Methodology of electrochemical capacitor quality control with fractional order model

Martynyuk, Valeriy; Ortigueira, Manuel Duarte; Fedula, Mykola; Savenko, Oleg

doi:10.1016/j.aeue.2018.05.005

Cited by 33 publications

(16 citation statements)

References 39 publications

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“…In addition to that interpretation, the finding of the charge-voltage relation for a fractional capacitor reported here, should further pave way in the emerging field of fractional-order circuits and systems [26]. The applications include modeling of, biological media [11,12], supercapacitors [27,28], electrochemical capacitors [29], and the design of the filters [30].…”

supporting

confidence: 52%

Charge-voltage relation for a universal capacitor

Pandey

2020

Preprint

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Most capacitors of practical use deviate from the assumption of a constant capacitance. They exhibit memory and are often described by a time-varying capacitance. It is shown that a direct implementation of the classical relation, Q (t) = CV (t), that relates the charge, Q (t), with the constant capacitance, C, and the voltage, V (t), is not applicable when the capacitance is timevarying. The resulting equivalent circuit that emerges from the substitution of, C, by, C (t), is found to be inconsistent. Since, C (t), leads to a time-variant system, the current, Q, that is obtained from the product rule of the differentiation is not valid either. The search for a solution to this problem led to the expression for the charge, that is given by the convolution of the time-varying capacitance with the first-order derivative of the voltage, as, Q (t) = C (t) * V (t). Coincidentally, this equation also corresponds to the charge-voltage relation for a fractional-capacitor which is probably first reported in this Letter.

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confidence: 52%

Charge-voltage relation for a universal capacitor

Pandey

2020

Preprint

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“…Fractional order models have been widely used in fields such as electromagnetics (Martynyuk et al, 2018), biomedicine (Dokuyucu and Dutta, 2020;Khan et al, 2019), physics (Al-khedhairi et al, 2019) and elastic mechanics (Meng et al, 2019;Qu et al, 2019). However, it is difficult for the mechanism modelling method to accurately characterize the dynamic characteristics of actual systems, which are affected by internal factors and external disturbances.…”

Section: Introductionmentioning

confidence: 99%

Fractional order system modelling with Legendre wavelet multi-resolution analysis

Wang

Liang

et al. 2021

Transactions of the Institute of Measurement and Control

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This paper proposes a method of fractional order system (FOS) modelling with Legendre wavelet multi-resolution analysis. The proposed method expands the input and output signals of the system in the form of a Legendre wavelet, and constructs the Legendre wavelet integration operational matrix by use of a block-pulse function. To address the problem of the considerable volume of system identification data and system noise in practical engineering applications, the multi-resolution characteristics of the wavelet are combined to build a wavelet integration operational matrix from the multi-scale space. By continuously discarding the high-frequency information to reduce the length of the identification data, the identification speed of the system is accelerated and the influence of noise on the identification accuracy is reduced. In addition, the least squares method is used to find the optimal order in the identification interval and further accelerate the FOS modelling process. The proposed method rapidly identifies the FOS parameters with high accuracy, and is thus feasible for engineering applications. Its effectiveness is verified by simulation and photoelectric stabilized sighting platform experiment.

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“…Recent years have witnessed a continuous progress of fractional-order calculus, which can be applied rheology, electrochemistry, mechanics, bioengineering, circuit systems and other fields [1] , [2] , [3] , [4] , [5] . Fractional-order calculus is defined as the extension of traditional integer-order calculus to arbitrary non-integer-order calculus.…”

Section: Introductionmentioning

confidence: 99%