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The output current required from the 3.3V regulator is

1uA * 0.999 + 50mA * 0.001 + 25uA = 75.999uA

The output power is

3.3V * 75.999uA = 250.8uW

The input power to the regulator is

250.8uW / 0.8 = 313.5uW

When the batteries are fully charged the input current to the regulator is

313.5uW / 3V = 104uA

If the batteries have a flat discharge curve then you will get a life of

2700mAh / 104uA = 25837hours = 2.95 years

Since your batteries are 2700mAh 1.5V AA I am guessing that the discharge curve is not flat. You will need need to draw higher currents as the voltage drops.

Also your regulator efficiency probably drops at lower voltages. Again I am guessing since I have not seen the design.

Be careful when calculating using currents. You may be inadvertently assuming that the input and output voltage of the regulator is the same. With an input of 3V and an output of 3.3V it is not a big error. If you do a more accurate estimate of the battery discharge curve it will matter.

(* jcl *)

http://www.wiblocks.com

show/hide this revision's text 1

The output current required from the 3.3V regulator is

1uA * 0.999 + 50mA * 0.001 + 25uA = 75.999uA

The output power is

3.3V * 75.999uA = 250.8uW

The input power to the regulator is

250.8uW / 0.8 = 313.5uW

When the batteries are fully charged the input current to the regulator is

313.5uW / 3V = 104uA

If the batteries have a flat discharge curve then you will get a life of

2700mAh / 104uA = 25837hours = 2.95 years

Since your batteries are 2700mAh 1.5V AA I am guessing that the discharge curve is not flat. You will need need to draw higher currents as the voltage drops.

Also your regulator efficiency probably drops at lower voltages. Again I am guessing since I have not seen the design.

Be careful when calculating using currents. You may be inadvertently assuming that the input and output voltage of the regulator is the same. With an input of 3V and an output of 3.3V it is not a big error. If you do a more accurate estimate of the battery discharge curve it will matter.

(* jcl *)

http://www.wiblocks.com