Good day together
Has anyone of you how I can make the Shepherd model for battery dependent on Arrhenius equation with temperature.
Thanks and many greetings
Are you asking, what is the equation, or how to code it? Please provide some information links.
this is the Shepherd Model Equation :
VBatt(t) = V0 − (K.Q / Q−i.t) .i(t) − R . i(t)
where
V0 is the constant voltage (V)
Q is the maximum capacity (Ah)
i.t is the discharged capacity (Ah)
K is thepolarization constant (Ah)−1
and R is internal resistance
Arrhenius equation :
k = A e−Ea/RT
The question is how can I let the equation of the Shepherd model depend on the temperature using the Arrhenius equation
What type of battery?
What type of Shepherd model?
Modeling Stationary Lithium-Ion Batteries for Optimization and Predictive Control

Thanks for that information. You haven't answered my question, or provided any links.
In your post, is 'k' the same as 'K'? You haven't identified the variables for that equation like you did the other one.
https://hal.archives-ouvertes.fr/hal-02471659/document
is not the same K
Lithium-ion
i want to ask you if the last term is the same to Arrhenius Equation ?
Yes.
but I would have to write it in a different form with the temperature yes?
The form depends on how the individual terms are defined. The temperature is included in the model described in the linked paper.
You can do whatever is necessary to create a satisfactory model of the battery.
The PDF file states that the internal resistance or the capacitance loss can be described as a function of the temperature. right ?