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Fractional-order autonomous circuits with order larger than one
Yanwei Jiang1, Bo Zhang2, Xujian Shu2
1College of Electric Engineering and Automation, Fuzhou University, 350108, China.
Journal of Advanced Research
|September 14, 2020
Summary
This study introduces two novel fractional-order autonomous circuits using fractional-order elements. These circuits offer enhanced design freedom and are validated through mathematical modeling and simulations.
Area of Science:
- Electrical Engineering
- Nonlinear Dynamics
- Circuit Theory
Background:
- Fractional-order circuits offer greater design flexibility compared to traditional integer-order circuits.
- Autonomous circuits are crucial in real-world applications, yet fractional-order autonomous circuits remain under-explored.
- Existing research lacks focus on fractional-order autonomous circuits with orders exceeding one.
Purpose of the Study:
- To propose and analyze two novel fractional-order autonomous circuits.
- To investigate the behavior of fractional-order autonomous circuits with orders greater than one.
- To bridge the gap in research concerning fractional-order autonomous systems.
Main Methods:
- Development of mathematical models for the proposed circuits using fractional calculus.
- Analysis of circuit characteristics based on established circuit theory principles.
- Experimental validation through detailed circuit simulations.
Main Results:
- Successful proposal of two distinct fractional-order autonomous circuit topologies.
- Demonstration of unique characteristics achievable with fractional-order elements in autonomous systems.
- Verification of theoretical models and analyses through simulation results.
Conclusions:
- The proposed fractional-order autonomous circuits are theoretically sound and practically verifiable.
- These circuits expand the possibilities for autonomous system design using fractional calculus.
- Further research into fractional-order autonomous systems is warranted due to their potential.
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