Simplified Criterion of Steady-State Stability of Electric Power Systems

Show more

References

[1] Rudenko, Y.N. and Semyonova, V.A. (2000) Automation of Dispatch Control System in Electrical Power System. MPEI, Moscow.

[2] Venikov, V.A. (1964) Transient Phenomena in Electrical Power System. Pergamon Press, Macmillan, New York.

[3] Barinov, V.A. and Sovalov, S.A. (1990) Electrical Power Systems Operating Conditions: Analysis and Control Method. Energoatomizdat, Moscow.

[4] Anderson, P.M. and Fouad, A.A. (2003) Power System Control and Stability. 2nd Edition, IEEE, Wiley-Interscience, USA.

[5] Barabashin, E.A. (1970) Lyapunov Function. Science, Moscow.

[6] Andreev, Y.N. (1976) Finite-Dimensional Linear Object Control. Science, Mos-cow.

[7] Misrikhanov, M.Sh. and Ryabchenko, V.N. (2006) Solution of Algebraic Systems with Local Variable Matrix for Dispatching Control in EPS. A&T, 5, 131-141.

[8] Vasin, V.P., Starshinov, V.A. and Domnina, V.V. (2006) Application of New Processing Technology in Electrical Power System Control. MPEI.

[9] Bukov, V.N. (2006) System’s Embedding. Analytical Approach to Analysis and Design of Matrix Systems. Kaluga.

[10] Asanov, A.Z. (2007) System’s Embedding Method and Its Application. USATU, Ufa.

[11] Misrikhanov, M.Sh. and Ryabchenko, V.N. (2006) Quadratic Problems of Eigenvalue in EPS. A&T, 5, 24-47.

[12] Narovlyanskiy, V.G. and Kurmak, V.V. (2012) The Critical Section Determination Algorithm in EPS in the Design of Emergency Automatics. Electric Power Plant, 3, 48-51.

[13] Alalishev, O.S. (2004) Super Computers: Field of Application and Performance Requirements. Electronics, 1.

[14] Allaev, K.R. and Mirzabaev, A.M. (2011) Small Fluctuations of Electrical Power System. Matrix Approach. Science and Technologies, Academy of Sciences Republic of Uzbekistan, Tashkent.

[15] Kalman, R.E. (1695) On the Hermite-Fujiwara Theorems in Stability Theory. Quarterly of Applied Mathematics, 23, 279-285.

[16] Kalman, R.E. and Bertram, I.E. (1960) Control System Analysis and Design via the “Second Method” of Lyapunov. 1. Continuous-Time Systems. Transactions of the ASME. Series D, Journal of Basic Engineering, 371-393.
http://dx.doi.org/10.1115/1.3662604

[17] Parks, P.C. (1962) A New Proof of the Routh-Hurwitz Stability Criterion Using the Second Method of Lyapunov. Proc. Camb. Phil. Soc. Math. Phys. Sci., 58, 694-702. http://dx.doi.org/10.1017/S030500410004072X

[18] Andreev, Y.N. (1977) Algebraic State-Space Methods in Linear Objects Control Theory. A&T, 3, 5-50.

[19] Power, H.M. (1967) The Companion Matrix and Lyapunov Functions for Linear Multivariable Time-Invariant System. Journal of the Franklin Institute, 283, 214-234. http://dx.doi.org/10.1016/0016-0032(67)90025-7

[20] Allaev, K.R. (1973) Lyapunov Function in a Quadratic Form Applied to Study Steady-State Stability in EPS. Science and Technologies, 5, 13-17.

[21] Fazilov, Kh.F. (1964) Net-work Calculations Methods. Science, Tashkent.

[22] Allaev, K.R. (1984) Lyapunov Function in a Quadratic Form as the Tool for Study of Steady-State Stability in EPS. Science and Technologies, 5, 13-17.

[23] Sovalov, S.A. (1983) Operating Conditions of Unified Energy System. Energoatomizdat, Moscow.

[24] Bukov, V.N. and Misrikhanov, M.Sh. (2003) About Matrices and Modeling Transformation in EPS. Energoatomizdat, Moscow.