The microscopic model of discharging in the case of a lead-acid battery: Page 3 of 4

August 10, 2015 //By Szabo Levente
The microscopic model of discharging in the case of a lead-acid battery
Szabo Levente explains a microscopic model of discharging in the case of a lead-acid battery.
the 10. We consider that the elements are located along a line perpendicular to the electrode area. Other spatial distribution cannot be considered correct, because the neighboring places of this area are occupied by other elements outside our zone. We consider the electrical field homogeneous in the whole space that is studied. In Figure 1 we see a table of distribution of the primary and secondary elements and the evolution in time of all processes.

Figure 1: The primary (p) and the secondary (s) element distribution
 
In the first step the first primary element releases electrons to the electrode and as the result of the reaction a secondary element appears. In the next step the secondary element changes places with its primary element neighbor. The new primary element near the electrode area releases new electrons and after the reaction it transforms to a secondary element. Pending this time the secondary element produced in the first step changes places with its primary element neighbor. If the time of a reaction and the time of changing places of two elements are equal, then the result can be represented graphically as a line shown in Figure 2.

 


Figure 2: The time of a reaction and the time of changing places

The line has a rectangular form. The high level represents the release of the electrons, and the low level represents the pause, in other words the change of places of the elements.
 
The model of the electrical circuit
 
In the previous chapters we have concentrated on the microscopic phenomenon of the units in the reaction area and we have avoided detailing the command module and the relays which we consider ideal. We present the electrical schema of the circuits in Figure 3.

 

Figure 3: The battery model
   

The capacitors are fully charged with the unit of quantity of electricity (depends on the number of electrons released

Design category: 

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