Electrolytic capacitors are the components that mainly impact the lifetime of ac/dc light-emitting diode (LED) drivers. Therefore, eliminating electrolytic capacitors from LED drivers is of vital importance. First, the basic derivation concept of a family of flyback-based three-port converters for electrolytic capacitor-less LED drivers is addressed in this paper, by manipulating the power flow among input port, output port, and storage capacitors. Together with the derivation of existing topologies, new topologies are also proposed. After evaluation, an integrated dual flyback converter (IDFC) is chosen, which requires less switching components and simpler control strategy. Following that, the operation principle and switching modes of the IDFC are elaborated, as well as the parameter design and implementation of control strategy. Finally, experiments on a laboratory prototype are carried out to verify the feasibility of the proposed topology.