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.
Highlights
IntroductionStudy of electric power systems (EPS) stability at small disturbances is based on known classical concepts of the General Theory of Stability of Motion [1]-[8]
Study of electric power systems (EPS) stability at small disturbances is based on known classical concepts of the General Theory of Stability of Motion [1]-[8].As is known [1]-[4] [7], features of EPS are their continuous flow process, complexity, multiple connection of system of facilities and their control devices
Development of the automated dispatch control systems (ADCS) for EPS and automatic control systems require the new approach to development of the simplified mathematical models and the algorithms meeting the practical requirements that form the basis of complex EPS control [1] [4] [7] [8]
Summary
Study of EPS stability at small disturbances is based on known classical concepts of the General Theory of Stability of Motion [1]-[8]. In most cases the complex power system steady-state stability analysis is carried out under the supposition of the lack of a self-oscillation in the electric power system considering that this requirement is ensured by appropriate setting of automatic regulators [3] In this case the problem becomes simpler and is reduced to study of an aperiodic steady-state stability of the system, i.e. to definition of dependence and a sign for the constant term of the characteristic equation of the system upon the continuous variation of any parameter of the operation condition. According to Lyapunov’s direct method which is applied to study of a dynamic systems stability including electrical power systems it is generally supposed definition of special sign-definite function of state variables. On the basis of Lyapunov’s functions in a quadratic form, we will carry out computational-experimental research of a steady-state stability of both simplex and complex EPSs and compare results for them with the results obtained conventionally on the basis of the Routh-Hurwitz criterion
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
