Tuesday 10 March 2015

power - How to calculate battery life



How do I calculate how long a battery operated product will run?


Here's what I've got:



  1. 2 AA, 1.5V, 2700mAH batteries

  2. Voltage Regulator with a Iq of 25 uA

  3. Voltage Regulator Eff = 80%

  4. Active Current = 50mA

  5. Sleep Current = 1uA

  6. Duty Cycle = 99.9% (only active 0.1% of the time)

  7. Active Voltage is 3.3V



I've gone the current route and got an answer. I went the power route and got a TOTALLY different answer (days vs years different).


How do you do this?



Answer



My calculation, probably missing something, but here's what I did:


$$ 1 \mathrm{\ \mu A} + (50 \mathrm{\ mA} \times 0.1\%) + 25 \mathrm{\ \mu A} = 76 \mathrm{\ \mu A} $$


$$ \frac{76 \mathrm{\ \mu A}}{ 80 \, \% \mbox{ efficiency}} = 88 \mathrm{\ \mu A} $$


Round up to \$100 \mathrm{\ \mu A} = 0.1 \mathrm{\ mA}\$


$$ \frac{2700 \mathrm{\ mAh}}{ 0.1 \mathrm{\ mA}} \approx 3 \mbox{ years} $$


If you're using rechargeable batteries, they'll discharge on their own long before that. Or if any of your other calculations are off (like maybe it's a 98% instead of 99.9% sleep), that will affect it a lot too.



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