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The dependence of the damping of toroidal Alfven Eigenmodes (TAEs) on various plasma parameters and shapes is analysed with numerical models ranging from perturbative MHD codes like CASTOR-K and NOVA-K, via a warm dielectric tensor model like LEMan to gyrofluid (TAEFL) and linear gyrokinetic codes (LIGKA). Joint European Torus (JET) well diagnosed discharges are used to compare the theoretical models against the experiment. The measurement of TAE damping rates by active in-vessel antennas at JET allows for a direct comparison of both frequency and damping rate with theory.