<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The study addresses the topic of different fractional orders in the context of simulation as well as experiments using real electrical elements of fractional-order circuit. In studying the two solutions of the resistance-capacitance (RC) ladder circuit of appropriate parameters, different fractional orders of the electrical circuit are considered. Two fractional-order (non-integer) elements were designed based on the Continued Fraction Expansion (CFE) approximation method. The CFE method itself was modified to allow free choice of centre pulsation. It was also proposed that when making individual ladder circuits, in the absence of elements with the parameters specified by the program, they should be obtained by connecting commercially available elements in series or parallel. Finally, the theoretical analysis of such a circuit is presented using state-space method and verified experimentally.</p>
</abstract>

The study addresses the topic of different fractional orders in the context of simulation as well as experiments using real electrical elements of fractional-order circuit. In studying the two solutions of the resistance-capacitance (RC) ladder circuit of appropriate parameters, different fractional orders of the electrical circuit are considered. Two fractional-order (non-integer) elements were designed based on the Continued Fraction Expansion (CFE) approximation method. The CFE method itself was modified to allow free choice of centre pulsation. It was also proposed that when making individual ladder circuits, in the absence of elements with the parameters specified by the program, they should be obtained by connecting commercially available elements in series or parallel. Finally, the theoretical analysis of such a circuit is presented using state-space method and verified experimentally.

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

Acta Mechanica et Automatica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

The study addresses the topic of different fractional orders in the context of simulation as well as experiments using real electrical elements of...

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

Published Online: Jan 05, 2024

Page range: 77 - 83

Received: Apr 20, 2023

Accepted: Jul 07, 2023

DOI: https://doi.org/10.2478/ama-2024-0010

Keywords
fractional-order circuit, RC ladder, Continued Fraction Expansion

© 2024 Ewa Piotrowska et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

Published Online: Jan 05, 2024

Page range: 77 - 83

Received: Apr 20, 2023

Accepted: Jul 07, 2023

DOI: https://doi.org/10.2478/ama-2024-0010

Keywordsfractional-order circuit, RC ladder, Continued Fraction Expansion

© 2024 Ewa Piotrowska et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
fractional-order circuit, RC ladder, Continued Fraction Expansion