基于集总参数模型的天然气管道动态仿真  

Natural gas pipeline dynamic simulation based on lumped parameter model

作　　者：王力 王寿喜 李嘉浩[2] 王勇 全青 WANG Li;WANG Shouxi;LI Jiahao;WANG Yong;QUAN Qing(Petroleum Engineering School,Southwest Petroleum University,Chengdu 610500,Sichuan Province,China;College of Petroleum Engineering,Xi′an Shiyou University,Xi′an 710065,Shaanxi Province,China)

机构地区：[1]西南石油大学石油与天然气工程学院,四川成都610500 [2]西安石油大学石油工程学院,陕西西安710065

出　　处：《化学工程》2025年第1期66-71,83,共7页Chemical Engineering(China)

基　　金：国家自然科学基金青年科学基金资助项目(51704236)。

摘　　要：为解决天然气管道仿真传统数值模型受管长离散尺寸约束,导致计算效率低的问题,采用Lanczos积分法对管道流动非线性偏微分方程积分,推导建立集总参数模型。针对模型中的时间常微分项,使用有限差分离散化及Newton-Raphson方法数值求解,实现管道流动动态仿真。与商业软件Pipeline Studio、有限差分和特征线方法相比较,数值研究了模型的仿真精度和速度。结果表明:集总参数模型的仿真压力和流量平均相对误差分别为0.04%和1.37%,仿真精度与有限差分方法相当,其仿真速度是有限差分方法的20.53倍;不同管道长度(5—400 km)和时间步长(1—30 min)条件下,模型均稳定收敛。由于受积分截断误差的影响,模型仿真精度随单根管道长度增加而下降。为保证仿真精度,模型存在适用单根管道长度上限。建立的集总参数模型,在满足仿真精度的同时,显著地提高了仿真速度。所得结论为将模型推广应用于大规模天然气管网提供理论基础和支撑。To address the issues with the traditional natural gas pipeline simulation model,which is constrained by discrete sizes,resulting in low computational efficiency.A LPM(lumped parameter model)was proposed by applying the Lanczos modified integral rule to the nonlinear partial differential equations of gas pipeline flow.The time ordinary differential terms in LPM were discretized using the FDM(finite difference method)and solved using the Newton-Raphson method,and the dynamic simulation of pipeline flow was realized.Compared with the Pipeline Studio commercial software,FDM and MOC(method of characteristic),the simulation accuracy and speed of the model were studied numerically.The results show that the average relative errors of LPM for pressure and flow are 0.04%and 1.37%,which calculation accuracy is close to that of FDM,and the simulation speed is 20.53 times that of FDM.LPM converges stably under different pipeline length(5-400 km)and time steps(1-30 min).Due to the influence of the integral truncation error,the simulation accuracy of LPM decreases with the increase of the length of a single pipe.Therefore,to ensure simulation accuracy,LPM has a limit on the length of a single pipeline.The established LPM for dynamic simulation of natural gas pipelines significantly improves the simulation speed while promising simulation accuracy.These results and conclusions can provide support for extending the LPM to large-scale natural gas pipeline networks.

关 键 词：天然气 管道流动 集总参数 模型 Newton-Raphson算法 动态仿真 

分 类 号：TE832.3[石油与天然气工程—油气储运工程]