A lithium secondary cell array in a cylindrical design has a winding mandrel and a winding packet, which contains foil-like coated strips and contacting strips that form the electric cell structure consisting of anode, cathode and separator. The cell array has outer electrical connections which include pole caps. The winding mandrel includes an insulating material and has a through-channel extending in the longitudinal axis direction. The winding mandrel is connected to an inner pole cap at each end, the pole caps likewise having a respective through-channel. One outer pole cap having a through-passage is respectively provided, which surrounds the winding packet circumferentially at least in the edge region, wherein several radially arranged force-fit connections, each acting between the outer and the inner pole cap, are used to fix the winding packet and achieve the electrical contacting between the contacting strips and the outer pole cap.