Dissipative and generative fractional electric elements in modeling RC and RL circuits

被引：0

作者：

Haska, Kristian ^{[1
]}

Cveticanin, Stevan M. ^{[1
]}

Zorica, Dusan ^{[2
,3
]}

机构：

[1] Univ Novi Sad, Fac Tech Sci, Dept Power Elect & Telecommun Engn, Trg D Obradovica 6, Novi Sad 21000, Serbia

[2] Univ Novi Sad, Fac Sci, Dept Phys, Trg D Obradovica 4, Novi Sad 21000, Serbia

[3] Serbian Acad Arts & Sci, Math Inst, Kneza Mihaila 36, Belgrade 11000, Serbia

来源：

NONLINEAR DYNAMICS | 2021年 / 105卷 / 04期

关键词：

Dissipative and generative electric elements; Memory type fractional constitutive models; Fractional RC and RL circuits; Transient and steady-state regimes; Frequency and asymptotic analysis; TRANSIENT STATE; CAPACITOR; PARALLEL; SERIES;

D O I：

10.1007/s11071-021-06809-1

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Two types of constitutive equations consisting of instantaneous and power type hereditary contributions are proposed in order to model generalized capacitor (inductor). The first one, that expresses charge (magnetic flux) in terms of voltage (current) memory, proved to describe a dissipative electric element, while the second one, that expresses voltage (current) in terms of charge (magnetic flux) memory, proved to describe a generative electric element. These constitutive models are used in transient and steady state regime analysis of the series RC and RL circuits subject to electromotive force, as well as in the study of circuits' frequency characteristics including their asymptotic behavior.

引用

页码：3451 / 3474

页数：24

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