Electrical sources are commonly CVS, constant voltage source, by design, not nature. The ac generators that provide power to our homes & businesses could just as easily be configured for CCS, constant current source operation. CVS works better.
With CVS, the insulation losses are computed by V^2*G, where G is the conductance, or parallel resistance across the conductors. This is very small in comparison to the conduction losses, computed as I^2*R. R is the conductor resistance.
With CVS, the generator is always outputting full voltage, but current varies w/ loading. This keeps losses lower than would be if CCS were used. With CCS, full current is always present, & voltage varies per loading. Losses are much greater w/ CCS mode of operation.
In addition, the power system uses transformers to step up to a very high voltage for transmission, then step down xfmrs are used for local distribution.
With batteries, a similar case exists. Batteries could be designed for CCS operation, but losses are too high, regulation is not as good as CVS. Primary cells like NiMH, Li ion, alkaline, CZn, NiCd, etc., work best in CVS mode. Nuclear batteries, aka "nucells", OTOH, work best in CCS mode. Search under "nucell" for details.
A car alternator can be a CCS or a CVS, likewise for the power plant generator. For CCS mode, spin with constant torque. As loading changes, so does the speed. Torque is related to current, & speed to voltage. Constant torque produces CCS, & voltage/speed vary w/ load.
Spinning the generator/alternator at constant speed produces CVS mode. In addition, constant frequency is obtained due to constant speed. On the power grid, the freq is very precise making synchronous motors run at steady speed.
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Claude