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Q&A During a Li-ion cell charge or discharge at 1C rate, are the electrode interfaces at thermodynamic equilibrium?

Please, have a look at this thesis, from P. 12 to the end. The bottom line is that the Buttler-Volmer equation, which is in fact equation (13) derived in P. 12 to 16 (called by the author the elec...

posted 3y ago by coquelicot‭  ·  edited 3y ago by coquelicot‭

Answer
#6: Post edited by user avatar coquelicot‭ · 2021-06-21T10:56:37Z (over 3 years ago)
  • Please, have a look at this [thesis](https://repository.asu.edu/attachments/94075/content//tmp/package-1_aV9Z/Kong_asu_0010N_12143.pdf), from P. 12 to the end.
  • The bottom line is that the Buttler-Volmer equation, that is in fact equation (13) derived in P. 12 to 16 (called by the author _the electrochemical diffusion model_), is said to be _the most accurate battery model_. So, it is certainly not disregarded, but on the contrary, IT IS CONSIDERED TO BE THE BEST BATTERY MODEL (despite its differential equation form).
  • Now, as always, you have a differential equation that is hardly tractable, so, you have to introduce simpler models that are more practical, albeit less accurate.
  • In this line, there are several equivalent circuit models of cells, that are applicable in more or less general conditions, depending upon the desired accuracy and the exterior conditions.
  • I don't know whether someone has derived the equivalent circuit models, usually first found by reckoning with more basic principles, as an approximation process of the Buttler-Volmer equation, but that's very probable to the best of my knowledge of the current state of academic research. Usually, the derivation of such models involves completing the equations with other principles depending upon the material into consideration, akin the equations of Electromagnetics in mater, where Maxwell equations in vacuum have to be completed by other principles like "Constitutive relations".
  • It is probably just a question of effort to find the relevant article that describes this derivation.
  • Please, have a look at this [thesis](https://repository.asu.edu/attachments/94075/content//tmp/package-1_aV9Z/Kong_asu_0010N_12143.pdf), from P. 12 to the end.
  • The bottom line is that the Buttler-Volmer equation, which is in fact equation (13) derived in P. 12 to 16 (called by the author _the electrochemical diffusion model_), is said to be _the most accurate battery model_. So, it is certainly not disregarded, but on the contrary, IT IS CONSIDERED TO BE THE BEST BATTERY MODEL (despite its differential equation form).
  • Now, as always, you have a differential equation that is hardly tractable, so, you have to introduce simpler models that are more practical, albeit less accurate.
  • In this line, there are several equivalent circuit models of cells, that are applicable in more or less general conditions, depending upon the desired accuracy and the exterior conditions.
  • I don't know whether someone has derived the equivalent circuit models, usually first found by reckoning with more basic principles, as an approximation process of the Buttler-Volmer equation, but that's very probable to the best of my knowledge of the current state of academic research. Usually, the derivation of such models involves completing the equations with other principles depending upon the material into consideration, akin the equations of Electromagnetics in mater, where Maxwell equations in vacuum have to be completed by other principles like "Constitutive relations".
  • It is probably just a question of effort to find the relevant article that describes this derivation.
#5: Post edited by user avatar coquelicot‭ · 2021-06-21T10:42:56Z (over 3 years ago)
  • Please, have a look at this [thesis](https://repository.asu.edu/attachments/94075/content//tmp/package-1_aV9Z/Kong_asu_0010N_12143.pdf), from P. 12 to the end.
  • The bottom line is that the Buttler-Volmer equation, that is in fact equation (13) derived in P. 12 to 16 (called by the author _the electrochemical diffusion model_), is said to be _the most accurate battery model_. So, it is certainly not disregarded, but on the contrary, IT IS CONSIDERED TO BE THE BEST BATTERY MODEL (despite its differential equation form).
  • Now, as always, you have a differential equation that is hardly tractable, so, you have to introduce simpler models that are more practical, albeit less accurate.
  • In this line, there are several equivalent circuit models of cells, that are applicable in more or less general conditions, depending upon the desired accuracy and the exterior conditions.
  • I don't know whether someone has derived the equivalent circuit models, usually first found by reckoning with more basic principles, as an approximation process of the Buttler-Volmer equation, but that's very probable to the best of my knowledge of the current state of academic research. Usually, the derivation of such models involves completing the equations with other principles depending upon the material into consideration, akin the equation of Electromagnetics in mater, where Maxwell equations in vacuum have to be completed by other principles like "Constitutive relations".
  • It is probably just a question of effort to find the relevant article that describes this derivation.
  • Please, have a look at this [thesis](https://repository.asu.edu/attachments/94075/content//tmp/package-1_aV9Z/Kong_asu_0010N_12143.pdf), from P. 12 to the end.
  • The bottom line is that the Buttler-Volmer equation, that is in fact equation (13) derived in P. 12 to 16 (called by the author _the electrochemical diffusion model_), is said to be _the most accurate battery model_. So, it is certainly not disregarded, but on the contrary, IT IS CONSIDERED TO BE THE BEST BATTERY MODEL (despite its differential equation form).
  • Now, as always, you have a differential equation that is hardly tractable, so, you have to introduce simpler models that are more practical, albeit less accurate.
  • In this line, there are several equivalent circuit models of cells, that are applicable in more or less general conditions, depending upon the desired accuracy and the exterior conditions.
  • I don't know whether someone has derived the equivalent circuit models, usually first found by reckoning with more basic principles, as an approximation process of the Buttler-Volmer equation, but that's very probable to the best of my knowledge of the current state of academic research. Usually, the derivation of such models involves completing the equations with other principles depending upon the material into consideration, akin the equations of Electromagnetics in mater, where Maxwell equations in vacuum have to be completed by other principles like "Constitutive relations".
  • It is probably just a question of effort to find the relevant article that describes this derivation.
#4: Post edited by user avatar coquelicot‭ · 2021-06-21T10:41:36Z (over 3 years ago)
  • Please, have a look at this [thesis](https://repository.asu.edu/attachments/94075/content//tmp/package-1_aV9Z/Kong_asu_0010N_12143.pdf), from P. 12 to the end.
  • The bottom line is that the Buttler-Volmer equation, that is in fact equation (13) derived in P. 12 to 16 (called there the the electrochemical diffusion model), is said to be _the most accurate battery model_. So, it's certainly not disregarded, but on the contrary, IT IS CONSIDERED TO BE THE BEST BATTERY MODEL (despite its differential equation form).
  • Now, as always, you have a differential equation that is hardly tractable, so, you have to introduce simpler models that are more practical, albeit less accurate.
  • In this line, there are several equivalent circuit models of cells, that are applicable in more or less general conditions, depending upon the desired accuracy and the exterior conditions.
  • I don't know whether someone has derived the equivalent circuit models, usually first found by reckoning with more basic principles, as an approximation process of the Buttler-Volmer equation, but that's very probable to the best of my knowledge of the current state of academic research. Usually, the derivation of such models involves completing the equations with other principles depending upon the material into consideration, akin the equation of Electromagnetics in mater, where Maxwell equations in vacuum have to be completed by other principles like "Constitutive relations".
  • It is probably just a question of effort to find the relevant article that describes this derivation.
  • Please, have a look at this [thesis](https://repository.asu.edu/attachments/94075/content//tmp/package-1_aV9Z/Kong_asu_0010N_12143.pdf), from P. 12 to the end.
  • The bottom line is that the Buttler-Volmer equation, that is in fact equation (13) derived in P. 12 to 16 (called by the author _the electrochemical diffusion model_), is said to be _the most accurate battery model_. So, it is certainly not disregarded, but on the contrary, IT IS CONSIDERED TO BE THE BEST BATTERY MODEL (despite its differential equation form).
  • Now, as always, you have a differential equation that is hardly tractable, so, you have to introduce simpler models that are more practical, albeit less accurate.
  • In this line, there are several equivalent circuit models of cells, that are applicable in more or less general conditions, depending upon the desired accuracy and the exterior conditions.
  • I don't know whether someone has derived the equivalent circuit models, usually first found by reckoning with more basic principles, as an approximation process of the Buttler-Volmer equation, but that's very probable to the best of my knowledge of the current state of academic research. Usually, the derivation of such models involves completing the equations with other principles depending upon the material into consideration, akin the equation of Electromagnetics in mater, where Maxwell equations in vacuum have to be completed by other principles like "Constitutive relations".
  • It is probably just a question of effort to find the relevant article that describes this derivation.
#3: Post edited by user avatar coquelicot‭ · 2021-06-21T10:40:29Z (over 3 years ago)
  • Please, have a look at this [thesis](https://repository.asu.edu/attachments/94075/content//tmp/package-1_aV9Z/Kong_asu_0010N_12143.pdf), from P. 12 to the end.
  • The bottom line is that the Buttler-Volmer equation, that is in fact equation (13) derived in P. 12 to 16 (called there the the electrochemical diffusion model), is said to be _the most accurate battery model_. So, it's certainly not disregarded, but on the contrary, IT IS CONSIDERED TO BE THE BEST BATTERY MODEL (despite its differential equation form).
  • Now, as always, you have a differential equation that is hardly tractable, so, you have to introduce simpler models that are more practical, albeit less accurate.
  • In this line, there are several equivalent circuit models of cells, that are applicable in more or less general conditions, depending upon the desired accuracy and the exterior conditions.
  • I don't know whether someone has derived the equivalent circuit models, usually first found by reckoning with more basic principles, as an approximation process of the Buttler-Volmer equation, but that's very probable to the best of my knowledge of the current state of academic research.
  • It is probably just a question of effort to find the relevant article that describes this derivation.
  • Please, have a look at this [thesis](https://repository.asu.edu/attachments/94075/content//tmp/package-1_aV9Z/Kong_asu_0010N_12143.pdf), from P. 12 to the end.
  • The bottom line is that the Buttler-Volmer equation, that is in fact equation (13) derived in P. 12 to 16 (called there the the electrochemical diffusion model), is said to be _the most accurate battery model_. So, it's certainly not disregarded, but on the contrary, IT IS CONSIDERED TO BE THE BEST BATTERY MODEL (despite its differential equation form).
  • Now, as always, you have a differential equation that is hardly tractable, so, you have to introduce simpler models that are more practical, albeit less accurate.
  • In this line, there are several equivalent circuit models of cells, that are applicable in more or less general conditions, depending upon the desired accuracy and the exterior conditions.
  • I don't know whether someone has derived the equivalent circuit models, usually first found by reckoning with more basic principles, as an approximation process of the Buttler-Volmer equation, but that's very probable to the best of my knowledge of the current state of academic research. Usually, the derivation of such models involves completing the equations with other principles depending upon the material into consideration, akin the equation of Electromagnetics in mater, where Maxwell equations in vacuum have to be completed by other principles like "Constitutive relations".
  • It is probably just a question of effort to find the relevant article that describes this derivation.
#2: Post edited by user avatar coquelicot‭ · 2021-06-21T10:30:42Z (over 3 years ago)
  • Please, have a look at this [thesis](https://repository.asu.edu/attachments/94075/content//tmp/package-1_aV9Z/Kong_asu_0010N_12143.pdf), from P. 12 to the end.
  • The bottom line is that the Buttler-Volmer equation, that is in fact equation (13) derived in P. 12 to 16 (called there the the electrochemical diffusion model), is said to be _the most accurate battery model_. So, it's certainly not disregarded, but on the contrary, IT IS CONSIDERED TO BE THE BEST BATTERY MODEL (despite its differential equation form).
  • Now, as always, you have a differential equation that is hardly tractable, so, you have introduce simpler models that are more practical, albeit less accurate.
  • In this line, there are several equivalent circuit models of cells, that are applicable in more or less general conditions, depending upon the desired accuracy and the exterior conditions.
  • I don't know whether someone has derived the equivalent circuit models, usually first found by reckoning with more basic principles, as an approximation process of the Buttler-Volmer equation, but that's very probable to the best of my knowledge of the current state of academic research.
  • It is probably just a question of effort to find the relevant article that describes this derivation.
  • Please, have a look at this [thesis](https://repository.asu.edu/attachments/94075/content//tmp/package-1_aV9Z/Kong_asu_0010N_12143.pdf), from P. 12 to the end.
  • The bottom line is that the Buttler-Volmer equation, that is in fact equation (13) derived in P. 12 to 16 (called there the the electrochemical diffusion model), is said to be _the most accurate battery model_. So, it's certainly not disregarded, but on the contrary, IT IS CONSIDERED TO BE THE BEST BATTERY MODEL (despite its differential equation form).
  • Now, as always, you have a differential equation that is hardly tractable, so, you have to introduce simpler models that are more practical, albeit less accurate.
  • In this line, there are several equivalent circuit models of cells, that are applicable in more or less general conditions, depending upon the desired accuracy and the exterior conditions.
  • I don't know whether someone has derived the equivalent circuit models, usually first found by reckoning with more basic principles, as an approximation process of the Buttler-Volmer equation, but that's very probable to the best of my knowledge of the current state of academic research.
  • It is probably just a question of effort to find the relevant article that describes this derivation.
#1: Initial revision by user avatar coquelicot‭ · 2021-06-21T10:29:51Z (over 3 years ago) 
Please, have a look at this [thesis](https://repository.asu.edu/attachments/94075/content//tmp/package-1_aV9Z/Kong_asu_0010N_12143.pdf), from P. 12 to the end. 

The bottom line is that the Buttler-Volmer equation, that is in fact equation (13) derived in P. 12 to 16 (called there the the electrochemical diffusion model), is said to be _the most accurate battery model_. So, it's certainly not disregarded, but on the contrary, IT IS CONSIDERED TO BE THE BEST BATTERY MODEL (despite its differential equation form).

Now, as always, you have a differential equation that is hardly tractable, so, you have introduce simpler models that are more practical, albeit less accurate. 
In this line, there are several equivalent circuit models of cells, that are applicable in more or less general conditions, depending upon the desired accuracy and the exterior conditions. 

I don't know whether someone has derived the equivalent circuit models, usually first found by reckoning with more basic principles, as an approximation process of the Buttler-Volmer equation, but that's very probable to the best of my knowledge of the current state of academic research.

It is probably just a question of effort to find the relevant article that describes this derivation.