Page 11 - PEN eBook July 2023
P. 11

Cover Story — Design



            Example calculation:


             ▶   Battery with 2,800-mAh capacity

             ▶   Application load current of 10 mA
             ▶   Output voltage power module of 1.8 V
             ▶   Three DC/DC converter efficiencies (20%, 45% and 85%)


            The efficiency is given by the following equation:









            where η is the efficiency, P   is the output power, P  is the input power, V   is the output voltage,
                                      OUT                      IN                    OUT
            V  is the input voltage, I  is the input current and I   is the output current.
              IN                    IN                         OUT

            P  and I  are given by the following equations:
              IN    IN










            The battery life is given by the following equation:










            where Q is the battery capacity (in milliampere hours) and T is the battery lifetime (in hours).



            Example calculation with η = 20%, η = 45% and η = 85% is as follows:


            η = 20%: T = 112 hours







            The following results are calculated the same way:


            η = 45%: T = 264 hours


            η = 85%: T = 480 hours




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