I'm wondering if the Falcon 9 booster or upper stage regenerates any electrical power from the Merlin engines or their subsystems, or if the battery systems are perpetually draining while in flight (aside from any solar panels that may be attached to the upper stage).
I would think this could either be accomplished via an alternator on the turbopump (though probably hard to engineer, as it has to spin at 36k RPM or be geared down, and would add inertial mass to the shaft) or via the hydraulic drive pressure from the turbopump while an engine is running.
Does it do anything like this? It would seemingly reduce the required battery capacity for the first stage, which might be a worthwhile tradeoff as far as weight is concerned.