Post #5
4)Can one predict power loss between the panel and controller and predict the effect on output power (charging current and watts) with reasonable accuracy?
5)If one knows the resistance and current between the panel and controller can one predict the power to the battery with Series vs. parallel panels and longer or higher resistance paths between the panel and controller? (really an expansion of the above question)
So with a MPPT controller, how does a long extension cord (cable power loss) affect the output power? In my case the 90ft of cable has an R=0.015 calculated, so using this number, I calculated the expected output power loss for a series and parallel panel configuration.
At Imp (4.5A) I calculated the power loss to be 3W (1/4A) for series connected panels and 12 W (1A) for parallel connected panels. However, for this measurement I repeated the calculation using actual measured panel current.
For series, cable power loss is I^2R, or V*I or V^2/R. To satisfy Salvo Iโll use V*I to calculate the power loss. R=0.15ohms, I= 4.4A, therefore the voltage drop across the cable would be 4.4A*0.15ohms=0.660V. Therefore the power loss in the cable would be V*I= 0.660*4.4=2.90watts. The expected drop in output current (charging current) would be about 2.90W/13V= 0.2A. Not much, worth the loss if I can get the panels in the sun.
For parallel configuration, same calculations, but I am now estimated to be 8.8A. Therefore voltage drop= 8.8*0.15=1.32V, power loss = 1.32*8.8=11.6W. Or about 11.6/13=0.9 A. Uggโฆ
Note that the parallel case with double the current has 4x the power loss, not double the power loss. (11.6W vs. 2.9W)
So now with the panels and cable ready for quick changes, I checked the input and output conditions once more, everything consistent with the initial measurements, and then added 90ft of my extension cord and redid the measurements for series and parallel configurations.
Series connection with 90ft of cable.
Vmpptin=30.5V (TX3DMM)
Impptin=4.5A (DCM330)
MPPT power in= 30.5*4.5=137W
Vbat=13.39 (TX3DMM)
Ibat=10.1A (Trimetric)
Power to the battery =13.39*10.1=135.2
Conclusion:
Measurement uncertainty and repeatability is probably compromising results. Couple that with possible slight variation in solar radiation. Trying to resolve a 3 watt change with a shift in time is suspect. About all I can conclude is that observed results are consistent with the calculated analysis, a few % change in output power and that with the low current and low resistance, the extension cord isnโt making a noticeable (to me at least) change in available power to the batteries.
Parallel connection with 90ft of cable
Vmpptin=14.60V (TX3DMM)
Impptin=8.3A (DM330)
MPPT power in=14.60*8.3=121W
Vbat= 13.50V (TX3DMM)
Ibat=9.0A
Power to battery= 121.5W
Output power dropped about 12 Watts compared to earlier measurements, and output current by about 1.1A. When I quickly unhooked the cable and configured in series with short cable, output current jumped right back up to 10A. I then quickly when back to 90 ft of cable and current dropped again to 9.1A So, while a change of a few watts is hard to observe, bigger expected changes are consistent with actual measured results.
Conclusion:
1)If you have an estimate of panel output current and cable resistance you can do a reasonable accurate estimate of cable power loss and estimate loss of output current.
2)Even with what one would often consider low current, (8A) and low resistance (0.15ohm) noticeable charge current and charging power loss in watts can occur. Most noticeable with portable panels with long runs. If I can increase charging current by .75A -1.0A by going series vs. parallel, why wouldnโt I??
3)If youโre looking at power losses in a few watts range and even in the 10W range, unless you have very constant and clear skies, and measurement equipment with high resolution, it could be very hard to verify the expected results.
In any event, doing a power loss calculation for your setup certainly makes sense.
Now for those who might say, โWell, a 100ft run to a portable panel is really not a realistic user situation anywayโ. What I will say is for ME, it IS. When we dry camp, often it is in the trees, and if I set panels close to the trailer, to get decent sun they need to be moved very often, sometimes every hour or so, and still only gives me sun for 6 hours.
If I can get 50-100 ft away I can get the panels in direct sun from sunup to sundown, and not need to move them, thatโs what we do.
And if I can do it with very minimal power loss with a series configuration so much the better.
Kinda like having your cake and eating it to!
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