Abstract
This paper aims at developing a novel stability criterion to access the influence of the time-varying delay on the stability of power systems equipped with a proportional-integral (PI)-based load frequency control (LFC). The model of the LFC scheme considering time-varying communication delays is established at first. Then, an improved stability condition related to the information of delay bounds is deduced by constructing an augmented Lyapunov–Krasovski functional and using a matrix inequality, and it is expressed as linear matrix inequalities (LMIs) for easily checking. Finally, case studies for one-area and two-area LFC systems are carried out to show the relationship between delay margins ensuring the stability and the PI gains of the LFC, and also verify the superiority of proposed stability criterion compared with the previous ones.
Highlights
Frequency of grid, as the one of important standards for power quality, is required to stay in a constant or within a small range nearby
The results indicate that the relationship between the stability margin and the gains is complex, which is important for the selection of control gains during the design of the load frequency control (LFC) scheme
This paper has investigated the stability problem of power systems with PI-based LFC scheme by taking into account the time-varying communication delays
Summary
As the one of important standards for power quality, is required to stay in a constant or within a small range nearby. For achieving this objective, load frequency control (LFC). With the expansion of contemporary power systems and the development of power marketization, the LFC requires the transmission of relevant information by means of an open communication network. The open communication network can realize a mass of data and extensive information exchange, but it will drop random delays and data packets into the LFC scheme [7,8,9].
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