State and Parameter Estimation for Natural Gas Pipeline Networks Using Transient State Data

State and Parameter Estimation for Natural Gas Pipeline Networks Using Transient State Data
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使用瞬态数据的天然气管网状态和参数估计

DOI:
10.1109/tcst.2018.2851507
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发表时间:
2018
影响因子:
4.8
通讯作者:
Anatoly Zlotnik
Anatoly Zlotnik
中科院分区:
计算机科学2区
文献类型:
--
作者:
K. Sundar;Anatoly Zlotnik

文献摘要

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我们为管道系统制定了两个估计问题,其中流过管道网络的可压缩气体的测量受到时变注入,提取和压缩的影响。我们考虑一个状态估计问题,然后将其扩展为可用于数据同化的联合状态和参数估计问题。在这两个公式中,每根管道上的流动动力学都是通过空间和时间相关的密度和质量通量来描述的,这些密度和质量通量是根据耦合偏微分方程系统演变的,其中动量耗散是使用Darcy-Wiesbach摩擦近似来建模的。首先对这些动力学进行空间离散,得到一个非线性常微分方程系统,其状态和参数估计公式以非线性最小二乘问题的形式给出。提出了一种快速、可扩展的非线性最小二乘估计计算方法。在多个管道测试网络上进行的大量模拟和计算实验表明,在存在测量和过程噪声的情况下,该公式在获得状态和参数估计方面是有效的。
We formulate two estimation problems for pipeline systems in which measurements of the compressible gas flowing through a network of pipes are affected by time-varying injections, withdrawals, and compression. We consider a state estimation problem that is then extended to a joint state and parameter estimation problem that can be used for data assimilation. In both formulations, the flow dynamics are described on each pipe by space- and time-dependent densities and mass flux which evolve according to a system of coupled partial differential equations, in which momentum dissipation is modeled using the Darcy–Wiesbach friction approximation. These dynamics are first spatially discretized to obtain a system of nonlinear ordinary differential equations on which state and parameter estimation formulations are given as nonlinear least squares problems. A rapid, scalable computational method for performing a nonlinear least squares estimation is developed. Extensive simulations and computational experiments on multiple pipeline test networks demonstrate the effectiveness of the formulations in obtaining state and parameter estimates in the presence of measurement and process noise.