Research of small oscillations of electrical power systems using the technology of embedding systems

  • Kahraman Allaev
  • Tokhir MakhmudovEmail author
Original Paper


The mathematical model of the regulated electrical power system in matrix form is developed in the article, the basis of which is equations in the state space and the technology of embedding systems. The resulting mathematical model allows us to study the static stability of an adjustable complex electrical system by determining the eigenvalues of the dynamics matrix. Based on the method of decomposition of the initial model of a complex electrical system with the help of semiorthogonal matrix zero divisors, the poles of the system are shifted to the desired position. The controller obtained on the basis of the decomposition method makes it possible to increase the stability of a complex electrical system to small oscillations that occur. The proposed technique can be used to configure automatic control systems.


Electrical system Arrangement of poles Decomposition of the system Zeros of matrices 



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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Tashkent State Technical UniversityTashkentUzbekistan
  2. 2.Tashkent State Technical UniversityTashkentUzbekistan

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