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Here's the set up: I have a set of 3 solar panels adding up to a total wattage output of 135 Watts, max voltage of 23 volts. I have a 100 Watt Solar charge regulator (7 amps) and want to hook it up to a 12V battery (possibly group 27) Running from this battery would be a 2000 watt continuous inverter, converting 12 vdc to 115 vac at about 87% efficiency. My question is: How long could I pull 300 Watts out of this system?
And got the following answer:
A group 27 battery is a physical size, not an energy rating, but because of it's size it will fall into the 85-105 Ah range. Another answer says 55Ah, but gives no rationale for that figure and is contrary to every spec I find for group 27 deep cycle batteries. Let's say it's 90 Ah. 300/115 = 2.6 A 2.6/.85 = 3.02 (115/12) * 3.06 = 29.32 A on the primary side 90/29.32 ~= 3 hours, but since the battery energy is derated (see below), it will be MUCH LESS than the calculated 3 hours. You'll have to look at the battery specs, but I'm going to guess 33% reduction in capacity since you are drawing at 600%+ of the 20hour rate. But this is just the point where the voltage is 80% of rated voltage on the battery, there is still energy to be used in the battery, though it is unwise and could ruin the battery. The rated efficiency should be taken with a grain of salt. Your cable size on the low voltage side of the inverter can make a huge difference as you're drawing 10 times the current or about 30 amps continuous on that side. Edit: Well, I messed that up since I use the secondary power to state whether or not the battery was derated. Don't know where my head wandered to when I was writing that. The primary side is drawing (115/12) * 3.06 = 29.32 Amps which is much greater than 90/20 or even 90/10, so the battery life is seriously derated and you cannot expect to get 90Ah out of it. I have corrected the calculations, which are now just approximations since you battery is unknown. A 100Ah battery drawing at a 5hour rate, is diminished to 79Ah, nearly 20% of the capacity. At a 1hour rate, or 55.2 Amps, it's just 55Ah, or a 45% reduction in capacity. This known as the Peukert effect. Not taking the discharge rate into account and simply dividing the power into the capacity of the battery leads to enormous errors.