An LC-Circuit Model for Dynamics of In-Building Heat Transfer across Atrium Space

4th Asia Conference of International Building Performance Simulation Association

土木建筑工程

Masaki, I.^1 ; Susuki, Y.^1 ; Mezic, I.^2 ; Ishigame, A.^1

Department of Electrical and Information Systems, Osaka Prefecture University, 1-1 Gakuen-cho, Naka-ku, Sakai

599-8531, Japan^1

Department of Mechanical and Mathematics, University of California, Santa Barbara

CA

93106, United States^2

关键词: Circuit modeling;    Circuit parameter;    Equivalent electric circuits;    Koopman mode decompositions;    Lc circuit models;    Measurement data;    Second-order equation;    Traditional models;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/238/1/012012/pdf
DOI  :  10.1088/1755-1315/238/1/012012

学科分类：土木及结构工程学

来源: IOP

【 摘 要 】

We develop a novel mathematical model to represent the dynamics of heat transfer across atrium space, that is, a large open space inside a building. This modeling is established by a combination of an equivalent electric-circuit equation of thermal mass and measurement data. A novel point of it is to introduce not only resistance and capacitance but also inductance to the circuit model, which is different from traditional models of thermal mass and induces the second-order equation of heat balance. We propose to use the so-called Koopman mode decomposition to estimate the values of circuit parameters from measublack time-series data. Effectiveness of the circuit model is established with a numerical simulation incorporated with geometry, structure, and time-series data on a practically-used building in Japan.