A system uses thermal solar energy coupled with microwaves and plasma for producing carbon monoxide (CO) and dihydrogen (H2) from carbonated compounds (biomass, domestic waste, sludge from waste water, fossil coal), wherein the obtained gaseous mixture yields, amongst others, hydrocarbon fuels (olefins, paraffin), esters, and alcohols via a Fischer-Tropsch synthesis. In a first step the carbonated compounds are roasted and pyrolized to produce char and dry coal, and a mixture of superheated gases containing CO2, steam, tars and non-condensable volatile materials. The method includes in a second step, and from the pyrolyis products (char or coal, gas mixture), generating a syngas substantially containing a mixture of carbon monoxide and dihydrogen, the mixture being used in Fischer-Tropsch synthesis units. After the Fischer-Tropsch step, the synthesis products are separated in a distillation column after heating in solar furnaces of mixed furnaces (solar/microwave).