Power system vibration mode matching method based on matrix perturbation theory

Abstract

The invention discloses a power system vibration mode matching method based on a matrix perturbation theory. The method comprises the following steps: first, calculating to obtain a characteristic value and a characteristic vector corresponding to an initial system mode before parameter change by applying characteristic value analysis, and then calculating approximate values corresponding to the system mode of the characteristic value and the characteristic vector after the parameters change by utilizing the matrix perturbation theory; then, determining the corresponding relationship between the approximate values of the characteristic value and the characteristic vector before and after the parameters change; later on, finding a mode which is closest to the approximate values from exact values of the system mode after the parameters change, establishing the corresponding relationship between the exact values and the approximate values of the system mode after the parameters change; finally, establishing the matching and corresponding relationship between the system modes before and after the parameters change according to a contact link between the system modes after and before the approximate values of the system modes serving as parameters change. The method has the beneficial effects that the principle is simple and clear, the discrimination is fine and the criteria are complete.

Description

technical field [0001] The invention relates to the technical field of power systems and automation thereof, in particular to a method for matching oscillation modes of power systems based on matrix perturbation theory. Background technique [0002] In the small-disturbance stability analysis of power systems, pattern matching refers to establishing the correspondence between system patterns (eigenvalues) before and after changes in system operating parameters or equipment parameters. Mode matching is an interval analysis of small disturbance stability when considering uncertain factors [Xing Jie, Chen Chen. Interval analysis method for small disturbance stability under uncertain load. Electric Power System Automation, 2009,33(4):6-10.] [Xing Jie, Chen Chen, Wang Jie. Small disturbance stability analysis method under interval uncertain information. Electric Power System Automation, 2010,34(6):12-16.] and probability analysis [BuSQ, DuW, WangHF, et al. Probabilisticanalysiso...

AI Technical Summary

Problems solved by technology

However, the pattern matching method based on the similarity identification of pattern feature quantity has certain deficiencies: (1) It is difficult to give universal typical values ​​for many thresholds in the criterion [Yan Changyou, Zhou Xiaoxin, Tian Fang, et al. Power System Online Pattern recognition of small disturbance dominant features and selection method of strong correlation unit. Power Grid Technology, 2009,33(13):42-47.]; (2) It is necessary to establish a more suitable and precise mathematical expression for the criterion, such as the strong correlation of the mode The grouping of the units does not change much; (3) In the process of parameter changes, the modes may be close to each other and the modal instability may occur [Zhao Shuqiang, Chen Kang, Ma Yanfeng, et al. Intensive natural oscillation mode power system Modal Analysis. Power System Automation, 2011,35(21):6-11.】

Insufficient confidence in the pattern matching results as only a part of the criteria are satisfied

Images