IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v42y2009i3p1378-1387.html
   My bibliography  Save this article

Controlling DC–DC converters by chaos-based pulse width modulation to reduce EMI

Author

Listed:
  • Li, Hong
  • Zhang, Bo
  • Li, Zhong
  • Halang, Wolfgang A.
  • Chen, Guanrong

Abstract

In this paper, periodic and chaotic behaviors of DC–DC converters under certain parametric conditions are simulated, experimentally verified, and analyzed. Motivated by the work of J.H.B. Deane and D.C. Hamill in 1996, where chaotic phenomena are useful in suppressing electromagnetic interference (EMI) by adjusting the parameters of the DC–DC converter and making it operate in chaos, a chaos-based pulse width modulation (CPWM) is proposed to distribute the harmonics of the DC–DC converters continuously and evenly over a wide frequency range, thereby reducing the EMI. The output waves and spectral properties of the EMI are simulated and analyzed as the carrier frequency or amplitude changes with regard to different chaotic maps. Simulation and experimental results are given to illustrate the effectiveness of the proposed CPWM, which provides a good example of applying chaos theory in engineering practice.

Suggested Citation

  • Li, Hong & Zhang, Bo & Li, Zhong & Halang, Wolfgang A. & Chen, Guanrong, 2009. "Controlling DC–DC converters by chaos-based pulse width modulation to reduce EMI," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1378-1387.
  • Handle: RePEc:eee:chsofr:v:42:y:2009:i:3:p:1378-1387
    DOI: 10.1016/j.chaos.2009.03.045
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077909001313
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2009.03.045?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Cafagna, D. & Grassi, G., 2005. "Experimental study of dynamic behaviors and routes to chaos in DC–DC boost converters," Chaos, Solitons & Fractals, Elsevier, vol. 25(2), pages 499-507.
    2. Dai, Dong & Ma, Yue & Tse, Chi K. & Ma, Xikui, 2005. "Existence of horseshoe maps in current-mode controlled buck-boost dc/dc converters," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 549-556.
    3. Ruzbehani, Mohsen & Zhou, Luowei & Wang, Mingyu, 2006. "Bifurcation diagram features of a dc–dc converter under current-mode control," Chaos, Solitons & Fractals, Elsevier, vol. 28(1), pages 205-212.
    4. Natsheh, Ammar N. & Kettleborough, J. Gordon & Janson, Natalia B., 2009. "Experimental study of controlling chaos in a DC–DC boost converter," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2500-2508.
    5. Angulo, Fabiola & Olivar, Gerard & Taborda, Alexander, 2008. "Continuation of periodic orbits in a ZAD-strategy controlled buck converter," Chaos, Solitons & Fractals, Elsevier, vol. 38(2), pages 348-363.
    6. Wen, Guilin & Xu, Daolin, 2005. "Nonlinear observer control for full-state projective synchronization in chaotic continuous-time systems," Chaos, Solitons & Fractals, Elsevier, vol. 26(1), pages 71-77.
    7. Natsheh, Ammar N. & Kettleborough, J. Gordon & Nazzal, Jamal M., 2009. "Analysis, simulation and experimental study of chaotic behaviour in parallel-connected DC–DC boost converters," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2465-2476.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Jiri Petrzela, 2022. "Chaos in Analog Electronic Circuits: Comprehensive Review, Solved Problems, Open Topics and Small Example," Mathematics, MDPI, vol. 10(21), pages 1-28, November.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Gavagsaz-Ghoachani, R. & Phattanasak, M. & Martin, J.-P. & Pierfederici, S. & Davat, B., 2013. "Predicting the onset of bifurcation and stability study of a hybrid current controller for a boost converter," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 91(C), pages 262-273.
    2. Miranda, Manuel & Alvarez, Joaquin, 2009. "Bifurcations and chaos produced by the modulation signal in a PWM buck converter," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2260-2271.
    3. Ruzbehani, Mohsen & Zhou, Luowei & Wang, Mingyu, 2006. "Bifurcation diagram features of a dc–dc converter under current-mode control," Chaos, Solitons & Fractals, Elsevier, vol. 28(1), pages 205-212.
    4. Milicevic, K. & Pelin, D. & Flegar, I., 2008. "Measurement system for model verification of nonautonomous second-order nonlinear systems," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 939-948.
    5. Xu, Yuhua & Zhou, Wuneng & Fang, Jian-an, 2009. "Hybrid dislocated control and general hybrid projective dislocated synchronization for the modified Lü chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1305-1315.
    6. Blackmore, Denis & Rahman, Aminur & Shah, Jigar, 2009. "Discrete dynamical modeling and analysis of the R–S flip-flop circuit," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 951-963.
    7. Natsheh, Ammar N. & Kettleborough, J. Gordon & Janson, Natalia B., 2009. "Experimental study of controlling chaos in a DC–DC boost converter," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2500-2508.
    8. Li, Guo-Hui, 2006. "Projective synchronization of chaotic system using backstepping control," Chaos, Solitons & Fractals, Elsevier, vol. 29(2), pages 490-494.
    9. Li, Guo-Hui, 2007. "Generalized projective synchronization between Lorenz system and Chen’s system," Chaos, Solitons & Fractals, Elsevier, vol. 32(4), pages 1454-1458.
    10. Grassi, Giuseppe & Miller, Damon A., 2009. "Arbitrary observer scaling of all chaotic drive system states via a scalar synchronizing signal," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1246-1252.
    11. Lien, Chang-Hua & Cheng, Wen-Chin & Tsai, Che-Hung & Yu, Ker-Wei, 2007. "Non-fragile observer-based controls of linear system via LMI approach," Chaos, Solitons & Fractals, Elsevier, vol. 32(4), pages 1530-1537.
    12. Li, Guo-Hui & Zhou, Shi-Ping, 2006. "An observer-based anti-synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 29(2), pages 495-498.
    13. Lien, Chang-Hua, 2007. "H∞ non-fragile observer-based controls of dynamical systems via LMI optimization approach," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 428-436.
    14. Yuan, Quan & Li, Qingdu & Yang, Xiao-Song, 2009. "Horseshoe chaos in a class of simple Hopfield neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1522-1529.
    15. Shao, Shiquan, 2009. "Controlling general projective synchronization of fractional order Rossler systems," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1572-1577.
    16. Li, Guo-Hui, 2006. "Generalized projective synchronization of two chaotic systems by using active control," Chaos, Solitons & Fractals, Elsevier, vol. 30(1), pages 77-82.
    17. Li, Guo-Hui, 2007. "Modified projective synchronization of chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1786-1790.
    18. Jiri Petrzela, 2022. "Chaos in Analog Electronic Circuits: Comprehensive Review, Solved Problems, Open Topics and Small Example," Mathematics, MDPI, vol. 10(21), pages 1-28, November.
    19. Farivar, Faezeh & Shoorehdeli, Mahdi Aliyari & Nekoui, Mohammad Ali & Teshnehlab, Mohammad, 2009. "Generalized projective synchronization for chaotic systems via Gaussian Radial Basis Adaptive Backstepping Control," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 826-839.
    20. Grassi, Giuseppe, 2009. "Observer-based hyperchaos synchronization in cascaded discrete-time systems," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 1029-1039.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:42:y:2009:i:3:p:1378-1387. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.