vdgtuВестник Дагестанского государственного технического университета. Технические наукиHerald of Dagestan State Technical University. Technical Sciences2073-61852542-095XDaghestan State Technical University10.21822/2073-6185-2025-52-3-199-211vdgtu-1853Research ArticleСТРОИТЕЛЬСТВО И АРХИТЕКТУРАBUILDING AND ARCHITECTUREАлгоритмизация и программная реализация подбора параметров работы насосного оборудования в системах водяного отопления жилых зданийAlgorithmization and software implementation for selecting operating parameters of pumping equipment in hydronic heating systems of residential buildingshttps://orcid.org/0000-0002-3522-9302КарповД. Ф.KarpovD. F.

Карпов Денис Федорович - старший преподаватель, кафедра теплогазоводоснабжения.

160000, Вологда, ул. Ленина, 15

15 Lenin Str., Vologda 160000

karpovdf@vogu35.ruhttps://orcid.org/0000-0002-8687-3296ПавловМ. В.PavlovM. V.

Павлов Михаил Васильевич - кандидат технических наук, доцент, доцент, кафедра теплогазоводоснабжения.

160000, Вологда, ул. Ленина, 15

15 Lenin Str., Vologda 160000

pavlovmv@vogu35.ruАбрамоваЕ. В.AbramovaE. V.

Абрамова Елена Вячеславовна - доктор технических наук, профессор, кафедра сварки, диагностики и специальной робототехники; главный научный сотрудник, НИИСФ РААСН.

105005, Москва, ул. 2-я Бауманская, 5; 127238, Москва, Локомотивный пр., 21

5 2nd Baumanskaya Str., Moscow 105005; 21 Locomotive Str., Moscow 127238

eva32@bk.ruРазумноваЕ. А.RazumnovaE. A.

Разумнова Елена Альбертовна - старший преподаватель, кафедра начертательной геометрии и инженерной графики.

190005, Санкт-Петербург, 2-я Красноармейская ул., 4

4, 2nd Krasnoarmeiskaya Str., Saint Petersburg 190005

elena07razumnova@yandex.ruВологодский государственный университетРоссияVologda State UniversityRussian FederationМосковский государственный технический университет имени Н.Э. Баумана (национальный исследовательский институт); Научно-исследовательский институт строительной физики Российской академии архитектуры и строительных наукРоссияBauman Moscow State Technical University (National Research Institute); Research Institute of Building Physics of the Russian Academy of Architecture and Building SciencesRussian FederationСанкт-Петербургский государственный архитектурно-строительный университетРоссияSaint Petersburg State University of Architecture and Civil EngineeringRussian Federation202510112025523199211Copyright © Карпов Д.Ф., Павлов М.В., Абрамова Е.В., Разумнова Е.А., 20252025Карпов Д.Ф., Павлов М.В., Абрамова Е.В., Разумнова Е.А.Karpov D.F., Pavlov M.V., Abramova E.V., Razumnova E.A.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://vestnik.dgtu.ru/jour/article/view/1853Цель

Цель. Цель исследования состоит в разработке и программной реализации алгоритмов инженерных расчетов, предназначенных для автоматизированного определения параметров смесительных, водоструйных и циркуляционных насосов, применяемых в системах водяного отопления жилых зданий.

Метод

Метод. Методологической основой исследования являются нормативные положения в области отопления и теплоснабжения, уравнение теплового баланса и принципы гидравлического расчета систем отопления. Алгоритмы реализованы в виде трех взаимосвязанных программных модулей, структурированных по блочно-логической схеме: ввод исходных данных, теплотехнический и гидравлический расчеты, вывод параметров для подбора насосов. Расчеты выполняются с учетом установившегося теплового режима, параметров наружного и внутреннего воздуха, гидравлических потерь в системе и конструктивных особенностей насосного оборудования.

Результат

Результат. Разработаны три специализированные программы для подбора параметров работы смесительного, водоструйного и циркуляционного насосов, применяемых в системах водяного отопления жилых зданий. Обеспечено автоматизированное определение исходных и расчетных параметров, включая максимальную тепловую нагрузку, массовый расход теплоносителя, коэффициент смешения потоков, гидравлический напор, геометрические характеристики. Представлена структура каждого программного модуля с обоснованием входных, промежуточных расчетных данных в виде листинга и выходных характеристик.

Вывод

Вывод. Разработанные алгоритмы позволяют упростить и ускорить процедуру подбора параметров работы насосного оборудования, а также минимизировать погрешности при инженерных расчетах. Предложенные программные средства обеспечивают соответствие проектных решений действующим нормативным требованиям и учитывают, как наружные и внутренние климатические условия, так и эксплуатационные характеристики зданий; позволяют адаптировать алгоритмы расчета под различные условия теплоснабжения, включая независимое присоединение и замыкающие участки систем. Автоматизация расчетов способствует интенсификации проектных работ и может быть интегрирована в системы САПР и BIM-технологии.

Objective

Objective. The aim of the study is to develop and implement software algorithms for engineering calculations designed for the automated determination of the parameters of mixing, water-jet and circulation pumps used in water heating systems of residential buildings.

Method

Method. The methodological foundation of the study is based on regulatory provisions in the fields of heating and heat supply, the heat balance equation, and the principles of hydraulic calculation for heating systems. The algorithms are implemented as three interrelated software modules, structured according to a block-logical scheme: input of initial data, thermal and hydraulic calculations, and output of parameters for pump selection. The calculations are performed with consideration of the steady-state thermal regime, outdoor and indoor air parameters, hydraulic losses in the system, and the design features of the pumping equipment.

Result

Result. Three specialized software programs have been developed for selecting the operating parameters of mixing, jet, and circulation pumps used in hydronic heating systems of residential buildings. The automated determination of input and calculated parameters is provided, including maximum thermal load, mass flow rate of the heat carrier, flow mixing ratio, hydraulic head, and geometric characteristics. The structure of each software module is presented, with justification of the input data, intermediate computational results in the form of listings, and output parameters.

Conclusion

Conclusion. Algorithms simplify and accelerate the process of selecting pumping equipment operating parameters and minimize errors in engineering calculations. The software ensures that design solutions comply with regulatory requirements and takes into account external and internal climatic conditions and building performance characteristics. They also allow calculation algorithms to be adapted to heating supply conditions, including independent connections and closing sections of systems. Automated calculations facilitate the intensification of design work and are integrated into CAD and BIM technologies.

система водяного отоплениясмесительныйводоструйный и циркуляционный насосыгидравлический напормаксимальная тепловая нагрузкарасход теплоносителякэффициент смешения потоковтепловой баланспараметрыhydronic heating systemmixingwater-jet and circulation pumpshydraulic headpeak heat loadheat carrier flow rateflow mixing ratioheat balanceparametersReferencesViskar, Romi and Lepiksaar, Kertu. Typical problems and the solutions for heating substations. CONECT. International Scientific Conference of Environmental and Climate Technologies. 2025. 32. https://doi.org/10.7250/CONECT.2025.011Viskar, Romi and Lepiksaar, Kertu. Typical problems and the solutions for heating substations. CONECT. International Scientific Conference of Environmental and Climate Technologies. 2025:32. https://doi.org/10.7250/CONECT.2025.011Zakladnyi, Oleg and Prokopenko, Volodymyr. Comprehensive assessment of energy efficiency of pumping equipment with adjustable drive. power engineering: economics, technique, ecology. 2025. https://doi.org/10.20535/18135420.2.2025.329529Zakladnyi O. and Prokopenko V.. Comprehensive assessment of energy efficiency of pumping equipment with adjustable drive. power engineering: economics, technique, ecology. 2025. doi.org/10.20535/1813-5420.2.2025.329529Vahidi, Hossein and Esfahanizadeh, Mohsen. A comparative life cycle assessment of residential heating systems in Tehran, Iran. Energy Science and Engineering. 2025. https://doi.org/10.1002/ese3.70129Vahidi, Hossein and Esfahanizadeh, Mohsen. A comparative life cycle assessment of residential heating systems in Tehran, Iran. Energy Science and Engineering. 2025. https://doi.org/10.1002/ese3.70129Li, Chen and Qiu, Baoyun and Yan, Tianxu and Wang, Huijie and Zhao, Fangling and Qi, Guipeng. The optimization strategy of pump-valve combined scheduling and pump unit reselection in heating systems. Journal of Physics: Conference Series. 2024. 2854. 012072. https://doi.org/10.1088/1742-6596/2854/1/012072Li, Chen and Qiu, Baoyun and Yan, Tianxu and Wang, Huijie and Zhao, Fangling and Qi, Guipeng. The optimization strategy of pump-valve combined scheduling and pump unit reselection in heating systems. Journal of Physics: Conference Series. 2024; 2854. 012072. https://doi.org/10.1088/1742-6596/2854/1/012072Дорофеева, Н.Л. Автоматизация температурных режимов в водяных системах отопления / Н.Л. Дорофеева, А.В. Бабик // Молодежный вестник ИрГТУ. 2021. Т. 11. № 2. С. 67-70Dorofeeva, N.L., Babik, A.V. Automation of temperature regimes in hydronic heating systems. Youth Bulletin of IrSTU. 2021;11(2): 67-70 (In Russ.)Peng, Yin and Wenju, Hu and Deying, Li and Xiaoyu, Li and Xiping, Zeng. Application and economic analysis of water jet pump in new district heating system. Procedia Engineering. 2017. 205. 996-1003. https://doi.org/10.1016/j.proeng.2017.10.158Peng, Yin and Wenju, Hu and Deying, Li and Xiaoyu, Li and Xiping, Zeng. Application and economic analysis of water jet pump in new district heating system. Procedia Engineering. 2017;205:996-1003. https://doi.org/10.1016/j.proeng.2017.10.158Liu, Xuelai and Zhan, Qunqun and Lia, Yongan. The application analysis of jet pump in heating system. Procedia Engineering. 2017. 205. 2208-2214. https://doi.org/10.1016/j.proeng.2017.10.050Liu, Xuelai and Zhan, Qunqun and Lia, Yongan. The application analysis of jet pump in heating system. Procedia Engineering. 2017;205: 2208-2214. https://doi.org/10.1016/j.proeng.2017.10.050Han, Jingtong and Li, Deying. Research on pipe network transformation of central heating system based on adjustable jet pump technology. Procedia Engineering. 2017. 205. 751-756. https://doi.org/10.1016/j.proeng.2017.10.006Han, Jingtong and Li, Deying. Research on pipe network transformation of central heating system based on adjustable jet pump technology. Procedia Engineering. 2017;205:751-756. https://doi.org/10.1016/j.proeng.2017.10.006Liu, Fangzhou and Li, Deying and Zeng, Xiping. Research on energy saving technology of distributing combined adjustable jet pump. Procedia Engineering. 2017. 205. 738-743. https://doi.org/10.1016/j.proeng.2017.10.004Liu, Fangzhou and Li, Deying and Zeng, Xiping. Research on energy saving technology of distributing combined adjustable jet pump. Procedia Engineering. 2017;205:738-743. https://doi.org/10.1016/j.proeng.2017.10.004Ravan Ghalati, Akbar and Sandoval, Manuel and Croquer, Sergio and Poncet, Sébastien and Lacey, Jay and Nesreddine, Hakim. Numerical modelling of liquid water jet pumps. 2024. https://doi.org/10.11159/enfht24.286Ravan Ghalati, Akbar and Sandoval, Manuel and Croquer, Sergio and Poncet, Sébastien and Lacey, Jay and Nesreddine, Hakim. Numerical modelling of liquid water jet pumps. 2024. https://doi.org/10.11159/enfht24.286Новиков, Г.Ю. Сравнительный анализ функционирования горизонтальных систем водяного отопления жилых зданий / Г.Ю. Новиков, В.А. Галковский, Е.Г. Новикова // Вестник евразийской науки. 2025.Т.17.№ 1.Novikov, G.Yu., Galkovsky, V.A., Novikova, E.G. Comparative analysis of the performance of horizontal hydronic heating systems in residential buildings. Bulletin of Eurasian Science. 2025; 17(1) (In Russ.)Lysova, E. and Paramonova, O. Development of the structure of the life cycle of the heating system of a construction facility. Modern Trends in Construction, Urban and Territorial Planning. 2025;4:68-75. doi.org/10.23947/2949-18352025-4-1-68-75Lysova, E. and Paramonova, O. Development of the structure of the life cycle of the heating system of a construction facility. Modern Trends in Construction, Urban and Territorial Planning. 2025;4:68-75. https://doi.org/10.23947/29491835-2025-4-1-68-75Garbai, László and Santa, Robert and Bošnjaković, Mladen. System-theory approach to the operation of heat exchangers in district heating systems. Periodica Polytechnica Mechanical Engineering. 2025. https://doi.org/10.3311/PPme.40593Garbai László and Santa, Robert and Bošnjaković, Mladen.System-theory approach to the operation of heat exchangers in district heating systems. Periodica Polytechnica Mechanical Engineering. 2025. Doi. org/10.3311/PPme.40593Chen, Chaofan and Witte, Francesco and Taherdangkoo, Reza and Cai, Wanlong and Chen, Shuang and Kong, Yanlong and Shao, Haibing and Hofmann, Mathias and Nagel, Thomas. Thermal performance response and heat load redistribution mechanism of a deep U-type borehole heat exchanger in heating systems. Applied Energy. 2025. 382. https://doi.org/10.1016/j.apenergy.2024.125216Chen, Chaofan and Witte, Francesco and Taherdangkoo, Reza and Cai, Wanlong and Chen, Shuang and Kong, Yanlong and Shao, Haibing and Hofmann, Mathias and Nagel, Thomas. Thermal performance response and heat load redistribution mechanism of a deep U-type borehole heat exchanger in heating systems. Applied Energy. 2025;382. https://doi.org/10.1016/j.apenergy.2024.125216Angelidis, Orestis. 5th generation district heating and cooling for holistic energy system decarbonisation: Novel system designs and detailed techno-economic assessment. 2025. https://doi.org/10.5525/gla.thesis.84916Angelidis, Orestis. 5th generation district heating and cooling for holistic energy system decarbonisation: Novel system designs and detailed techno-economic assessment. 2025. doi.org/10.5525/gla.thesis.84916Mustafaoğlu, Mansur and Matin, Reza and Kotcioğlu, İsak and Yeşilyurt, Muhammet. Experimental evaluation of water source heat pump by Taguchi method. 2024. https://doi.org/10.5281/zenodo.12547609Mustafaoğlu, Mansur and Matin, Reza and Kotcioğlu, İsak and Yeşilyurt, Muhammet. Experimental evaluation of water source heat pump by Taguchi method. 2024. https://doi.org/10.5281/zenodo.12547609Krajcik, Michal and Arıcı, Müslüm and Ma, Zhenjun. Trends in research of heating, ventilation and air conditioning and hot water systems in building retrofits: Integration of review studies. Journal of Building Engineering. 2023. 76. 107426. https://doi.org/10.1016/j.jobe.2023.107426Krajcik, Michal and Arıcı, Müslüm and Ma, Zhenjun. Trends in research of heating, ventilation and air conditioning and hot water systems in building retrofits: Integration of review studies. Journal of Building Engineering. 2023; 76. 107426. https://doi.org/10.1016/j.jobe.2023.107426Derii, V.O. and Teslenko, Oleksandr and Sokolovska, I. Methodical approach to estimating the potential of thermal energy production by heat pump plants in case of their implementation in regional district heating systems. Energy Technologies and Resource Saving. 2023. 75. 44-56. https://doi.org/10.33070/etars.2.2023.03Derii, V.O. and Teslenko, Oleksandr and Sokolovska, I. Methodical approach to estimating the potential of thermal energy production by heat pump plants in case of their implementation in regional district heating systems. Energy Technologies and Resource Saving. 2023;75:44-56. doi.org/10.33070/etars.2.2023.03Vering, Christian and Otto, Andy and Mortimer, Marc and Mehrfeld, Philipp and Mueller, Dirk. ACoolHeaD: framework for automated cooling and heating demand calculations using spatially and temporally resolved building performance simulations applied to the estimation of heating demand in Germany. Energy and Buildings. 2021. 252. https://doi.org/10.1016/j.enbuild.2021.111442Vering, Christian and Otto, Andy and Mortimer, Marc and Mehrfeld, Philipp and Mueller, Dirk. ACoolHeaD: framework for automated cooling and heating demand calculations using spatially and temporally resolved building performance simulations applied to the estimation of heating demand in Germany. Energy and Buildings. 2021;252. https://doi.org/10.1016/j.enbuild.2021.111442Lu, Chujie and Li, Sihui and Penaka, Santhan and Olofsson, Thomas. Automated machine learning-based framework of heating and cooling load prediction for quick residential building design. Energy. 2023. https://doi.org/10.1016/j.energy.2023.127334Lu, Chujie and Li, Sihui and Penaka, Santhan and Olofsson, Thomas. Automated machine learning-based framework of heating and cooling load prediction for quick residential building design. Energy. 2023. https://doi.org/10.1016/j.energy.2023.127334Polyakov, Sergey. Simulation of a heating automation system for a «smart» residential building. Modeling of systems and processes. 2021. 14. 35-44. https://doi.org/10.12737/2219-0767-2021-14-2-35-44Polyakov, Sergey. Simulation of a heating automation system for a «smart» residential building. Modeling of systems and processes. 2021;14:35-44. https://doi.org/10.12737/2219-0767-2021-14-2-35-44Симашев, В.И. Разработка системы управления ассоциативно-защищенными картографическими базами данных в распределенной вычислительной среде / В.И. Симашев, М.Г. Нуриев // Международный научноисследовательский журнал. 2025. № 4 (154). https://doi.org/10.60797/IRJ.2025.154.89Simashev, V.I., Nuriev, M.G. Development of a control system for associatively protected cartographic databases in a distributed computing environment. International Research Journal. 2025;4(154). https://doi.org/10.60797/IRJ.2025.154.89 (In Russ.)Smidl, Vaclav and Sirový, Martin and Gevorkov, Levon and Rassõlkin, Anton and Kallaste, Ants and Vaimann, Toomas. Model for energy management of residential building heating system. 2020. https://doi.org/10.1109/IWED48848.2020.9069503Smidl, Vaclav and Sirový, Martin and Gevorkov, Levon and Rassõlkin, Anton and Kallaste, Ants and Vaimann, Toomas. Model for energy management of residential building heating system. 2020. https://doi.org/10.1109/IWED48848.2020.9069503Zhang, Jiarui and Mu, Yunfei and Wu, Zeqing and Liu, Zhe and Gao, Yi and Li, Hairun. Optimal scheduling method of regenerative electric heating for emergency residential building heating: An affine arithmetic‐based model predictive control approach. IET Energy Systems Integration. 2022. 5. https://doi.org/10.1049/esi2.12082Zhang, Jiarui and Mu, Yunfei and Wu, Zeqing and Liu, Zhe and Gao, Yi and Li, Hairun. Optimal scheduling method of regenerative electric heating for emergency residential building heating: An affine arithmetic‐based model predictive control approach. IET Energy Systems Integration. 2022;5. https://doi.org/10.1049/esi2.12082Vlaminck, Noémie and Henneaux, Lucas and Besson, Maxime and Parwatha, I Gede and Sainvitu, Caroline. Data-driven forecasting of residential water, heating and electricity consumption. 2025. https://doi.org/10.13140/RG.2.2.35181.09441Vlaminck, Noémie and Henneaux, Lucas and Besson, Maxime and Parwatha, I Gede and Sainvitu, Caroline. Data-driven forecasting of residential water, heating and electricity consumption. 2025. https://doi.org/10.13140/RG.2.2.35181.09441Schmidt, Matthias and Sourmelis Terzopoulos, Venizelos Eleftherios and Kühl, Viktor and Linder, Marc. Zero emission heating with calcium oxide and water: development and demonstration of first pilot scale thermochemical heating system for buildings. Frontiers in Energy Research. 2025. 13. https://doi.org/10.3389/fenrg.2025.1617554Schmidt, Matthias and Sourmelis Terzopoulos, Venizelos Eleftherios and Kühl, Viktor and Linder, Marc. Zero emission heating with calcium oxide and water: development and demonstration of first pilot scale thermochemical heating system for buildings. Frontiers in Energy Research. 2025;13. https://doi.org/10.3389/fenrg.2025.1617554Hsu, Po-Ching and Gao, Lei and Hwang, Yunho and Radermacher, Reinard. A review of the state-of-the-art data-driven modeling of building HVAC systems. Energy and Buildings. 2025. 342. 115881. https://doi.org/10.1016/j.enbuild.2025.115881Hsu, Po-Ching and Gao, Lei and Hwang, Yunho and Radermacher, Reinard. A review of the state-of-the-art data-driven modeling of building HVAC systems. Energy and Buildings. 2025;42:115881. https://doi.org/10.1016/j.enbuild.2025.115881Свидетельство о государственной регистрации программы для ЭВМ № 2022685238. Программа для расчета параметров смесительного насоса системы водяного отопления жилого здания: № 2022685406: заявл. 22.12.2022: опубл. 22.12.2022. Бюл. № 1. М.В. Павлов, Д.Ф. Карпов, В.А. Писаренко; правообладатель ВоГУ. https://doi.org/10.13140/RG.2.2.35554.54726Certificate of state registration of a computer program No. 2022685238. Software for calculating the parameters of a mixing pump in a residential building's water heating system. No. 2022685406; filed on 22.12.2022; published on 22.12.2022. Bulletin No. 1. M.V. Pavlov, D.F. Karpov, V.A. Pisarenko; copyright holder: VSU. https://doi.org/10.13140/RG.2.2.35554.54726 (In Russ.)Свидетельство о государственной регистрации программы для ЭВМ № 2023617020. Программа для расчета параметров водоструйного насоса системы водяного отопления жилого здания: № 2023616258: заявл. 04.04.2023: опубл. 04.04.2023. Бюл. № 4. М.В. Павлов, Д.Ф. Карпов, В.А. Писаренко; правообладатель ВоГУ. https://doi.org/10.13140/RG.2.2.19616.19201Certificate of state registration of a computer program No. 2023617020. Software for calculating the parameters of a water jet pump in a residential building's water heating system. No. 2023616258; filed on 04.04.2023; published on 04.04.2023. Bulletin No. 4. M.V. Pavlov, D.F. Karpov, V.A. Pisarenko; copyright holder: VSU. https://doi.org/10.13140/RG.2.2.19616.19201 (In Russ.)Свидетельство о государственной регистрации программы для ЭВМ № 2023689376. Программа для расчета параметров циркуляционного насоса системы водяного отопления жилого здания: № 2023689435: заявл.29.12.2023:опубл.29.12.2023. Бюл. № 1.М.В.Павлов, Д.Ф.Карпов, В.А. Писаренко, К.В. Писаренко, В.П. Жукова;правообладатель ВоГУ. doi.org/10.13140/RG.2.2.23482.81602Certificate of state registration of a computer program No. 2023689376. Software for calculating the parameters of a circulation pump in a residential building's water heating system. No. 2023689435; filed on 29.12.2023; published on 29.12.2023. Bulletin No. 1. M.V. Pavlov, D.F. Karpov, V.A. Pisarenko, K.V. Pisarenko, V.P. Zhukova; copyright holder: VSU. https://doi.org/10.13140/RG.2.2.23482.81602 (In Russ.)

The authors declare that there are no conflicts of interest present.