Study of Error Propagation in the Transformations of Dynamic Thermal Models of Buildings
Dynamic behaviour of a system may be described by models with different forms: thermal (RC) networks, state-space representations, transfer functions, and ARX models. These models, which describe the same process, are used in the design, simulation, optimal predictive control, parameter identificati...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2017/5636145 |
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| _version_ | 1832551260821127168 |
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| author | Loïc Raillon Christian Ghiaus |
| author_facet | Loïc Raillon Christian Ghiaus |
| author_sort | Loïc Raillon |
| collection | DOAJ |
| description | Dynamic behaviour of a system may be described by models with different forms: thermal (RC) networks, state-space representations, transfer functions, and ARX models. These models, which describe the same process, are used in the design, simulation, optimal predictive control, parameter identification, fault detection and diagnosis, and so on. Since more forms are available, it is interesting to know which one is the most suitable by estimating the sensitivity of the model to transform into a physical model, which is represented by a thermal network. A procedure for the study of error by Monte Carlo simulation and of factor prioritization is exemplified on a simple, but representative, thermal model of a building. The analysis of the propagation of errors and of the influence of the errors on the parameter estimation shows that the transformation from state-space representation to transfer function is more robust than the other way around. Therefore, if only one model is chosen, the state-space representation is preferable. |
| format | Article |
| id | doaj-art-80dad69e0e2a4a0eb2f6562b09ad3a3d |
| institution | Kabale University |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-80dad69e0e2a4a0eb2f6562b09ad3a3d2025-02-03T06:01:53ZengWileyJournal of Control Science and Engineering1687-52491687-52572017-01-01201710.1155/2017/56361455636145Study of Error Propagation in the Transformations of Dynamic Thermal Models of BuildingsLoïc Raillon0Christian Ghiaus1Univ Lyon, CNRS, INSA-Lyon, Université Claude Bernard Lyon 1, CETHIL UMR5008, 69621 Villeurbanne, FranceUniv Lyon, CNRS, INSA-Lyon, Université Claude Bernard Lyon 1, CETHIL UMR5008, 69621 Villeurbanne, FranceDynamic behaviour of a system may be described by models with different forms: thermal (RC) networks, state-space representations, transfer functions, and ARX models. These models, which describe the same process, are used in the design, simulation, optimal predictive control, parameter identification, fault detection and diagnosis, and so on. Since more forms are available, it is interesting to know which one is the most suitable by estimating the sensitivity of the model to transform into a physical model, which is represented by a thermal network. A procedure for the study of error by Monte Carlo simulation and of factor prioritization is exemplified on a simple, but representative, thermal model of a building. The analysis of the propagation of errors and of the influence of the errors on the parameter estimation shows that the transformation from state-space representation to transfer function is more robust than the other way around. Therefore, if only one model is chosen, the state-space representation is preferable.http://dx.doi.org/10.1155/2017/5636145 |
| spellingShingle | Loïc Raillon Christian Ghiaus Study of Error Propagation in the Transformations of Dynamic Thermal Models of Buildings Journal of Control Science and Engineering |
| title | Study of Error Propagation in the Transformations of Dynamic Thermal Models of Buildings |
| title_full | Study of Error Propagation in the Transformations of Dynamic Thermal Models of Buildings |
| title_fullStr | Study of Error Propagation in the Transformations of Dynamic Thermal Models of Buildings |
| title_full_unstemmed | Study of Error Propagation in the Transformations of Dynamic Thermal Models of Buildings |
| title_short | Study of Error Propagation in the Transformations of Dynamic Thermal Models of Buildings |
| title_sort | study of error propagation in the transformations of dynamic thermal models of buildings |
| url | http://dx.doi.org/10.1155/2017/5636145 |
| work_keys_str_mv | AT loicraillon studyoferrorpropagationinthetransformationsofdynamicthermalmodelsofbuildings AT christianghiaus studyoferrorpropagationinthetransformationsofdynamicthermalmodelsofbuildings |