As a simple rule, to calculate how long a 12v deep-cycle battery will last with an inverter multiply battery amp-hours (Ah) by 12 to find watt-hours, and divide by the load watts to find run time hours. Finally, multiply run time hours by 95% to account for inverter losses. Introduction to Solar Power Battery Inverters – What Do Inverters Do?
Example, the Renogy 200ah 12V AGM battery can run a 600W inverter load for four hours. But again this will be just under that due to inefficiency. If you want to run the load for a full four hours, you need more than 200ah, preferably 225-250ah to offset the inefficiency.
With a 5000W inverter (95% efficiency), a 12V battery will run for 0.1824 hours. Battery running time for a 12V battery with a 5000W inverter (95% efficiency) is 0.1824 hours. Battery Running Time = 100Ah x 12v x 80% x 92% / 2000W = 0.4416 hours When powered by a 2000W inverter (92% efficiency), a 12V battery will last 0.4416 hours.
If you have a 2000W inverter carrying a 2000W load, that is 166.6 amps an hour (2000W / 12V = 166.6). A 200ah 12V can power this load for 90 minutes maximum, but it will be 100% depleted at the end. But if you reduce the load to 1000W the battery life gets extended. The 2000W load running at max draw on a 700ah 12V battery can now last for 4 hours.
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