An increasing dependence on natural gas has amplified existing vulnerabilities to the power grid, including disruptions transmission networks from and man-made disasters. To address operational challenges arising these disruptions, we consider problem of estimating steady-state operating capacity a damaged pipeline network while ensuring maximal delivery load. Specifically, formulate mixed-inte...

Abstract Novel methods for contingency analysis of gas transport networks are presented. They motivated by the transition our energy system where hydrogen plays a growing role. The novel based on specific method topological reduction and so-called supernodes. Stationary Euler equations with advanced compressor thermodynamics law allowing compositions up to 100 $$\%$$ <mml:math xmlns:mml="http:/...

A default prior distribution is proposed for the Bayesian analysis of contingency tables. The prior is specified to allow for dependence between levels of the factors. Different dependence structures are considered, including conditional autoregressive and distance correlation structures. To demonstrate the prior distribution, a dataset is considered which involves estimating the number of inje...