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Fractional RLC circuit in transient and steady state regimes
Communications in Nonlinear Science and Numerical Simulation ( IF 3.9 ) Pub Date : 2020-12-26 , DOI: 10.1016/j.cnsns.2020.105670
Kristian Haška , Dušan Zorica , Stevan M. Cvetićanin

Assuming accumulated charge being dependent on capacitor voltage memory as well as by expressing magnetic flux in inductor in terms of current memory, generalized capacitor and inductor are constitutively modeled by the sum of terms containing instantaneous and power type hereditary contributions. Constitutive models are further used in analyzing transient and steady state responses of series RLC circuit subject to electromotive force. Depending on model parameters, the character of transfer function changes the behavior of fractional RLC circuit’s impulse response in transient regime from aperiodic, over critically aperiodic, to damped oscillatory. Transition from transient to steady state regime is also analyzed, so as its predominant type depending on element’s fractional order.



中文翻译:

小数 [R大号C 瞬态和稳态状态下的电路

假设累积电荷取决于电容器电压存储器,并且通过根据电流存储器表示电感器中的磁通量,则广义电容器和电感器由包含瞬时和功率类型遗传贡献的项之和构成本构模型。本构模型进一步用于分析串联的瞬态和稳态响应。[R大号C电路受电动势的影响。根据模型参数,传递函数的特征会改变分数的行为[R大号C从非周期性,临界非周期性到阻尼振荡的瞬态状态下,电路的脉冲响应。还分析了从瞬态到稳态状态的过渡,因此其主要类型取决于元素的分数阶。

更新日期:2020-12-27
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