Optimization of electricity costs in residential heat supply systems
Currently, there is a large number of objects related to recirculation of material flows, mixing of reagents of liquid and gaseous media, etc. Among them are residential heating systems. Their dynamics are described by differential equations with a deviating argument. The main task of energy-saving...
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| Language: | English |
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Igor Sikorsky Kyiv Polytechnic Institute
2024-10-01
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| Series: | Adaptivni Sistemi Avtomatičnogo Upravlinnâ |
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| Online Access: | https://asac.kpi.ua/article/view/313084 |
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| author | О. Стенін В. Пасько М. Солдатова І. Дроздович |
| author_facet | О. Стенін В. Пасько М. Солдатова І. Дроздович |
| author_sort | О. Стенін |
| collection | DOAJ |
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Currently, there is a large number of objects related to recirculation of material flows, mixing of reagents of liquid and gaseous media, etc. Among them are residential heating systems. Their dynamics are described by differential equations with a deviating argument. The main task of energy-saving management of heat supply systems of residential buildings is to increase energy efficiency with the help of the optimal mode of their operation. In the case of heat supply systems for residential buildings, the optimality criterion must take into account the need to maintain the required temperature regimes when the ambient temperature varies. Optimizing the operation of such objects using known methods is quite difficult. In this work, a dummy variable method is proposed to reduce the original system of differential equations with a deviating argument to a system of ordinary differential equations and transfer equations, for which known optimization methods can be applied. The method is generalized to systems with a non-stationary deviating argument and to systems with several processes having an aftereffect. The practical use of the dummy variable method is shown on the example of solving the problem of optimal control of the heat exchange process in a private residential building.
Ref. 21, pic. 3
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| format | Article |
| id | doaj-art-f7ceebf633d34aee832d0e0d1492d4f7 |
| institution | DOAJ |
| issn | 1560-8956 2522-9575 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | Igor Sikorsky Kyiv Polytechnic Institute |
| record_format | Article |
| series | Adaptivni Sistemi Avtomatičnogo Upravlinnâ |
| spelling | doaj-art-f7ceebf633d34aee832d0e0d1492d4f72025-08-20T02:44:13ZengIgor Sikorsky Kyiv Polytechnic InstituteAdaptivni Sistemi Avtomatičnogo Upravlinnâ1560-89562522-95752024-10-0124510.20535/1560-8956.45.2024.313084351618Optimization of electricity costs in residential heat supply systemsО. Стенін0В. Пасько1М. Солдатова2І. Дроздович3Igor Sikorsky Kyiv Polytechnic InstituteIgor Sikorsky Kyiv Polytechnic InstituteIgor Sikorsky Kyiv Polytechnic InstituteInstitute of Telecommunications and of the global information space of the National Academy of Sciences of Ukraine Currently, there is a large number of objects related to recirculation of material flows, mixing of reagents of liquid and gaseous media, etc. Among them are residential heating systems. Their dynamics are described by differential equations with a deviating argument. The main task of energy-saving management of heat supply systems of residential buildings is to increase energy efficiency with the help of the optimal mode of their operation. In the case of heat supply systems for residential buildings, the optimality criterion must take into account the need to maintain the required temperature regimes when the ambient temperature varies. Optimizing the operation of such objects using known methods is quite difficult. In this work, a dummy variable method is proposed to reduce the original system of differential equations with a deviating argument to a system of ordinary differential equations and transfer equations, for which known optimization methods can be applied. The method is generalized to systems with a non-stationary deviating argument and to systems with several processes having an aftereffect. The practical use of the dummy variable method is shown on the example of solving the problem of optimal control of the heat exchange process in a private residential building. Ref. 21, pic. 3 https://asac.kpi.ua/article/view/313084technological processaftereffectdummy variableequivalent scheme of equationsresidential building heating circuitoptimal algorithm |
| spellingShingle | О. Стенін В. Пасько М. Солдатова І. Дроздович Optimization of electricity costs in residential heat supply systems Adaptivni Sistemi Avtomatičnogo Upravlinnâ technological process aftereffect dummy variable equivalent scheme of equations residential building heating circuit optimal algorithm |
| title | Optimization of electricity costs in residential heat supply systems |
| title_full | Optimization of electricity costs in residential heat supply systems |
| title_fullStr | Optimization of electricity costs in residential heat supply systems |
| title_full_unstemmed | Optimization of electricity costs in residential heat supply systems |
| title_short | Optimization of electricity costs in residential heat supply systems |
| title_sort | optimization of electricity costs in residential heat supply systems |
| topic | technological process aftereffect dummy variable equivalent scheme of equations residential building heating circuit optimal algorithm |
| url | https://asac.kpi.ua/article/view/313084 |
| work_keys_str_mv | AT ostenín optimizationofelectricitycostsinresidentialheatsupplysystems AT vpasʹko optimizationofelectricitycostsinresidentialheatsupplysystems AT msoldatova optimizationofelectricitycostsinresidentialheatsupplysystems AT ídrozdovič optimizationofelectricitycostsinresidentialheatsupplysystems |