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This paper presents state space vector analysis for three-phase matrix converters operating as unified power flow controllers (UPFCs). It allows direct ac/ac power conversion without dc energy storage links; therefore, It reduces volume, cost, capacitor power losses, together with higher reliability. The line active and reactive power, together with ac supply reactive power, can be directly controlled by selecting an appropriate matrix converter switching state guaranteeing good steady-statedoi:10.15623/ijret.2012.0103049 fatcat:4tjzlertinh5re5e3tm6eletka