Research of Network Transient Performance at Small Perturbations


The advisability of the use of matrix methods of equations rearrangement for the investigated system which allows writing a secular equation is considered in this article. This approach greatly simplifies the analysis of performance of transient response in complicated multi-coupled electrical system at small perturbations.

Share and Cite:

T. A. Makhkamov and A. M. Mirzabaev, "Research of Network Transient Performance at Small Perturbations," Energy and Power Engineering, Vol. 5 No. 4B, 2013, pp. 667-669. doi: 10.4236/epe.2013.54B129.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] N. N. Ivaschenko, Automatic Control. Theory and System Elements. M: Mashinostroenie, 1973.
[2] V. A. Venikov. Transient Electromechanical Processes in Electric Systems. М: Visshaya shkola, 1984.
[3] “Automation of Dispatching Control in Electric Power Industry,” Under the editorship of Yu. N. Rudenko and V. A. Semenov, M: Izdatelstvo, 2000.
[4] P. Derusso, R. Roy and C. Claws, “State Space in the Control Theory,” Under the Editorship of M. V. Meerov, Translated from the English, M: Nauka, 1970.
[5] F. R. Gantmakher, “Theory of matrices,” M: Fizmatlit, 2005.
[6] K. R. Allaev and A. M. Mirzabaev, “Matrix Methods of Research of a Static Stability of Electric Systems,” Article in the Issue of the Magazine.
[7] A. M. Lyapunov, “General Problem about Movement Stability,” M - L. 1950. State Publishing House Tech. - theor. lit.
[8] K. R. Allaev, “The Research of Static Stability of Electric Systems by the Method of Liapunov Functions of Quadric Form Т. Fan,” Proceedings of the Academy of Sciences of the Republic of Uzbekistan, 1973, No.5, pp. 13-17.
[9] K. R. Allaev and A. M. Mirzabaev, “The Exploration of Static Stability of Electric Energy Systems with Joint Application of Lyapunov Function Method of Quadric Form and Nodal Equations. In book: Stability and Reliability Issues of Energy Systems. Under the editorship of L. А. Koshev,” Institute of high temperatures of the USSR academy of sciences, 1990, pp. 272-276.
[10] K. R. Allaev and A. M. Mirzabaev, “To Application of the Matrix Analysis for Research of a Static Stability of Electric Systems,” Problems of Energy and Resource Saving, 2009, No. 3-4, pp. 15-21.

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.