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Spice Model of a Capacitor Modelled Using Conformal Fractional Order Derivative and its Usage in Simulation of a Parallel R-L-C_∝ Circuit

Cilt: 24 Sayı: 2 28 Aralık 2023
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Spice Model of a Capacitor Modelled Using Conformal Fractional Order Derivative and its Usage in Simulation of a Parallel R-L-C_∝ Circuit

Öz

Fractional-order (FO) components have emerged as a necessary method to model electrical and electronic circuits in the 20th century. In recent decades, the conformable fractional derivative has become a very popular mathematical tool. In the literature, it is used to model supercapacitors successfully. However, it is usually difficult to find analytical solutions for the circuits having a CFD capacitor. Circuit simulation programs make it easy to inspect the circuits hard to analyze. A CFD capacitor does not have a spice model yet. In this study, the Spice model of a CFD capacitor is constructed in the LTspice program. The model is also used to simulate an R-L-C_∝ parallel circuit with a CFD capacitor. Its simulation results are given.

Anahtar Kelimeler

Fractional Order Derivatives, Conformal Fractional Derivative, Circuit Modeling, Spice Model

Kaynakça

  1. Abdeljawad, T. (2015). On conformable fractional calculus. Journal of computational and Applied Mathematics, 279, 57-66.
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  7. Devecioğlu, İ., & Mutlu, R. (2022). A Conformal Fractional Derivative-based Leaky Integrate-and-Fire Neuron Model. Sakarya University Journal of Science, 26(3), 568-578.
  8. Fărcaş, C., Petreuş, D., Ciocan, I., & Palaghiţă, N. (2009, September). Modeling and simulation of supercapacitors. In 2009 15th International Symposium for Design and Technology of Electronics Packages (SIITME) (pp. 195-200). IEEE.
  9. Freeborn, T. J., Elwakil, A. S., & Allagui, A. (2018, May). Supercapacitor fractional-order model discharging from polynomial time-varying currents. In 2018 IEEE International Symposium on Circuits and Systems (ISCAS) (pp. 1-5). IEEE.
  10. Freeborn, T. J., Maundy, B., & Elwakil, A. S. (2013). Measurement of supercapacitor fractional-order model parameters from voltage-excited step response. IEEE Journal on Emerging and Selected Topics in Circuits and Systems, 3(3), 367-376.

Kaynak Göster

APA
Karakulak, E., & Mutlu, R. (2023). 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, 24(2), 49-56. https://doi.org/10.59314/tujes.1396358
AMA
1.Karakulak E, Mutlu R. Spice Model of a Capacitor Modelled Using Conformal Fractional Order Derivative and its Usage in Simulation of a Parallel R-L-C_∝ Circuit. TUJES. 2023;24(2):49-56. doi:10.59314/tujes.1396358
Chicago
Karakulak, Ertuğrul, ve Reşat Mutlu. 2023. “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 24 (2): 49-56. https://doi.org/10.59314/tujes.1396358.
EndNote
Karakulak E, Mutlu R (01 Aralık 2023) 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 24 2 49–56.
IEEE
[1]E. Karakulak ve R. Mutlu, “Spice Model of a Capacitor Modelled Using Conformal Fractional Order Derivative and its Usage in Simulation of a Parallel R-L-C_∝ Circuit”, TUJES, c. 24, sy 2, ss. 49–56, Ara. 2023, doi: 10.59314/tujes.1396358.
ISNAD
Karakulak, Ertuğrul - Mutlu, Reşat. “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 24/2 (01 Aralık 2023): 49-56. https://doi.org/10.59314/tujes.1396358.
JAMA
1.Karakulak E, Mutlu R. Spice Model of a Capacitor Modelled Using Conformal Fractional Order Derivative and its Usage in Simulation of a Parallel R-L-C_∝ Circuit. TUJES. 2023;24:49–56.
MLA
Karakulak, Ertuğrul, ve Reşat Mutlu. “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, c. 24, sy 2, Aralık 2023, ss. 49-56, doi:10.59314/tujes.1396358.
Vancouver
1.Ertuğrul Karakulak, Reşat Mutlu. Spice Model of a Capacitor Modelled Using Conformal Fractional Order Derivative and its Usage in Simulation of a Parallel R-L-C_∝ Circuit. TUJES. 01 Aralık 2023;24(2):49-56. doi:10.59314/tujes.1396358