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At a fixed time and temperature, is it safe to model a battery as aDepends what you want to do to the battery for any non-trivial charging or discharging rate you ought to take its temperature into consideration too. I^2R heating with a fudge factor probably a good enough proxy.
fixed voltage source behind a series resistance? Possibly, additionally,
a parallel RC to cover transients?
In particular, does the model need to change based on whether theIt might at least near fully charged states or about to be damaged by deep discharge. Manufacturers datasheets are usually helpful.
battery is being charged or discharged? (i.e., to estimate that
series resistance)
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