A flux linkage-based dynamic model of a dualstar surface-mounted permanent-magnet synchronous machine (PMSM) is developed. The relation between flux linkages, phase currents and rotor position is studied in the rotor reference frame considering three different phenomena, namely saturation, cross-saturation, and magnetic saliency. Four different methods for the characterization of the dual-star PMSM are presented. The two first methods are based on the calculation of d-and q-axis inductances, which are suitable for lumped-parameter modeling, while the two others are based on look-up tables (LUTs). In third model the complete characterization of the machine using proper LUTs considering previously mentioned phenomena is done. Then, a method for the characterization of the dual-star PMSM using only one of the stars with more compact LUTs is presented. Finally, various identification methods are compared in terms of accuracy, complexity, and computation time. Moreover, transient FE simulation results are included and compared with the results of the presented models.