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2Â¥2015-07-24 10:12:20
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Finite Length Warburg - Open Circuit Terminus        

       Z = R*ctnh(^P) / (I*T*w)^P

       Parameters:        Wo-R, Wo-T, Wo-P

This element is also known as a Generalized Finite Warburg element (GFW). It is an extension of another more common element, the Finite-Length Warburg (FLW).

To use the FLW equation, set Wo-P = 0.5 and set its freedom to 'fixed'.

The FLW is the solution of the one-dimensional diffusion equation of a particle, which is completely analogous to wave transmission in a finite-length RC transmission line.

In the diffusion interpretation Wo-T = L2 / D. (L is the effective diffusion thickness, and D is the effective diffusion coefficient of the particle).

The GFW is similar to this, but for it the square root becomes a continuously varying exponent Ws-P such that 0 < Ws-P < 1.

This version of the Warburg element is terminates in a open circuit. At very low frequencies, the  Z' approaches Wo-R and Z'¡® continues to increase - similar to the behavior of a capacitor.

If the data exhibits only the high frequency (45 degree slope) behavior and not the transition to low frequency behavior, either Wo-R or Wo-T must be set as Fixed(X). Alternately, a CPE can be used in this situation.
3Â¥2015-07-24 10:13:52
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3Â¥: Originally posted by Zw-2015 at 2015-07-24 10:13:52
Finite Length Warburg - Open Circuit Terminus        

       Z = R*ctnh(^P) / (I*T*w)^P

       Parameters:        Wo-R, Wo-T, Wo-P

This element is also known as a Generalized Finite Warburg  ...

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