文章基本信息

标题：Stability Analysis by means of Discrete Abstraction. Application to Voltage Stability of Distributed Generators *
本地全文：下载
作者：Marjorie Cosson ; Hervé Guéguen ; Didier Dumur 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2015
卷号：48
期号：27
页码：364-370
DOI：10.1016/j.ifacol.2015.11.201
语种：English
出版社：Elsevier
摘要：AbstractThis paper proposes a stability analysis method for discrete-time piecewise affine systems based on the reachability study of the equivalent discrete abstraction. The finite discrete abstraction eases reachability analysis but does not allow to conclude on system instability. To be able to conclude, this abstraction is refined by bisimulation calculation until the system is found to be unstable or the discrete abstraction is found to be equivalent to the system. This method allows to conclude both on the stability and the instability of the system, avoiding the undecidable situations. This approach is illustrated on voltage stability of a distribution feeder hosting distributed generators equipped with piecewise affine control laws.
关键词：KeywordsHybrid systemsTransition systemsNonlinear systemsPiecewise linear analysisElectric power systemsReactive powerVoltage stability