NOVELTY - A combustion fuel stream and oxygen-containing stream are introduced into a combustion zone (815), and combustion reaction is performed to generate a combustion exhaust (822) containing carbon dioxide. A cathode inlet stream comprising portion of exhaust is processed with fuel cell array (825) of molten carbonate fuel cells to form cathode exhaust stream (824) and anode exhaust steam (835) containing carbon dioxide and hydrogen. Carbon dioxide is separated from the anode exhaust stream and captured from combustion source.    USE - Method for capturing carbon dioxide from combustion source used in power generation system (claimed).    ADVANTAGE - The carbon dioxide is efficiently captured from combustion source with decrease in number and complexity of flow connections. The direct recycle of anode exhaust to cathode is prevented, and fuel cell area is reduced. The exhaust of unburned fuel to environment is prevented.    DETAILED DESCRIPTION - A combustion fuel stream and oxygen-containing stream are introduced into a combustion zone, and combustion reaction is performed to generate a combustion exhaust containing carbon dioxide. A cathode inlet stream comprising at least a primary portion of the combustion exhaust is processed with a fuel cell array of one or more molten carbonate fuel cells to form a cathode exhaust stream from at least one cathode outlet of the fuel cell array. The molten carbonate fuel cell has fuel cell anodes and fuel cell cathodes, and is operatively connected to the combustion zone through at least one cathode inlet. The carbonate from fuel cell cathode is reacted with hydrogen within anode to produce electricity and an anode exhaust stream from anode outlet of fuel cell array. The anode exhaust steam contains carbon dioxide and hydrogen. Carbon dioxide is separated from the anode exhaust stream in one or more separation stages to form carbon dioxide-depleted anode exhaust stream. The combustion-recycle portion of anode exhaust stream is passed to the combustion zone, and carbon dioxide is captured from combustion source. An INDEPENDENT CLAIM is included for power generation system.    DESCRIPTION OF DRAWING(S) - The drawing shows the schematic view of combined cycle stream for generating electricity based on combustion of carbon-based fuel.    Compressor (802)    Expander (806)    Combustion zone (815)    Carbon dioxide-containing stream (822)    Cathode output stream (824)    Fuel cell array (825)    Anode exhaust (835)