Simplified Criterion of Steady-State Stability of Electric Power Systems

K. R. Allaev¹, A. M. Mirzabaev², T. F. Makhmudov³, T. A. Makhkamov⁴

¹Power Engineering Department, Tashkent State Technical University, Tashkent, Republic of Uzbekistan.
²Mir Solar LLC, Tashkent, Republic of Uzbekistan.
³Power Engineering Department, Tashkent State Technical University, Tashkent, Republic of Uzbekistan.
⁴Research and Development Department, Tecon Groups, Moscow, Russian Federation.

DOI: 10.4236/jpee.2015.34031                

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, the 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 practical importance.

Keywords

Steady-State Stability, Matrix Method, Lyapunov Function, Node-Voltage Equations

Conflicts of Interest

The authors declare no conflicts of interest.

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