2018
DOI: 10.3390/en11081971
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A New Lumped Parameter Model for Natural Gas Pipelines in State Space

Abstract: Many algorithms and numerical methods, such as implicit and explicit finite differences and the method of characteristics, have been applied for transient flow in gas pipelines. From a computational point of view, the state space model is an effective method for solving complex transient problems in pipelines. However, the impulse output of the existing models is not the actual behavior of the pipeline. In this paper, a new lumped parameter model is proposed to describe the inertial nature of pipelines with in… Show more

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Cited by 22 publications
(14 citation statements)
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“…The controller would then use the machine learning based algorithms trend to watch the changes in the segment, potentially recognizing a rupture, information leak and intrusion before all the logical conditions in the evaluations have been met. This is useful when there is a long distance between the upstream and downstream input pipeline PSI for processing [12][13][14][15].…”
Section: Discussionmentioning
confidence: 99%
“…The controller would then use the machine learning based algorithms trend to watch the changes in the segment, potentially recognizing a rupture, information leak and intrusion before all the logical conditions in the evaluations have been met. This is useful when there is a long distance between the upstream and downstream input pipeline PSI for processing [12][13][14][15].…”
Section: Discussionmentioning
confidence: 99%
“…For many tasks of analysis, optimization of gas flows, and their control, this is quite acceptable. Such models for a linear section (simple gas pipeline [1]) can be described by time-dependent algebraic equations [1,2], linear [14][15][16] or nonlinear [9] ordinary differential equations or their systems, transfer functions [6,10,17], systems of algebraic linear equations [8] in cases of discrete-time models.…”
Section: A Brief Overview Of Lumped Parameter Modelsmentioning
confidence: 99%
“…u = −Ky. (14) To verify the effectiveness of the algorithm and to eliminate the contingency, six initial states were simulated. The outlet pressure of the compressors and the terminal flow rate were considered as the disturbance of the system.…”
Section: Case Studies Of the Cascade Control Of Natural Gas Pipelinesmentioning
confidence: 99%
“…Following the derivation process in [14], the state space models (Equation 5) is ready to be obtained, where the gas pressure at inlet (P in ) and the mass flow rate at the outlet (M out ) are the input vectors, and the pressure at the outlet (P out ) and the gas mass flow rate at the inlet (M in ) are the output vectors.ẋ = Ax + Bu y = Cx + Du (5) where…”
mentioning
confidence: 99%