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

Tom Streubel (), Christian Strohm, Philipp Trunschke and Caren Tischendorf
Additional contact information
Tom Streubel: Zuse Institute Berlin
Christian Strohm: Humboldt University of Berlin
Philipp Trunschke: Zuse Institute Berlin
Caren Tischendorf: Humboldt University of Berlin

A chapter in Operations Research Proceedings 2017, 2018, pp 627-632 from Springer

Abstract: Abstract 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).

Keywords: Compressed sparse row format; Algorithmic differentiation; abs-normal form; Piecewise linear tangent approximation; Piecewise smooth (search for similar items in EconPapers)
Date: 2018
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:oprchp:978-3-319-89920-6_83

Ordering information: This item can be ordered from
http://www.springer.com/9783319899206

DOI: 10.1007/978-3-319-89920-6_83

Access Statistics for this chapter

More chapters in Operations Research Proceedings from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().