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Germany has more wind in winter, so traditionally has more production of renewables in winter months.
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It has dramatically higher thermal heat demands in winter - far higher than is compensated for by that. Even if everyone switched to heat pumps.
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True, but higher demand for heating in winter is not specific to Germany. In the end, Germany will likely need to import energy anyway - just as it does today. But this means this question may not be the most relevant.
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Which is fine, since you're still reducing your reliance on the grid.

However, when you're off grid, underestimating capacity means your SOL and need to buy a generator and burn fuel on-site.

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And? Any coal not used in summer is coal not dug up.
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