Grey Box Modelling of Supermarket Refrigeration Room

Kenneth Leerbeck, Peder Bacher, Christian Heerup

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Aiming to enable robust large-scale fault diagnostics and optimized control for supermarket refrigeration systems, a data-driven grey box model for cooling rooms and cabinets was developed. The analysis scopes a single cold room in a supermarket in Otterup (Denmark) and was done using oneminute of sampling data. A resistance-capacitor diagram of the room was analyzed to derive three state-space equations for the model – the following were the states: the room temperature, the temperature of the goods and the refrigerant mass in the evaporator. The model parameters were then estimated using a Kalman filter and the maximum likelihood method. In the present paper, the resulting model is demonstrated through a fivehour simulation and the importance of ongoing re-estimation of parameters is highlighted, as the dynamics of the room constantly change, as goods are added and removed. Furthermore, the physical meaning of the parameters is discussed and a case where the parameter estimates became physically meaningless is highlighted – suggesting that robustness was an issue and further studies with simpler models and other solver algorithms are necessary for large-scale implementation.
Original languageEnglish
Title of host publicationProceedings of the 2021 International Conference on Electrical, Computer and Energy Technologies
Number of pages6
PublisherEuropean Union
Publication date2022
ISBN (Print)978-1-6654-4231-2
Publication statusPublished - 2022
Event2021 International Conference on Electrical, Computer and Energy Technologies - Taj Cape Town, Cape Town, South Africa
Duration: 9 Dec 202110 Dec 2021


Conference2021 International Conference on Electrical, Computer and Energy Technologies
LocationTaj Cape Town
Country/TerritorySouth Africa
CityCape Town
Internet address


  • Grey Box Modelling
  • CO2 Refrigeration Systems
  • System Identification


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