The new operator homotopy(..) was introduced in Modelica 3.2 to improve the solution of difficult initialization problems. The background and motivation for this approach is discussed and it is demonstrated how to apply it for mechanical, electrical and fluid systems. Furthermore, it is shown at hand of several examples how an inappropriate formulation might lead to ill-posed problems.
Robust Initialization of Differential-Algebraic Equations Using Homotopy
CASELLA, FRANCESCO;
2011-01-01
Abstract
The new operator homotopy(..) was introduced in Modelica 3.2 to improve the solution of difficult initialization problems. The background and motivation for this approach is discussed and it is demonstrated how to apply it for mechanical, electrical and fluid systems. Furthermore, it is shown at hand of several examples how an inappropriate formulation might lead to ill-posed problems.File in questo prodotto:
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2011-SielemannCasellaEtAl-Modelica.pdf
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