui SYR, So HC (2000) A comparative investigation on the use of random modulation schemes for DC/DC converters. IEEE T Ind Appl 47(2):253–262

    Article  Google Scholar 

  12. Morari M, Zafiriou E (1989) Robust process control. Prentice Hall, New York

  13. Skogestad S, Postlethwaite I (1996) Multivariable feedback control. Wiley, Chichester, England

  14. Maciejowski JM (1989) Multivariable feedback design. Addison-Wesley, London

  15. Zhou K, Doyle J, Glover K (1996) Robust and optimal control. Prentice Hall, Englewood Cliffs, NJ

  16. McFarlane DC, Glover K (1990) Robust controller design using normalized coprime factor plant description. Springer, Berlin Heidelberg New York

  17. Petrović TB, Rakić AŽ (2003) Linear robust approach to DC/DC converter modeling: Part I – Deterministic switching. Electr Eng DOI 10.1007/s00202-003-0210-6

  18. Petrović TB, Rakić AŽ (2001) Modelling and robust controllers for deterministic switching DC/DC converters. In: Proc 11th Int Symp Power Electronics, 31 October–2 November 2001, Novi Sad, Serbia and Montenegro, pp 374–382

  19. Rakić AŽ, Petrović TB (2003) Linear robust approach to DC/DC converter modeling: Part II – Random switching. Electr Eng DOI 10.1007/s00202-003-0211-5

  20. Rakić AŽ, Petrović TB (2001) A robust approach to modeling of random switching DC/DC converters. J Automatic Control 11(1):73–90

    Google Scholar 

  21. Petrović TB, Rakić AŽ (2001) Robust modeling of random switching DC/DC converter (in Serbian), In: Proc XLV ETRAN Conf, 4–7 June 2001, Bukovička Banja-Arandjelovac, Yugoslavia, pp 233–236

  22. Rakić AŽ, Petrović TB (2001) Robust H∞ loop shaping controller of random switching DC/DC converters (in Serbian). In: Proc XLV ETRAN Conf, 4–7 June 2001, Bukovička Banja-Arandjelovac, Yugoslavia, pp 229–232

  23. Petrović TB, Rakić AŽ (2003) Linear robust control of DC/DC converters: Part I – Deterministic switching. Electr Eng DOI 10.1007/s00202-003-0222-2

  24. The MathsWorks Inc (1997) Simulink. The MathWorks Inc, Nantick, MA

  25. The MathsWorks Inc (1997) Signal Processing Toolbox. The MathWorks Inc, Nantick, MA

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Authors and Affiliations

  1. Control Department, Faculty of Electrical Engineering, University of Belgrade, Bulevar kralja Aleksandra 73, P.O. Box 35–54, 11120, Belgrade, Serbia and Montenegro

    A. Ž. Rakić & T. B. Petrović

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  1. A. Ž. Rakić
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  2. T. B. Petrović
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Correspondence to T. B. Petrović.

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Rakić, A.Ž., Petrović, T.B. Linear robust control of DC/DC converters: Part II – Random switching. Electr Eng 87, 69–76 (2005). https://doi.org/10.1007/s00202-003-0223-1

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  • DOI: https://doi.org/10.1007/s00202-003-0223-1

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