Full characteristic spectrum tracking method for time delay power system based on optimization procedure

Abstract

The invention discloses a full characteristic spectrum tracking method for a time delay power system based on an optimization procedure. The method comprises the following steps of: tracking a full characteristic spectrum locus of the time delay power system according to the prediction-correction thought, gradually increasing time delay of the system from zero time delay, performing prediction by using the calculation results of the front two steps, and correcting the prediction result by solving an optimization model to realize solution of all characteristic spectrum loci of the time delay system. The invention provides the method capable of tracking the time delay change loci of complete characteristic spectrums of the time delay system for the first time, and analysis of complex dynamic behaviors of the time delay system is realized by accurately solving the full characteristic spectrum loci of the time delay system. The method can be used for researching the change rule of the characteristic value of the time delay system, and can also be used for scientifically assessing the control effect of a closed-loop controller for the time delay system.

Description

technical field [0001] The invention relates to a method for tracking a full characteristic spectrum of a time-delay power system, in particular to a method for tracking a full characteristic spectrum of a time-delay power system based on an optimization process. Background technique [0002] In nature, the future development trend of the system depends on both the current state and the past state. This phenomenon is called time lag. The time lag phenomenon widely exists in all aspects of the power system, but the traditional control signal is mainly taken from the local measurement device, the time lag is very small, and it is usually not considered [2] . However, in the wide-area environment, the time delay of the remote measurement link is very obvious, so it is of great practical significance to study the influence of the time delay on the stability of the power system. [0003] The existing methods for stability analysis of time-delay systems can be roughly divided in...

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Problems solved by technology

[0007] It is well known that time-delay systems are typical infinite-dimensional systems [17] , its dynamic characteristics are extremely complex [1-2，4-5] , its dynamic behavior is closely related to its eigenvalues, but neither the time-domain simulation method nor the Lyapunov method can directly solve the eigenvalues ​​of the time-delay system, and the existing analysis methods based on the stability theory of linear time-delay systems can only Realize the calculation of key eigenvalues ​​of time-delay systems [8-16]

Since none of the above methods can accurately track the complete characteristic spectrum change trajectory of the time-delay system, it cannot reveal many complex dynamic behaviors of the time-delay dynamical system.

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