Improving Newton's method for Initialization of Modelica models
Ylikiiskilä, Johan; Åkesson, Johan; Führer, Claus (2011). Improving Newton's method for Initialization of Modelica models . 8th International Modelica Conference 2011. Dresden, Germany
Conference Proceeding/Paper
|
Published
|
English
Authors:
Ylikiiskilä, Johan
;
Åkesson, Johan
;
Führer, Claus
Department:
Department of Automatic Control
Mathematics (Faculty of Engineering)
LCCC
Numerical Analysis
Research Group:
LCCC
Numerical Analysis
Abstract:
Initializing a model written in Modelica translates to finding consistent initial values to the underlying DAE. Adding initial equations and conditions creates a system of non-linear equations that can be solved for the initial configuration. This paper reports an implementation of Newton's method to solve the non-linear initialization system. This implementation also uses a regularization method to deal with singular Jacobians as well as sparse solvers to exploit the sparsity structure of the Jacobian. The implementation is based on the open-source projects JModelica.org and Assimulo, KINSOL from the SUNDIALS suite and SuperLU.
Keywords:
Mathematics ;
Control Engineering
Cite this