Linear motor drive system for the acceleration of a vehicle within an acceleration section on a driving route , comprising a) a stator with at least two stator elements with stator windings arranged along the driving route , b) wherein the stator elements are assembled to form at least two stator groups (4.1 - 4.4), c) and a rotor, which is secured on the vehicle and which is operatively connected to a magnetic field generated by the stator, d) wherein each stator group (4.1 - 4.4) is permanently connected to its own energy transformer (5.1 - 5.4) for its power supply, which can be individually actuated, e) wherein at least two of the stator groups (4.1 - 4.4) are arranged such that the rotor is operatively connected at the same time to the at least two stator groups (4.1 - 4.4), wherein these at least two stator groups (4.1 - 4.4) can be supplied with energy at the same time from their respective own energy transformers (5.1 - 5.4), characterized in that f) in order to increase the acceleration of the vehicle , the stator can be cooled with active cooling, g) the active cooling of the stator in order to increase the acceleration of the vehicle is a forced fluid cooling, h) the stator elements each comprise at least one first carrier plate made from an electrically nonconductive material and i) a stator winding with at least one flat coil , j) which is arranged in a recess (32.1 - 32.6, 132a) of the first carrier plate k) and sealed, l) the stator comprises at least one cooling element with a sheetlike cooling housing made from a nonmetallic material for the purposes of forced fluid cooling, and m) the first carrier plate of the stator element is connected in a sheetlike manner to a first side surface of the cooling housing , so that an outer side surface of the flat coil in relation to the recess (32.1 - 32.6, 132a) is directly adjacent to the cooling housing . a) a stator with at least two stator elements with stator windings arranged along the driving route , b) wherein the stator elements are assembled to form at least two stator groups (4.1 - 4.4), c) and a rotor, which is secured on the vehicle and which is operatively connected to a magnetic field generated by the stator, d) wherein each stator group (4.1 - 4.4) is permanently connected to its own energy transformer (5.1 - 5.4) for its power supply, which can be individually actuated, e) wherein at least two of the stator groups (4.1 - 4.4) are arranged such that the rotor is operatively connected at the same time to the at least two stator groups (4.1 - 4.4), wherein these at least two stator groups (4.1 - 4.4) can be supplied with energy at the same time from their respective own energy transformers (5.1 - 5.4), characterized in that f) in order to increase the acceleration of the vehicle , the stator can be cooled with active cooling, g) the active cooling of the stator in order to increase the acceleration of the vehicle is a forced fluid cooling, h) the stator elements each comprise at least one first carrier plate made from an electrically nonconductive material and i) a stator winding with at least one flat coil , j) which is arranged in a recess (32.1 - 32.6, 132a) of the first carrier plate k) and sealed, l) the stator comprises at least one cooling element with a sheetlike cooling housing made from a nonmetallic material for the purposes of forced fluid cooling, and m) the first carrier plate of the stator element is connected in a sheetlike manner to a first side surface of the cooling housing , so that an outer side surface of the flat coil in relation to the recess (32.1 - 32.6, 132a) is directly adjacent to the cooling housing . <EOS>