Energy storage and loss in fractional-order circuit elements

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

Energy storage and loss in fractional-order circuit elements

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Author(s): Tom T. Hartley ¹ ; Robert J. Veillette ¹ ; Jay L. Adams ¹ ; Carl F. Lorenzo ²
- Affiliations: 1: Department of Electrical and Computer Engineering, The University of Akron, Akron, OH 44325-3904, USA ;
  2: NASA Glenn Research Center, MS 77-1, 21000 Brookpark Road, Cleveland, OH 44135, USA
Source: Volume 9, Issue 3, May 2015, p. 227 – 235
DOI: 10.1049/iet-cds.2014.0132 , Print ISSN 1751-858X, Online ISSN 1751-8598

Received 09/05/2014, Accepted 30/09/2014, Revised 08/09/2014, Published 01/05/2015

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.

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Energy storage and loss in fractional-order circuit elements

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