A mixing system for a power generation system. The power generation system includes a rotary machine, an exhaust processing system, and a duct system. The rotary machine is configured to produce an exhaust stream. The exhaust processing system is positioned to receive and process the exhaust stream. The duct system is oriented to channel an air stream to the exhaust processing system and to channel the exhaust stream from the rotary machine to the exhaust processing system. The mixing system is within the duct system. The mixing system includes a plurality of supports, a plurality of links extending between at least two of the supports, and at least one wrap circumscribing at least two of the links. The at least one wrap is oriented to change an effective direction of momentum of the exhaust stream and the air stream.