Linear System Analysis and Optimal Control of Natural Gas Dynamics in Pipeline Networks

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Publicat a:arXiv.org (Aug 1, 2024), p. n/a
Autor principal: Baker, Luke S
Altres autors: Shivakumar, Sachin, Armbruster, Dieter, Platte, Rodrigo B, Zlotnik, Anatoly
Publicat:
Cornell University Library, arXiv.org
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Accés en línia:Citation/Abstract
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022 |a 2331-8422 
035 |a 2812872182 
045 0 |b d20240801 
100 1 |a Baker, Luke S 
245 1 |a Linear System Analysis and Optimal Control of Natural Gas Dynamics in Pipeline Networks 
260 |b Cornell University Library, arXiv.org  |c Aug 1, 2024 
513 |a Working Paper 
520 3 |a We examine nonlinear and adaptive linear control systems that model compressor-actuated dynamics of natural gas flow in pipeline networks. A model-predictive controller (MPC) is developed for feedback control of compressor actions in which the internal optimization over the local time horizon is constrained by the dynamics of either the nonlinear system or the adaptive linear system. Stability of the local linear system is established and a rigorous bound on the error between the solutions of the nonlinear and linear systems is derived and used to devise situations when the linear MPC may be used instead of the nonlinear MPC without a significant difference between their respective predictions. We use several test networks to compare the performances of various controllers that involve nonlinear and adaptive linear models as well as moving-horizon and single-interval optimization. Our results demonstrate that the proposed moving-horizon MPC is well-equipped to adapt in local time to changes in system parameters and has the ability to reduce total computational costs by orders of magnitude relative to conventional transient optimization methods. 
653 |a Eigenvalues 
653 |a Linear programming 
653 |a Systems analysis 
653 |a Partial differential equations 
653 |a Graph theory 
653 |a Gas pipelines 
653 |a Optimization 
653 |a Error analysis 
653 |a Networks 
653 |a Natural gas 
653 |a Gas dynamics 
653 |a Optimal control 
653 |a Liapunov functions 
653 |a Electric generators 
653 |a Nonlinear dynamics 
653 |a Ordinary differential equations 
653 |a Transfer functions 
653 |a Pipelines 
700 1 |a Shivakumar, Sachin 
700 1 |a Armbruster, Dieter 
700 1 |a Platte, Rodrigo B 
700 1 |a Zlotnik, Anatoly 
773 0 |t arXiv.org  |g (Aug 1, 2024), p. n/a 
786 0 |d ProQuest  |t Engineering Database 
856 4 1 |3 Citation/Abstract  |u https://www.proquest.com/docview/2812872182/abstract/embedded/IZYTEZ3DIR4FRXA2?source=fedsrch 
856 4 0 |3 Full text outside of ProQuest  |u http://arxiv.org/abs/2305.06658