In the paper, the results of investigations on the location of generating units most affecting
the angular stability of a large power system (PS) are presented. For their location, the eigenvalues
of the PS model state matrix associated with electromechanical phenomena (electromechanical
eigenvalues) were used. The eigenvalues were calculated on the basis of the analysis of the
disturbance waveforms of instantaneous power of the generating units operating in the PS. The
used method of calculating eigenvalues consists in approximation of the disturbance waveforms
of generating units by the waveforms being the superposition of modal components. The parameters of these components depend on the sought eigenvalues and their participation factors.
The objective function was defined as the mean square error between the approximated and approximating waveforms. To minimize it, a hybrid algorithm, being a combination of genetic and
gradient algorithms, was used. In the instantaneous power waveforms of generating units most
affecting the PS angular stability, the least damped or undamped modal components dominate.
They are related to eigenvalues with the largest values of real parts. The impact of individual
modal components on the disturbance waveforms of subsequent generating units was determined with the use of participation factors and correlation coefficients of electromechanical
eigenvalues.
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