By Bo Zhang

ISBN-10: 1118451007

ISBN-13: 9781118451007

Introduces chaos idea, its analytical equipment and the ability to use chaos to the switching energy provide design

DC-DC converters are usual switching platforms that have lots of nonlinear behaviors, corresponding to bifurcation and chaos. The nonlinear behaviors of DC-DC converters were studied seriously during the last two decades, but researchers are nonetheless uncertain of the sensible program of bifurcations and chaos in switching converters. The electromagnetic interference (EMI), which resulted from the excessive premiums of alterations of voltage and present, has develop into a massive layout criterion in DC-DC converters because of broad purposes of varied digital units in and way of life, and the query of the way to minimize the aggravating, destructive EMI has attracted a lot examine curiosity. This e-book specializes in the research and alertness of chaos to minimize damaging EMI of DC-DC converters.   

After a overview of the basics of chaos behaviors of DC-DC converters, the authors current a few contemporary findings corresponding to Symbolic Entropy, Complexity and Chaos aspect technique, to research the characters of chaotic DC-DC converters. utilizing those tools, the statistic characters of chaotic DC-DC converters are extracted and the rules for the subsequent researches of chaotic EMI suppression are strengthened. the point of interest then transfers to estimating the ability spectral density of chaotic PWM converters at the back of an advent of easy rules of spectrum research and chaotic PWM procedure. Invariant Density, and Prony and Wavelet research equipment are steered for estimating the facility spectral density of chaotic PWM converters.  eventually, a few design-oriented functions supply a very good instance of utilising chaos conception in engineering perform, and illustrate the effectiveness on suppressing EMI of the proposed chaotic PWM. 

  • Introduces chaos thought, its analytical equipment and the potential to use chaos to the switching energy offer design
  • Approaches the topic in a scientific demeanour from interpreting technique, chaotic phenomenon and EMI features, analytical equipment for chaos, and utilizing chaos to minimize EMI (electromagnetic interference)
  • Highlights complex study paintings within the fields of statistic characters of nonlinear behaviors and chaotic PWM expertise to suppress EMI of switching converters
  • Bridges the space among numerical idea and real-world functions, permitting strength electronics designers to either study the results of chaos and leverage those results to minimize EMI

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Extra resources for Chaos Analysis and Chaotic EMI Suppression of DC-DC Converters

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1994) Flip bifurcation and chaos in a three-state Boost switching regulators. IEEE Trans. Circuits Syst. I, 41(1), 16–23. K. (1994) Chaos from a Buck switching regulator operating in discontinuous mode. Int. J. , 22(4), 263–278. C. K. (2001) Bifurcation behaviour in parallel-connected Buck converters. IEEE Trans. Circuit Syst. I, 48(2), 233–240. , Kousaka, T. and Kawakami, H. (2005) Connecting border collision with saddle-node bifurcation in switched dynamical systems. IEEE Trans. Circuit Syst.

1994) Dynamical Systems with Saturation Nonlinearities, Springer-Verlag Press. M. M. (2009) Study and Application of Bifurcation and Chaos Behavior of Power Electronic Converters Based on Discrete System Dynamics(in Chinese), South China University of Technology, Guangzhou. C. (2000) Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers, 2nd edn, Oxford University Press. , Hu, Q. M. (1985) Noise and chaos in a fractal basin boundary regime of a Josephson junction. Phys. Rev.

Many problems in linear systems theory have been solved using readily available mathematical tools. On the other hand, periodic solutions of nonlinear system are rarely known analytically. But, the study of nonlinear systems is important because almost every real system contains nonlinearities of one form or another [38]. Although there are types of nonlinear systems in mathematics and practical engineering, we will focus on piecewise linear systems because DC–DC converters are naturally modeled as piecewise smooth systems.

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