ESTIMATION OF CONTINUOUS-TIME MODELS FOR THE HEAT DYNAMICS OF A BUILDING

被引:190
作者
MADSEN, H
HOLST, J
机构
[1] Institute of Mathematical Modelling, The Technical University of Denmak, Lyngby
[2] Department of Mathematical Statistics, Lund Institute of Technology, Lund
关键词
HEAT DYNAMICS; CONTINUOUS-TIME MODELS; RESIDENTIAL BUILDINGS;
D O I
10.1016/0378-7788(94)00904-X
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
This paper describes a method for estimation of continuous-time models for the heat dynamics of buildings based on discrete-time building performance data. The parameters in the continuous-time model are estimated by the maximum likelihood method where a Kalman filter is used in calculating the likelihood function. The modeling procedure is illustrated by using measurements from an experiment where the heat input from electrical heaters is controlled by a pseudorandom binary signal. For the considered building a rather simple model containing two time constants is found adequate. Owing to the continuous-time formulation the parameters of the model are directly physically interpretable. The performance of the model for both forecasting and simulation is illustrated.
引用
收藏
页码:67 / 79
页数:13
相关论文
共 28 条
[1]  
Kusuda, Tsuchiya, Powell, Prediction of indoor temperature by using equivalent thermal mass response factors, Proc. 5th Symp. of Temperature, (1971)
[2]  
Letherman, Paling, Park, The measurement of dynamic thermal response in rooms using pseudo-random binary sequences, Build. Environ., 17, 1, (1982)
[3]  
Troelsgard, Statistical determination of dynamical models for variations in room temperature, Proc. 3rd Int. Symp. Energy Conservation in the Built Environment, pp. 4.119-4.130, (1982)
[4]  
Crawford, Woods, A method for deriving a dynamic system model from actual building performance data, ASHRAE Trans., 91, (1985)
[5]  
Hammarsten, Estimation of Energy Balances for Houses, (1984)
[6]  
Subbarao, BEVA (building element vector analysis), Rep. TR 254–2195, (1984)
[7]  
Rabl, Parameter estimation in buildings: methods for dynamic analysis of measured energy use, J. Solar Energy Eng., 110, pp. 52-66, (1988)
[8]  
Hammarsten, van Hattem, Bloem, Colombo, Passive solar component testing with identification methods, Solar Energy, 41, 1, pp. 5-13, (1988)
[9]  
Cools, Gicquel, The PASSYS Project, Final Reports Phase 1, 1986–1989, (1989)
[10]  
Nielsen, Nielsen, A dynamic test method for the thermal performance of small houses, Proc. ACEEE Conf., (1984)