Boundaries between fast‐ and slow‐scale bifurcations in parallel‐connected buck converters

Huang, Yuehui; Iu, Herbert Ho Ching; Tse, Chi Kong

doi:10.1002/cta.454

Cited by 23 publications

(8 citation statements)

References 29 publications

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“…This fixed-frequency PWM behavior makes it possible to find nonlinear maps that describe the current state of the circuit as a function of the state in the previous period [3][4][5]. It has been widely demonstrated in the literature [6][7][8][9][10][11][12][13][14][15][16] that these nonlinear discrete-time models are more versatile to describe the appearance of different dynamical scenarios (e.g. period-doubling bifurcations, Neimark-Sacker bifurcations, discontinuity-induced bifurcations and even chaos) detected in the practice.…”

Section: Introductionmentioning

confidence: 99%

Influence of period‐doubling bifurcations in the appearance of border collisions for a ZAD‐strategy‐controlled buck converter

D’Amico

Angulo

Olivar

et al. 2010

Circuit Theory & Apps

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SUMMARYThe first period-doubling bifurcation of a dc-dc buck converter controlled by a zero-average dynamic strategy is studied in detail. Owing to the saturation of the duty cycle, this bifurcation is followed by a border-collision bifurcation, which is the main mechanism to introduce instability and chaos in the circuit. The multiparameter analysis presented here leads to a complete knowledge of the relatioship between these two bifurcations. The results are obtained by using a frequency-domain approach for the study of period-two oscillations in maps.

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Section: Introductionmentioning

confidence: 99%

Influence of period‐doubling bifurcations in the appearance of border collisions for a ZAD‐strategy‐controlled buck converter

D’Amico

Angulo

Olivar

et al. 2010

Circuit Theory & Apps

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“…where T i2 is the current loop gain for the Norton source converter andî L2 /d 2 is shown in Equation (5). With the parameters shown in Table I and F m2 = 4 V −1 , the Bode plot of G 2 is shown in Figure 11, where the low DC gain is observed due to the use of peak-current-mode control.…”

Section: With Current-sharingmentioning

confidence: 98%

“…Paralleling converters have several advantages over the use of a single high-power centralized power supply, such as reduced component stresses, increased reliability, ease of maintenance and repair, improved thermal management, etc. [1][2][3][4][5]. Furthermore,…”

Section: Introductionmentioning

confidence: 95%

Circuit theory of paralleling switching converters

Huang

Tse

2008

Circuit Theory & Apps

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SUMMARYThis paper studies the various paralleling styles for dc-dc switching converters from a circuit theoretic viewpoint. The study begins with a systematic classification of the types of parallel-connected dc-dc converters. In the classification, converters are modeled as current sources or voltage sources. From Kirchhoff's laws, the possible connection styles for paralleling current sources and voltage sources are derived, leading to the identification of three types of configurations for paralleling dc-dc converters. Then, control arrangements are classified according to the presence of current-sharing and voltage-regulation loops. Moreover, detailed operating principles with and without a current-sharing loop for the three basic paralleling connections to obtain both current sharing and voltage regulation are given. Applying smallsignal analysis to the practical circuits, the inherent characteristics of each scheme are expounded. The roles of the current-sharing loop and origins of current-sharing errors are highlighted. Characteristics for all the schemes are obtained in terms of their performances in current sharing and voltage regulation. Finally, an experiment prototype is built to validate the analysis. The results clearly show the properties of the various paralleling schemes.

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“…On the one hand, there have been many research efforts devoted to stand-alone and paralleled dc-dc converters [21] using non-linear techniques. Many researchers have investigated cascaded converters using conventional linear techniques [22][23][24][25].…”

Section: Research Articlementioning

confidence: 99%

Complex non‐linear phenomena and stability analysis of interconnected power converters used in distributed power systems

Aroudi

Giaouris

Mandal

et al. 2016

IET Power Electronics

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Distributed power systems are considered to be a key element of future power grids. Their main characteristic is the local production and consumption of energy that is accomplished using a number of power converters that interconnect local sources and loads. In this paper, a current mode controlled dc-dc converter which feeds another current mode controlled dc-dc converter is considered to meet the demands of the load. It shows that the existence of the second converter at the output has destabilising effect on the overall system. Such a system may also exhibit interactions of various types of instability that conventional modeling methods cannot predict. Slow-timescale oscillation in standalone switching converters is usually attributed to the occurrence of a Neimark-Sacker bifurcation of the fundamental periodic orbit of the discrete-time model of the system. But in the studied cascaded system, the underlying mechanism is quite different. This paper fully explains the mechanisms as well as the conditions of the occurrence of such instabilities by employing the analytical and numerical tools of the exact switched model of the system. These results can be useful for developing design guidelines to avoid such problems. Finally, the results have been validated experimentally.

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Boundaries between fast‐ and slow‐scale bifurcations in parallel‐connected buck converters

Cited by 23 publications

References 29 publications

Influence of period‐doubling bifurcations in the appearance of border collisions for a ZAD‐strategy‐controlled buck converter

Influence of period‐doubling bifurcations in the appearance of border collisions for a ZAD‐strategy‐controlled buck converter

Circuit theory of paralleling switching converters

Complex non‐linear phenomena and stability analysis of interconnected power converters used in distributed power systems

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