2020
DOI: 10.30464/jmee.2020.4.2.179
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Thermal - electrical analogy in dynamic simulations of buildings: Comparison of four numerical solution methods

Abstract: The lumped capacitance method is widely used in dynamic modelling of buildings. Models differ in complexity, solution methods and ability to simulate transient behaviour of described objects. The paper presents a mathematical description of a simple 1R1C thermal network model of a building zone. Four numerical methods were applied to solve differential equation describing its dynamics. For validation purposes two test cases (600 and 900) from the BESTEST procedure were used. In both cases detailed results were… Show more

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Cited by 4 publications
(2 citation statements)
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“…As a result, the hourly sensible heating or cooling power required to maintain a certain set-point indoor air or indoor operative temperature, ϕ HC , is obtained. This procedure has been presented recently [58,66,67]. Each time step begins with the calculation of heat fluxes due to internal sources (ϕ int ) and solar irradiance (ϕ sol ), which are divided into three components: ϕ ia , ϕ st , and ϕ m , connected to the indoor air, central, and thermal mass temperature nodes, respectively.…”
Section: The 5r1c Modelmentioning
confidence: 99%
“…As a result, the hourly sensible heating or cooling power required to maintain a certain set-point indoor air or indoor operative temperature, ϕ HC , is obtained. This procedure has been presented recently [58,66,67]. Each time step begins with the calculation of heat fluxes due to internal sources (ϕ int ) and solar irradiance (ϕ sol ), which are divided into three components: ϕ ia , ϕ st , and ϕ m , connected to the indoor air, central, and thermal mass temperature nodes, respectively.…”
Section: The 5r1c Modelmentioning
confidence: 99%
“…That procedure also has been presented recently in detail in various applications by several authors [85,86]. It can be easily implemented in a spreadsheet [87][88][89][90][91][92], which makes it very flexible.…”
Section: The 5r1c Modelmentioning
confidence: 99%