Impedance matrix method for transient analysis of complicated pipe networks

Kim, Sangil

doi:10.1080/00221686.2007.9521819

Cited by 36 publications

(16 citation statements)

References 20 publications

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“…Advantage of this or similar equations are to be explained in further discussion. Previous calculation of the gas network of Kragujevac from 1994. is very similar with calculation of water distribution networks (Sorbu and Borza, 1997;Samani and Naeeni, 1996;Kim, 2007), and according to this fact some deviations are occurred in real conditions apropos calculated results. This paper is referring to work of Hardy Cross (1936) in the field of analysis of flows in networks, with improvement of method by Epp and Fowler (1970) which is also based on in loop-oriented equations (modified Hardy Cross method).…”

Section: Introductionsupporting

confidence: 66%

Influence of Friction Factor and Flow Equation on Calculation of Gas-Distribution Pipeline Networks

Brkić¹

2018

Preprint

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Abstract Here is shown method for the hydraulic solution of a looped gas-pipeline networks. Calculation of presented network is done according to principles of Hardy Cross method. The optimization was carried out by iteration of the pipes diameters, node consumptions are known and flow velocities through pipes have to stand below certain values. Accent is on determination of appropriate friction factor, and on selection of representative equation for natural gas flow under presented conditions in the network. Inappropriate usage of friction factor, equally as inappropriate usage of gas flow equation can lead to inaccurate final results. Here is shown new facts in comparison to previous calculation of gas distribution network in Kragujevac, Serbia which is done in 1994. After the implementation, measurements in situ have performed, and real measured values deviate from calculated. Causes for these errors are investigated, and improved and more accurate procedure is shown.

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Section: Introductionsupporting

confidence: 66%

Influence of Friction Factor and Flow Equation on Calculation of Gas-Distribution Pipeline Networks

Brkić¹

2018

Preprint

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“…Frequency-domain analysis is used in applications such as resonance analysis (Chaudhry 1987;Wylie and Streeter 1993), leakage detection (Ferrante and Brunone 2003;Lee et al 2005aLee et al , 2005bLee et al , 2006Covas et al 2006;Kim 2005Kim , 2007Kim , 2008 and blockage detection (Mohapatra et al 2006a(Mohapatra et al , 2006bSattar et al 2008).…”

Section: Introductionmentioning

confidence: 99%

“…Kim (2007Kim ( , 2008) presented a matrix-based implementation of the impedance method for a simple network, although the method is closely related to the transfer matrix method. These applications, as described in the previous paragraph, have been limited to single pipelines, pipelines with single branches and single-loop networks.…”

Section: Introductionmentioning

confidence: 99%

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Head- and Flow-Based Formulations for Frequency Domain Analysis of Fluid Transients in Arbitrary Pipe Networks

et al. 2011

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Applications of frequency-domain analysis in pipelines and pipe networks include resonance analysis, time-domain simulation and fault detection. Current frequency-domain analysis methods are restricted to series pipelines, single-branching pipelines and single-loop networks and are not suited to complex networks. This paper presents a number of formulations for the frequency-domain solution in pipe networks of arbitrary topology and size. The formulations focus on the topology of arbitrary networks and do not consider any complex network devices or boundary conditions, other than head and flow boundaries. The frequency-domain equations are presented for node elements and pipe elements, which correspond to the continuity of flow at a node and the unsteady flow in a pipe, respectively. Additionally, a pipe-node-pipe and reservoir-pipe pair set of equations are derived. A matrix-based approach is used to display the solution to entire networks in a systematic and powerful way. Three different formulations are derived based on the unknown variables of interest that are to be solved for, being the head-formulation, flow-formulation and the head-flow-formulation. These hold significant analogies to different steady-state network solutions. The frequencydomain models are tested against the method of characteristics (a commonly used timedomain model), with good result. The computational efficiency of each formulation is discussed with the most efficient formulation being the head-formulation.

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“…Ogawa [1980]; Margolis and Yang [1985]; Boucher and Kitsios [1986]; John [2004]; Kim [2007Kim [ , 2008a). However, these methods were designed simply for networks with junctions and reservoir node types only, with the exception of Kim [2007Kim [ , 2008a who included an emitter elements and some surge protection devices in his formulation.…”

Section: Background Modelling the Transient Behaviour Of Pipe Networkmentioning

confidence: 99%

Frequency-Domain Modeling of Transients in Pipe Networks with Compound Nodes Using a Laplace-Domain Admittance Matrix

et al. 2010

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Frequency-domain modeling of transients in pipe networks with compound nodes using a Laplacedomain admittance matrix Journal of Hydraulic Engineering, 2010; 136(10) AbstractAn alternative to modeling the transient behavior of pipeline systems in the time-domain is to model these systems in the frequency-domain using Laplace transform techniques. A limitation with traditional frequencydomain pipeline models is that they are only able to deal with systems of a limited class of configuration. Despite the development of a number of recent Laplace-domain network models for arbitrarily configured systems, the current formulations are designed for systems comprised only of pipes and simple node types such as reservoirs and junctions. This paper presents a significant generalization of existing network models by proposing a framework that allows not only complete flexibility with regard to the topological structure of a network, but also, encompasses nodes with dynamic components of a more general class (such as air vessels, valves and capacitance elements). This generalization is achieved through a novel decomposition of the nodal dynamics for inclusion into a Laplace-domain network admittance matrix. A symbolic example is given demonstrating the development of the network admittance matrix and numerical examples are given comparing the proposed method to the method of characteristics for 11-pipe and 51-pipe networks.

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Impedance matrix method for transient analysis of complicated pipe networks

Cited by 36 publications

References 20 publications

Influence of Friction Factor and Flow Equation on Calculation of Gas-Distribution Pipeline Networks

Influence of Friction Factor and Flow Equation on Calculation of Gas-Distribution Pipeline Networks

Head- and Flow-Based Formulations for Frequency Domain Analysis of Fluid Transients in Arbitrary Pipe Networks

Frequency-Domain Modeling of Transients in Pipe Networks with Compound Nodes Using a Laplace-Domain Admittance Matrix

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