This study presents an accurate and computationally efficient finite-element (FE) calculation and modelling methods for the simulation of symmetrical steady-state load conditions for synchronous generators. For that purpose, two iterative methods are presented, implemented and compared. Those are Newton's iterative method and the relaxation parameter iterative method, which were both applied to magneto-static and transient FEs simulations. Various methods for obtaining armature voltage and power angle are proposed and analysed from the computational efficiency and the accuracy point of view. All methods showed good convergence results for solving this particular problem. Calculation results were compared with measurements on two synchronous generators installed in power plants.