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

[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.

[发布机构] 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

[学科分类] 土木及结构工程学

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