Uneingeschränkter Zugang

Analysis of Fractional Electrical Circuit Containing Two RC Ladder Elements of Different Fractional Orders


Zitieren

Alsaedi A, Nieto JJ, Venktesh V. Fractional electrical circuits. Advances in Mechanical Engineering. 2015 Dec 1; 7 (12): 168781401561812. Search in Google Scholar

Al-Refai M, Abdeljawad T. Analysis of the fractional diffusion equations with fractional derivative of non-singular kernel. Adv Differ Equ. 2017; (1): 315. Search in Google Scholar

M. Batiha I, A. Njadat S, M. Batyha R, Zraiqat A, Dababneh A, Momani S. Design Fractional-order PID Controllers for Single-Joint Robot Arm Model. ijasca. 2022 Aug 1; 14 (2): 97–114. Search in Google Scholar

Chen W, HongGuang S, Xicheng L. Fractional Derivative Modeling in Mechanics and Engineering. 1st ed. Springer; 2022. 385 p. Search in Google Scholar

El-Khazali R, Tawalbeh N. Realization of Fractional-Order Capacitors and Inductors. In: Proceedings of The 5th Workshop on Fractional Differetiation and its Applications. Hohai University, Nanjing, China; 2012; 1–6. Search in Google Scholar

Correa-Escudero IL, Gómez-Aguilar JF, López-López MG, Alvarado-Martínez VM, Baleanu D. Correcting dimensional mismatch in fractional models with power, exponential and proportional kernel: Application to electrical systems. Results in Physics. 2022 Sep; 40:105867. Search in Google Scholar

Evangelista LR, Lenzi EK. An introduction to anomalous diffusion and relaxation. Cham, Switzerland: Springer Nature; 2023. 400 p. Search in Google Scholar

Hidalgo-Reyes JI, Gómez-Aguilar JF, Escobar-Jiménez RF, Alvarado-Martínez VM, López-López MG. Classical and fractional-order modeling of equivalent electrical circuits for supercapacitors and batteries, energy management strategies for hybrid systems and methods for the state of charge estimation: A state of the art review. Microelectronics Journal. 2019 Mar; 85:109–28. Search in Google Scholar

Hidalgo-Reyes JI, Gómez-Aguilar JF, Escobar-Jimenez RF, Alvarado-Martinez VM, Lopez-Lopez MG. Determination of supercapacitor parameters based on fractional differential equations. Int J Circ Theor Appl. 2019 May 22; cta.2640. Search in Google Scholar

Kaczorek T. Analysis of Fractional Electrical Circuits in Transient States. In Logitrans - VII Konferencja Naukowo-Techniczna; 2010; 1695–704. Search in Google Scholar

Kaczorek T, Rogowski K. Fractional Linear Systems and Electrical Circuits. Springer International Publishing; 2015. (Studies in Systems, Decision and Control; vol. 13). https://link.springer.com/10.1007/978-3-319-11361-6 Search in Google Scholar

Krishna BT, Reddy KVVS. Active and Passive Realization of Fractance Device of Order 1/2. Active and Passive Electronic Components. 2008;2008:1–5. Search in Google Scholar

Kumar N, Upadhyay DK. Fractional Order Digital Differentiator with Linear Phase and Low Absolute Error. International Journal of Electronic and Electrical Engineering. 2014;7(5):491–6. Search in Google Scholar

Mitkowski W, Bauer W, Zagórowska M. RC-ladder networks with supercapacitors. Archives of Electrical Engineering.2018; 67 (2): 377–89. Search in Google Scholar

Mitkowski W, Długosz M, Skruch P. Selected Engineering Applications of Fractional-Order Calculus. In: Kulczycki P, Korbicz J, Kacprzyk J, editors. Fractional Dynamical Systems: Methods, Algorithms and Applications [Internet]. Cham: Springer International Publishing; 2022 [cited 2023 Sep 7]. p. 333–59. (Studies in Systems, Decision and Control; vol. 402). Available from: https://link.springer.com/10.1007/978-3-030-89972-1_12 Search in Google Scholar

Petras I, Sierociuk D, Podlubny I. Identification of Parameters of a Half-Order System. IEEE Trans Signal Process. 2012 Oct; 60 (10): 5561–6. Search in Google Scholar

Piotrowska E. Analysis of fractional capacitor and coil by the use of the Conformable Fractional Derivative and Caputo definitions. In: 2018 International Interdisciplinary PhD Workshop (IIPhDW). Swinoujście: IEEE. 2018; 103–7. https://ieeexplore.ieee.org/document/8388335/ Search in Google Scholar

Piotrowska E, Rogowski K. Analysis of Fractional Electrical Circuit Using Caputo and Conformable Derivative Definitions. In: Ostalczyk P, Sankowski D, Nowakowski J, editors. Non-Integer Order Calculus and its Applications: Springer International Publishing; 2019, p. 183–94. (Lecture Notes in Electrical Engineering; vol. 496). http://link.springer.com/10.1007/978-3-319-78458-8_16 Search in Google Scholar

Podlubny I, Petráš I, Vinagre BM, O’Leary P, Dorčák Ľ. Analogue Realization of Fractional-Order Controlers. Nonlinear Dynamics. 2002;29(1/4):281–96. Search in Google Scholar

Pu Yifei, Yuan Xiao, Liao Ke, Zhou Jiliu, Zhang Ni, Zeng Yi, et al. Structuring Analog Fractance Circuit for 1/2 Order Fractional Calculus. In: 2005 6th International Conference on ASIC. Shanghai, China: IEEE; 2005, 1039–42. http://ieeexplore.ieee.org/document/1611507/ Search in Google Scholar

Sene N, Gómez-Aguilar JF. Analytical solutions of electrical circuits considering certain generalized fractional derivatives. Eur Phys J Plus. 2019 Jun;134(6):260. Search in Google Scholar

Sierociuk D, Skovranek T, Macias M, Podlubny I, Petras I, Dzielinski A, et al. Diffusion process modeling by using fractional-order models. Applied Mathematics and Computation. 2015; 257:2–11. Search in Google Scholar

Sierociuk D, Dzieliński A. Ultracapacitor Modelling and Control Using Discrete Fractional Order State-Space Model. Acta Montanistica Slovaca. 2008;13(1):136–45. Search in Google Scholar

Skovranek T, Macias M, Sierociuk D, Malesza W, Dzielinski A, Podlubny I, et al. Anomalous diffusion modeling using ultracapacitors in domino ladder circuit. Microelectronics Journal. 2019; 84:136–41. Search in Google Scholar

Tapadar A, Khanday FA, Sen S, Adhikary A. Fractional calculus in electronic circuits: a review. In: Fractional Order Systems [Internet]. Elsevier; 2022 [cited 2023 Sep 7]. p. 441–82. Available from: https://linkinghub.elsevier.com/retrieve/pii/B978012824293300018 Search in Google Scholar

Yang XJ. General fractional derivatives: theory, methods and applications. Boca Raton, FL: CRC Press, Taylor & Francis Group; 2019. Search in Google Scholar

eISSN:
2300-5319
Sprache:
Englisch
Zeitrahmen der Veröffentlichung:
4 Hefte pro Jahr
Fachgebiete der Zeitschrift:
Technik, Elektrotechnik, Elektronik, Maschinenbau, Mechanik, Bioingenieurwesen, Biomechanik, Bauingenieurwesen, Umwelttechnik