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Improving Newton's method for Initialization of Modelica models

Publiceringsår: 2011
Språk: Engelska
Dokumenttyp: Konferensbidrag


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 and Assimulo, KINSOL from the SUNDIALS suite and SuperLU.


  • Mathematics
  • Control Engineering


8th International Modelica Conference 2011
  • LCCC-lup-obsolete
  • Numerical Analysis

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