论文标题
通过半分析溶液方法模拟天然气网络中的瞬态
Simulation of Transients in Natural Gas Networks via A Semi-analytical Solution Approach
论文作者
论文摘要
天然气网络中瞬时流动流的模拟和控制涉及求解部分微分方程（PDE）。本文提出了一种半分析溶液（SAS）方法，以快速准确地模拟天然气瞬变。感兴趣的区域分为一个网格，并以多元多项式的形式为每个网格单元得出一个SAS，根据初始值和边界值条件鉴定了系数。解决方案以``时间步变''的方式解决；也就是说，在一个时间步骤之内，确定了SA的系数，并评估下一个时间步骤的初始值。该方法比广泛使用的有限差异方法获得了更大的网格电池，因此可以显着提高计算效率。为了进一步减轻计算负担，模型中的非线性项是简化的，这诱导了另一种可以大大降低时间消耗并对准确性产生较小影响的SAS方案。该模拟会导致单个管道案例和6节点网络案例验证所提出的SAS方法在准确性和计算效率方面的优势。
Simulation and control of the transient flow in natural gas networks involve solving partial differential equations (PDEs). This paper proposes a semi-analytical solutions (SAS) approach for fast and accurate simulation of the natural gas transients. The region of interest is divided into a grid, and an SAS is derived for each grid cell in the form of the multivariate polynomials, of which the coefficients are identified according to the initial value and boundary value conditions. The solutions are solved in a ``time-stepping'' manner; that is, within one time step, the coefficients of the SAS are identified and the initial value of the next time step is evaluated. This approach achieves a much larger grid cell than the widely used finite difference method, and thus enhances the computational efficiency significantly. To further reduce the computation burden, the nonlinear terms in the model are simplified, which induces another SAS scheme that can greatly reduce the time consumption and have minor impact on accuracy. The simulation results on a single pipeline case and a 6-node network case validate the advantages of the proposed SAS approach in accuracy and computational efficiency.
