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In this paper steady-state synchronous machine model which incorporates magnetic saturation and crossmagnetization is presented. Instead of using synchronous reactances and induced voltage E0 this model uses current dependent flux linkage functions in direct and quadrature axes to model armature reaction. If those functions are modeled as a polynomials of three independent variables which are armature current in direct and quadrature axis and field current, identification of the proposed model's parameters from load operation data becomes a linear problem. Paper also provides a method for calculation arbitrary steady-state load operation point based on the knowledge of the current dependent flux linkage functions. Proposed model, identification and calculation methods are validated and tested on 35 MVA, 10.5 kV, 50 Hz synchronous generator.

This paper describes the implementation of the P-Q capability diagram into the existing monitoring system for the 247 MVA synchronous turbo generator installed in a thermal power plant. The paper also addresses features, characteristics and uniqueness of the existing monitoring system as well as the modeling considerations required for the development of a P-Q diagram. This enables better insight into the operational limits which ensures better utilization of the synchronous generator. The proposed approach and methodology can be used for the implementation of the user real-time P-Q diagram whose limits change dynamically in accordance with operating conditions when the generator operates on the grid.

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.