Title: Modelling of the cylindrical-rotor synchronous machine for symmetrical and asymmetrical modes of operation

Authors: Saleh Al-Jufout

Addresses: Department of Electrical Engineering, Tafila Technical University, P.O. Box (92), Tafila 66110, Jordan

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.

Keywords: synchronous machines; mathematical modelling; phase coordinates; direct axes; quadrature axes; cylindrical rotors; flux linkages; angular velocity; angular position; machine speed; electromagnetic torque; phase currents; voltages.

DOI: 10.1504/IJAAC.2008.022899

International Journal of Automation and Control, 2008 Vol.2 No.4, pp.507 - 518

Published online: 02 Feb 2009 *

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