Model-order reduction for differential-algebraic equation systems with higher index |
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| Affiliation: | 1. College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China;2. School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, China;1. Department of Instrumentation and Control Engineering, St. Joseph''s College of Engineering, Chennai, India;2. Sri Krishna College of Engineering and Technology, Coimbatore, Tamil Nadu, India;1. Department of Computer Science and Numeric Analysis, University of Córdoba, Campus de Rabanales, 14071 Córdoba, Spain;2. Department of Computer Science and Automatic Control, UNED, Juan del Rosal 16, 28040 Madrid, Spain;1. Dipartimento di Matematica, University of Pisa, Italy;2. Scuola Normale Superiore, Pisa, Italy;3. Department of Computer Science, KU Leuven, Belgium;1. Japan Science and Technology Agency, Japan;2. Tokyo Institute of Technology, 2-12-1-W8-1 ōokayama Meguro-ku, Tokyo, Japan;3. Nippon Steel & Sumitomo Metal Corporation, 2-6-1 Marunouchi Chiyoda-ku, Tokyo, Japan;4. The University of Tokyo, 4-6-1 Komaba Meguro-ku, Tokyo, Japan |
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| Abstract: | In this paper, a new model-order reduction (MOR) approach is presented for reducing large-scale differential-algebraic equation (DAE) systems with higher index. This approach is based upon the balanced truncation, single-point, and multi-point MOR methods. We decompose the DAE system into an ordinary differential equation (ODE) subsystem and a DAE subsystem. The DAE subsystem has the same index as the original DAE system. Then, the balanced truncation method is applied to the ODE subsystem. Both single-point and multi-point methods are used to reduce the DAE subsystem. In generally, the multi-point method can perform better than the single-point method across a wide-range of frequencies. Some numerical examples demonstrate the effectiveness of our approach. |
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| Keywords: | Differential-algebraic equation system Model-order reduction Balanced truncation Single-point Multi-point |
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