Dynamic linepack depletion models for natural gas pipeline networks
نویسندگان
چکیده
Given the critical role played by natural gas in providing electricity, heat, and other essential services, better models are needed to understand dynamics of networks during extreme events. This paper aims at establishing appropriate fast simulation capture slow linepack depletion for ideal isothermal pipeline networks. Instead solving partial differential equations (PDE) on a large scale, three alternative implicit ordinary equation (ODE) techniques derived discussed. The first one is commonly used literature with slack node assumption. We show that system associated this model degenerate when flux injections controlled (i.e. specified) all nodes. To recover regularity under such condition, two novel ODE proposed different boundary conditions. They easy derive efficient simulate standard solvers. More importantly, they present useful frameworks analyzing how respond system-wide mass imbalances. These offer alternatives simulating based sources loads chosen be modeled, proven regular (non-degenerate) tree-structured tested 20-node Belgium network. results conventional assumption cannot effectively long term imbalance, while can characterize network behavior until completely depleted.
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ژورنال
عنوان ژورنال: Applied Mathematical Modelling
سال: 2021
ISSN: ['1872-8480', '0307-904X']
DOI: https://doi.org/10.1016/j.apm.2020.12.022