2012
DOI: 10.1155/2012/526394
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Quantization Effects on Period Doubling Route to Chaos in a ZAD-Controlled Buck Converter

Abstract: The quantization effect in transitions to chaos and periodic orbits is analyzed in this paper through a specific application, the zero-average-dynamics- (ZAD-) controlled buck power converter. Several papers have studied the quantization effects in the one periodic orbit and some authors have given guidelines to design digitally controlled power converter avoiding limit cycles. On the other hand many studies have been devoted to analyze the ZAD-controlled buck power converter, but these past studies did not in… Show more

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Cited by 5 publications
(6 citation statements)
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“…The variable structure systems switched via centered pulse width modulation (CPWM) present a great number of dynamic behaviors when the control parameters are changed. Some studies of the DC-DC buck converter [1,2] are obtained with analytical [3,4] numerical [5] and experimental results [6,7] all that for certain values of the parameters where instability, strange phenomena, chaos [8] period bands, and subharmonics are presented. Besides, one-period orbits and above were studied in [9], by using numerical simulation algorithms.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…The variable structure systems switched via centered pulse width modulation (CPWM) present a great number of dynamic behaviors when the control parameters are changed. Some studies of the DC-DC buck converter [1,2] are obtained with analytical [3,4] numerical [5] and experimental results [6,7] all that for certain values of the parameters where instability, strange phenomena, chaos [8] period bands, and subharmonics are presented. Besides, one-period orbits and above were studied in [9], by using numerical simulation algorithms.…”
Section: Introductionmentioning
confidence: 99%
“…Due to the discontinuous actions of the controller in conjunction with the global system, "chattering" appears increasing ripple and distortion at the output [10]. With the aim of reducing these problems and obtaining regulated signals at the output, the ZAD control technique (zero average dynamics) was proposed [5,[11][12][13] whereby using a sliding surface that is forced to have a zero average in each iteration. Herein, it considers the reference signal, the real value at the output, and its derivatives to calculate the duty cycle.…”
Section: Introductionmentioning
confidence: 99%
“…Numerical [17], analytical [18,19], and experimental tests were also performed to validate the different responses of DC-DC converters [20,21]. However, many of these works have been dedicated to showing the behavior of DC-DC converters, and only a few have focused on the design of DC-AC power converters.…”
Section: Introductionmentioning
confidence: 99%
“…Numerical [12], analytical [13], and experimental tests also were performed to validate the different responses of DC-DC converters [14]. However, many of these works are dedicated to show the behavior of DC-DC converters, and only a few for DC-AC converters.…”
Section: Introductionmentioning
confidence: 99%