{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,23]],"date-time":"2026-01-23T20:04:04Z","timestamp":1769198644619,"version":"3.49.0"},"reference-count":37,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2022,2,8]],"date-time":"2022-02-08T00:00:00Z","timestamp":1644278400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematics"],"abstract":"<jats:p>This work aims to analyze and manage the optimal power consumption of the autonomous power system within the Pamir region of Republic of Tajikistan, based on renewable energy sources. The task is solved through linear programming methods, production rules and mathematical modeling of power consumption modes by generating consumers. It is assumed that power consumers in the considered region have an opportunity to independently cover energy shortage by installing additional generating energy sources. The objective function is to minimize the financial expenses for own power consumption, and to maximize them from both the export and redistribution of power flows. In this study, the optimal ratio of power generation by alternative sources from daily power consumption for winter was established to be hydroelectric power plants (94.8%), wind power plant (3.8%), solar photovoltaic power plant (0.5%) and energy storage (0.8%); while it is not required in summer due to the ability to ensure the balance of energy by hydroelectric power plants. As a result, each generating consumer can independently minimize their power consumption and maximize profit from the energy exchange with other consumers, depending on the selected energy sources, thus becoming a good example of carbon-free energy usage at the micro- and mini-grid level.<\/jats:p>","DOI":"10.3390\/math10030525","type":"journal-article","created":{"date-parts":[[2022,2,8]],"date-time":"2022-02-08T23:37:48Z","timestamp":1644363468000},"page":"525","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":30,"title":["Optimal Management of Energy Consumption in an Autonomous Power System Considering Alternative Energy Sources"],"prefix":"10.3390","volume":"10","author":[{"given":"Vadim","family":"Manusov","sequence":"first","affiliation":[{"name":"Department of Industrial Power Supply Systems, Novosibirsk State Technical University, 630073 Novosibirsk, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1593-129X","authenticated-orcid":false,"given":"Svetlana","family":"Beryozkina","sequence":"additional","affiliation":[{"name":"College of Engineering and Technology, American University of the Middle East, Kuwait"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Muso","family":"Nazarov","sequence":"additional","affiliation":[{"name":"Department of Industrial Power Supply Systems, Novosibirsk State Technical University, 630073 Novosibirsk, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3433-9742","authenticated-orcid":false,"given":"Murodbek","family":"Safaraliev","sequence":"additional","affiliation":[{"name":"Department of Automated Electrical Systems, Ural Federal University, 620002 Yekaterinburg, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Inga","family":"Zicmane","sequence":"additional","affiliation":[{"name":"Faculty of Electrical and Environmental Engineering, Riga Technical University, LV-1048 Riga, Latvia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5704-0976","authenticated-orcid":false,"given":"Pavel","family":"Matrenin","sequence":"additional","affiliation":[{"name":"Department of Industrial Power Supply Systems, Novosibirsk State Technical University, 630073 Novosibirsk, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4344-6462","authenticated-orcid":false,"given":"Anvari","family":"Ghulomzoda","sequence":"additional","affiliation":[{"name":"Department of Automated Electric Power Systems, Novosibirsk State Technical University, 630073 Novosibirsk, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,2,8]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Mohseni, S., Brent, A.C., and Burmester, D. 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