brulaz wrote:
OldSmokey wrote:
BFL13 wrote:
"- battery V drop under load is halved on a % basis at 24v"
Is that true? It might be halved or doubled as such, but I would think on a Percentage
Basis it would be the same. Please elaborate--my brain quit :)
assume T105RE with internal resistance of 0.001 Ohms per cell and 1200 Watt load
for 12V we have 6 cells so 0.001*6*100 A = 0.6 V
0.6/12*100% = 5 percent drop
for 24V we have 12 cells so 0.001*12*50 A = 0.6 V
0.6/24*100 = 2.5 percent drop
OK, East coast is back online with a cup of coffee, and even after sleeping on it I'm still confused by OldSmokey's example.
The 24V example uses four T105REs in series to get 12 cells and 24V.
But it appears that the 12V example only uses two T105REs to get 6 cells and 12V. What about the other two T105REs in parallel?
Wouldn't they effectively reduce the internal resistance by half and the V drop by half?
Making the %V drop identical to the 24V example.
too much coffee... LOL
what about the other two RE's in parallel.. ?? I dunno, no one mentioned parallel batteries ?
so lets do it now and before we do, let's have an Ohms law refresher
Ohms law.. in plain language states that the current through a conductor between two points is directly proportional to the voltage across the two points.
using the standard symbols we have:
V = Volts
I = Current in Amperes
R = resistance in Ohms
If we know two of the three variables then we can derive the third so we get
V = I * R
I = V / R
R = V / I
also relevant to this topic is resistors in parallel and Power in Watts. watts can be
derived from any of the other variables we have here so we have
W = V * I
W = I*I * R
W = ( V * V ) / R
the resistance of any number of resistors in parallel is defined as
the reciprocal of the sum of the reciprocals of all resistors
so we have R = 1 / ( 1/R + 1/R + 1/R ...)
example: we have two resistors of 10 Ohms each
the total is 1 / (1/10 + 1/10) and 1/10 = 0.1 so we get 1.0 / 0.2
and that's now 5 Ohms
for resistors in series, well you just add the values together..
now, batteries also behave like a resistor. In my post I used the figure from Trojan for the T105RE. It doesn't matter really what battery you use just as long as we know the internal resistance. for this example we are going to IGNORE any cable or connection post
resistance and focus on just the battery.
for the T105 it's 0.001 Ohms per 2V cell, so a 6V battery has R = 0.003 Ohms
so we get 1 / ( 1/0.003 + 1/0.003 ) = 0.0015 Ohms for the 2P pack
and 0.0015 + 0.0015 = 0.003 for the series pack
using my earlier load of 1200 Watts and 12 Volts
we get 1200 / 12 = 100 Amps. 0.003 * 100 = 0.3 Volts
as a percentage of the battery voltage we now get 0.3/12*100 = 2.5 percent. same as the 24 Volt string.
so your answer is yes, the voltage drop will be half.
any advantage ? well, not really.. you need more heavy cables to interconnect the batteries and you still have the same total energy ( 450Ah*12 ) vs ( 24V*225Ah ) you also need a bigger CC to charge the 12V pack..