Probability of Feasible Loads in Passive Gas Networks with up to Three Cycles

  • Gas networks are of growing importance for the economy and offer interesting mathematical problems at the same time. The classical linear network flow allows for approximate models that more and more have come to their limits. This has raised interest in nonlinear but, for simplicity, still steady-state models. The present paper aims at mobilizing techniques from symbolic computation and reparametrization of multivariate integrals to enable validation of stochastic nominations following Gaussian distributions in passive gas networks with more than one cycle.

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Author:Claudia Gotzes, Sabrina Nitsche, Rüdiger Schultz
Document Type:Preprint
Date of Publication (online):2017/03/17
Date of first Publication:2017/03/17
Release Date:2017/03/17
Tag:Mathematical Gas Network Models, Stochastic Nomination Validation, Parametric Models
Institutes:Universität Duisburg-Essen