{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:10:58Z","timestamp":1760242258629,"version":"build-2065373602"},"reference-count":39,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2017,2,15]],"date-time":"2017-02-15T00:00:00Z","timestamp":1487116800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>In order to investigate options for improving the maintenance protocol of commercial refrigeration plants, two thermoeconomic diagnosis methods were evaluated on a state-of-the-art refrigeration plant. A common relative indicator was proposed for the two methods in order to directly compare the quality of malfunction identification. Both methods were applicable to locate and categorise the malfunctions when using steady state data without measurement uncertainties. By introduction of measurement uncertainty, the categorisation of malfunctions became increasingly difficult, though depending on the magnitude of the uncertainties. Two different uncertainty scenarios were evaluated, as the use of repeated measurements yields a lower magnitude of uncertainty. The two methods show similar performance in the presented study for both of the considered measurement uncertainty scenarios. However, only in the low measurement uncertainty scenario, both methods are applicable to locate the causes of the malfunctions. For both the scenarios an outlier limit was found, which determines if it was possible to reject a high relative indicator based on measurement uncertainty. For high uncertainties, the threshold value of the relative indicator was 35, whereas for low uncertainties one of the methods resulted in a threshold at 8. Additionally, the contribution of different measuring instruments to the relative indicator in two central components was analysed. It shows that the contribution was component dependent.<\/jats:p>","DOI":"10.3390\/e19020069","type":"journal-article","created":{"date-parts":[[2017,2,15]],"date-time":"2017-02-15T10:09:07Z","timestamp":1487153347000},"page":"69","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Two Thermoeconomic Diagnosis Methods Applied to Representative Operating Data of a Commercial Transcritical Refrigeration Plant"],"prefix":"10.3390","volume":"19","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3536-7692","authenticated-orcid":false,"given":"Torben","family":"Ommen","sequence":"first","affiliation":[{"name":"Department of Mechanical Engineering, Technical University of Denmark, 2800 Kongens Lyngby, Denmark"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Oskar","family":"Sigthorsson","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Technical University of Denmark, 2800 Kongens Lyngby, Denmark"},{"name":"Current address: Marorka, 105 Reykjavik, Iceland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Brian","family":"Elmegaard","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Technical University of Denmark, 2800 Kongens Lyngby, Denmark"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2017,2,15]]},"reference":[{"key":"ref_1","unstructured":"International Institute of Refrigeration (2015). The Role of Refrigeration in the Global Economy, International Institute of Refrigeration. Technical Report."},{"key":"ref_2","first-page":"73","article-title":"Thermoeconomic analysis and diagnosis of energy utility systems from diagnosis to prognosis","volume":"7","author":"Verda","year":"2004","journal-title":"Int. J. Thermodyn."},{"key":"ref_3","first-page":"41","article-title":"On the thermoeconomic approach to the diagnosis of energy system malfunctions indicators to diagnose malfunctions: Application of a new indicator for the location of causes","volume":"7","author":"Toffolo","year":"2004","journal-title":"Int. J. Thermodyn."},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Piacentino, A., and Catrini, P. (2016). Assessing the robustness of thermoeconomic diagnosis of fouled evaporators: Sensitivity analysis of the exergetic performance of direct expansion coils. Entropy, 18.","DOI":"10.3390\/e18030085"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1080\/10789669.1997.10391359","article-title":"A Statistical, Rule-Based Fault Detection and Diagnostic Method for Vapor Compression Air Conditioners","volume":"3","author":"Rossi","year":"1997","journal-title":"HVAC R Res."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"680","DOI":"10.1016\/j.ijrefrig.2004.12.007","article-title":"Fault diagnosis and refrigerant leak detection in vapour compression refrigeration systems","volume":"28","author":"Tassou","year":"2005","journal-title":"Int. J. Refrig."},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Green, T., Izadi-Zamanabadi, R., and Niemann, H. (2010, January 6\u20138). On the choice of performance assessment criteria and their impact on the overall system performance\u2014The refrigeration system case study. Proceedings of the 1st Conference on Control and Fault-Tolerant Systems, SysTol\u201910, Nice, France.","DOI":"10.1109\/SYSTOL.2010.5676067"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1016\/j.enconman.2011.12.028","article-title":"Numerical model for thermoeconomic diagnosis in commercial transcritical\/ subcritical booster refrigeration systems","volume":"60","author":"Ommen","year":"2012","journal-title":"Energy Convers. Manag."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"24","DOI":"10.1016\/j.ijrefrig.2012.09.014","article-title":"Critical analysis of conventional thermoeconomic approaches to the diagnosis of multiple faults in air conditioning units: Capabilities, drawbacks and improvement directions. A case study for an air-cooled system with 120 kW capacity","volume":"36","author":"Piacentino","year":"2013","journal-title":"Int. J. Refrig."},{"key":"ref_10","first-page":"33","article-title":"Thermoeconomic philosophy applied to the operating analysis and diagnosis of energy utility systems","volume":"7","author":"Valero","year":"2004","journal-title":"Int. J. Thermodyn."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1223","DOI":"10.1016\/S0196-8904(98)00016-8","article-title":"Thermoeconomic analysis and diagnosis of a refrigeration plant","volume":"39","year":"1998","journal-title":"Energy Convers. Manag."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"144","DOI":"10.1016\/j.energy.2007.06.007","article-title":"On the cost formation process of the residues","volume":"33","author":"Torres","year":"2008","journal-title":"Energy"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"943","DOI":"10.1016\/j.apenergy.2009.09.025","article-title":"Scope-Oriented Thermoeconomic analysis of energy systems. Part I: Looking for a non-postulated cost accounting for the dissipative devices of a vapour compression chiller. Is it feasible?","volume":"87","author":"Piacentino","year":"2010","journal-title":"Appl. Energy"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"957","DOI":"10.1016\/j.apenergy.2009.09.027","article-title":"Scope Oriented Thermoeconomic analysis of energy systems. Part II: Formation Structure of Optimality for robust design","volume":"87","author":"Piacentino","year":"2010","journal-title":"Appl. Energy"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"634","DOI":"10.1016\/j.energy.2012.07.034","article-title":"Allocation of waste cost in thermoeconomic analysis","volume":"45","author":"Agudelo","year":"2012","journal-title":"Energy"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"903","DOI":"10.1007\/s40430-014-0210-7","article-title":"Application of an alternative thermoeconomic approach to a two-stage vapour compression refrigeration cascade cycle","volume":"37","author":"Nebra","year":"2015","journal-title":"J. Braz. Soc. Mech. Sci. Eng."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"335","DOI":"10.1115\/1.2358148","article-title":"A critical review of the thermoeconomic diagnosis methodologies for the location of causes of malfunctions in energy Systems","volume":"128","author":"Lazzaretto","year":"2006","journal-title":"J. Energy Resour. Technol. Trans. ASME"},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Toffolo, A., and Lazzaretto, A. (2007). A new thermoeconomic method for the location of causes of malfunctions in energy systems. J. Energy Resour. Technol. Trans. ASME, 129.","DOI":"10.1115\/1.2424960"},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Verda, V., Serra, L., and Valero, A. (2001, January 11\u201316). A procedure for filtering the induced effects in the thermoeconomic diagnosis of an energy system. Proceedings of the 2001 ASME International Mechanical Engineering Congress and Exposition, New York, NY, USA.","DOI":"10.1115\/IMECE2001\/AES-23654"},{"key":"ref_20","first-page":"75","article-title":"Zooming procedure for the thermoeconomic diagnosis of highly complex energy systems","volume":"5","author":"Verda","year":"2002","journal-title":"Int. J. Appl. Thermodyn."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"1875","DOI":"10.1016\/j.energy.2004.04.053","article-title":"On the thermoeconomic approach to the diagnosis of energy system malfunctions: Part 1: The TADEUS problem","volume":"29","author":"Valero","year":"2004","journal-title":"Energy"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"1889","DOI":"10.1016\/j.energy.2004.03.008","article-title":"On the thermoeconomic approach to the diagnosis of energy system malfunctions: Part 2. Malfunction definitions and assessment","volume":"29","author":"Valero","year":"2004","journal-title":"Energy"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"1586","DOI":"10.1016\/j.energy.2006.01.003","article-title":"Four approaches compared on the TADEUS (thermoeconomic approach to the diagnosis of energy utility systems) test case","volume":"31","author":"Lazzaretto","year":"2006","journal-title":"Energy"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"490","DOI":"10.1016\/j.energy.2006.07.038","article-title":"Exergy method for the diagnosis of energy systems using measured data","volume":"32","author":"Verda","year":"2007","journal-title":"Energy"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"1989","DOI":"10.1016\/j.apenergy.2009.12.004","article-title":"Energy efficiency assessment and improvement in energy intensive systems through thermoeconomic diagnosis of the operation","volume":"87","author":"Valero","year":"2010","journal-title":"Appl. Energy"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"4072","DOI":"10.1016\/j.energy.2011.04.040","article-title":"Thermodynamic information system for diagnosis and prognosis of power plant operation condition","volume":"36","author":"Silva","year":"2011","journal-title":"Energy"},{"key":"ref_27","unstructured":"F-Chart Software (LLC.). Available online: http:\/\/www.fchart.com\/ees\/."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"1868","DOI":"10.1016\/j.enconman.2010.11.015","article-title":"Thermodynamic analysis of transcritical CO2 booster refrigeration systems in supermarket","volume":"52","author":"Ge","year":"2011","journal-title":"Energy Convers. Manag."},{"key":"ref_29","unstructured":"CompSUPER\u2014Produkter til Supermarkeder. Available online: http:\/\/www.advansor.dk\/produkter\/compsuper\/."},{"key":"ref_30","unstructured":"Bejan, A., Tsatsaronis, G., and Moran, M. (1996). Thermal Design & Optimization, John Wiley & Sons. [1st ed.]."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"939","DOI":"10.1016\/0360-5442(93)90006-Y","article-title":"Theory of the exergetic cost","volume":"18","author":"Lozano","year":"1993","journal-title":"Energy"},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"1503","DOI":"10.1016\/S0196-8904(02)00032-8","article-title":"Structural theory and thermoeconomic diagnosis: Part I. On malfunction and dysfunction analysis","volume":"43","author":"Torres","year":"2002","journal-title":"Energy Convers. Manag."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"3248","DOI":"10.1016\/j.energy.2006.03.022","article-title":"Accuracy level in thermoeconomic diagnosis of energy systems","volume":"31","author":"Verda","year":"2006","journal-title":"Energy"},{"key":"ref_34","unstructured":"Danfoss A\/S Data Sheet\/Technical Leaflet, AKS 11, PT1000 Temperature Sensor, Superheat Measurement, 2012. Available online: http:\/\/sensors.danfoss.com\/temperature-sensors\/aks11-21\/#\/."},{"key":"ref_35","unstructured":"Danfoss A\/S Data Sheet\/Technical Leaflet, AKS 2050, Pressure Transmitter, 2012. Available online: http:\/\/sensors.danfoss.com\/pressure-transmitters\/aks32r-2050\/#\/."},{"key":"ref_36","unstructured":"ABB Inc. Electricity Meters, for Modular Enclosures and DIN Rail, DBB13000, 2010. Available online: http:\/\/www.abb.com\/product\/seitp329\/170cfafb1c654c25c125718f002961d6.aspx."},{"key":"ref_37","unstructured":"Siemens AG Coriolis Flowmeters, SITRANS F C MASS 2100 Di 3-15, 2013. Available online: http:\/\/w3.siemens.com\/mcms\/sensor-systems\/en\/process-instrumentation\/flow-measurement\/coriolis-flow-meter\/sensors\/pages\/sitrans-f-c-mass-2100-di-3-15.aspx."},{"key":"ref_38","first-page":"85","article-title":"On the thermoeconomic approach to the diagnosis of energy system malfunctions suitability to real-time monitoring","volume":"7","author":"Correas","year":"2004","journal-title":"Int. J. Thermodyn."},{"key":"ref_39","first-page":"143","article-title":"Thermoeconomic diagnosis theory based on thermo-characterization","volume":"13","year":"2010","journal-title":"Int. J. Thermodyn."}],"container-title":["Entropy"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1099-4300\/19\/2\/69\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T18:28:20Z","timestamp":1760207300000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1099-4300\/19\/2\/69"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,2,15]]},"references-count":39,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2017,2]]}},"alternative-id":["e19020069"],"URL":"https:\/\/doi.org\/10.3390\/e19020069","relation":{},"ISSN":["1099-4300"],"issn-type":[{"type":"electronic","value":"1099-4300"}],"subject":[],"published":{"date-parts":[[2017,2,15]]}}}