# [1]计国君,史平,宋文忠,等.具周期时滞系统的移动均值及其在电力系统中的应用[J].东南大学学报(自然科学版),2003,33(1):34-40.[doi:10.3969/j.issn.1001-0505.2003.01.009] 　Ji Guojun,Shi Ping,Song Wenzhong,et al.Moving averages for periodic time-delay differential system and application to the power system[J].Journal of Southeast University (Natural Science Edition),2003,33(1):34-40.[doi:10.3969/j.issn.1001-0505.2003.01.009] 点击复制 具周期时滞系统的移动均值及其在电力系统中的应用() 分享到： var jiathis_config = { data_track_clickback: true };

33

2003年第1期

34-40

2003-01-20

## 文章信息/Info

Title:
Moving averages for periodic time-delay differential system and application to the power system

1 厦门大学管理学院, 厦门 361005; 2 南京财经大学基础教学部, 南京 210003; 3 东南大学自动化研究所, 南京 210096
Author(s):
1 School of Management, Xiamen University, Xiamen 361005, China
2 Department of Basic Courses, Nanjing Economics University, Nanjing 210003, China
3 Institute of Automation, Southeast University, Nanjing 210096, Ch

Keywords:

TM711;O322
DOI:
10.3969/j.issn.1001-0505.2003.01.009

Abstract:
This paper is partly based on the idea of averaging of differential systems proposed by Halanay and Hale in the 1960’s. The moving averages for periodic time-delay differential system is presented and its averaging theorems are proved by the method of moving averages and district-analysis. The asymptotic behavior of the solutions to the system and its averaged system are obtained. The district-analysis and the theorem differ from previous work in taking into account the time-delay terms existing in the averaged system. A model of over-voltage with time-delay and with periodic excitation, caused by asynchronous closing of switches in power systems, is given. Study on the system stabilization under periodic disturbances and feedback time-delay verifies the above results.

## 参考文献/References:

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