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has been cited by the following article:

• TITLE: Analysis of Small Oscillations in Complex Electric Power Systems

  AUTHORS: Allaev Kaxramon Raximovich, Makhmudov Tokhir Farkhadovich

  KEYWORDS: Electric System, Small Oscillations, Automatic Excitation Control, Matrix, Matrix Spectrum

  JOURNAL NAME: Engineering, Vol.10 No.5, May 15, 2018

  ABSTRACT: In this article the mathematical model of complex regulated electric system in matrix form is developed. This mathematical model makes it possible to study the steady-state stability of a complex electrical system by determining the eigenvalues of the dynamics matrix. The model of an electrical system that reflects transient processes for small deviations is convenient, both algorithmically and computationally, in particular, in cases of their joint solution with steady-state equations—the equations of nodal voltages. The obtained results in the form of the eigenvalues of the matrix spectrum are qualitatively the same as the results of classical studies, which is a consequence of the adequacy of the proposed model and the correct reflection of the dynamic processes occurring in a real electrical system. In addition, the equations obtained are of independent importance for the analysis of various modes, including transient, electrical systems of any complexity.