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Abstract: This review examines mathematical models for the integration of Phase Change Materials (PCMs) within building envelopes, focusing on energy efficiency and thermal comfort enhancements from 2013 to 2020. Various modeling strategies, optimization approaches, and experimental validation methods were assessed, highlighting key parameters such as PCM thickness, placement, and melting temperature. The review identifies significant advancements, including parametric analyses, metamodeling techniques, multi-objective optimization frameworks, and innovative performance metrics. Results indicate PCM integration substantially reduces heating and cooling loads, optimizes indoor temperature stability, and improves overall building energy performance. The findings underscore the potential and challenges of PCM implementation, emphasizing the need for further economic analyses and enhanced computational modeling.

Methods and materials: The study reviewed 29 academic papers published between 2013 and 2020, selected based on their relevance to PCM integration into building envelopes. Methodologies involved detailed analysis of parametric studies, simulation-based optimizations (e.g., EnergyPlus, GenOpt, NSGA-II algorithms), metamodeling techniques, and performance validation through experimental setups. Key variables assessed included PCM thermophysical properties, PCM layer thickness and placement, and climatic conditions affecting performance.

Results: The reviewed studies consistently demonstrated PCM's effectiveness in stabilizing indoor temperatures, reducing energy demand, and enhancing thermal comfort. Specific findings showed significant heating energy reductions (up to 23%) with optimized PCM wallboards, notable cooling load decreases in tropical climates, and improved year-round thermal performance. Innovative performance indicators, such as Relative Depth of Activation (RDA) and Time Rate of Activation (TRA), provided new insights into PCM utilization efficiency. However, results also highlighted complexities in accurately modeling PCM behavior and emphasized the importance of tailored PCM selection and integration strategies for different climatic conditions.

  • Web Address
  • DOI
  • Date of creation in the UzSCI system 22-08-2025
  • Read count 15
  • Date of publication 23-06-2025
  • Main LanguageIngliz
  • Pages127-135
English

Abstract: This review examines mathematical models for the integration of Phase Change Materials (PCMs) within building envelopes, focusing on energy efficiency and thermal comfort enhancements from 2013 to 2020. Various modeling strategies, optimization approaches, and experimental validation methods were assessed, highlighting key parameters such as PCM thickness, placement, and melting temperature. The review identifies significant advancements, including parametric analyses, metamodeling techniques, multi-objective optimization frameworks, and innovative performance metrics. Results indicate PCM integration substantially reduces heating and cooling loads, optimizes indoor temperature stability, and improves overall building energy performance. The findings underscore the potential and challenges of PCM implementation, emphasizing the need for further economic analyses and enhanced computational modeling.

Methods and materials: The study reviewed 29 academic papers published between 2013 and 2020, selected based on their relevance to PCM integration into building envelopes. Methodologies involved detailed analysis of parametric studies, simulation-based optimizations (e.g., EnergyPlus, GenOpt, NSGA-II algorithms), metamodeling techniques, and performance validation through experimental setups. Key variables assessed included PCM thermophysical properties, PCM layer thickness and placement, and climatic conditions affecting performance.

Results: The reviewed studies consistently demonstrated PCM's effectiveness in stabilizing indoor temperatures, reducing energy demand, and enhancing thermal comfort. Specific findings showed significant heating energy reductions (up to 23%) with optimized PCM wallboards, notable cooling load decreases in tropical climates, and improved year-round thermal performance. Innovative performance indicators, such as Relative Depth of Activation (RDA) and Time Rate of Activation (TRA), provided new insights into PCM utilization efficiency. However, results also highlighted complexities in accurately modeling PCM behavior and emphasized the importance of tailored PCM selection and integration strategies for different climatic conditions.

Русский

Аннотация: В данном обзоре рассматриваются математические модели интеграции материалов с фазовым переходом (МФП) в ограждающие конструкции зданий с целью повышения энергоэффективности и теплового комфорта за период с 2013 по 2020 годы. Оценены различные стратегии моделирования, методы оптимизации и экспериментальные подходы валидации, выделены ключевые параметры: толщина слоя МФП, размещение и температура плавления. Исследование выявило значительные достижения, включая параметрические анализы, методы метамоделирования, многоцелевые рамки оптимизации и инновационные показатели производительности. Результаты показывают, что интеграция МФП существенно снижает тепловые нагрузки на отопление и охлаждение, стабилизирует температуру внутри помещений и улучшает общую энергетическую эффективность зданий. Полученные данные подчеркивают потенциал и сложности применения МФП, отмечая необходимость дальнейших экономических исследований и усовершенствования вычислительных моделей.

Методы и материалы: В исследовании были проанализированы 29 научных статей, опубликованных в период с 2013 по 2020 годы, отобранных по их релевантности к интеграции МФП в ограждающие конструкции зданий. Методологии включали детальный анализ параметрических исследований, оптимизацию на основе симуляций (например, EnergyPlus, GenOpt, алгоритмы NSGA-II), методы метамоделирования и экспериментальные проверки. Основными переменными были термофизические свойства МФП, толщина и расположение слоя МФП, а также климатические условия.

Результаты: Проанализированные исследования последовательно демонстрировали эффективность МФП в стабилизации внутренних температур, снижении энергопотребления и улучшении теплового комфорта. Конкретные результаты показали значительное снижение энергозатрат на отопление (до 23%) при использовании оптимизированных стеновых панелей с МФП, заметное уменьшение нагрузки на охлаждение в тропическом климате и улучшение круглогодичных тепловых характеристик. Инновационные показатели производительности, такие как относительная глубина активации (RDA) и скорость активации (TRA), дали новые представления о степени использования МФП. Вместе с тем результаты также выявили сложности в точном моделировании поведения МФП и подчеркнули важность индивидуального подбора и стратегий интеграции МФП для различных климатических условий.

Ўзбек

Annotatsiya: Kirish. Ushbu sharhda binolarning tashqi devorlariga faza o‘zgarish materiallarini (FOM) integratsiya qilish uchun matematik modellarning 2013 yildan 2020 yilgacha bo‘lgan davrda energiya samaradorligi va issiqlik qulayligini oshirishga qaratilgan tahlili ko‘rib chiqiladi. Turli modellashtirish strategiyalari, optimallashtirish usullari va eksperimental validatsiya yondashuvlari baholandi, asosiy parametrlar sifatida FOM qatlami qalinligi, joylashuvi va erish harorati aniqlab olindi. Tadqiqotda parametrik tahlillar, metamodel yaratish texnikalari, ko‘p maqsadli optimallashtirish tizimlari va innovatsion ishlash ko‘rsatkichlari kabi sezilarli yutuqlar aniqlangan. Natijalar shuni ko‘rsatadiki, FOM integratsiyasi isitish va sovutish yuklarini sezilarli darajada kamaytiradi, bino ichidagi harorat barqarorligini optimallashtiradi va umumiy energiya samaradorligini oshiradi. Olingan natijalar FOM qo‘llashning salohiyati va qiyinchiliklarini ta’kidlaydi hamda qo‘shimcha iqtisodiy tahlillar va takomillashtirilgan hisoblash modellari zarurligini ta’kidlaydi.

Metod va materiallar: Tadqiqotda 2013–2020 yillar oralig‘ida chop etilgan, binolarning tashqi devorlariga FOM integratsiyasi bilan bog‘liq 29 ta ilmiy maqola ko‘rib chiqildi. Metodologiyalar parametrik tadqiqotlarni batafsil tahlil qilish, simulyatsiyaga asoslangan optimallashtirish (masalan, EnergyPlus, GenOpt, NSGA-II algoritmlari), metamodel yaratish usullari va eksperimental tekshiruvlarni o‘z ichiga oldi. Asosiy o‘zgaruvchilar sifatida FOM ning termofizik xossalari, qatlam qalinligi va joylashuvi hamda iqlim sharoitlari ko‘rib chiqildi.

Natijalar: Ko‘rib chiqilgan tadqiqotlar FOM ning ichki haroratni barqarorlashtirish, energiya sarfini kamaytirish va issiqlik qulayligini yaxshilashdagi samaradorligini izchil ko‘rsatdi. Xususan, optimallashtirilgan FOM paneli bilan isitish energiyasi xarajatlarining 23% gacha kamayishi, tropik iqlim sharoitida sovutish yuklarining sezilarli pasayishi va yil davomida termik ko‘rsatkichlarning yaxshilanishi qayd etildi. Innovatsion ko‘rsatkichlar (RDA va TRA) FOM samaradorligini baholash uchun yangi yondashuvlarni taklif qildi. Shu bilan birga, natijalar FOM ning xatti-harakatini aniq modellashtirishdagi murakkabliklarni ko‘rsatdi va turli iqlim sharoitlariga mos FOM ni tanlash va integratsiya qilish strategiyalarining ahamiyatini ta’kidladi.

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