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Journals / Celal Bayar Üniversitesi Fen Bilimleri Dergisi / 2021 / Cilt: 17 - Sayı: 2

Analysis of a Capacitor Modelled with Conformable Fractional Derivative Under DC and Sinusoidal Signals

Reşat Mutlu
Utku Palaz
Pages
193–198
Publication Date
2022-10-12
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In this study, it is examined how a CFD capacitor would behave under DC and AC excitations when it is fed by not only a current source but also a voltage source.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Fractional order circuit elements are successfully used to model circuits and systems in the last few decades.
📊
Key Findings & Data:There are different types of fractional derivatives.
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Conclusion & Impact:In this study, it is examined how a CFD capacitor would behave under DC and AC excitations when it is fed by not only a current source but also a voltage source.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

Fractional order circuit elements are successfully used to model circuits and systems in the last few decades. There are different types of fractional derivatives. Recently, another one named “the conformable fractional derivative” (CFD) has been introduced and shown to give good results for modeling supercapacitors. It is imperative to know how circuit elements behave for different current and voltage waveforms in circuit theory so that they can be exploited at their full potential. A CFD capacitor is not a well-known element and its usage and circuit solutions are rarely addressed in literature. In this study, it is examined how a CFD capacitor would behave under DC and AC excitations when it is fed by not only a current source but also a voltage source.

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Cite This Article

Mutlu, R., Palaz, U. (2022). Analysis of a Capacitor Modelled with Conformable Fractional Derivative Under DC and Sinusoidal Signals. Celal Bayar Üniversitesi Fen Bilimleri Dergisi, Cilt: 17 - Sayı: 2, 193–198. https://ajindex.com/articles/472105

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References (13)

  1. Podlubny, I. (1998). Fractional differential equations: an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications. Elsevier
  2. Yang, X. J. (2019). General fractional derivatives: theory, methods and applications. Chapman and Hall/CRC
  3. Ross, B. (1977). The development of fractional calculus 1695– 1900. Historia Mathematica, 4(1), 75-89
  4. Kilbas, A.A.; Srivastava, H.M.; Trujillo, J.J. Theory and Applications of Fractional Differential Equations; Elsevier: Amsterdam, The Netherlands, 2006 5. Babiarz, A., Czornik, A., Klamka, J., & Niezabitowski, M. (2017). Theory and applications of non-integer order systems. Lecture Notes Electrical Engineering, 407
  5. Moreles, M. A., & Lainez, R. (2016). Mathematical modelling of fractional order circuits. arXiv preprint arXiv:1602.03541
  6. Freeborn, T. J. (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), 416-424
  7. Adhikary, A., Khanra, M., Pal, J., & Biswas, K. (2017). Realization of fractional order elements. Inae Letters, 2(2), 41-47
  8. Tsirimokou, G., Kartci, A., Koton, J., Herencsar, N., & Psychalinos, C. (2018). Comparative study of discrete component realizations of fractional-order capacitor and inductor active emulators. Journal of Circuits, Systems and Computers, 27(11), 1850170
  9. Kartci, A., Agambayev, A., Herencsar, N., & Salama, K. N. (2018). Series-, parallel-, and inter-connection of solid-state arbitrary fractional-order capacitors: theoretical study and experimental verification. IEEE Access, 6, 10933-10943
  10. Sotner, R., Jerabek, J., Kartci, A., Domansky, O., Herencsar, N., Kledrowetz, V.,. & Yeroglu, C. (2019). Electronically reconfigurable two-path fractional-order PI/D controller employing constant phase blocks based on bilinear segments using CMOS modified current differencing unit. Microelectronics Journal, 86, 114- 129
  11. Podlubny, I., Petráš, I., Vinagre, B. M., O'leary, P., & Dorčák, Ľ. (2002). Analogue realizations of fractional-order controllers. Nonlinear dynamics, 29(1-4), 281-296
  12. Alagoz, B. B., & Alisoy, H. Z. (2014). On the Harmonic Oscillation of High-order Linear Time Invariant Systems. Scientific Committee
  13. Alagöz, B. B., & Alisoy, H. Estimation of Reduced Order Equivalent Circuit Model Parameters of Batteries from Noisy Current and Voltage Measurements. Balkan Journal of E