A Dimensional Consistency Aware Time Domain Analysis of the Generic Fractional Order Biquadratic System (2022)

Engineering, Rawid Banchuin, Scopus

 

Title              :   A Dimensional Consistency Aware Time Domain Analysis of the Generic Fractional Order Biquadratic System

Researcher       : Banchuin, R. and Roungsan Chaisricharoen
Department      : Faculty of Engineering & Graduated School of IT, Siam University, Bangkok, Thailand
Email                     :  rawid.ban@siam.edu

Abstract            :  In this research, the time domain analysis of the fractional order biquadratic system with nonzero input and nonzero damping ratio has been performed. Unlike the previous works, the analysis has been generically done with dimensional consistency awareness without referring to any specific physical system where nonzero input and nonzero damping ratio have been allowed. The fractional differential equation of the system has been derived and analytically solved. The physical measurability of the dimensions of the fractional derivative terms which have been defined in Caputo sense, and response with significantly different dynamic from its dimensional consistency ignored counterpart have been obtained due to our dimensional consistency awareness. The resulting solution is applicable to the fractional biquadratic systems of any kind with any physical nature. Based on such solution and numerical simulations, the influence of the fractional order parameter to all major time domain parameters have been studied in detailed. The obtain results provide insight to the fractional order biquadratic system with dimensional consistency awareness in a generic point of view.

Keywords: fractional order biquadratic system, fractional differential equation, fractional time component parameter, dimensional consistency, time domain analysis

Link to article  :  Journal of Mobile Multimedia, 2022, Vol. 18 No.3, pp. 789–806. https://doi.org/10.13052/jmm1550-4646.18316

Journal            :  Journal of Mobile Multimedia / in Scopus

Citation     : Banchuin, R., & Chaisricharoen R. (2022). A dimensional consistency aware time domain analysis of the generic fractional order biquadratic system. Journal of Mobile Multimedia, 18(3), 789–806. https://doi.org/10.13052/jmm1550-4646.18316

ฐานข้อมูลงานวิจัย มหาวิทยาลัยสยาม :  https://e-research.siam.edu/kb/a-dimensional-consistency/

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A novel generalized fractional-order memristor model with fully explicit memory description (2023)

Engineering, Rawid Banchuin, Scopus

 

Title              :  A novel generalized fractional-order memristor model with fully explicit memory description

Researcher       : Banchuin, R.
Department      :  Faculty of Engineering, Siam University, Bangkok, Thailand
Email                     :  rawid.ban@siam.edu

Abstract            : In this work, a novel generalized mathematical model of fractional-order memristor with fully explicit memory description has been proposed. For obtaining such full explicit memory description, the Atangana-Baleanu fractional derivative in Liouville-Caputo sense, which employs a nonsingular kernel, has been adopted as the mathematical basis. The proposed model has been derived without regarding to any specific conventional memristor. A comparison with the singular kernel fractional derivative-based model has been made. The behavioral analysis of the fractional-order memristor based on the proposed model has been performed, where both DC and AC stimuli have been considered. In addition, its application to the practical fractional-order memristor-based circuit and its extension to the fractional-order memreactance have also been shown. Unlike the singular kernel fractional derivative-based model, a fully explicit memory description can be obtained by ours. Many other interesting results that are contradict to the previous singular kernel fractional derivative-based ones, e.g., the fractional-order memristor that can be locally active, have been demonstrated. The abovementioned extension can be conveniently performed. In summary, this is the first time that a nonsingular kernel fractional derivative has been applied to the fractional-order memristor modeling and the resulting model with a fully explicit memory description has been proposed. The proposed model is also highly generic, applicable to the practical circuit, and extendable to the fractional-order memreactance.

Link to article  :  International Journal of Circuit Theory and Applications, 2023, 51(4), pp. 1935–1957. https://doi.org/10.1002/cta.3410

Journal            :  International Journal of Circuit Theory and Applications / in Scopus

Bibliography     :  Banchuin, R. (2023). A novel generalized fractional-order memristor model with fully explicit memory description. International Journal of Circuit Theory and Applications, 51(4), 1935–1957. https://doi.org/10.1002/cta.3410

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Analytical model of inverse memelement with fractional order kinetic (2022)

Engineering, Rawid Banchuin, Scopus

 

Title              :   Analytical model of inverse memelement with fractional order kinetic

Researcher       : Banchuin, R.
Department      : Faculty of Engineering & Graduated School of IT, Siam University, Bangkok, Thailand
Email                     :  rawid.ban@siam.edu

Abstract            :  In this work, the analytical model of inverse memelement with fractional order kinetic has been proposed. The classical yet noncontroversial Caputo fractional derivative has been adopted for modeling such fractional order kinetic due to its simplicity yet accuracy. Based on the proposed model, the analysis of fractional order kinetic inverse memristor has been thoroughly performed where both nonperiodic and periodic excitations have been considered. Analytical formulations of the related parameters, for example, the rate of changes of inverse memristance, area of inverse memristance loop, and area of pinched hysteresis loop, and so on, have been performed. The extension of the proposed model to the fractional inverse memelement has been performed where the fractional inverse memristor has been analyzed. We have found that the inverse memristor still behaves in an opposite manner to the memristor even with the fractional order kinetic. All obtained results have been found to be intuitively applicable to any inverse memelement. The equivalent circuit models of both fractional inverse memristor and fractional inverse memelement have also been presented. This work provides a comprehensive understanding on both inverse memelement with fractional order kinetic and fractional inverse memelement. The realization of the emulator of such inverse memelement with fractional order kinetic and the fractional inverse memelement emulator has been found to be interesting opened research questions.

Link to article  :  International Journal of Circuit Theory and Applications, 2022, 50(7), pp. 2342–2377. https://doi.org/10.1002/cta.3264

Journal            :  International Journal of Circuit Theory and Applications / in Scopus

Bibliography     : Banchuin, R. (2022). Analytical model of inverse memelement with fractional order kinetic. International Journal of Circuit Theory and applications, 50(7), 2342-2377. https://doi.org/10.1002/cta.3264

ฐานข้อมูลงานวิจัย มหาวิทยาลัยสยาม : https://e-research.siam.edu/kb/analytical-model-of-inverse/

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Comparative analyses of electrical circuits with conventional and revisited definitions of circuit elements: a fractional conformable calculus approach (2022)

Engineering, Rawid Banchuin, Scopus

Title              :  Comparative analyses of electrical circuits with conventional and revisited definitions of circuit elements: a fractional conformable calculus approach

Researcher       : Banchuin, R.
Department      :  Faculty of Engineering, & Graduated School of IT, Siam University, Bangkok, Thailand
Email                     :  rawid.ban@siam.edu

Abstract            :

Purpose

The purpose of this paper is to comparatively analyze the electrical circuits defined with the conventional and revisited time domain circuit element definitions in the context of fractional conformable calculus and to promote the combined usage of conventional definitions, fractional conformable derivative and conformable Laplace transform.

Design/methodology/approach

The RL, RC, LC and RLC circuits described by both conventional and revisited time domain circuit element definitions has been analyzed by means of the fractional conformable derivative based differential equations and conformable Laplace transform. The comparison among the obtained results and those based on the methodologies adopted in the previous works has been made.

Findings

The author has found that the conventional definitions-based solution gives a physically reasonable result unlike its revisited definitions-based counterpart and the solutions based on those previous methodologies. A strong agreement to the time domain state space concept-based solution can be observed. The author has also shown that the scalar valued solution can be directly obtained by singularity free conformable Laplace transform-based methodology unlike such state space concept based one.

Originality/value

For the first time, the revisited time domain definitions of resistance and inductance have been proposed and applied together with the revisited definition of capacitance in electrical circuit analyses. The advantage of the combined usage of conventional time definitions, fractional conformable derivative and conformable Laplace transform has been suggested and the impropriety of applying the revisited definitions in circuit analysis has been pointed out.

Link to article  :  COMPEL – The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 2022, 41(1), pp. 258-282. https://doi.org/10.1108/COMPEL-03-2021-0079

Journal            :  COMPEL – The International Journal for Computation and Mathematics in Electrical and Electronic Engineering / in Scopus

Citation:  Banchuin, R. (2022). Comparative analyses of electrical circuits with conventional and revisited definitions of circuit elements: A fractional conformable calculus approach. COMPEL – The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 41(1), 258-282. https://doi.org/10.1108/COMPEL-03-2021-0079

ฐานข้อมูลงานวิจัย มหาวิทยาลัยสยาม : https://e-research.siam.edu/kb/comparative-analyses-of-electrical-circuits/

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Comparative analysis of suitability of fractional derivatives in modelling the practical capacitor (2022)

Engineering, Rawid Banchuin, Scopus

Title              :  Comparative analysis of suitability of fractional derivatives in modelling the practical capacitor

Researcher       : Banchuin, R.
Department      :  Faculty of Engineering, & Graduated School of IT, Siam University, Bangkok, Thailand
Email                     :  rawid.ban@siam.edu

Abstract            :

Purpose

The purpose of this paper is to compare the suitability of fractional derivatives in the modelling of practical capacitors. Such suitability refers to ability to provide the analytical capacitance function that matches the experimental ones of each fractional derivative.

Design/methodology/approach

The analytical capacitance functions based on various fractional derivatives of both local and nonlocal types including the author’s have been derived. The derived capacitance functions have been simulated and compared with the experimental ones of aluminium electrolytic and electrical double layer capacitors (EDLCs).

Findings

This paper has found that any local fractional derivative with fractional power law-based relationship with the conventional one is suitable for modelling the aluminium electrolytic capacitor (AEC) by incorporating with the conventional capacitance definition. On the other hand, the author’s nonlocal fractional derivatives have been found to be more suitable than the others for modelling the EDLC by incorporating with the revisited definition of capacitance.

Originality/value

The proposed comparative analysis has been originally presented in this work. The criterion for local fractional derivative, to be suitable for modelling the AEC, has been found. The nonlocal fractional operators which are most suitable for modelling the EDLC have been derived where the unsuitable one has been pointed out.

Link to article  :  COMPEL – The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 2022, 41(1), 304-318. https://doi.org/10.1108/COMPEL-08-2021-0293

Journal            :  COMPEL – The International Journal for Computation and Mathematics in Electrical and Electronic Engineering / in Scopus

Citation  : Banchuin, R. (2022). Comparative analysis of suitability of fractional derivatives in modelling the practical capacitor. COMPEL – The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 41(1), 304-318. https://doi.org/10.1108/COMPEL-08-2021-0293

ฐานข้อมูลงานวิจัย มหาวิทยาลัยสยาม : https://e-research.siam.edu/kb/comparative-analysis-of-suitability/

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Generic analytical models of memelement and inverse memelement with time-dependent memory effects (2023)

Engineering, Rawid Banchuin, Scopus

 

Title              :  Generic analytical models of memelement and inverse memelement with time-dependent memory effects

Researcher       : Banchuin, R.
Department      :  Faculty of Engineering, & Graduated School of IT, Siam University, Bangkok, Thailand
Email                     :  rawid.ban@siam.edu

Abstract            : 

Purpose

The purpose of this paper is to originally present the generic analytical models of memelement and inverse memelement with time-dependent memory effect.

Design/methodology/approach

The variable order forward Grünwald–Letnikov fractional derivative and the memristor and inverse memristor models proposed by Fouda et al. have been adopted as the basis. Both analytical and numerical studies have been conducted. The applications to the candidate practical memristor and inverse memelements have also been presented.

Findings

The generic analytical models of memelement and inverse memelement with time-dependent memory effect, the simplified ones for DC and AC signal-based analyses and the equations of crucial parameters have been derived. Besides the well-known opposite relationships with frequency, the Lissajous patterns of memelement and inverse memelement also use the opposite relationships with the time. The proposed models can be well applied to the practical elements.

Originality/value

To the best of the authors’ knowledge, for the first time, the models’ memelement and inverse memelement with time-dependent memory effect have been presented. A new contrast between these elements has been discovered. The resulting models are applicable to the practical elements.

Link to article  :  COMPEL – The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 2023, 42(6), pp. 1669–1689. https://doi.org/10.1108/COMPEL-03-2023-0085

Journal            :  COMPEL – The International Journal for Computation and Mathematics in Electrical and Electronic Engineering / in Scopus

Citation   :  Banchuin, R. (2023). Generic analytical models of memelement and inverse memelement with time-dependent memory effects. COMPEL – The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 42(6), 1669–1689. https://doi.org/10.1108/COMPEL-03-2023-0085

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Impacts of Climate Change on Rainfall Erosivity in the Huai Luang Watershed (2017)

Engineering, Pheerawat Plangoen, Scopus

 

Title              :  Impacts of Climate Change on Rainfall Erosivity in the Huai Luang Watershed

Researcher       :  Pheerawat Plangoen  and Parmeshwar Udmale
Department      :  Department of Civil Engineering, Faculty of Engineering, Siam University, Bangkok, Thailand
Email                       :  pheerawat.pla@siam.edu

Abstract            : This study focuses on the impacts of climate change on rainfall erosivity in the Huai Luang watershed, Thailand. The multivariate climate models (IPCC AR5) consisting of CCSM4, CSIRO-MK3.6.0 and MRI-CGCM3 under RCP4.5 and RCP8.5 emission scenarios are analyzed. The Quantile mapping method is used as a downscaling technique to generate future precipitation scenarios which enable the estimation of future rainfall erosivity under possible changes in climatic conditions. The relationship between monthly precipitation and rainfall erosivity is used to estimate monthly rainfall erosivity under future climate scenarios. The assessment compared values of rainfall erosivity during 1982–2005 with future timescales (i.e., the 2030s, 2050s, 2070s and 2090s). The results indicate that the average of each General Circulation Model (GCM) combination shows a rise in the average annual rainfall erosivity for all four future time scales, as compared to the baseline of 8302 MJ mm ha−1 h−1 year−1, by 12% in 2030s, 24% in 2050s, 43% in 2070s and 41% in 2090s. The magnitude of change varies, depending on the GCMs (CCSM4, CSIRO-MK3.6.0, and MRI-CGCM3) and RCPs with the largest change being 82.6% (15,159 MJ mm ha−1 h−1 year−1) occurring under the MRI-CGCM3 RCP8.5 scenario in 2090s. A decrease in rainfall erosivity has been found, in comparison to the baseline by 2.3% (8114 MJ mm ha−1 h−1 year−1) for the CCSM4 RCP4.5 scenario in 2030s and 2.6% (8088 MJ mm ha−1 h−1 year−1) for the 2050s period. However, this could be considered uncertain for future rainfall erosivity estimation due to different GCMs. The results of this study are expected to help development planners and decision makers while planning and implementing suitable soil erosion and deposition control plans to adapt climate change in the Huai Luang watershed.

Key words         :  climate change; rainfall erosivity; precipitation; soil erosion; sedimentation

Link to article  :  Atmosphere  Vol.8 No.8 Aug 2017, pp.1-18.  https://doi.org/10.3390/atmos8080143

Journal            :  Atmosphere / in Scopus

Bibliography     :  Pheerawat Plangoen & Parmeshwar Udmale. (2017). Impacts of Climate Change on Rainfall Erosivity in the Huai Luang Watershed.  Atmosphere,  8(8), 1-18. https://doi.org/10.3390/atmos8080143

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Mechanical and Physical Properties of Concrete Modified with Natural Rubber Latex

Pheerawat Plangoen

 

Title              :  Mechanical and Physical Properties of Concrete Modified with Natural Rubber Latex

Researcher       :  Pheerawat Plangoen          
Department      :  Department of Civil Engineering, Faculty of Engineering, Siam University, Bangkok, Thailand
Email                       :  pheerawat.pla@siam.edu

Abstract            :  To improve the performance of concrete, natural rubber latex (NRL) is mixed with concrete. It has been observed that rubber latex-modified concrete is more durable than conventional concrete due to superior strength. This study analyzed the physical and mechanical properties of concrete mixed with natural rubber latex. In this research, impacts of natural rubber latex on workability, bleeding of concrete, compressive strength, tensile strength, flexural strength, bond stress and water absorption using concrete with a nominal concrete mix proportion of 1:2:4 (cement : sand : gravel) by volume. Rubber latex-modified concrete compositions containing 0%, 1%, 3%, 5%, 10%, and 15% by weight of cement were prepared or polymer concrete ratio (P/C), and the strength of the structure was tested after 28 days. The results indicated that the polymer cement ratio (P/C) of 1% gives the best performance with 245 ksc compressive strength, 35 ksc tensile strength, 46 ksc flexural strength, 34 ksc bond stress and average water absorption was 0.95%. Based on the results of this study, polymer cement ratio (P/C) of 1% by weight is most recommended to be used with various types of concrete structures.

Key words         :  natural rubber latex, concrete, mechanical, polymer cement ratio

Website              :  2018 5th Global Conference on Polymer and Composite Materials (PCM 2018) http://www.cpcmconf.org/2018/

Download PDF :  Mechanical and Physical Properties of Concrete Modified with Natural Rubber Latex

Bibliography     :  Pheerawat Plangoen. (2018). Mechanical and physical properties of concrete modified with natural rubber latex. In 2018 5th Global Conference on Polymer and Composite Materials (PCM 2018). Kitakyushu, Japan

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Noise analysis of electrical circuits on fractal set (2022)

Engineering, Rawid Banchuin, Scopus

 

Title              :  Noise analysis of electrical circuits on fractal set

Researcher       : Banchuin, R.
Department      :  Faculty of Engineering, & Graduated School of IT, Siam University, Bangkok, Thailand
Email                     :  rawid.ban@siam.edu

Abstract            : 

Purpose

The purpose of this study is to originally present noise analysis of electrical circuits defined on fractal set.

Design/methodology/approach

The fractal integrodifferential equations of resistor-inductor, resistor-capacitor, inductor-capacitor and resistor-inductor-capacitor circuits subjected to zero mean additive white Gaussian noise defined on fractal set have been formulated. The fractal time component has also been considered. The closed form expressions for crucial stochastic parameters of circuit responses have been derived from these equations. Numerical simulations of power spectral densities based on the derived autocorrelation functions have been performed. A comparison with those without fractal time component has been made.

Findings

We have found that the Hausdorff dimension of the middle b Cantor set strongly affects the power spectral densities; thus, the average powers of noise induced circuit responses and the inclusion of fractal time component causes significantly different analysis results besides the physical measurability of electrical quantities.

Originality/value

For the first time, the noise analysis of electrical circuit on fractal set has been performed. This is also the very first time that the fractal time component has been included in the fractal calculus-based circuit analysis.

Link to article  :  COMPEL – The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 2022, 41(5), pp. 1464–1490. https://doi.org/10.1108/COMPEL-08-2021-0269

Journal            :  COMPEL – The International Journal for Computation and Mathematics in Electrical and Electronic Engineering / in Scopus

Citation   :  Banchuin, R. (2022). Noise analysis of electrical circuits on fractal set. COMPEL – The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 41(5), 1464–1490. https://doi.org/10.1108/COMPEL-08-2021-0269

ฐานข้อมูลงานวิจัย มหาวิทยาลัยสยาม : https://e-research.siam.edu/kb/noise-analysis-of-electrical-circuits/

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Nonlocal fractal calculus based analyses of electrical circuits on fractal set (2022)

Engineering, Rawid Banchuin, Scopus

Title              :  Nonlocal fractal calculus based analyses of electrical circuits on fractal set

Researcher       : Banchuin, R.
Department      :  Faculty of Engineering, & Graduated School of IT, Siam University, Bangkok, Thailand
Email                     :  rawid.ban@siam.edu

Abstract            : 

Purpose

The purpose of this paper is to present the analyses of electrical circuits with arbitrary source terms defined on middle b cantor set by means of nonlocal fractal calculus and to evaluate the appropriateness of such unconventional calculus.

Design/methodology/approach

The nonlocal fractal integro-differential equations describing RL, RC, LC and RLC circuits with arbitrary source terms defined on middle b cantor set have been formulated and solved by means of fractal Laplace transformation. Numerical simulations based on the derived solutions have been performed where an LC circuit has been studied by means of Lagrangian and Hamiltonian formalisms. The nonlocal fractal calculus-based Lagrangian and Hamiltonian equations have been derived and the local fractal calculus-based ones have been revisited.

Findings

The author has found that the LC circuit defined on a middle b cantor set become a physically unsound system due to the unreasonable associated Hamiltonian unless the local fractal calculus has been applied instead.

Originality/value

For the first time, the nonlocal fractal calculus-based analyses of electrical circuits with arbitrary source terms have been performed where those circuits with order higher than 1 have also been analyzed. For the first time, the nonlocal fractal calculus-based Lagrangian and Hamiltonian equations have been proposed. The revised contradiction free local fractal calculus-based Lagrangian and Hamiltonian equations have been presented. A comparison of local and nonlocal fractal calculus in terms of Lagrangian and Hamiltonian formalisms have been made where a drawback of the nonlocal one has been pointed out.

Link to article  :  COMPEL – The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 2022, 41(1), 528–549. https://doi.org/10.1108/COMPEL-08-2021-0269

Journal            :  COMPEL – The International Journal for Computation and Mathematics in Electrical and Electronic Engineering / in Scopus

Citation  : Banchuin, R. (2022). Nonlocal fractal calculus based analyses of electrical circuits on fractal set. COMPEL – The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 41(1), 528–549. https://doi.org/10.1108/COMPEL-08-2021-0269

ฐานข้อมูลงานวิจัย มหาวิทยาลัยสยาม : https://e-research.siam.edu/kb/nonlocal-fractal-calculus/

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