MIT10_626S11_lec03

# MIT10_626S11_lec03 - I Equivalent Circuit Models Lecture 3...

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I. Equivalent Circuit Models Lecture 3: Electrochemical Energy Storage MIT Student In this lecture, we will learn some examples of electrochemical energy storage. A general idea of electrochemical energy storage is shown in Figure 1. When the electrochemical energy system is connected to an external source (connect OB in Figure 1), it is charged by the source and a finite charge Q is stored. So the system converts the electric energy into the stored chemical energy in charging process. When the system is connected to an external resistive circuit (connect OA in Figure 1), it releases the finite Q and drives a current through the external circuit. The system converts the stored chemical energy into electric energy in discharging process. Stored chemical energy (finite Q) O B Discharging Charging I A A simple example of energy storage is capacitor. Figure 2 shows the basic circuit for capacitor discharge. Here we talk about the integral capacitance. The capacitance is defined as a constant The current is (1) (2) 1 Figure 1: Electrochemical Energy Storage

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10.626 (2011) Bazant The voltage applied to the external resistance is (3) Plug (1) and (2) into (3) and use the total resistance , then we get (4) Apply the initial condition , we can solve the equation (5) The relation between stored charge and time is shown in Figure 3, where is called decay time. C
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MIT10_626S11_lec03 - I Equivalent Circuit Models Lecture 3...

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