Higher electricity imports and much higher wind power generation led to a large drop in consumption of coal and other fossil fuels at power plants in 2015. This in turn meant that observed CO2 emissions fell by 6.6% in 2015, and that renewable energy now covers 56% of electricity consumption. These are headlines from Energy Statistics 2015, which were published by the Danish Energy Agency.
(Note (a) that's not 56% of total energy demand, and (b) they're having no issues with grid stability)
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