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I am stuck on an island and i have to transfer energy using renewable sources. e.,g, biomas, solar energy, geothermal energy, hydro-electricity energy, tidal energy, wind energy, wave energy. I need to design a way of supplying how water for washing, and supplying heat/ energy to cook food, also energy to heat huts

Note: There are hot springs on the island and a forest and cold water sourounding it.

Also how can solar energy from the sun be transfer to electricity to run a refrigerator

You can create energy to burn (methane gas) from biomass for cooking and heating (although it would be easier to burn wood from the forest for space heating) by making a biogas digester (Anaerobic Digester).

Simply pipe the biogas to your cooker, and light it!

The YouTube video link below provides a review of an ebook on how to make a biogas digester, and a web page to download the ebook. (Scroll right to bottom of page.).