There is no extra power , only lower power dissipated in your cell because your switching device is now acting as a resistor .
It has to do with the way you are pulsing is total crap .
Do a google search for a purpously made "mosfet driver" , then buy a power mofset .
Make sure the mosfet driver is compatible with your pulsing logic level .
Make sure to keep the leads very short , and put a bypass capacitor , as shown in the datasheet of the mosfet driver .