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Fractional-Order Components and Their Basic Circuits

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Fractional-Order Electrical Circuit Theory

Part of the book series: CPSS Power Electronics Series ((CPSS))

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Abstract

Fractional-order circuit is a kind of circuit that contains fractional-order components, such as the fractional-order inductor, fractional-order capacitor, and fractional-order mutual inductor. Different from the integer-order component that is described by first-order calculus, the current–voltage relationship of the fractional-order components is modeled as fractional-order calculus. In fact, the ideal integer-order inductor or capacitor does not exist. Since the orders of most components are normally close to 1, they are treated as 1 with neglecting their fractional-order characteristics

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Authors and Affiliations

  1. School of Electric Power, South China University of Technology, Guangzhou, China

    Bo Zhang

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

    Xujian Shu

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  1. Bo Zhang
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  2. Xujian Shu
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Correspondence to Bo Zhang .

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Zhang, B., Shu, X. (2022). Fractional-Order Components and Their Basic Circuits. In: Fractional-Order Electrical Circuit Theory. CPSS Power Electronics Series. Springer, Singapore. https://doi.org/10.1007/978-981-16-2822-1_2

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  • DOI: https://doi.org/10.1007/978-981-16-2822-1_2

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-16-2821-4

  • Online ISBN: 978-981-16-2822-1

  • eBook Packages: EnergyEnergy (R0)

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