Analytical study on possible self-excited oscillation in S-shaped regions of pump-turbines

Analytical study on possible self-excited oscillation in S-shaped regions of pump-turbines
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水泵水轮机S形区域可能自激振荡的分析研究

DOI:
10.1177/0957650911419442
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发表时间:
2011-09
影响因子:
1.7
通讯作者:
徐进超
徐进超
中科院分区:
工程技术4区
文献类型:
--
作者:
周建旭;Bryan W. Karney;胡明;徐进超

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作为一种可再生能源,抽水蓄能电站在更好地平衡供需方面具有很大的前景,特别是随着间歇性电源的进一步发展和对智能电网的日益需求。然而,水泵水轮机往往涉及有问题的S形区域在其机器特性,因此,虽然抽水蓄能可以解决电网中的一些问题,水泵水轮机的操作和控制可能会导致其他问题,包括严重的自激振荡的水力机械系统。这些业务挑战非常严峻,甚至导致了一些据报的事故。本文以两个典型的复杂输水系统(共尾水洞和共上游压力管道)为例,从有压管道流的基本方程出发,结合水泵水轮机的特性,推导出了水泵水轮机自激振荡的数学方程,并对第一种分析方法进行了简化,得到了单个水泵水轮机系统的自激振荡特性。通过非线性振动理论及其相应的多尺度解析解算法,对该结构的幅频特性进行了分析研究。通过算例分析,利用MATLAB中的功率谱分析模块,计算结果表明,当水轮机在S形区域停留较长时间后,不可避免地会发生由多个振荡模态叠加而成的剧烈自激振荡,数值计算结果与理论分析吻合较好。
As a renewable energy resource, the pumped storage power station has great prospects for better balancing supply and demand, particularly with further development of intermittent power sources and the growing need for an intelligent electric grid. However, pump-turbines often involve problematic S-shaped regions in their machine characteristics and thus, while pumped storage may solve some problems in the grid, pump-turbine operation and control can lead to other problems including severe self-excited oscillation in the hydro-mechanical system. These operational challenges have been so severe that they have even led to some reported accidents. Based on two typical and complex water conveyance systems, including two pump-turbine system sharing a common tail tunnel and two pump-turbine systems sharing an upstream penstock, the mathematical equations for self-excited oscillation are deduced from the basic equations of pressurized pipe flow coupled to the pump-turbine’s characteristics; moreover, the behaviour of a single pump-turbine system is obtained through simplification of the first analysis. An analytical study is performed and the amplitude–frequency characteristic is investigated by means of both non-linear vibration theory and its corresponding analytical solution algorithm through a multi-scale method. With a given case study in detail, the results show that, for the turbines staying in the S-shaped regions for a relatively long time, self-excited oscillation inevitably occurs with severe oscillation superposed by several oscillation modes by the use of power spectral analysis module in MATLAB, and numerical results are shown to agree well with the theoretical analysis.
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