OPTIMIZATION PROBLEMS OF MATHEMATICAL MODELLING OF A BUILDING AS A UNIFIED HEAT AND POWER SYSTEM
The mathematical model of a building as a single heat energy system by the decomposition method is represented by three interconnected mathematical models: the first is a mathematical model of the energy interaction of a building’s shell with an outdoor climate; the second is a mathematical model of...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Publishing House ASV
2020-03-01
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| Series: | International Journal for Computational Civil and Structural Engineering |
| Subjects: | |
| Online Access: | https://ijccse.iasv.ru/article/view/280 |
| _version_ | 1811264192941916160 |
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| author | Yuri Tabunshchikov Marianna Brodach |
| author_facet | Yuri Tabunshchikov Marianna Brodach |
| author_sort | Yuri Tabunshchikov |
| collection | DOAJ |
| description | The mathematical model of a building as a single heat energy system by the decomposition method is represented by three interconnected mathematical models: the first is a mathematical model of the energy interaction of a building’s shell with an outdoor climate; the second is a mathematical model of energy flows through the shell of a building; the third is a mathematical model of optimal control of energy consumption to ensure the required microclimate. Optimization problems for three mathematical models with objective functions are formulated. Methods for solving these problems are determined on the basis of the calculus of variations and the Pontryagin maximum principle. A method for assessing the skill of an architect and engineer in the design of a building as a single heat energy system is proposed. |
| first_indexed | 2024-04-12T19:58:42Z |
| format | Article |
| id | doaj.art-3acd95c89014435680428b7336de0391 |
| institution | Directory Open Access Journal |
| issn | 2587-9618 2588-0195 |
| language | English |
| last_indexed | 2024-04-12T19:58:42Z |
| publishDate | 2020-03-01 |
| publisher | Publishing House ASV |
| record_format | Article |
| series | International Journal for Computational Civil and Structural Engineering |
| spelling | doaj.art-3acd95c89014435680428b7336de03912022-12-22T03:18:35ZengPublishing House ASVInternational Journal for Computational Civil and Structural Engineering2587-96182588-01952020-03-0116110.22337/2587-9618-2020-16-1-156-161OPTIMIZATION PROBLEMS OF MATHEMATICAL MODELLING OF A BUILDING AS A UNIFIED HEAT AND POWER SYSTEMYuri Tabunshchikov0Marianna Brodach1Moscow Architectural Institute (State Academy), Moscow, RUSSIAMoscow Architectural Institute (State Academy), Moscow, RUSSIAThe mathematical model of a building as a single heat energy system by the decomposition method is represented by three interconnected mathematical models: the first is a mathematical model of the energy interaction of a building’s shell with an outdoor climate; the second is a mathematical model of energy flows through the shell of a building; the third is a mathematical model of optimal control of energy consumption to ensure the required microclimate. Optimization problems for three mathematical models with objective functions are formulated. Methods for solving these problems are determined on the basis of the calculus of variations and the Pontryagin maximum principle. A method for assessing the skill of an architect and engineer in the design of a building as a single heat energy system is proposed.https://ijccse.iasv.ru/article/view/280building as a single heat power system, mathematical model, heat consumption optimization, outdoor climate, building envelope, maximum principle |
| spellingShingle | Yuri Tabunshchikov Marianna Brodach OPTIMIZATION PROBLEMS OF MATHEMATICAL MODELLING OF A BUILDING AS A UNIFIED HEAT AND POWER SYSTEM International Journal for Computational Civil and Structural Engineering building as a single heat power system, mathematical model, heat consumption optimization, outdoor climate, building envelope, maximum principle |
| title | OPTIMIZATION PROBLEMS OF MATHEMATICAL MODELLING OF A BUILDING AS A UNIFIED HEAT AND POWER SYSTEM |
| title_full | OPTIMIZATION PROBLEMS OF MATHEMATICAL MODELLING OF A BUILDING AS A UNIFIED HEAT AND POWER SYSTEM |
| title_fullStr | OPTIMIZATION PROBLEMS OF MATHEMATICAL MODELLING OF A BUILDING AS A UNIFIED HEAT AND POWER SYSTEM |
| title_full_unstemmed | OPTIMIZATION PROBLEMS OF MATHEMATICAL MODELLING OF A BUILDING AS A UNIFIED HEAT AND POWER SYSTEM |
| title_short | OPTIMIZATION PROBLEMS OF MATHEMATICAL MODELLING OF A BUILDING AS A UNIFIED HEAT AND POWER SYSTEM |
| title_sort | optimization problems of mathematical modelling of a building as a unified heat and power system |
| topic | building as a single heat power system, mathematical model, heat consumption optimization, outdoor climate, building envelope, maximum principle |
| url | https://ijccse.iasv.ru/article/view/280 |
| work_keys_str_mv | AT yuritabunshchikov optimizationproblemsofmathematicalmodellingofabuildingasaunifiedheatandpowersystem AT mariannabrodach optimizationproblemsofmathematicalmodellingofabuildingasaunifiedheatandpowersystem |