Discrimination method of double-delay dependent robust stability of power system

Abstract

The invention belongs to the technical field of power systems and relates to an improved discrimination method of Lyapunov robust stability of a power system containing uncertain double-delay links, which is characterized by solving the Lyapunov functional of a double-delay system based on the Krasovskii theory, then expressing the derived function of a system trajectory from the functional by a group of linear matrix inequalities (LMI), reducing the conservation of the criterion by introducing a few necessary loose terms in the process of deducing functional derivatives and then transformingthe disturbance terms containing uncertainties by utilizing the Schur complement, thereby obtaining the stability criterion. The method of the invention has the advantages of less conservation and high operation efficiency.

Description

technical field [0001] The invention belongs to the technical field of power systems, and relates to a method for judging stability with uncertain double time lags. Background technique [0002] In nature, the future development trend of the system depends on both the current state and the past state. This kind of phenomenon is called time lag [1-2] . The time-delay phenomenon widely exists in all links of the power system, and it is an important cause of control equipment failure, system deterioration and instability. important practical significance [2-4] . [0003] Studies on the stability of time-delay systems have been carried out earlier [1] , as early as the 1950s, O.J.Smith proposed the complete theory of Smith predictor [5] , when the time-delay variation law of the system is known, the known fixed time-delay in the transfer function can be completely eliminated through it, so that it can be simplified as a general system for consideration; in addition, in the ...

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