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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 | |
| 引用本文： | 计国君,史平,宋文忠,戴先中.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. |
| 作者姓名： | 计国君 史平 宋文忠 戴先中 |
| 作者单位： | 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 |
| 基金项目： | 国家杰出青年资金资助项目 ( 5992 5718) |
| 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。 |
| 关 键 词： | 移动均值方法 时滞系统 周期扰动 电力系统 过电压 |
| 文章编号： | 1001-0505(2003)01-0034-07 |
Moving averages for periodic time-delay differential system and application to the power system |
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| Ji Guojun,Shi Ping,Song Wenzhong,Dai Xianzhong.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. | |
| Authors: | Ji Guojun Shi Ping Song Wenzhong Dai Xianzhong |
| Institution: | Ji Guojun 1 Shi Ping 2 Song Wenzhong 3 Dai Xianzhong 3 |
| 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. |
| Keywords: | moving averages time delay system periodic disturbance power system over voltage |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |