Quantifying the Nonlinear Dynamic Behavior of the DC-DC Converter via Permutation Entropy

Luo, Zhenxiong; Xie, Fan; Zhang, Chao; Qiu, Dongyuan

doi:10.3390/en11102747

Cited by 4 publications

(4 citation statements)

References 24 publications

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“…Furthermore, in order to facilitate the subsequent division of stability parameter regions, it is necessary to characterize the stability of the system through quantitative analysis (Luo et al , 2018). The permutation entropy curve can be obtained as shown in Figure 11.…”

Section: The Coexistence Of Fast and Slow Time Scale Bifurcations Wit...mentioning

confidence: 99%

“…In addition, by observing the enlarged view of the eigenvalue trajectory at the bifurcation point, we can see that there are two branches of the periodic orbit here, which are the eigenvalue l 1 from left to right and the eigenvalue l 2 from right to left, indicating that the system will have double limit cycles in the bifurcation process. Furthermore, in order to facilitate the subsequent division of stability parameter regions, it is necessary to characterize the stability of the system through quantitative analysis (Luo et al, 2018). The permutation entropy curve can be obtained as shown in Figure 11.…”

Section: Dynamic Behavior Analysismentioning

confidence: 99%

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Dynamic behavior analysis of cascaded buck converter and boost converter system

Xie

Geng²,

Li³

et al. 2022

COMPEL

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Purpose Cascaded DC-DC converters system is the main structure of distributed power system, and it has complex nonlinear phenomena during operation, which affect the power quality. Therefore, the dynamic behavior of the cascaded buck converter and boost converter system, as one of the typical cascaded DC-DC converters systems is analyzed. Design/methodology/approach Firstly, the studied cascaded system of the buck converter with peak current control and the boost converter with PI current control is introduced and its discrete modeling is built. Then, the Jacobian matrix of the cascaded system is calculated to research the stability when the parameter change. Finally, simulation by PSIM and experiments are carried out to verify the theoretical analysis. Findings The coexistence of fast and slow time scale bifurcations with the changes of reference current and input voltage are studied in the cascaded system, and using simulation analysis to further study the sensitivity of the inductor current of the front-stage converter and back-stage converter to different parameters. Originality/value A discrete model of the cascaded buck converter and boost converter system is established, and its dynamic behavior is analyzed in detail for the first time.

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Section: The Coexistence Of Fast and Slow Time Scale Bifurcations Wit...mentioning

confidence: 99%

Section: Dynamic Behavior Analysismentioning

confidence: 99%

Dynamic behavior analysis of cascaded buck converter and boost converter system

Xie

Geng²,

Li³

et al. 2022

COMPEL

Self Cite

View full text Add to dashboard Cite

show abstract

“…It is a measure of uncertainty based on the explanatory content of a continuous or discrete variable [40]. The most used entropy measure is Shannon Entropy, which quantifies the expected value of a discrete random variable [41].…”

Section: Shannon Entropy Composite Indexmentioning

confidence: 99%

Modeling the Circular Economy Processes at the EU Level Using an Evaluation Algorithm Based on Shannon Entropy

Buṣu

Bușu

2018

Processes

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In this paper we propose a methodology to study circular economy processes based on mathematical modelling. In open-ended systems, waste could be converted back to recycling, transforming the economy from linear to circular. The concept of entropy and the second law of thermodynamics give the argument for a scale reduction of material circulation. As humans extract more and more energy and matter for the economy, the degree of entropy is likely to increase. Based on the findings of economic studies on the implications of industrialization in the case of growing economies, this study aims at evaluating circular economy processes at the European Union (EU) level using a Shannon-Entropy-based algorithm. An entropy-based analysis was conducted for the 28 European Union countries during the time frame 2007–2016. The modelling process consists of constructing a composite indicator which is composed of a weighted sum of all indicators developed by an algorithm based on Shannon Entropy. The weights assigned to each indicator in our analysis measure the significance of each indicator involved in the development of the composite indicator. The results are similar to the international rakings, consolidating and confirming the accuracy and reliability of this approach.

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“…However, it is commonly accepted that converters with PCM control are confronted with instability issues [4,5]. A wide variety of nonlinear dynamic phenomena, such as bifurcations and chaos, have been observed in these converters [6][7][8][9][10][11][12][13], which could deteriorate the performances of the converters, and are undesired in practice. As a result, the active duty ratio of PCM control in DC-DC converters is usually restricted in the range of (0, 1/2) in continuous-conduction-mode (CCM) and (0, 2/3) in discontinuous-conduction-mode (DCM) [14,15].…”

Section: Introductionmentioning

confidence: 99%

Improvement of Stability in a PCM-Controlled Boost Converter with the Target Period Orbit-Tracking Method

et al. 2019

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Thee peak-current-mode (PCM) control strategy is widely adopted in pulse width-modulated (PWM) DC-DC converters. However, the converters always involve a sub-harmonic oscillating state or chaotic state if the active duty ratio is beyond a certain range. Hence, an extra slope signal in the inductor-current loop is used to stabilize the operation of the converter. This paper presents a new technique for enlarging the stable range of PCM-controlled DC-DC converters, in which the concept of utilizing unstable period-1 orbit (UPO-1) of DC-DC converters is proposed and an implementation scenario based on the parameter-perturbation method is presented. With the proposed technique, perturbations are introduced to the reference current of the control loop, and the converters operating in a chaotic state can be tracked, and thus be stabilized to the target UPO-1. Therefore, the stable operating range of the converters is extended. Based on an example of a PCM-controlled boost converter, simulations are presented as a guide to a detailed implementation process of the proposed technique, and comparisons between the proposed technique and techniques in terms of ramp compensation are provided to show the differentiation in the performance of the converter. Experimental results in the work confirm the effectiveness of the proposed technique.

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Quantifying the Nonlinear Dynamic Behavior of the DC-DC Converter via Permutation Entropy

Cited by 4 publications

References 24 publications

Dynamic behavior analysis of cascaded buck converter and boost converter system

Dynamic behavior analysis of cascaded buck converter and boost converter system

Modeling the Circular Economy Processes at the EU Level Using an Evaluation Algorithm Based on Shannon Entropy

Improvement of Stability in a PCM-Controlled Boost Converter with the Target Period Orbit-Tracking Method

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