Grey box modeling of supermarket refrigeration cabinets
Aiming to enable robust large-scale fault diagnostics and optimized control for supermarket refrigeration systems, a data-driven grey box model for an evaporator and its surrounding cooling cabinet (or room) is presented. It is a non-linear model with two states: the cabinet temperature and the refr...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-01-01
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| Series: | Energy and AI |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S266654682200057X |
| _version_ | 1797952786166448128 |
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| author | K. Leerbeck P. Bacher C. Heerup H. Madsen |
| author_facet | K. Leerbeck P. Bacher C. Heerup H. Madsen |
| author_sort | K. Leerbeck |
| collection | DOAJ |
| description | Aiming to enable robust large-scale fault diagnostics and optimized control for supermarket refrigeration systems, a data-driven grey box model for an evaporator and its surrounding cooling cabinet (or room) is presented. It is a non-linear model with two states: the cabinet temperature and the refrigerant mass in the evaporator. To demonstrate its applicability, data with one-minute sampling resolution from ten evaporators in a supermarket in Otterup (Denmark) was used. The model parameters were estimated using a Kalman filter and the maximum likelihood method. Since the dynamical properties of the cabinets constantly change as goods are added and removed, the parameters were re-estimated for each night, over a period of approximately 2.5 years. The model is validated through a statistical analysis of the residuals and the importance of the ongoing re-estimation of parameters is highlighted. Furthermore, the physical meaning of the estimated parameters is discussed and potential applications for characterization and classification of cabinets are demonstrated, by showing how they can be differentiated as either open- or closed cabinets or rooms, using only the estimated heat transfer coefficients and heat capacities. For a selected case it is shown that the estimated parameter values are close to physics derived values, and that the accuracy measured by the standard errors of the estimates is approximately ±10% relative to the estimated values. The analysis demonstrates that the model is robust, accurate and reliable in terms of estimating physically meaningful parameters and it is therefore appropriate for large-scale implementation. |
| first_indexed | 2024-04-10T22:51:35Z |
| format | Article |
| id | doaj.art-6dccfee828684a0194d85db56e984cc9 |
| institution | Directory Open Access Journal |
| issn | 2666-5468 |
| language | English |
| last_indexed | 2024-04-10T22:51:35Z |
| publishDate | 2023-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Energy and AI |
| spelling | doaj.art-6dccfee828684a0194d85db56e984cc92023-01-15T04:22:43ZengElsevierEnergy and AI2666-54682023-01-0111100211Grey box modeling of supermarket refrigeration cabinetsK. Leerbeck0P. Bacher1C. Heerup2H. Madsen3DTU Compute, Bygning 324, 2800 Kongens Lyngby, Denmark; Corresponding author.DTU Compute, Bygning 324, 2800 Kongens Lyngby, DenmarkGregersensvej 2, 2630 Taastrup, DenmarkDTU Compute, Bygning 324, 2800 Kongens Lyngby, DenmarkAiming to enable robust large-scale fault diagnostics and optimized control for supermarket refrigeration systems, a data-driven grey box model for an evaporator and its surrounding cooling cabinet (or room) is presented. It is a non-linear model with two states: the cabinet temperature and the refrigerant mass in the evaporator. To demonstrate its applicability, data with one-minute sampling resolution from ten evaporators in a supermarket in Otterup (Denmark) was used. The model parameters were estimated using a Kalman filter and the maximum likelihood method. Since the dynamical properties of the cabinets constantly change as goods are added and removed, the parameters were re-estimated for each night, over a period of approximately 2.5 years. The model is validated through a statistical analysis of the residuals and the importance of the ongoing re-estimation of parameters is highlighted. Furthermore, the physical meaning of the estimated parameters is discussed and potential applications for characterization and classification of cabinets are demonstrated, by showing how they can be differentiated as either open- or closed cabinets or rooms, using only the estimated heat transfer coefficients and heat capacities. For a selected case it is shown that the estimated parameter values are close to physics derived values, and that the accuracy measured by the standard errors of the estimates is approximately ±10% relative to the estimated values. The analysis demonstrates that the model is robust, accurate and reliable in terms of estimating physically meaningful parameters and it is therefore appropriate for large-scale implementation.http://www.sciencedirect.com/science/article/pii/S266654682200057XGrey box modelingCO2 refrigeration systemsRefrigeration cabinets and evaporatorsSystem identificationClassification |
| spellingShingle | K. Leerbeck P. Bacher C. Heerup H. Madsen Grey box modeling of supermarket refrigeration cabinets Energy and AI Grey box modeling CO2 refrigeration systems Refrigeration cabinets and evaporators System identification Classification |
| title | Grey box modeling of supermarket refrigeration cabinets |
| title_full | Grey box modeling of supermarket refrigeration cabinets |
| title_fullStr | Grey box modeling of supermarket refrigeration cabinets |
| title_full_unstemmed | Grey box modeling of supermarket refrigeration cabinets |
| title_short | Grey box modeling of supermarket refrigeration cabinets |
| title_sort | grey box modeling of supermarket refrigeration cabinets |
| topic | Grey box modeling CO2 refrigeration systems Refrigeration cabinets and evaporators System identification Classification |
| url | http://www.sciencedirect.com/science/article/pii/S266654682200057X |
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