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Multi-domain unified modeling is an important development direction in the study of complex system. Modelica is a popular multi-modeling language. It describes complex systems by mathematical equations, solves the high-index of Differential algebraic equations (DAE) generated by modeling. But in this process, the index reduction based on structural index, which is a key step of solving high-index...
This paper proposes an improved KM algorithm to computing the structural index of linear time-invariant Differential Algebraic Equation (DAE) systems. The problem is of practical significance in index reduction based on structural index of DAE system and combinatorial relaxation theory. This improved KM algorithm combines greedy idea and classical KM algorithm. It first computes matches as much as...
Modeling of complex physical systems with Modelica usually leads to the high-index differential algebraic equation system (DAE), index reduction is an important part of solving the high-index DAE. The structure index reduction algorithm is one of the popular methods, but in special cases, it fails. Combinatorial relaxation algorithm can detect and correct the breakdown situation. And the maximum weight...
The mathematical modeling and simulation based on the Modelica language usually gets a high-index differential-algebraic equation (DAE) system. The structural index reduction algorithms can serve as a fast method to reduce such high-indexed issues. In order to solve the failure of the structural index reduction algorithms in some cases, the combinatorial relaxation algorithm is analyzed and studied...
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