Power is produced from high presser geothermal fluid by separating the fluid into high pressure steam and high pressure brine, expanding the high pressure steam in a high pressure turbogenerator for producing power and heat depleted steam, and separating liquid from the heat depleted steam thereby producing dried heat depleted steam at a pressure and temperature lower than the pressure and temperature of the high pressure steam. The liquid so separated, and the high pressure brine are combined in a flash chamber which produces steam which is combined with the dried heat depleted steam and expanded in a lower pressure turbogenerator for producing additional power. Optionally, some of the high pressure steam is used to reheat the dried heat depleted steam and the steam produced by the flash chamber before such steam is expanded in the lower pressure turbogenerator.