Journal of Siberian Federal University. Engineering & Technologies / The Study of the Static Stability of Complex Electrical Systems

Full text (.pdf)
Issue
Journal of Siberian Federal University. Engineering & Technologies. 2019 12 (8)
Authors
Allaev, Kaxramon R.; Makhmudov, Tokhir F.
Contact information
Allaev, Kaxramon R.: Tashkent State Technical University named after Islam Karimov 2 University Str., Tashkent, 100095, Uzbekistan; Makhmudov, Tokhir F.: Tashkent State Technical University named after Islam Karimov 2 University Str., Tashkent, 100095, Uzbekistan;
Keywords
static stability; electric system; equations of node voltages; small oscillations; Lyapunov`s function in quadratic form, Sylvester’s theorem
Abstract

The article shows the effectiveness of the joint application of the equations of node voltages (ENV) and the Lyapunov`s function in a quadratic form for the analysis of small oscillations of a power system, in the literature called method Allaev. The joint solution of the equations of node voltages and Lyapunov`s matrix equation allows to determine the stability conditions of the electrical system and identify the generator, which first approaches the stability limit. As will be shown below, studies of small oscillations of complex electrical systems can be carried out in full on the basis of matrix methods, successfully developed in recent decades. This is facilitated by the removal of memory limitations and a sharp increase in the speed of computing modern computers

Pages
929-938
DOI
10.17516/1999-494X-0192
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/128383

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