{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,16]],"date-time":"2026-05-16T08:27:54Z","timestamp":1778920074185,"version":"3.51.4"},"reference-count":20,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2017,3,10]],"date-time":"2017-03-10T00:00:00Z","timestamp":1489104000000},"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>Information from exergy cost analysis can be effectively used in the design and management of modern district heating networks (DHNs) since it allows to properly account for the irreversibilities in energy conversion and distribution. Nevertheless, this requires the development of suitable graph-based approaches that are able to effectively consider the network topology and the variations of the physical properties of the heating fluid on a time-dependent basis. In this work, a formulation of exergetic costs suitable for large graph-based networks is proposed, which is consistent with the principles of exergetic costing. In particular, the approach is more compact in comparison to straightforward approaches of exergetic cost formulation available in the literature, especially when applied to fluid networks. Moreover, the proposed formulation is specifically considering transient operating conditions, which is a crucial feature and a necessity for the analysis of future DHNs. Results show that transient effects of the thermodynamic behavior are not negligible for exergy cost analysis, while this work offers a coherent approach to quantify them.<\/jats:p>","DOI":"10.3390\/e19030109","type":"journal-article","created":{"date-parts":[[2017,3,10]],"date-time":"2017-03-10T09:39:55Z","timestamp":1489138795000},"page":"109","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Formulation of Exergy Cost Analysis to Graph-Based Thermal Network Models"],"prefix":"10.3390","volume":"19","author":[{"given":"Stefano","family":"Coss","sequence":"first","affiliation":[{"name":"Department of Energy, Politecnico di Torino, Turin 10129, Italy"},{"name":"Department of Energy Systems and Environment, Ecole des Mines de Nantes, Nantes 44300, France"},{"name":"Department of Research and Innovation, Veolia VERI, Limay 78520, France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Elisa","family":"Guelpa","sequence":"additional","affiliation":[{"name":"Department of Energy, Politecnico di Torino, Turin 10129, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Etienne","family":"Letournel","sequence":"additional","affiliation":[{"name":"Department of Research and Innovation, Veolia VERI, Limay 78520, France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Olivier","family":"Le-Corre","sequence":"additional","affiliation":[{"name":"Department of Energy Systems and Environment, Ecole des Mines de Nantes, Nantes 44300, France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Vittorio","family":"Verda","sequence":"additional","affiliation":[{"name":"Department of Energy, Politecnico di Torino, Turin 10129, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2017,3,10]]},"reference":[{"key":"ref_1","unstructured":"Tribus, M., and Evans, R.B. (1962). A Contribution to the Theory of Thermoeconomics, University of California. UCLA Report No. 6236."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"287","DOI":"10.1016\/0360-5442(94)90113-9","article-title":"Exergoeconomic Evaluation and Optimization of Energy Systems\u2014The CGAM Problem","volume":"19","author":"Tsatsaronis","year":"1994","journal-title":"Energy"},{"key":"ref_3","unstructured":"El Sayed, Y.M. (2003). The Thermoeconomics of Energy Conversions, Elsevier."},{"key":"ref_4","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_5","doi-asserted-by":"crossref","first-page":"38","DOI":"10.1016\/j.energy.2011.08.027","article-title":"Thermoeconomic approach for the analysis of control system of energy plants","volume":"41","author":"Verda","year":"2012","journal-title":"Energy"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"537","DOI":"10.1016\/j.energy.2014.07.019","article-title":"A comparative exergy and exergoeconomic analysis of a residential heat supply system paradigm of Japan and local source based district heating system using SPECO (specific exergy cost) method","volume":"74","author":"Baldvinsson","year":"2014","journal-title":"Energy"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1016\/j.energy.2015.11.057","article-title":"A feasibility and performance assessment of a low temperature district heating system\u2014A North Japanese case study","volume":"95","author":"Baldvinsson","year":"2016","journal-title":"Energy"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"12","DOI":"10.1016\/j.energy.2013.04.032","article-title":"Complex analysis of the optimal coefficient of the share of cogeneration in district heating systems","volume":"62","author":"Ziebik","year":"2013","journal-title":"Energy"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"3929","DOI":"10.1016\/j.applthermaleng.2011.07.042","article-title":"Thermo-economic analysis of pipe insulation for district heating piping systems","volume":"31","author":"Bayhan","year":"2011","journal-title":"Appl. Therm. Eng."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1016\/j.renene.2010.05.022","article-title":"Performance and thermo-economic assessments of geothermal district heating system: A case study in Afyon, Turkey","volume":"36","year":"2011","journal-title":"Renew. Energy"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"221","DOI":"10.5541\/ijot.422","article-title":"Thermoeconomics as a tool for the design and analysis of energy savings initiatives in buildings connected to district heating networks","volume":"15","author":"Verda","year":"2012","journal-title":"Int. J. Thermodyn."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"485","DOI":"10.1016\/j.energy.2016.07.016","article-title":"Thermoeconomic cost assessment in future district heating networks","volume":"117","author":"Verda","year":"2016","journal-title":"Energy"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"40","DOI":"10.1016\/j.energy.2012.07.001","article-title":"Reduction of primary energy needs in urban areas trough optimal planning of district heating and heat pump installations","volume":"48","author":"Verda","year":"2012","journal-title":"Energy"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"586","DOI":"10.1016\/j.energy.2016.02.058","article-title":"Optimal operation of large district heating networks through fast fluid-dynamic simulation","volume":"102","author":"Guelpa","year":"2016","journal-title":"Energy"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1016\/j.energy.2012.03.056","article-title":"Energy and exergy analysis of low temperature district heating network","volume":"45","author":"Li","year":"2012","journal-title":"Energy"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"939","DOI":"10.1016\/0360-5442(93)90006-Y","article-title":"Theory of exergetic cost","volume":"18","author":"Lozano","year":"1993","journal-title":"Energy"},{"key":"ref_17","unstructured":"Sciacovelli, A., Verda, V., and Borchiellini, R. (2013). Numerical Design of Thermal Systems, CLUT."},{"key":"ref_18","unstructured":"Zawislak, S., and Rysinski, J. (2016). Graph-Based Modelling in Engineering, Springer."},{"key":"ref_19","unstructured":"Kotas, T.J. (1995). The Exergy Method of Thermal Plant Analysis, Krieger Publishing."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"1257","DOI":"10.1016\/j.energy.2005.03.011","article-title":"SPECO: A systematic and general methodology for calculating efficiencies and costs in thermal systems","volume":"31","author":"Lazzaretto","year":"2006","journal-title":"Energy"}],"container-title":["Entropy"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1099-4300\/19\/3\/109\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T18:30:13Z","timestamp":1760207413000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1099-4300\/19\/3\/109"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,3,10]]},"references-count":20,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2017,3]]}},"alternative-id":["e19030109"],"URL":"https:\/\/doi.org\/10.3390\/e19030109","relation":{},"ISSN":["1099-4300"],"issn-type":[{"value":"1099-4300","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,3,10]]}}}