EN
Energy Consideration of a Capacitor Modelled Using Conformal Fractional-Order Derivative
Öz
Fractional order circuit elements have become important parts of electronic circuits to model systems including supercapacitors, filters, and many more. The conformal fractional derivative (CFD), which is a new basic fractional derivative, has been recently used to model supercapacitors successfully. It is essential to know how electronic components behave under excitation with different types of voltage and current sources. A CFD capacitor is not a well-known element and its usage in circuits is barely examined in the literature. In this research, it is examined how to calculate the stored energy of a CFD capacitor with a series resistor supplied from a DC voltage source. The solutions given in this study may be used in circuits where supercapacitors are used.
Anahtar Kelimeler
Kaynakça
- [1] Diethelm K., 2010. The Analysis of Fractional Differential Equations: An Application-oriented Exposition Using Differential Operators of Caputo Type, 1st ed., Springer Science & Business Media, Berlin, Germany.
- [2] Hilfer R., 2000. Applications of Fractional Calculus in Physics, 1st ed., World scientific, Singapore.
- [3] Babiarz A., Czornik A., Klamka J., and Niezabitowski M., 2017. Theory and applications of non-integer order systems. Lecture Notes Electrical Engineering, vol. 407.
- [4] Ross B., 1977. The development of fractional calculus 1695–1900. Historia Mathematica, 4(1), pp. 75-89.
- [5] Azar A. T., Radwan A. G., and Vaidyanathan S., 2018. Fractional Order Systems: Optimization, Control, Circuit Realizations and Applications, 1st ed., Elsevier Science & Technology, New York, USA.
- [6] T. J. Freeborn, 2013. A survey of fractional-order circuit models for biology and biomedicine. IEEE Journal on Emerging and Selected Topics in Circuits and Systems, 3(3), pp. 416-424.
- [7] Kartci A., Agambayev A., Herencsar N., and Salama K. N., 2018. Series-, parallel-, and inter-connection of solid-state arbitrary fractional-order capacitors: theoretical study and experimental verification. IEEE Access, 6, pp. 10933-10943.
- [8] Tsirimokou G., Psychalinos C., and Elwakil A., 2017. Design of CMOS Analog Integrated Fractional-Order Circuits: Applications in Medicine and Biology, 1st ed., Springer, Cham, Switzerland: Springer.
Ayrıntılar
Birincil Dil
İngilizce
Konular
Elektrik Mühendisliği
Bölüm
Araştırma Makalesi
Yayımlanma Tarihi
30 Kasım 2022
Gönderilme Tarihi
8 Temmuz 2021
Kabul Tarihi
17 Şubat 2022
Yayımlandığı Sayı
Yıl 2022 Cilt: 5 Sayı: 2
APA
Palaz, U., & Mutlu, R. (2022). Energy Consideration of a Capacitor Modelled Using Conformal Fractional-Order Derivative. Kocaeli Journal of Science and Engineering, 5(2), 117-125. https://doi.org/10.34088/kojose.966342
AMA
1.Palaz U, Mutlu R. Energy Consideration of a Capacitor Modelled Using Conformal Fractional-Order Derivative. KOJOSE. 2022;5(2):117-125. doi:10.34088/kojose.966342
Chicago
Palaz, Utku, ve Reşat Mutlu. 2022. “Energy Consideration of a Capacitor Modelled Using Conformal Fractional-Order Derivative”. Kocaeli Journal of Science and Engineering 5 (2): 117-25. https://doi.org/10.34088/kojose.966342.
EndNote
Palaz U, Mutlu R (01 Kasım 2022) Energy Consideration of a Capacitor Modelled Using Conformal Fractional-Order Derivative. Kocaeli Journal of Science and Engineering 5 2 117–125.
IEEE
[1]U. Palaz ve R. Mutlu, “Energy Consideration of a Capacitor Modelled Using Conformal Fractional-Order Derivative”, KOJOSE, c. 5, sy 2, ss. 117–125, Kas. 2022, doi: 10.34088/kojose.966342.
ISNAD
Palaz, Utku - Mutlu, Reşat. “Energy Consideration of a Capacitor Modelled Using Conformal Fractional-Order Derivative”. Kocaeli Journal of Science and Engineering 5/2 (01 Kasım 2022): 117-125. https://doi.org/10.34088/kojose.966342.
JAMA
1.Palaz U, Mutlu R. Energy Consideration of a Capacitor Modelled Using Conformal Fractional-Order Derivative. KOJOSE. 2022;5:117–125.
MLA
Palaz, Utku, ve Reşat Mutlu. “Energy Consideration of a Capacitor Modelled Using Conformal Fractional-Order Derivative”. Kocaeli Journal of Science and Engineering, c. 5, sy 2, Kasım 2022, ss. 117-25, doi:10.34088/kojose.966342.
Vancouver
1.Utku Palaz, Reşat Mutlu. Energy Consideration of a Capacitor Modelled Using Conformal Fractional-Order Derivative. KOJOSE. 01 Kasım 2022;5(2):117-25. doi:10.34088/kojose.966342
Cited By
Spice Model of a Capacitor Modelled Using Conformal Fractional Order Derivative and its Usage in Simulation of a Parallel R-L-C_∝ Circuit
Trakya Üniversitesi Mühendislik Bilimleri Dergisi
https://doi.org/10.59314/tujes.1396358