Energy storage and loss in fractional-order circuit elements

Author

Hartley, Tom T. ; Veillette, Robert J. ; Adams, Jay L. ; Lorenzo, Carl F.

Author_Institution

Dept. of Electr. & Comput. Eng., Univ. of Akron, Akron, OH, USA

Volume

9

Issue

3

fYear

2015

fDate

5 2015

Firstpage

227

Lastpage

235

Abstract

The efficiency of a general fractional-order circuit element as an energy storage device is analysed. Simple expressions are derived for the proportions of energy that may be transferred into and then recovered from a fractional-order element by either constant-current or constant-voltage charging and discharging. For a half-order element, it is shown that the efficiency of the charging phase of the cycle is equal to the efficiency of the discharging phase. The results demonstrate the duality of the fractional capacitive and inductive elements, in that the efficiency of one under constant-current cycling is the same as the efficiency of the other under constant-voltage cycling, and vice-versa.

Keywords

capacitors; constant-current charging; constant-current cycling; constant-current discharging; constant-voltage charging; constant-voltage cycling; constant-voltage discharging; energy loss; energy storage device; fractional capacitive elements; general fractional-order circuit element; half-order element; inductive elements;

fLanguage

English

Journal_Title

Circuits, Devices & Systems, IET

Publisher

iet

ISSN

1751-858X

Type

jour

DOI

10.1049/iet-cds.2014.0132

Filename

7103406