Giesen, Julian Johannes Gerardus Bernardus (2022) Creating a reduced order digital twin through balanced truncation. Integration Project, Industrial Engineering and Management.
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Abstract
A one-one virtual representation of a physical system that is fed with past or real-time data. Digital Twins are used to provide real-time monitoring, predictive maintenance, and many more applications that are still being researched. The dynamics of the physical system are described by the differential equations put in matrix form that is called the state-space model. Large-scale systems are computationally expensive, therefore model order reduction is performed. The number of states in the model is reduced which enables faster simulations and reduces the complexity of the system. This should be done in such a way that it still approximates the original model accurately enough. To perform model reduction, two balanced truncation methods are considered in the scope of this research: generalized balancing and extended balancing. This research provides an comparative overview of the two balanced truncation methods and uses them to perform model reduction on a mass-spring-damper system with the aim of structure preservation. A literature study is performed to create the theoretical framework that provides the re- quirements for the MATLAB model. This model is used to compare the outputs of the two balancing methods in the time and frequency domain and to see if structure preservation is possible for the mass-spring-damper system. Generalized and extended balancing proved to be very
| Item Type: | Thesis (Integration Project) |
|---|---|
| Supervisor name: | Scherpen, J.M.A. and Taheri, M. |
| Degree programme: | Industrial Engineering and Management |
| Thesis type: | Integration Project |
| Language: | English |
| Date Deposited: | 12 Jul 2022 12:26 |
| Last Modified: | 12 Jul 2022 12:26 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/27782 |
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