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How big a battery to run 300 W?

To run 300 W for 5 hours you need about 1,852 Wh of LiFePO4: 145 Ah at 12 V, 73 Ah at 24 V or 37 Ah at 48 V. Lead-acid needs 3,333 Wh, because only half of it is usable.

HoursLiFePO4 energy12.8 V25.6 V51.2 VLead-acid
2 h741 Wh58 Ah29 Ah15 Ah1,333 Wh · 112 Ah at 12 V
4 h1,481 Wh116 Ah58 Ah29 Ah2,667 Wh · 223 Ah at 12 V
6 h2,222 Wh174 Ah87 Ah44 Ah4,000 Wh · 334 Ah at 12 V
8 h2,963 Wh232 Ah116 Ah58 Ah5,333 Wh · 445 Ah at 12 V
10 h3,704 Wh290 Ah145 Ah73 Ah6,667 Wh · 556 Ah at 12 V
12 h4,444 Wh348 Ah174 Ah87 Ah8,000 Wh · 667 Ah at 12 V

How it is worked out

  1. The battery feeds the load through an inverter or converter that is about 90 % efficient: 300 W at the load is 333.3 W from the battery.
  2. Energy = power × hours, then divided by the share you may use: 90 % of a LiFePO4 bank, 50 % of a lead-acid one (deeper discharge shortens its life sharply).
  3. Amp-hours = watt-hours ÷ the bank's voltage. Round up, and add margin for cold weather and an ageing battery.

Check the 5-hour figure in the runtime calculator · Open it on the benchMy house sizes the whole backup system for 1.5 kWh a day and builds it.

For planning and learning. Use the appliance's nameplate (amps, MCA and MOCP) when you have it, follow your local electrical code, and have a licensed electrician do work on a building's wiring.