Time-varying delay wide-area electric power system stability analysis method

Abstract

The invention discloses a time-lag-dependent matrix function-based time-varying delay wide-area electric power system stability analysis method; according to the method, the stability problem of the wide-area electric power system under the influence of time lag is further researched from the perspective of the functional structure, so as to obtain a conclusion with lower conservative property. The method comprises the following steps that firstly, a novel Lyapunov-Krasovskii function with time-lag-dependent matrix is constructed, and a novel time-lag matrix different from a constant moment isintroduced, so that the time lag information in the electric power system can be more utilized., the influence of the time lag change rate on the stable operation region of the electric power systemis fully considered, a critical effect of reducing the system conservation performance is achieved, and the conservative property of the stability criterion of the electric power system is effectivelyreduced. In addition, the integral term is segmented into two integral sections for segmented treatment, and a functional derivative is analyzed, so that more time lag information is utilized, the conservation of the result is reduced, and meanwhile, the calculation burden caused by excessive segmentation areas can be avoided.

Description

technical field [0001] The invention belongs to the technical field of wide-area power system analysis, and in particular relates to a time-delay-variable wide-area power system stability analysis method based on a time-delay dependency matrix functional. Background technique [0002] In the wide-area power system, the long-distance transmission and control of measurement and control signals inevitably produce communication time lag, which may reach tens or even hundreds of milliseconds. Even a small time lag can disable an otherwise well-behaved controller, which can have a severe impact on power system stability. Therefore, it is of great practical significance to study the stability of power systems under the influence of time delay and seek effective stability control methods. [0003] At present, the time-domain analysis method based on the Lyapunov-Krasovskii stability theory is the most important one in the stability analysis methods of time-delay power systems. Thi...

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Problems solved by technology

The above literatures have reduced the conservatism of the time-delay power system stability criterion to a certain extent, but only the constant matrix is ​​introduced in the construction of the functional, so that the conclusions are somewhat conservative

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