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AASCIT Communications | Volume 2, Issue 3 | May 5, 2015 online | Page:74-81
Matrix Analysis of Steady–State Stability of Electric Power Systems
Abstract
In the paper the simplified criterion of a steady – state stability of electric power systems (EPS) is justified on the basis of Lyapunov functions in a quadratic form ensuring necessary and sufficient conditions of its performance. Upon that, use of the node – voltage equations allows reducing study of a steady – state stability of complex EPS to study of the generator – bus system. The obtained results facilitate studies of a steady – state stability of the complex systems and have the practical importance.
Authors
[1]
Allaev K. R., Power Plants, Networks and Systems Faculty, Tashkent State Technical University, Tashkent, Republic of Uzbekistan.
[2]
Mirzabaev A. M., PV Solar Plants Faculty, International Solar Energy Institute, Tashkent, Republic of Uzbekistan.
[3]
Makhmudov T. F., Power Plants, Networks and Systems Faculty, Tashkent State Technical University, Tashkent, Republic of Uzbekistan.
[4]
Makhkamov T. A., Power Plants, Networks and Systems Faculty, Tashkent State Technical University, Tashkent, Republic of Uzbekistan.
Keywords
Steady – State Stability, Matrix Method, Lyapunov Function, Node – Voltage Equations
Reference
[1]
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[2]
A. Bacciotti, L. Rosier, “Lyapunov Functions and Stability in Control Theory”, 2nd edition, Springer–Verlag Berlin, Heidelberg, 2005.
[3]
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[4]
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[5]
P.M. Anderson, Fouad A.A., “Power system control and stability”, 2nd Edition, IEEE, Wiley–interscience, USA, 2003.
[6]
M.Sh. Misrikhanov, V.N. Ryabchenko, “Quadratic problems of eigenvalue in EPS”, A&T, No. 5, 2006, pp. 24 – 47.
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[14]
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[15]
K.R. Allaev, “Lyapunov function in a quadratic form as the tool for study of steady–state stability in EPS” Science and Technologies, No. 5, Tashkent, 1984, pp. 13 – 17.
[16]
S.A. Sovalov, “Operating conditions of Unified Energy System”, Energoatomizdat, Moscow, 1983.
Arcticle History
Submitted: Mar. 27, 2015
Accepted: Apr. 20, 2015
Published: May 5, 2015
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