A power generation system includes a power generation plant portion including a feedwater heating system configured to channel a feedwater stream and a carbon dioxide capture portion coupled in flow communication with the power generation plant portion. The carbon dioxide capture portion includes a solvent circuit configured to channel a solvent stream through at least a portion of the carbon dioxide capture portion. The carbon dioxide capture portion also includes a heat recovery system coupled in flow communication with the solvent circuit and the feedwater heating system. The heat recovery system is configured to transfer heat energy from the solvent stream to the feedwater stream and to channel the heated feedwater from the heat recovery system to the feedwater heating system.