A mathematical model of the room temperature dynamic response in multi-zone buildings

¹ School of Civil engineering and Architecture, Zhejiang Sci-Tech University, Hangzhou, China
² Department of Occupational and Environmental Health Sciences, School of Public Health, Peking University, Beijing, China

^* Corresponding author: shhuang@bjmu.edu.cn

Abstract

There are many factors that affect the change of room temperature, especially outdoor environmental factors, which makes it difficult to establish a model to describe the dynamic changes of the real time room temperature. In response to this problem, this study proposes a RC network two-node wall structure method to describe and analyze the heat conduction process of the building envelope. With this method, we first divide building envelope such as walls and floors into two-story structures, and then use energy balance theory to establish the energy balance equation of each node. Finally, we obtained the dynamic response equations of room temperature and humidity in each room of the whole building. This method simplifies the complex heat transfer process of the building envelope to a simple mathematical problem. The experimental validation indicated the accuracy of the proposed model.