Abstract
The synchronizing and damping torques are derived from the torque-angle loop of a single machine infinite bus-bar system. This paper uses frequency response methods to generalize the analysis to an n machine system. A transfer function matrix G(s) is derived to relate the n-vector of electrical torques to the n-vector of rotor angles. The characteristic locus method is used to decompose the stability analysis into n torque-angle loops each of which is similar to the torque-angle loop of a single machine infinite bus-bar system. The method is used to analyse the dynamic stability of an uncontrolled multimachine power system. It is shown that the stability can be assessed by the evaluation of a set of eigenvalues of G(0) which can be considered as a set of synchronizing torque coefficients.
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