A method and controller for time-delay power system stability analysis with reduced conservatism

Abstract

The analysis method of the present invention at first constructs the wide-area power system mathematical model that contains interval variable time-delay, then, proposes a kind of construction method of new augmentation vector and Lyapunov-krasovskii functional: when constructing Lyapunov-Krasovskii functional, in V 1 A new augmented variable is introduced in V 2 Segmented integral processing is done on the integral interval of V 4 The triple integral term is introduced in the construction, and the above method can further reduce the conservatism of the system stability criterion. At the same time, in the process of derivation and analysis of Lyapunov-Krasovskii functional, methods such as Wirtinger integral inequality, Extended integral inequality and convex combination are introduced to reduce the scaling error in the process of functional analysis and reduce the conservatism of the system stability conclusion It expands the stable operation area of ​​the system. On this basis, a feedback controller is designed, and the non-linear term is dealt with by using the step-by-step linearization method, and the existence condition of the controller is reduced to the form of strict linear matrix inequality. Good control effect.

Description

technical field

[0001] The invention belongs to the technical field of wide-area power system analysis, and specifically relates to an analysis method for time-delay power system stability with reduced conservatism, and at the same time, the invention also relates to a feedback controller for time-delay power system stability. Background technique

[0002] At present, there are mainly two methods for analyzing the stability of time-delay power systems. One is the frequency domain method, which mainly transforms the characteristic equation of the time-delay system and obtains the distribution of the corresponding eigenvalues ​​to analyze the system. The calculation process is very complicated, and once the operating state of the power system jumps or contains time-varying parameters, this method is difficult to work. Compared with the frequency domain method, the time domain method is currently the most important method for analyzing the stability of time-delayed power system...

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