How to calculate panels and batteries
higgins
Solar Expert Posts: 56 ✭✭✭✭
I would like to know if there is a ratio of panels per battery for charging or does more panels mean enough power to offset losses or does it not matter if you have a solar charge controller,would i still need to calculate to match them up?
Higgins
Higgins
Comments
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Re: How to calculate panels and batteries
Physically, some basic rules of thumbs (just a starting point--your needs can modify). Battery Charging:- 20 Hour Battery capacity * 0.05 = minimum recommended charger current
- 20 Hour Battery capacity * 0.13 = maximum recommended charger current
- Battery self discharge runs from a few percent per month (AGM's) to 1+% per day (old forklift batteries). May need additional solar panels to keep up old batteries.
- Daily load * 3 days of no sun * 1/0.50 max discharge = 6x daily loads
- 0.77 * solar panel rating + charge controller losses
- 0.80 to 0.90 battery charging efficiency (flooded cell to AGM type)
- Call an AC inverter 0.85 efficient
- 0.77 * 0.80 * 0.85 = 0.52 end to end efficiency (120/230/240 VAC useful power out)
- 2 hours of full sun per day (winter, coastal/island locations)
- 4-5 hours of full sun--rough yearly average good sun
- 5-6 hours of full sun--good summer sun in south west US
- 6+ hours of full sun in Africa/Middle Eastern deserts
- 1,000 watts of panels * 4 hours of sun * 0.52 derating = 2,080 Watt*Hours per average sun
- 2,080 WH * 1/12 volts * 3 days no sun * 1/0.50 max disch * 1/0.85 eff inverter = 1,224 Amp*Hours @ 12 volts (20 Hour Rate)
- 12 volt bank * 100 amps = 1,200 watts max load/charge rate
- 24 volt bank * 100 amps = 2,400 watts max
- 48 volt bank * 100 amps = 4,800 watts (people do larger current--because 48 volts is typical maximum bank voltage for solar RE equipment because of NEC safety rules)
Also, Diesel gensets should be operated at ~60% minimum load for clean burning and long mechanical life.
So, to design a charger/generator setup for the above 1,000 watt solar system. Assume 50% minimum generator load, assume 0.80 charger efficiency, assume 5-13% battery charging rate (note, generator size based on 50% load factor):- 1,224 AH * 14.5 volt charging * 1/0.80 chrgr eff * 0.05 min chrg rate * 0.50 generator load = 555 watts minimum generator size
- 1,224 AH * 14.5 volt charging * 1/0.80 chrgr eff * 0.13 min chrg rate * 0.50 generator load = 1,442 watts maximum generator size
In general, it is difficult to find a "prime mover" rated power plant in the 500-1,500 watt range... Yet, charging with a 5-10kW diesel genset is ridiculously over-sized and--if done correctly--would need dump loads to operate the genset at a minimum 50% load.
In the end--the battery is the "heart" of your off-grid system... And, is the only part (besides the genset) if abused, will have a very short life (sometimes measured in months).
How you "treat" your battery pretty much defines it ultimate life. Will you get the 5-10 years stated by the manufacturer, or 1-2 years (or less) as you have read here from folks that did not look at "all the variables" -- and in the end, simply did not keep the battery in the 75-90% state of charge operating range day in and day out.
Over charging (over equalizing) and boiling batteries dry are probably the other two major battery killers.
Over-sized generators/undersized charge controllers/running geset to fully charge-equalize battery bank too often probably cost many people 2-4x as much fuel as they really need to spend.
Is this sort of the laundry list you were looking for?
-BillNear San Francisco California: 3.5kWatt Grid Tied Solar power system+small backup genset
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