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

Abstract

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.