This article is copyrighted (c) 1996 by Bill Cheek
Here is another angle to broaden the perspective. It's true that batteries
are "current" devices, in a sense. But it is impractical to feed current to
batteries in another sense. In this physical real world, current is much
more a RESULT of something, than a something in itself. Current is a lot
like motion where it just happens when you apply an imbalanced force to a
mass. Likewise, resistance and voltage are the everyday "somethings" and when
put together, current is the result. From that perspective, let's peer
deeper into the basics of recharging ANY battery.
-------------- + | | | _
| D |o---------------||||||-----
| Recharger | + C | | | B |
| | - |
| A |o--------------------------
--------------
1. Correct hookup for recharging is always (+) to (+) and (-) to (-).
2. The recharger's terminal voltage should be higher than the battery's
terminal voltage so that current will flow from A into the battery
via B; out C and back to the recharger into D.
A. If the recharger is 8.600 volts and the battery is 8.600 volts,
then there is a state of equillibrium where current will not flow.
B. If the recharger is 8.600 volts and the battery is 8.599 volts,
then condition (2) above is met, and the battery will recharge
until condition (2A) is met.
C. If the recharger is 8.600 volts and the battery is 8.601 volts,
then the battery will discharge through the recharger until
condition (2A) is met.
3. The actual current flow that results from an imbalance of voltages
between battery and recharger is dependend on the SUM of all series
resistances as follows:
A. Internal resistance of the battery
B. Internal resistance of the recharger
C. Resistance of the path from A to B and C to D.
D. Any physical resistors in the path.
E. factored by any diodes in the path.
4. The below figure is more of a real world situation:
EB
-------------- RL Ls + | | | Rb -
| D /\/\/--|o---------/\/\/---((((---||||||-/\/\/-------
| Rr | + ER C | | | B |
| | - Ls |
| A -------|o----|<-----------))))----------------------
-------------- diode
Where: ER = Recharger voltage
EB = Battery voltage
Rr = internal resistance of recharger
Rb = internal resistance of battery
RL = physical resistor to limit current flow
Ls = series RF chokes (have some resistance, too)
diode = prevents discharge of battery into recharger
5. The MINIMUM voltage required of the recharger (ER), then, is more than
the full recharge terminal voltage of the battery (EB). How much more
is determined by choosing the desired recharged voltage of the battery
and by choosing a safe trickle current charge AFTER the battery is fully
charged and solving the following equation:
ER = EB + Ed + (It)(Rr) + (It)(RL) + (It)(Rb) + (It)(Rls+Rls)
where: ER = Recharger voltage Rb = Internal resistance of battery
It = Trickle charge current EB = battery full charge voltage
Rls = resistance of choke(s) Rr = Internal resistance of recharger
Ed = constant diode drop (0.6v) RL = physical current limiter resistor
6. It is impractical for hobbyists and consumers to calculate the internal
resistances of the recharger and the battery. This is not necessary so
long as we measure the voltage of the recharger under actual connected
conditions. For example, a recharger may produce 17-v under no load, but
drop to 12 volts when producing a current of 100-mA. We can neglect the
internal resistance of the battery since it is very low in comparison to
the real resistances in the circuit. The useful equation becomes:
ER = EB + Ed + (It)(RL) + (It)(Rls+Rls)
and if we add .5 to 1 ohm per choke to the RL, then it gets simpler:
ER = EB + Ed + (It)(RL+)
Thus if we want a 60-mA trickle charge and a battery pack voltage of 8.60v,
and if RL+ is 23 ohms, then solving for ER is easy:
ER = 8.60 + 0.60 + (0.06)(23)
= 9.20 + 1.38
= 10.58v
If the recharger is less than 10.58v at 60-mA, then the battery will
undercharge. If over 10.58v at 60-mA, then the battery will overcharge. The
final variable here becomes RL. Change RL to meet the needs of your battery
packs and rechargers! RL is usually located inside the scanner in the
recharging circuitry, and is typically 22 to 33 ohms. You can jumer it out
in the scanner, (short across it), and use a desired series RL at the plug
that inserts into the RECHARGE jack on the scanner.
This article is copyrighted (c) 1996 by Bill Cheek
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