Mixed Balanced Truncation for Reducing the Complexity of Large-Scale Electrical and Electronic System Simulations
This study focuses on Model Order Reduction (MOR) to optimize such systems' simulation and analysis capabilities in the context of increasingly complex electrical and electronic systems, coupled with computational and processing resource limitations. This paper proposes the Mixed Balanced T...
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| Format: | Article |
| Language: | English |
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Universitas Indonesia
2025-01-01
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| Series: | International Journal of Technology |
| Subjects: | |
| Online Access: | https://ijtech.eng.ui.ac.id/article/view/7180 |
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| author | Huy-Du Dao Thanh-Tung Nguyen Ngoc-Kien Vu Van-Ta Hoang Hong-Quang Nguyen |
| author_facet | Huy-Du Dao Thanh-Tung Nguyen Ngoc-Kien Vu Van-Ta Hoang Hong-Quang Nguyen |
| author_sort | Huy-Du Dao |
| collection | DOAJ |
| description | This study focuses on Model Order Reduction (MOR)
to optimize such systems' simulation and analysis capabilities in the context
of increasingly complex electrical and electronic systems, coupled with
computational and processing resource limitations. This paper proposes the
Mixed Balanced Truncation (MBT) algorithm, which combines the strengths of
Balanced Truncation (BT) and Positive-Real Balanced Truncation (PRBT) while
addressing their respective limitations. The MBT algorithm is developed based
on Lyapunov and Riccati equations, ensuring the stability and passivity of the
reduced-order system. The proposed method is validated through large-scale
electrical circuit systems, using RLC network models as illustrative examples.
The results demonstrate that MBT achieves effective order reduction with
minimal error while reducing computational costs. The main contributions of this
work in developing the new reduction algorithm include the introduction of a
novel definition of mixed balanced systems and theoretical advancements through
the development of theorems, lemmas, and corollaries accompanied by rigorous
mathematical proofs. This study makes significant theoretical contributions and
provides practical solutions for designing, modeling, and reducing the
complexity of electrical and electronic systems, particularly passive linear
systems in general. |
| format | Article |
| id | doaj-art-1f526882bf2245cd95e26b3302a501e5 |
| institution | Kabale University |
| issn | 2086-9614 2087-2100 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Universitas Indonesia |
| record_format | Article |
| series | International Journal of Technology |
| spelling | doaj-art-1f526882bf2245cd95e26b3302a501e52025-01-31T14:13:04ZengUniversitas IndonesiaInternational Journal of Technology2086-96142087-21002025-01-0116116017510.14716/ijtech.v16i1.71807180Mixed Balanced Truncation for Reducing the Complexity of Large-Scale Electrical and Electronic System SimulationsHuy-Du Dao0Thanh-Tung Nguyen1Ngoc-Kien Vu2Van-Ta Hoang3Hong-Quang Nguyen4Faculty of Electronics, Thai Nguyen University of Technology, Thai Nguyen 251750, VietnamFaculty of Engineering and Technology, Thai Nguyen University of Information and Communication Technology, Thai Nguyen 250000, VietnamResearch Development Institute of Advanced Industrial Technology (RIAT), Thai Nguyen University of Technology, Thai Nguyen 251750, VietnamCollege of Technology and Trade, Thai Nguyen 250000, VietnamFaculty of Mechanical, Electrical, Electronics Technology, Thai Nguyen University of Technology, Thai Nguyen 251750, VietnamThis study focuses on Model Order Reduction (MOR) to optimize such systems' simulation and analysis capabilities in the context of increasingly complex electrical and electronic systems, coupled with computational and processing resource limitations. This paper proposes the Mixed Balanced Truncation (MBT) algorithm, which combines the strengths of Balanced Truncation (BT) and Positive-Real Balanced Truncation (PRBT) while addressing their respective limitations. The MBT algorithm is developed based on Lyapunov and Riccati equations, ensuring the stability and passivity of the reduced-order system. The proposed method is validated through large-scale electrical circuit systems, using RLC network models as illustrative examples. The results demonstrate that MBT achieves effective order reduction with minimal error while reducing computational costs. The main contributions of this work in developing the new reduction algorithm include the introduction of a novel definition of mixed balanced systems and theoretical advancements through the development of theorems, lemmas, and corollaries accompanied by rigorous mathematical proofs. This study makes significant theoretical contributions and provides practical solutions for designing, modeling, and reducing the complexity of electrical and electronic systems, particularly passive linear systems in general.https://ijtech.eng.ui.ac.id/article/view/7180computational efficiencydescriptor systemselectrical circuit simulationmixed balanced truncationmodel order reduction |
| spellingShingle | Huy-Du Dao Thanh-Tung Nguyen Ngoc-Kien Vu Van-Ta Hoang Hong-Quang Nguyen Mixed Balanced Truncation for Reducing the Complexity of Large-Scale Electrical and Electronic System Simulations International Journal of Technology computational efficiency descriptor systems electrical circuit simulation mixed balanced truncation model order reduction |
| title | Mixed Balanced Truncation for Reducing the Complexity of Large-Scale Electrical and Electronic System Simulations |
| title_full | Mixed Balanced Truncation for Reducing the Complexity of Large-Scale Electrical and Electronic System Simulations |
| title_fullStr | Mixed Balanced Truncation for Reducing the Complexity of Large-Scale Electrical and Electronic System Simulations |
| title_full_unstemmed | Mixed Balanced Truncation for Reducing the Complexity of Large-Scale Electrical and Electronic System Simulations |
| title_short | Mixed Balanced Truncation for Reducing the Complexity of Large-Scale Electrical and Electronic System Simulations |
| title_sort | mixed balanced truncation for reducing the complexity of large scale electrical and electronic system simulations |
| topic | computational efficiency descriptor systems electrical circuit simulation mixed balanced truncation model order reduction |
| url | https://ijtech.eng.ui.ac.id/article/view/7180 |
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