宇波, 王鹏, 王丽燕, 向月. 基于分而治之思想的天然气管网仿真方法[J]. 油气储运, 2017, 36(1): 75-84. DOI: 10.6047/j.issn.1000-8241.2017.01.010
引用本文: 宇波, 王鹏, 王丽燕, 向月. 基于分而治之思想的天然气管网仿真方法[J]. 油气储运, 2017, 36(1): 75-84. DOI: 10.6047/j.issn.1000-8241.2017.01.010
YU Bo, WANG Peng, WANG Liyan, XIANG Yue. A simulation method for natural gas pipeline networks based on the divide-and-conquer concept[J]. Oil & Gas Storage and Transportation, 2017, 36(1): 75-84. DOI: 10.6047/j.issn.1000-8241.2017.01.010
Citation: YU Bo, WANG Peng, WANG Liyan, XIANG Yue. A simulation method for natural gas pipeline networks based on the divide-and-conquer concept[J]. Oil & Gas Storage and Transportation, 2017, 36(1): 75-84. DOI: 10.6047/j.issn.1000-8241.2017.01.010

基于分而治之思想的天然气管网仿真方法

A simulation method for natural gas pipeline networks based on the divide-and-conquer concept

  • 摘要: 随着天然气管网规模不断扩大,其拓扑结构越来越复杂,管网瞬态仿真过程所需的计算量及计算耗时都迅速增长。基于分而治之思想提出了一种简单高效的仿真方法:先求解天然气管网中各元件之间的连接点,进而将管网分解成若干条独立的管道,然后逐一求解每一条管道的水力参数和热力参数,连接点和管道的求解分别采用简单高效的共轭梯度和三对角矩阵算法。通过实例对比分而治之方法与SPS软件,结果表明:该方法计算精度与SPS软件相当;仿真速度与SPS软件处于同一量级,且超过SPS软件的1.5倍;对于管网规模的适应性与SPS软件相当,甚至当管网规模较大时,适应性更优。

     

    Abstract: With the expanding of natural gas pipeline networks, the topological structures get more and more complicated and the demanded computation and time consumption in the process of pipeline-network transient simulation increase sharply. To solve this problem, a high-efficiency simple simulation method FS-D&C was proposed according to the divide-and-conquer concept. Firstly, all connection nodes between the components of natural gas pipeline network are solved. Secondly, the pipeline network is divided into several independent pipelines. Thirdly, the hydraulic and thermal parameters of each pipeline are solved one after another. The connection nodes and the pipelines are solved by the conjugate gradient (CG) method and the tridiagonal matrix method, respectively. The proposed method based on divide-and-conguer concept and SPS software was compared in a case. The FS-D&C method can be implemented simply with the calculation accuracy as high as SPS but the calculation speed 1.5 times faster than SPS. The method has strong adaptability to the simulation of pipeline networks as well as SPS, and is even much stronger when the network size becomes larger.

     

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