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honeyduck

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ÏÖÔÚÏëÒªÓõ½zviewÖеÄCPEºÍWarburgÔ­¼þ£¬ÇëÎʸ÷ÊÇʲôÒâ˼£¬ÔõÑùµÄÔ­¼þ£¿CPE1¡ªT,CPE1¡ªpºÍW1-R,W1-T,W1-P¸÷²ÎÊý´ú±íʲô¡£ÒÔ¼°ZviewÖеÄWo(Warburg element(open))ºÍWs(Warburg element(short))ÓÐÊ²Ã´Çø±ð?
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mengfan

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ratio(½ð±Ò+2):ллӦÖú£¬»¶Ó­³£À´£¡£¡ 2010-04-27 18:09
Finite Length Warburg - Open Circuit Terminus        



       Z = R*ctnh([I*T*w]^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.

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XeTaL
4Â¥2010-04-27 10:12:08
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qiuning8878

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2Â¥2009-07-05 20:06:05
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mengfan

Ìú¸Ëľ³æ (ÕýʽдÊÖ)

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XeTaL
3Â¥2010-04-27 10:11:47
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mengfan

Ìú¸Ëľ³æ (ÕýʽдÊÖ)

Finite Length Warburg - Short Circuit Terminus        



       Z = R*tanh([I*T*w]^P) / (I*T*w)^P        Parameters: Ws-R, Ws-T, Ws-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 Ws-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 Ws-T = L^2 / 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.



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.



This version of the Warburg element is terminates in a finite resistance. At very low frequencies, Z¡¯ approaches Ws-R and Z¡¯¡® goes to zero
XeTaL
5Â¥2010-04-27 10:12:28
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

strawboss

ľ³æ (ÕýʽдÊÖ)

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6Â¥2014-09-01 18:50:46
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ĦÌìÂÖ5920

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7Â¥2017-02-13 21:20:23
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ÊÅË®aa

ľ³æ (ÖøÃûдÊÖ)

¡ï
Сľ³æ: ½ð±Ò+0.5, ¸ø¸öºì°ü£¬Ð»Ð»»ØÌû
Ëͺ컨һ¶ä
ÒýÓûØÌû:
4Â¥: Originally posted by mengfan at 2010-04-27 10:12:08
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  ...

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8Â¥2017-03-27 16:45:41
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ÊÅË®aa

ľ³æ (ÖøÃûдÊÖ)

ÒýÓûØÌû:
8Â¥: Originally posted by ÊÅË®aa at 2017-03-27 16:45:41
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9Â¥2017-03-27 16:46:31
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jhl2011

гæ (СÓÐÃûÆø)

¡ï
Сľ³æ: ½ð±Ò+0.5, ¸ø¸öºì°ü£¬Ð»Ð»»ØÌû
ÒýÓûØÌû:
4Â¥: Originally posted by mengfan at 2010-04-27 10:12:08
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  ...

ÇëÎÊ
Z = R*ctnh([I*T*w]^P) / (I*T*w)^P
   Parameters:        Wo-R, Wo-T, Wo-P
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10Â¥2017-06-19 10:37:19
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