I was quoted around $15,500-$16,000 for a 12.8 to 13.5 kWh battery plus install for comparison.

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The grid is effectively an (nearly) unlimited sink. So nearly all your power you generate gets pushed into it.

The catch is that as we all collectively push more and more power in, it increases the frequency (50hz -> 50.1hz), and most inverters have a cuttoff if the frequency gets too high. But as far as I know, that almost never happens, but if it did, that could cause a large set of power generation to drop offline simultaneously, which would then cause a frequency drop and a subsequent brownout.

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