As an intermediate frequency power source, the double star windings shifted by 30° synchronous generator with axial magnetic field (DSWAMF) is widely used in the different areas. Using the generalized inverse, the transformation matrix of double windings synchronous generators with two Y-connected 3-phase symmetrical windings displaced in turn by 30 from rotating to stationary axes is proposed. With the transformation matrix, the state-space model of the generators is established. Obtained the relation of interconnection, and optimize the parameter. The kind of machine is simulated by finite element method (FEM) , mutual inductance of the simulation is similar to theory. The generator mathematical model is established, the internal parameter of this kind of generator can be obtained easily with transformation matrix.