Generic Construction and Efficient Evaluation of Network DAEs and Their Derivatives in the Context of Gas Networks

  • We present a concept that provides an efficient description of differential-algebraic equations (DAEs) describing flow networks which provides the DAE function f and their Jacobians in an automatized way such that the sparsity pattern of the Jacobians is determined before their evaluation and previously determined values of f can be exploited. The user only has to provide the network topology and local function descriptions for each network element. The approach uses automatic differentiation (AD) and is adapted to switching element functions via the abs-normal-form (ANF).

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Metadaten
Author:Tom StreubelORCiD, Christian StrohmORCiD, Philipp Trunschke, Caren Tischendorf
Document Type:Article
Parent Title (English):Operations Research Proceedings 2017
First Page:627
Last Page:632
Publisher:Springer International Publishing
Tag:abs-normal form; algorithmic differentiation; compressed sparse row format; piecewise linear tangent approximation; piecewise smooth
Date of first Publication:2018/05/26
Pagenumber:5
ISBN:978-3-319-89920-6
Preprint:urn:nbn:de:0297-zib-64582
DOI:https://doi.org/10.1007/978-3-319-89920-6_83