基于图论的L-13站工艺系统拓扑分析

Topological analysis on the process system of L-13 station based on graph theory

为了实现天然气集输站场可靠度的计算,开展了天然气集输站场工艺系统拓扑结构分析以及各单元间连通关系的研究。以L-13天然气集输站为例,基于图论建立了该站场主要工艺系统拓扑图。采用矩阵分析法中的初始邻接矩阵自乘法,结合MATLAB软件,计算得到了该站场水套炉停用前后对应的全连通矩阵和各节点间的连通级数。结果表明:水套炉停用前后,该站场工艺流程系统均属于同一连通片,不存在独立单元,系统可靠度的计算需要考虑各单元之间的相互作用;相邻两节点间的相互作用最大,且水套炉停用前,节点6与节点7之间相互作用最小,水套炉停用后,节点1与节点7之间相互作用最小;各节点间连通级数的变化与实际工艺流程相匹配,图论和矩阵分析法能够满足站场工艺系统动态拓扑分析的要求。

To calculate the reliability of gas gathering stations, the topological structures of process systems at gas gathering stations were analyzed and the connection relation between their units was investigated. L-13 gas gathering station was taken as the example, its topological graph of the main process system was built based on the graph theory. Then, the fully connected matrix and the connection series of each node before and after the outage of water jacket furnace at this station were calculated by using the initial adjacency matrix squaring method which belongs to the matrix analysis method, combined with the MATLAB software. It is indicated that the process system of this station belongs to the same connection area before and after the outage of the water jacket furnace, and there is no independent unit in this system, so it is necessary to take into consideration the interactions between the units when the reliability of the system is calculated. The interaction between two adjacent nodes is the greatest. The interaction between node 6 and node 7 is the smallest before the outage of the water jacket furnace, and that between node 1 and node 7 is the smallest after the outage. The variation of the connection series between nodes is in line with the actual technological process. It is demonstrated that the graph theory and the matrix analytical method can meet the requirements of dynamic topological analysis on the process system of stations. （4 Figures, 23 References）