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Improving Newton's method for Initialization of Modelica models

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Author

Summary, in 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.

Publishing year

2011

Language

English

Document type

Conference paper

Topic

  • Mathematics
  • Control Engineering

Conference name

8th International Modelica Conference 2011

Conference date

2011-03-20

Conference place

Dresden, Germany

Status

Published

Research group

  • LCCC
  • Numerical Analysis