By adding an auxiliary transformer to a single-stage single-switch power-factor-corrected converter (S4PFCC), the storage capacitor voltage and its range of voltage change against line voltage change are reduced. In addition, this transformer provides a direct power transfer path for input line to output load to increase the conversion efficiency. High power factor is maintained due to the elimination of dead angle of the input current. This paper presents detailed analysis and optimal design of a discontinuous conduction mode (DCM) boost-flyback S4PFCC with the auxiliary transformer. Experimental results for a 15 V/60 W prototype and with comparison to a S4PFCC without the auxiliary transformer are given to show the proposed approach effective.