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MIT10_626S11_lec04

# MIT10_626S11_lec04 - I Equivalent Circuit Models Lecture 4...

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(1) where V o is the open circuit voltage and η is the overpotential. There different modes of discharge are discussed below. 1.1 Constant Current When discharging at a constant current, the stored charge Q decreases linearly with time. (2) Assuming the overpotential is only a function of current and charge, equation (1) now can be written as (3) In constant current mode, the “C rate” is often used to describe battery capacity discharging. C rate is defined as I. Equivalent Circuit Models Lecture 4: Equivalent Circuit Dynamics MIT Student 1. Nonlinear Response of a Galvanic Cell Batteries have a finite charge capacity Q max . So the open circuit voltage is dependent upon the current charge state Q . Figure 1 shows an example of the open circuit voltage as a function of charge. The shape of the curve is dependent on the composition of the battery. The general discharge equation for a battery can be written as Q max Q V 0 η <0, I<0, charge η >0, I>0, discharge I=0, open circuit 1 Figure 1: General Nonlinear Response of Batteries

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