A proposed thermally driven solar power generating system includes -a solar air heater receiving an airflow, -a gas turbine driving -a generator and -at least one exhaust compressor, -a humidifying air recuperator communicating with the heater. The recuperator includes a water pipeline, product channels, dry working channels, wet working channels connected with the dry channels, having pair-wise heat transfer relations. The airflow passes via the dry and wet channels, a portion thereof moves and expands through the turbine converting into a product stream, drawn into the product channels, cooled and condensed there. Condensate water moves from the product channels and pipeline into the wet channels. The product stream is sucked by the compressor and converted into a product air stream discharged therefrom. In embodiments, it incorporates -an air cooler, -auxiliary burner chamber, -heat accumulator, -solar desorber, - additional cooler or M-Cooler, heat exchangers communicating with a number of the exhaust compressors.