Modeling and applications of fractional-order mutual inductance based on atangana-baleanu and caputo-fabrizio fractional derivatives

Xiaozhong Liao, Da Lin*, Donghui Yu, Manjie Ran, Lei Dong

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

Many electrical systems can be characterized more authentically by fractional-order dynamic systems. The Atangana-Baleanu and the Caputo-Fabrizio fractional derivatives have solved the singularity problem in Caputo derivative. This work uses Atangana-Baleanu and Caputo-Fabrizio fractional derivatives to model the fractional-order mutual inductance in the frequency domain. To use the fractional mutual inductance in circuit design, the T-model equivalent circuits are presented with different fractional derivatives. The fractional impedance matching networks based on proposed fractional mutual coupling circuits are simulated as an application. The impedance characteristics of networks with different fractional orders are analyzed. The results indicate that the proposed fractional mutual coupling circuits based on Atangana-Baleanu and Caputo-Fabrizio fractional derivatives can be applied to the complex electrical systems to increase the design degree of freedom, which provides more choices for describing the nonlinear characteristics of the system.

Original languageEnglish
Article number2250090
JournalFractals
Volume30
Issue number4
DOIs
Publication statusPublished - 1 Jun 2022

Keywords

  • Analog Circuit Implementation
  • Atangana-Baleanu Fractional Derivative
  • Caputo-Fabrizio Fractional Derivative
  • Fractional-Order Mutual Inductance

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