Fast method for the hydraulic simulation of natural gas pipeline networks based on the divide-and-conquer approach

Abstract To apply an implicit method to simulate a natural gas pipeline network, all involved components should be solved in a coupled manner. Therefore, the computation burden and time sharply increase with the network size and complexity rise. To solve this problem, a fast method, which is the decoupled implicit method for efficient network simulation (DIMENS) based on the divide-and-conquer approach, is proposed. In this method, first, the hydraulic variables of all multi-pipeline interconnection nodes are solved; next, the pipeline network is divided into several independent pipelines, and the equations for all pipelines are solved. Compared with the Stoner Pipeline Simulator (SPS), which is a well-known commercial pipeline simulation software worldwide, the DIMENS method yields comparable calculation accuracy with 2.5 times the calculation speed of the SPS. The DIMENS method has strong adaptability to the simulation of the pipeline network, and the computing time in the test example depends linearly on the number of grid nodes or number of pipelines.

[1]  Jon Barley Thermal Decoupling: An Investigation , 2012 .

[2]  Liu Xiaojing,et al.  Transient flow simulation of municipal gas pipelines and networks using semi implicit finite volume method , 2011 .

[3]  Jan Fredrik Helgaker,et al.  Coupling between Continuity/Momentum and Energy Equation in 1D Gas Flow , 2012 .

[4]  M. Chaczykowski,et al.  Transient flow in natural gas pipeline – The effect of pipeline thermal model , 2010 .

[5]  Bo Yu,et al.  Comparison study on the accuracy and efficiency of the four forms of hydraulic equation of a natural gas pipeline based on linearized solution , 2015 .

[6]  Jason Modisette Pipeline Thermal Models , 2002 .

[7]  J. Shao,et al.  Computational Fluid Dynamics for Engineers: From Panel to Navier-Stokes Methods with Computer Programs , 2005 .

[8]  W. Yow,et al.  Analysis and control of transient flow in natural gas piping systems , 1971 .

[9]  A. Osiadacz,et al.  Simulation of transient gas flows in networks , 1984 .

[10]  K. Hoffmann,et al.  Computational Fluid Dynamics for Engineers , 1989 .

[11]  Mohd Amin Abd Majid,et al.  Simulation model for natural gas transmission pipeline network system , 2011, Simul. Model. Pract. Theory.

[12]  Lei Zhang,et al.  Simulation of the transient flow in a natural gas compression system using a high-order upwind scheme considering the real-gas behaviors , 2016 .

[13]  Ahmed Benzaoui,et al.  An investigation of highly pressurized transient fluid flow in pipelines , 2012 .

[14]  Shankar Narasimhan,et al.  Simulation and State Estimation of Transient Flow in Gas Pipeline Networks Using a Transfer Function Model , 2006 .

[15]  Xia Wu,et al.  Optimal operation of trunk natural gas pipelines via an inertia-adaptive particle swarm optimization algorithm , 2014 .

[16]  Hamid Reza Rahbari,et al.  Unsteady natural gas flow within pipeline network, an analytical approach , 2016 .

[17]  E. Benjamin Wylie,et al.  Network: System Transient Calculations by Implicit Method , 1971 .

[18]  H. C. Ti,et al.  Transient analysis of gas pipeline network , 1998 .

[19]  Michael A. Adewumi,et al.  Simulation of non-isothermal transients in gas/condensate pipelines using TVD scheme , 2000 .

[20]  A. Marjani,et al.  Analytical and numerical modeling of non-isothermal and steady-state gas transportation network and the comparison with the results of artificial neural network(ANN) and fuzzy inference system (FIS) , 2016 .

[21]  H. C. Ti,et al.  Transient analysis of isothermal gas flow in pipeline network , 2000 .

[22]  Tatsuhiko Kiuchi,et al.  An implicit method for transient gas flows in pipe networks , 1994 .

[23]  C F Colebrook,et al.  TURBULENT FLOW IN PIPES, WITH PARTICULAR REFERENCE TO THE TRANSITION REGION BETWEEN THE SMOOTH AND ROUGH PIPE LAWS. , 1939 .

[24]  Mitchell Luskin An Approximation Procedure for Nonsymmetric, Nonlinear Hyperbolic Systems with Integral Boundary Conditions , 1979 .

[25]  Rezvan Alamian,et al.  A state space model for transient flow simulation in natural gas pipelines , 2012 .

[26]  K. S. Chapman,et al.  Nonisothermal Transient Flow in Natural Gas Pipeline , 2008 .

[27]  Maria Fernandino,et al.  Simulation of transients in natural gas pipelines , 2011 .

[28]  G. P. Greyvenstein An implicit method for the analysis of transient flows in pipe networks , 2002 .

[29]  E. Benjamin Wylie,et al.  Unsteady-State Natural-Gas Calculations in Complex Pipe Systems , 1974 .

[30]  Hesam Ahmadian Behrooz,et al.  Modeling and state estimation for gas transmission networks , 2015 .

[31]  Esmaeel Khanmirza,et al.  Transient simulation of gas pipeline networks using intelligent methods , 2016 .

[32]  Gerard P.J. Dijkema,et al.  An integrated transient model for simulating the operation of natural gas transport systems , 2016 .