利用一阶Taylor展开的方法分析了由于管道阻抗的不确定性所导致的热网中管段流量和节点压力的不确定性问题。基于正态分布导出了管网中管段流量和节点压力的概率密度分布和数学期望、方差等数字特征。对实例的分析表明,管道阻抗的不确定性对热网中的管段流量和节点压力有较大的影响。
Studies the uncertainty of pipe flow and node pressure resulting from the uncertainty of pipeline impedance by means of the first order Taylor expansion. Based on the normal distribution, deduces the probability density distributions of pipe flow and node pressure and the numerical features such as mathematic expectation and variance. The results of an example analyses indicate that the uncertainty of pipeline impedance has notable effects on pipe flow and node pressure in heat-supply networks.