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Inherent anti-interference in fractional-order autonomous coupled resonator

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Abstract

Coupled resonator is one of the fundamental physical systems, which has always been modeled by integer-order calculus or composed of integer-order components. To achieve wider operating area of low power consumption, the energy distribution of coupled resonator is often expected to be robust. However, the energy distribution is susceptible to the interference of resonator parameters shifting in real world, such as coupling strength and resonator frequency. Traditionally, the anti-interference ability of integer-order coupled resonator can be acquired by using externally and additionally complicated control. Here, we report an alternative fractional-order autonomous coupled resonator, in which the anti-interference ability can inherently arise through its fractional-order nature. By using the equivalent coupling circuit of fractional-order autonomous coupled resonator, its energy characteristics are analyzed. Moreover, we theoretically find and experimentally prove that the energy distribution of the fractional-order coupled resonator could be locked by the order of fractional-order element. Our work could help coupled resonator acquire unprecedented anti-interference ability.

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Funding

This study was funded by the Key Program of the National Natural Science Foundation of China (51437005) for funding the project.

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Authors and Affiliations

  1. College of Electric Engineering and Automation, Fuzhou University, Fuzhou, 350108, China

    Yanwei Jiang & Wei Chen

  2. School of Electric Power Engineering, South China University of Technology, Guangzhou, 510641, China

    Bo Zhang

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  1. Yanwei Jiang
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  2. Bo Zhang
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  3. Wei Chen
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Correspondence to Bo Zhang.

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Jiang, Y., Zhang, B. & Chen, W. Inherent anti-interference in fractional-order autonomous coupled resonator. Nonlinear Dyn 105, 1703–1711 (2021). https://doi.org/10.1007/s11071-021-06691-x

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