Linear motor drive system for the acceleration of a vehicle (3, 203) within an acceleration section on a driving route (1, 201), comprising a) a stator with at least two stator elements with stator windings arranged along the driving route (1, 201), 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 (3, 203), the stator can be cooled with active cooling, g) the active cooling of the stator in order to increase the acceleration of the vehicle (3, 203) is a forced fluid cooling, h) the stator elements each comprise at least one first carrier plate (31, 131a) made from an electrically nonconductive material and i) a stator winding with at least one flat coil (47, 147), j) which is arranged in a recess (32.1 - 32.6, 132a) of the first carrier plate (31, 131a) k) and sealed, l) the stator comprises at least one cooling element with a sheetlike cooling housing (35, 135) made from a nonmetallic material for the purposes of forced fluid cooling, and m) the first carrier plate (31, 131a) of the stator element is connected in a sheetlike manner to a first side surface of the cooling housing (35, 135), so that an outer side surface of the flat coil (47, 147) in relation to the recess (32.1 - 32.6, 132a) is directly adjacent to the cooling housing (35, 135). a) a stator with at least two stator elements with stator windings arranged along the driving route (1, 201), 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 (3, 203), the stator can be cooled with active cooling, g) the active cooling of the stator in order to increase the acceleration of the vehicle (3, 203) is a forced fluid cooling, h) the stator elements each comprise at least one first carrier plate (31, 131a) made from an electrically nonconductive material and i) a stator winding with at least one flat coil (47, 147), j) which is arranged in a recess (32.1 - 32.6, 132a) of the first carrier plate (31, 131a) k) and sealed, l) the stator comprises at least one cooling element with a sheetlike cooling housing (35, 135) made from a nonmetallic material for the purposes of forced fluid cooling, and m) the first carrier plate (31, 131a) of the stator element is connected in a sheetlike manner to a first side surface of the cooling housing (35, 135), so that an outer side surface of the flat coil (47, 147) in relation to the recess (32.1 - 32.6, 132a) is directly adjacent to the cooling housing (35, 135).