This paper investigates the stability of power systems with load frequency control considering time delays(constant and time-varying delays). A new criterion for ensuring the stability of the system is proposed on the basisof Lyapunov stability theory and a further strengthened inequality. Finally, taking a single-area load frequencycontrol scheme with the proportional-integral controller as an example, according to the stability criterion obtained,the relationship between the maximum allowable delay and the gain of proportional-integral controller is discussed. Besides, in case studies, the effectiveness of our method is also demonstrated.
This paper investigates the stability of power systems with load frequency control considering time delays(constant and time-varying delays). A new criterion for ensuring the stability of the system is proposed on the basisof Lyapunov stability theory and a further strengthened inequality. Finally, taking a single-area load frequencycontrol scheme with the proportional-integral controller as an example, according to the stability criterion obtained,the relationship between the maximum allowable delay and the gain of proportional-integral controller is discussed. Besides, in case studies, the effectiveness of our method is also demonstrated.