围绕水工稳定性研究中的某些关键问题

IF 0.5 Q3 MATHEMATICS

Archivum Mathematicum Pub Date : 2023-01-01 DOI:10.5817/am2023-1-109

V. Rǎsvan

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引用次数: 0

摘要

．考虑了一个基准水电站的数学模型，该水电站包含一个水库(湖)、两个水管(隧道和水轮机压力管)、调压舱和水轮机;所有分布(Darcy-Weisbach)和局部水力损失被忽略，唯一的能量消耗仍然是调压箱的节流。指数稳定性要求与模型相关的差分算子具有渐近稳定性。然而，在这种情况下，这种稳定性是“脆弱的”

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Around certain critical cases in stability studies in hydraulic engineering

. It is considered the mathematical model of a benchmark hydroe-lectric power plant containing a water reservoir (lake), two water conduits (the tunnel and the turbine penstock), the surge tank and the hydraulic turbine; all distributed (Darcy-Weisbach) and local hydraulic losses are neglected,the only energy dissipator remains the throttling of the surge tank. Exponential stability would require asymptotic stability of the difference operator associated to the model. However in this case this stability is “fragile” i

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来源期刊

Archivum Mathematicum MATHEMATICS-

CiteScore

0.70

自引率

16.70%

发文量

审稿时长

35 weeks

期刊介绍： Archivum Mathematicum is a mathematical journal which publishes exclusively scientific mathematical papers. The journal, founded in 1965, is published by the Department of Mathematics and Statistics of the Faculty of Science of Masaryk University. A review of each published paper appears in Mathematical Reviews and also in Zentralblatt für Mathematik. The journal is indexed by Scopus.