NOVELTY - Lithium-based flow battery (100) (L1) comprises: a first anodic conductive solution that comprises a lithium polyaromatic hydrocarbon complex (102) dissolved in a solvent; a second cathodic conductive solution that comprises a cathodic complex dissolved in a solvent; and a solid lithium ionic conductor (106), disposed so as to separate the first conductive solution from the second conductive solution, so that the first conductive solution, the second conductive solution, and the solid lithium ionic conductor define a circuit.    USE - The lithium-based flow battery is useful for supporting a power grid, and in conjunction with transportation systems.    ADVANTAGE - The lithium-based flow battery exhibits high energy density, efficiently stores and/or distributes electrical energy, and is rechargeable and cost effective.    DETAILED DESCRIPTION - Lithium-based flow battery (100) (L1) comprises: a first anodic conductive solution that comprises a lithium polyaromatic hydrocarbon complex (102) dissolved in a solvent; a second cathodic conductive solution that comprises a cathodic complex dissolved in a solvent; and a solid lithium ionic conductor (106), disposed so as to separate the first conductive solution from the second conductive solution, so that the first conductive solution, the second conductive solution, and the solid lithium ionic conductor define a circuit, where, when the circuit is closed, lithium from the lithium polyaromatic hydrocarbon complex in the first conductive solution dissociates from the lithium polyaromatic hydrocarbon complex, migrates through the solid lithium ionic conductor, and associates with the cathodic complex of the second cathodic conductive solution, and a current is generated. An INDEPENDENT CLAIM is also included for a lithium-based flow battery (L2) comprising: a lithium-based anode; a cathode that is a conductive solution that includes an oxidizing agent that can facilitate the oxidation of the lithium-based anode; and a solid lithium ionic conductor, disposed so as to separate the lithium-based anode from the cathode, so that the lithium-based anode, the cathode, and the solid lithium ionic conductor define a circuit, where, when the circuit is closed, lithium from the lithium-based anode migrates through the solid lithium ionic conductor, and associates with the oxidizing agent in the cathode, and a current is generated.    DESCRIPTION OF DRAWING(S) - The figure shows a schematic view of the cell of the lithium-based high energy density flow battery during load powering.    Lithium-based flow battery (100)    Lithium polyaromatic hydrocarbon complex (102)    Solid lithium ionic conductor (106)    Current collectors (108)    Load (110)