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供水管网概率水力模型线性化求解方法 被引量:3

Probabilistic hydraulic simulation of water supply network by linearized deterministic hydraulic model
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摘要 针对确定性水力模型无法模拟节点流量的随机变化对于节点水压、管段流量的影响,只能获得某一工况下的计算结果的问题,通过将确定性水力模型在节点流量取数学期望时进行线性化,将节点水压与管段流量用节点流量的线性组合进行表达,从而利用节点流量的数学期望和标准差,求得节点水压与管段流量的概率分布.随机试验验证表明,概率水力模型的线性化求解方法,求解结果与随机试验方法计算结果吻合良好.这说明在节点流量数学期望值附近,可以利用线性化确定性水力模型进行供水管网的概率水力模拟. Since many parameters in a water supply network hydraulic model are random variables,and deterministic hydraulic models cannot simulate the fluctuation of nodal heads and pipe flows according to the fluctuation of these random parameters,hydraulic simulation can only obtain results according to certain input parameters.Through linearizing the deterministic hydraulic model at the expected values of nodal flows,the nodal heads and pipe flows can be formulated as linear combinations of nodal flows.The probability density curves of nodal heads and pipe flows can be calculated using the expected values and variances of nodal flows.Example verification shows that the results of probabilistic hydraulic simulation are accordant with those of Monte Carlo simulation.This indicates that near the expected values of nodal flows,the linearized deterministic hydraulic models can be used for probabilistic hydraulic simulation of water supply networks.
作者 金溪
出处 《河海大学学报(自然科学版)》 CAS CSCD 北大核心 2011年第4期458-463,共6页 Journal of Hohai University(Natural Sciences)
基金 武汉理工大学博士科研启动资金(471-38650494)
关键词 供水管网 水力模型 线性化 概率模拟 water supply network hydraulic model linearization probabilistic simulation
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同被引文献17

  • 1赵志领,赵洪宾,何文杰,阴沛军,韩宏大,吴晨光.城市给水管网水质安全保障研究[J].哈尔滨商业大学学报(自然科学版),2006,22(6):102-105. 被引量:8
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  • 9陆海,吕谋,董深.给水管网微观模型水力校正研究[J].青岛理工大学学报,2008,29(1):84-87. 被引量:4
  • 10刘孟军,邹平华,何钟怡.供水管网中节点流量随机性的影响分析[J].给水排水,2007,33(S1):350-354. 被引量:8

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