The invention relates to a system that uses thermal (heat-generating) solar energy coupled with microwaves and plasma for producing mainly 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. The invention comprises in a first step the roasting and pyrolysis of the carbonated compounds in order to produce char and dry coal on the one hand, and a mixture of superheated gases mainly containing CO2, steam, tars and non-condensable volatile materials; the method comprises 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, said mixture being used in Fischer-Tropsch synthesis units. After the Fischer-Tropsch step, the synthesis products are separated by a distillation column after heating in solar furnaces of mixed furnaces (solar/microwave). The thermal energy necessary for generating a plasma is produced by solar cells, wind turbines, power generators running on hydrocarbon gases that cannot be recycled after distillation, and systems for recovering the thermal energy throughout the entire method.