The Operational Definition Algoritm of Weak Links Network, Leading to Violation of the Small Signal Stability

A.M. Abdurahmanov, K.A. Zimin, V.N. Ryabchenko

Abstract


Considered a computing matrix algorithm to quickly identify weaknesses that lead to the violation of the small signal stability of the linear model of the electric power system. The algorithm is based on the method of partial solutions of linear matrix equation based on the use of zero divisors (annihilators) matrices. Features of the algorithm shown in the model of the interconnection with the Jacobi matrix containing 286 units, 531 branches and 129 generators.

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References


Gurskiy S.G. Algoritmizatsiya zadach upravleniya rezhimami slozhnykh sistem v elektroenergetike [Algorithmi-zation management tasks modes of complex systems in the power industry], Minsk: Nauka i Tekhnika, 1977. (in Russ.)

Voytov O.N., Voropay N.I., Gamm A.Z., Golub I.I., Yefimov D.N. Analiz neodnorodnostey elektroenergeticheskikh sistem [Analysis of electric power systems of irregularities], Novosibirsk: Nauka, 1999. (in Russ.)

Gamm A.Z. Detection of weak spots in the electric pow-er system [Obnaruzheniye slabykh mest v elektroenergetich-eskoy sisteme], Izv. RAN. Energetika [Math. Russian Academy of Sciences. Energy], 1992, no.3. (in Russ.)

Kontorovich A.M. Uravneniya predelnykh rezhimov i ikh ispolzovaniye dlya resheniya zadach upravleniya energosistemami. Metody issledovaniya ustoychivosti slozhnykh energosistem i ikh ispolzovaniye [Equations limit-ing regimes and their use to address energy systems manage-ment tasks. Methods of studying the stability of complex power systems and their use], Moscow, Energoatomizdat, 1985. (in Russ.)

Afanasyev V.N., Kolmanovskiy V.B., Nosov V.R. Ma-tematicheskaya teoriya konstruirovaniya sistem upravleniya [The mathematical theory of designing control systems], Moscow, Vyssh. shk., 1998. (in Russ.)

Golub Dzh., Van Loan Ch. Matrichnyye vychisleniya [Matrix calculations], Moscow, Mir, 1999. (in Russ.)

Misrikhanov M.Sh., Ryabchenko V.N. Algebraic and matrix methods in the theory of linear MIMO-systems [Al-gebraicheskiye i matrichnyye metody v teorii lineynykh MIMO-sistem], Vestnik IGEU [Herald of ISPU], 2005, is. 5, pp. 196-240. (in Russ.)

Demmel Dzh. Vychislitelnaya lineynaya algebra. Teor-iya i prilozheniya [The computational linear algebra. Theory and Applications], Moscow, Mir, 2001. (in Russ.)




DOI: http://dx.doi.org/10.24892/RIJEE/20160303

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