[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]
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具周期时滞系统的移动均值及其在电力系统中的应用()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
33
期数:
2003年第1期
页码:
34-40
栏目:
电气工程
出版日期:
2003-01-20

文章信息/Info

Title:
Moving averages for periodic time-delay differential system and application to the power system
作者:
计国君1 史平2 宋文忠3 戴先中3
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):
Ji Guojun1 Shi Ping2 Song Wenzhong3 Dai Xianzhong3
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
关键词:
移动均值方法 时滞系统 周期扰动 电力系统 过电压
Keywords:
moving averages time-delay system periodic disturbance power system over-voltage
分类号:
TM711;O322
DOI:
10.3969/j.issn.1001-0505.2003.01.009
摘要:
基于20世纪60年代 Halanay 和Hale 关于微分系统平均性的思想,利用移动均值方法,研究了一类非线性具周期时滞系统的移动均值,利用移动均值方法和分区间分析方法证明了该类系统的平均化定理,得到了该类系统及其平均化系统解的渐近性行为.本文的分区间分析方法及定理与以往研究的不同之处在于考虑了平均化系统中的时滞项.最后将结论应用到一个具有周期激励的时滞系统模型——非同期合闸产生的过电压模型,研究了该类系统在周期扰动和反馈控制下的稳定性问题,验证了本文所得结果.
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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备注/Memo

备注/Memo:
基金项目: 国家杰出青年资金资助项目(59925718).
作者简介: 计国君(1964—),男,博士,教授.
更新日期/Last Update: 2003-01-20