Method and apparatus to facilitate heating feedwater in a power generation system

A feedwater system comprising:

• a plurality of feedwater heaters comprising:
• a first feedwater heater;
• a second feedwater heater downstream of and in fluid communication with the first feedwater heater;
• and
• a third feedwater heater downstream of and in fluid communication with the second feedwater heater;
• and
• a plurality of heat sources comprising:
• a hot flue gas;
• a hot lean solvent;
• and
• hot compressed carbon dioxide;
• wherein each heat source of the plurality of heat sources acts as a heat source for a respective one of the plurality of feedwater heaters, such that the hot flue gas is channeled through only one of the first, the second and the third feedwater heaters, the hot lean solvent is channeled through only another of the first, the second and the third feedwater heaters, and the hot compressed carbon dioxide is only channeled through the remaining one of the first, the second and the third feedwater heaters.