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The department has not provided estimates of the amount of fossil fuel generating capacity needed as back-up for wind by 2030. This would depend on a wide range of factors including demand profiles and the capacity mix.
Fossil fuel power stations are not the only way to provide back up for intermittent wind generation. There are a number of alternative solutions including responsive demand, interconnection and storage such as pumped storage, batteries and hydrogen, all of which are expected to play a role in the future energy mix.
The department has however published a number of studies on the impact of intermittent renewables on the UK electricity system. These studies, the Redpoint Analysis (2009) and UK Renewable Energy Strategy: Impact Assessment for the Centralised Electricity Sector, are available at: http://www.decc.gov.uk/en/content/cms/what_we_do/uk_supply/energy_mix/renewable/res/res.aspx.
In this wider context, the Government are currently consulting on future electricity market reform. This consultation is available at: http://www.decc.gov.uk/en/content/cms/consultations/emr/emr.aspx.