I have said this literally HUNDREDS of times on the other threads, but when a pulsed motor is run between the positives on a three battery system, which means it is running off the potential difference, better than 95% of that energy CAN BE RECOVERED. Just rotate the batteries when the third battery becomes charged, or use a $3.00 boost module to draw power out of the third battery and send it BACK to the primaries. Yes, there are losses, and if this is all you had, the system would EVENTUALLY run down, but....
I tested it in more ways than most can imagine with my own power analyzers both short term and plotting over days. My conclusion was that it cannot work as depicted and if it did work something is missing. So please spare me your rhetoric that anyone can just throw this together and have it work because that would be an outright lie. Your not talking to some want to be who just got off the boat and I have probably tested more devices than most people have read about.
What you have to look for is the voltage drop across components, the sum of voltage drops in the system and capacitive coupling issues. It is the age old issue of why a cap discharging into another cap loses half it's energy is the process. You do understand that the same thing happens in your battery setup don't you?. The unwanted effect can be described by a single term we could call dispersion which is a form of dissipation through the lowering of charge density because of an increase in surface area. While an inductor can increase the transfer efficiency it also produces a voltage drop and/or I2R losses and both are losing propositions.
AC
I won't let you 




As for boxing things in with Maths thats one thing I certainly haven't done .
Talk
The math comes after or
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