Home | My Profile | Contact Us
Research Trends Products  |   order gateway  |   author gateway  |   editor gateway  
Register | Forgot Password

Author Resources
 Author Gateway
 Article submission guidelines

Editor Resources
 Editor/Referee Gateway

 Regional Subscription Agents/Distributors
Current Topics in Electrochemistry   Volumes    Volume 4 
The Phasance concept: a review
Jean Jacquelin
Pages: 127 - 136
Number of pages: 10
Current Topics in Electrochemistry
Volume 4 

Copyright © 1997 Research Trends. All rights reserved

The Phasance concept is introduced using either a practical or a theoretical approach. The potential difference, function of time, V (t), causing a current, I(t), to flow in a circuit element, can be expressed in terms of the fractional derivative of the current, thanks to the Rieman-Liouville transform: V = Pφ.dvI/dtv, where Pφ is the Phasance and v is the degree of fractional derivation. In the sinusoidal case, the relationship between the impedance (Z) and the Phasance is Z = Pφ(iω)v, where v is related to the phase angle displacement (φ). A basic element, so-called Phasor (Pφ,v=2φ/π), is described in the case of constant Pφ and v. The key characteristic of this element is a constant energy efficiency. The consideration of Resistance, Capacitance, Inductance as boundary cases of Phasance, leads to a more general approach in mathematical treatments. Theoretical and practical examples are presented, which result from a review of information, notions, and ideas derived from the literature. The unified concept of Phasance is especially useful in Electrochemistry. Thanks to this theoretical basis, one can understand why some kinds of complex impedance behaviours are so common and are likely to be caused by many different phenomena. This is also the starting point for the derivation of a number of models and equivalent circuits.
Buy this Article


Buy this article
Buy this volume
Subscribe to this title
Shopping Cart

Quick Links
Search Products
Browse in Alphabetical Order : Journals
Browse by Subject Classification : Journals

Ordering Information Ordering Information
Downloadable forms Downloadable Forms