Based on the derivation of frequency-domain transfer function, this work obtains natural gas pipelines lumped model directly reflecting the constraints of the inlet and outlet variables. This dynamic model transforms the original partial differential equations into linear lumped constraints of gas transport process and the nonlinear resistance characteristics of pipeline, which can be efficiently solved. Comparing with finite difference method, simulation on single tube and pipeline network indicates that the modeling and solution method proposed in this work has advantages in accuracy and calculation efficiency. On the basis of this method and the topology change caused by leakage, the location optimization calculation can accurately locate the leakage wherever the it occurs in single pipeline or pipeline network with illustrative cases.
Keywords natural gas pipelines, Frequency domain, transfer function, lumped model, leakage location