Open AccessEnergy storage and loss in fractional‐order circuit elements
Author(s) -
Hartley Tom T.,
Veillette Robert J.,
Adams Jay L.,
Lorenzo Carl F.
Publication year - 2015
Publication title -
iet circuits, devices and systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.251
H-Index - 49
eISSN - 1751-8598
pISSN - 1751-858X
DOI - 10.1049/iet-cds.2014.0132
Subject(s) - constant (computer programming) , voltage , constant phase element , time constant , energy storage , capacitive sensing , constant current , current (fluid) , electrical engineering , mechanics , physics , engineering , thermodynamics , computer science , electrode , power (physics) , quantum mechanics , dielectric spectroscopy , electrochemistry , programming language
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.