Dynamic Control for Gas Pipeline Systems

Osiadacz, Andrzej J.; Chaczykowski, Maciej

doi:10.1515/amsc-2016-0006

Cited by 7 publications

(4 citation statements)

References 7 publications

(5 reference statements)

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“…This work is a step towards developing the theory and computation of dynamic price formation for intra-day flows. Extension to multi-period economic optimization that incorporates transient hydraulic models [32], [23], sensitivity analysis for larger case studies, and global optimization by adaptive partitioning mixedinteger relaxations [33] are promising future directions.…”

Section: Discussionmentioning

confidence: 99%

Locational Marginal Pricing of Natural Gas subject to Engineering Constraints

Rudkevich

Zlotnik

2017

Proceedings of the 50th Hawaii International Conference on System Sciences (2017)

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We derive a price formation mechanism to maximize social welfare for a pipeline network that delivers natural gas from suppliers to consumers. The system is modeled as a metric graph subject to physical balance laws for steadystate hydraulic flow on edges and mass balance at nodes. The pricing mechanism incorporates engineering constraints on local pressures and energy applied by gas compressors. Optimality conditions yield expressions for locational marginal prices for gas (gLMPs) and a decomposition of gLMPs into components corresponding to energy, compression, and two types of congestion. We demonstrate that price and pressure differentials between nodes have the opposite sign, so that price cannot decline in the direction of flow, and prove that the pricing mechanism is revenue adequate. We also present computational examples of congestion pricing for a small test network and a large-scale case study.

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Section: Discussionmentioning

confidence: 99%

Locational Marginal Pricing of Natural Gas subject to Engineering Constraints

Rudkevich

Zlotnik

2017

Proceedings of the 50th Hawaii International Conference on System Sciences (2017)

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“…Problems of optimal dynamic control for gas pipeline systems are studied in Osiadacz and Chaczykowski (2016) with the linear heat equation as a model for the system dynamics. In Krug et al (2020), the time-domain decomposition for a general class of optimal control problems governed by semilinear hyperbolic systems is presented which could also be applied to gas network problems.…”

Section: Comparison Of the Solutions Of The Pde With The Solutions For Discretized Modelsmentioning

confidence: 99%

Transient gas pipeline flow: analytical examples, numerical simulation and a comparison to the quasi-static approach

2021

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The operation of gas pipeline flow with high pressure and small Mach numbers allows to model the flow by a semilinear hyperbolic system of partial differential equations. In this paper we present a number of transient and stationary analytical solutions of this model. They are used to discuss and clarify why a PDE model is necessary to handle certain dynamic situations in the operation of gas transportation networks. We show that adequate numerical discretizations can capture the dynamical behavior sufficiently accurate. We also present examples that show that in certain cases an optimization approach that is based on multi-period optimization of steady states does not lead to approximations that converge to the optimal state.

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“…Modern control systems provide as full control of the reduction/measurement stations [14]. The use of data transmission and visual monitoring systems as well as integrated electronic managing system of the station, digital intelligent control units allow for optimizing operation of the station, and so adjusting the station to the expected changes of gas reception conditions.…”

Section: Construction and Exploitation Of Natural Gas Stationsmentioning

confidence: 99%