Modeling and analysis of fractional order DC-DC converter

Radwan, Ahmed G.; Emira, Ahmed; AbdelAty, Amr M.; Azar, Ahmad Taher

doi:10.1016/j.isatra.2017.06.024

Cited by 76 publications

(53 citation statements)

References 29 publications

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“…Tabularized numerical values provided in each sub-section represent complete knowledge about behavior of developed wideband CPE in the form of RC passive-only ladder structure. Values provided for resistors and capacitors are calculated using algorithm described in fundamental papers [34,35] and rounded conveniently. Then, location of first and last zero-pole pair is slightly adjusted to enhance approximation bandwidth as much as possible.…”

Section: Wideband Cpe Dedicated For Lumped Chaotic Oscillatorsmentioning

confidence: 99%

“…A different approach to regulation is shown in [33], where FO, ID, and combined ID control is associated with input impedances of two-terminal devices. A practical example, namely FO feedback control of dc motor or modeling of dc-dc-converter behavior, is described in works [34,35], respectively. A list of potential applications of FO elements mentioned above is by no means complete.…”

Section: Introductionmentioning

confidence: 99%

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Fractional-Order Chaotic Memory with Wideband Constant Phase Elements

Petržela

2020

Entropy

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This paper provides readers with three partial results that are mutually connected. Firstly, the gallery of the so-called constant phase elements (CPE) dedicated for the wideband applications is presented. CPEs are calculated for 9° (decimal orders) and 10° phase steps including ¼, ½, and ¾ orders, which are the most used mathematical orders between zero and one in practice. For each phase shift, all necessary numerical values to design fully passive RC ladder two-terminal circuits are provided. Individual CPEs are easily distinguishable because of a very high accuracy; maximal phase error is less than 1.5° in wide frequency range beginning with 3 Hz and ending with 1 MHz. Secondly, dynamics of ternary memory composed by a series connection of two resonant tunneling diodes is investigated and, consequently, a robust chaotic behavior is discovered and reported. Finally, CPEs are directly used for realization of fractional-order (FO) ternary memory as lumped chaotic oscillator. Existence of structurally stable strange attractors for different orders is proved, both by numerical analyzed and experimental measurement.

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Section: Wideband Cpe Dedicated For Lumped Chaotic Oscillatorsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Fractional-Order Chaotic Memory with Wideband Constant Phase Elements

Petržela

2020

Entropy

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“…is used, where T s is a sampling time. Hence, by using the Tustin rule and taking T s =0.06 s in (15), (17) and (18), one obtains the 5 th order discrete equivalents…”

Section:  mentioning

confidence: 99%

Analysis of the Band-pass and Notch filter with dynamic damping of fractional order including discrete models

Bošković

Šekara²,

Rapaić³

et al. 2018

Telfor J

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The paper presents analysis of the second order band-pass and notch filter with a dynamic damping factor βd of fractional order. Factor βd is given in the form of fractional differentiator of order , i.e. βd=β/s  , where β and  are adjustable parameters. The aim of the paper is to exploit an extra degree of freedom of presented filters to achieve the desired filter specifications and obtain a desired response in the frequency and time domain. Shaping of the frequency response enables achieving a better phase response compared to the integer-order counterparts which is of great concern in many applications. For the implementation purpose, the paper presents a comparison of four discretization techniques: the Osutaloup's Recursive Algorithm (ORA+Tustin), Continued Fractional Expansion (CFE+Tustin), Interpolation of Frequency Characteristic (IFC+Tustin) and recently proposed AutoRegressive with eXogenous input (ARX)-based direct discretization method.

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“…17 Fractional-order models of boost converters in CCM and DCM are established by using ESPM, respectively, and the effectiveness of the models is verified by comparing numerical simulation models with circuit simulation models. 13,14 Radwan presented the fractional-order models of buck, boost, and buck-boost DC-DC converters, 18 and the detailed analysis is made for CCM and DCM. Arackel dealt with analysis of buck converter in the presence of lossy filter using fractional-order inductor and capacitor.…”

Section: Introductionmentioning

confidence: 99%

Modeling and analysis method of fractional‐order buck–boost converter

Fang

Wang

2020

Circuit Theory & Apps

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Summary In this paper, the equivalent small parameter method (ESPM) is used to establish the nonlinear mathematical model of the fractional‐order buck–boost converter in continuous current mode (CCM), and the analytical expression of approximate steady‐state period of converter state variable is obtained by using equivalent small parameter method and combining with harmonic balance principle. The Matlab/Simulink is used to construct the fractional‐order capacitance and inductance and to build the circuit model as well as the simulation model of fractional‐order buck–boost converter. Moreover, the simulation results of Oustaloup circuit model and numerical simulation model are compared with those of ESPM model to verify the validity and accuracy of the ESPM. The model is simulated by changing the orders of the capacitor and inductor to obtain the influence rule of the order of fractional element on harmonic characteristics of the state variables.

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Modeling and analysis of fractional order DC-DC converter

Cited by 76 publications

References 29 publications

Fractional-Order Chaotic Memory with Wideband Constant Phase Elements

Fractional-Order Chaotic Memory with Wideband Constant Phase Elements

Analysis of the Band-pass and Notch filter with dynamic damping of fractional order including discrete models

Modeling and analysis method of fractional‐order buck–boost converter

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