Abstract
A mathematical model of the three-phase, cylindrical-rotor, synchronous machine for symmetrical and asymmetrical modes of operation has been developed. This model has been represented as system of differential equations for flux linkages, angular velocity and angular position determination. The differential equations for the flux linkages of the armature windings have been expressed in phase coordinates, while the differential equations for the flux linkages of the field winding and the rotor circuits have been expressed in orthogonal coordinates (direct and quadrature axes). The skin effect in the cylindrical-rotor has been considered by representing the rotor as two parallel-connected resistive-inductive circuits. Symmetrical case followed by a steady-state operating conditions (sudden load change) and asymmetrical case in a transient operating conditions (line-to-line short circuit in the electrical power system) have been computed. The waveforms of the machine speed, electromagnetic torque, phase currents and voltages have been illustrated.
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