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To obtain a dynamic analysis for the electromagnetic field in electric rotating machines working under unbalanced conditions or supplied by non sinusoidal current we previously conceived a first order Air-Gap-Element (AGE-1). Such an element allows to keep a constant topology while the rotor is moved ; in fact the relative position of the rotor is automatically taken into account by the method , . In the present paper a second order Air-Gap-Element (AGE-2) is developed to be consistent with second order isoparametric finite elements, using the FLUX field computing program  which gives more accurate calculations. Moreover the use of AGE-2 permits us to consider a solution domain corresponding to either two pole-pitches or one pole-pitch To optimize the computing time spent on solving the equation system, we used the SICCG method . The paper contains the development details of the AGE-2 and examples showing the merits of the proposed model.