A coal fired Oxy boiler power plant having a combustion system configured to burn coal using an oxygen stream to produce a flue gas stream, a CO2 capture system connected to the flue gas stream and a steam cycle with serially arranged low pressure heaters forming part of a condensate system. The combustion system includes, an Air Separation Unit for removing N2 from air to produce the oxygen stream for the boiler. The Air Separation Unit includes an Air Separation Unit heat exchanger that is thermally and fluidly connected to the condensate system so as to be fluidly parallel to at least one serial low pressure heater and fluidly parallel to at least one less that the total number of serial low pressure heaters. The Flue Gas Heat Recovery System, Flue Gas Condenser and Gas Processing unit are thermally integrated into the condensate system.