6458
2017
eng
reportzib
0
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2017-07-17
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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).
1438-0064
urn:nbn:de:0297-zib-64582
10.1007/978-3-319-89920-6_83
published at Operations Research Proceedings 2017
Tom Streubel
Tom Streubel
Christian Strohm
Philipp Trunschke
Caren Tischendorf
ZIB-Report
17-41
eng
uncontrolled
compressed sparse row format
eng
uncontrolled
algorithmic differentiation
eng
uncontrolled
abs-normal form
eng
uncontrolled
piecewise linear tangent approximation
eng
uncontrolled
piecewise smooth
Mathematical Optimization
MODAL-GasLab
Streubel, Tom
MODAL-Gesamt
Energy Network Optimization
https://opus4.kobv.de/opus4-zib/files/6458/main.pdf