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The permanent magnet excited transverse flux machine is well suited in particular for direct drive applications of electric road vehicles. The novel single-sided design with an external rotor consists of a three phase arrangement with a total number of 120 poles. The 3D finite element model with completely independent rotor and stator parts includes only two poles of the machine with appropriate repeating periodic boundary conditions for the unknown degrees of freedom of the 3D magnetic vector potential. Thus, the various angular rotor positions can be calculated by utilizing the sliding surface approach and a domain decomposition algorithm. The results presented herein are focussed on the most important design parameters such as electromagnetic torque, no-load voltages and short-circuit currents.