The present invention is directed to power generation systems and methods for converting naturally occurring moist air into power and water, enabling generation of power without carbon combustion and without the release of green-house gasses which usually accompany thermodynamic power generation. According to one embodiment, a compressor module is used to greatly compress enriched water vapor drawn from the surrounding moist air. The compressed water vapor is then condensed into output water by a working fluid, while the heated working fluid is used in a Rankine-cycle power generation loop to turn a turbine and thereby create transmittable electrical power.