Detecting and Correcting the Index of DAE by the Combinatorial Relaxation Algorithm
- Resource Type
- Conference
- Authors
- Yan, Yongxin; Zhang, Xiaolei; Wu, Xuesong; Cao, Jianwen
- Source
- 2011 10th International Symposium on Distributed Computing and Applications to Business, Engineering and Science Distributed Computing and Applications to Business, Engineering and Science (DCABES), 2011 Tenth International Symposium on. :391-395 Oct, 2011
- Subject
- Communication, Networking and Broadcast Technologies
Computing and Processing
General Topics for Engineers
Indexes
Mathematical model
Object oriented modeling
Computational modeling
Equations
Adaptation models
Algorithm design and analysis
Modelica
differential-algebraic equation
index reduction
combinatorial relaxation algorithm
- Language
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. Finally, the result of an example shows the combinatorial relaxation algorithm is an effective way to improve the stability of the index reduction algorithms based on the structural index of DAE.