An optimisation methodology is applied on the islands of Kephalonia and Ithaca (Prefecture of Kephalonia) in Greece, where various Renewable Energy Sources (RES) can be found and could be exploited to satisfy part of their energy needs. These resources are examined and a case study is performed for Kephalonia that involves an application of specific mathematical tools that will lead to a set of energy solutions. Many scenarios of cases were examined where the requirements of certain end uses were increased and also cases where some of the renewable energy systems were not at the maximum of their potential.
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