Title Improving Newton's method for Initialization of Modelica models
Authors Johan Ylikiiskilä, Johan Åkesson, Claus Führer
Alternative Location http://www.control.lth.se/d...
Year 2011
Document type Conference paper
Conference name 8th International Modelica Conference
Conference Date 2011-03-20
Conference Location Dresden, Germany
Status Published
Quality controlled Yes
Language eng
Abstract English 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.

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