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水力发电学报 ›› 2020, Vol. 39 ›› Issue (1): 31-43.doi: 10.11660/slfdxb.20200104

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非一致性最低通航水位设计的保证率频率法

  

  • 出版日期:2020-01-25 发布日期:2020-01-25

Guarantee-rate frequency analysis method for designing the lowest navigable water levels with inconsistent characters

  • Online:2020-01-25 Published:2020-01-25

摘要: 变化环境导致水位序列的高阶矩呈现显著的时变性,仅考虑均值变异得到的最低通航水位设计值已无法反映真实水位情况。针对该问题,本文基于分解合成思想和二阶矩变异分析方法,提出方差变异条件下非一致性最低通航水位设计的保证率频率法,并以高道水文站为研究对象对该方法进行验证。结果表明,考虑方差变异的情况下,高道站95%和98%年保证率水位序列在现状环境条件下的水位设计值较过去分别偏大2.15 m和1.60 m(当设计频率取80%时)。此外,考虑方差变异、仅考虑均值变异、未考虑任何变异三种情况得到的水位设计值存在明显差异,证明了在进行非一致性最低通航水位设计时考虑均值变异和方差变异的必要性。

关键词: 最低通航水位, 非一致性, 方差变异, 保证率频率法, 分解与合成

Abstract: The changing environment has brought about time-varying high-order moments of a series of river stage. Therefore, those design lowest navigable water levels considering only variations in the series mean are inconsistent with reality. To solve this problem, we develop a variance variability-based guarantee-rate frequency analysis method based on the idea of decomposition and integration and a second-order moment variation analysis, and demonstrate its application in a case study for the Gaodao hydrological station. Results show that when variance variation is considered, design lowest navigable water levels at guarantee rates of 95% and 98% under the current condition are 2.15 m and 1.60 m higher than those of traditional designs respectively (at frequency of 80%). And the differences in the design values among three cases ? considering variance variation, considering mean variation only, considering neither of them ? are prominent, confirming the necessity of analyzing both mean variation and variance variation.

Key words: lowest navigable water level, non-stationarity, variance variability, guarantee-rate water level frequency method, decomposition and integration

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