{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,6]],"date-time":"2025-11-06T15:58:53Z","timestamp":1762444733661,"version":"build-2065373602"},"reference-count":21,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2017,10,23]],"date-time":"2017-10-23T00:00:00Z","timestamp":1508716800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Games"],"abstract":"<jats:p>In recent years, microgrids have developed as important parts of power systems and have provided affordable, reliable, and sustainable supplies of electricity. Each microgrid is managed as a single controllable entity with respect to the existing power system but demands for joint operation and sharing the benefits between a microgrid and its hosting utility. This paper is focused on the joint operation of a microgrid and its hosting utility, which cooperatively minimize daily generation costs through energy exchange, and presents a payment calculation scheme for power transactions based on a fair allocation of reduced generation costs. To fairly compensate for energy exchange between the micro- and utility grids, we adopt the cooperative game theoretic solution concept of Shapley value. We design a case study for a fictitious interconnection model between the Mueller microgrid in Austin, Texas and the utility grid in Taiwan. Our case study shows that when compared to standalone generations, both the micro- and utility grids are better off when they collaborate in power exchange regardless of their individual contributions to the power exchange coalition.<\/jats:p>","DOI":"10.3390\/g8040045","type":"journal-article","created":{"date-parts":[[2017,10,23]],"date-time":"2017-10-23T12:20:24Z","timestamp":1508761224000},"page":"45","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":16,"title":["Shapley Value-Based Payment Calculation for Energy Exchange between Micro- and Utility Grids"],"prefix":"10.3390","volume":"8","author":[{"given":"Robin","family":"Pilling","sequence":"first","affiliation":[{"name":"Graduate Institute of Industrial Engineering, National Taiwan University, Taipei 10617, Taiwan"}]},{"given":"Shi","family":"Chang","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering, National Taiwan University, Taipei 10617, Taiwan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5158-7388","authenticated-orcid":false,"given":"Peter","family":"Luh","sequence":"additional","affiliation":[{"name":"Department of Electrical and Computer Engineering, University of Connecticut, Storrs, CT 06269, USA"}]}],"member":"1968","published-online":{"date-parts":[[2017,10,23]]},"reference":[{"key":"ref_1","unstructured":"Hogan, W.W. 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