基于包含原理多重叠互联系统动态结构分析

徐志强,陈雪波

系统科学与数学 ›› 2016, Vol. 36 ›› Issue (5) : 633-648.

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系统科学与数学 ›› 2016, Vol. 36 ›› Issue (5) : 633-648. DOI: 10.12341/jssms12777
论文

基于包含原理多重叠互联系统动态结构分析

    徐志强,陈雪波
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DYNAMIC STRUCTURE ANALYSIS OF MULTI-OVERLAPPING INTERCONNECTED SYSTEMS BASED ON INCLUSION PRINCIPLE

    XU Zhiqiang, CHEN Xuebo
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摘要

根据系统包含原理和对对分解方法,研究多重叠互联系统当子系统加入和脱离时系统模型结构的动态变化问题.通过将子系统添加矩阵与删除矩阵的有机结合,构建基于子系统数量变化的行和列组动态结构变化矩阵,使待加入和脱离的子系统与原系统相关子系统之间的信息结构动态的连接和断开.最后,将其应用于多区域互联电力系统AGC中,并采用多重叠分散LQ控制.仿真结果表明了结构变化后系统的稳定情况.

Abstract

Based on the inclusion principle and pair-wise decomposition, the dynamic structural variation of a multi-overlapping interconnected system is researched with subsystems join and disjoins. Through a combination of subsystem adding and deleting matrix, a pair of column and row group structural variation matrices, based on the change in subsystems quantity, is defined to make the information structure between the subsystem to be joined or disjoined and the related subsystems of the original system connect or disconnect dynamically. Finally, this kind of structural variation is applied to AGC of a multi-area electric power system, and taking the LQ as the multi-overlapping decentralized control. The simulation result demonstrates the stability of the system after structural variation.

关键词

包含原理 / 对对分解 / 结构变化矩阵 / 多区域互联电力系统.

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徐志强 , 陈雪波. 基于包含原理多重叠互联系统动态结构分析. 系统科学与数学, 2016, 36(5): 633-648. https://doi.org/10.12341/jssms12777
XU Zhiqiang , CHEN Xuebo. DYNAMIC STRUCTURE ANALYSIS OF MULTI-OVERLAPPING INTERCONNECTED SYSTEMS BASED ON INCLUSION PRINCIPLE. Journal of Systems Science and Mathematical Sciences, 2016, 36(5): 633-648 https://doi.org/10.12341/jssms12777
中图分类号: 37F20    15A04   
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