Modelling of Heat Flux in Building Using Soft-Computing Techniques

Improving the detection of thermal insulation failures in buildings includes the development of models for heating process and fabric gain -heat flux through exterior walls in the building-. Thermal insulation standards are now contractual obligations in new buildings, the energy efficiency in the case of buildings constructed before the regulations adopted is still an open issue, and the assumption is that it will be based on heat flux and conductivity measurement. A three-step procedure is proposed in this study that begins by considering the local building and heating system regulations as well as the specific features of the climate zone. Firstly, the dynamic thermal performance of different variables is specifically modeled. Secondly, an exploratory projection pursuit method called Cooperative Maximum-Likelihood Hebbian Learning is used to extract the relevant features. Finally, a supervised neural model and identification techniques are applied, in order to detect the heat flux through exterior walls in the building. The reliability of the proposed method is validated for a winter zone, associated to several cities in Spain.

[1]  Babak Hassibi,et al.  Second Order Derivatives for Network Pruning: Optimal Brain Surgeon , 1992, NIPS.

[2]  H. Sebastian Seung,et al.  The Rectified Gaussian Distribution , 1997, NIPS.

[3]  George Cybenko,et al.  Approximation by superpositions of a sigmoidal function , 1989, Math. Control. Signals Syst..

[4]  Kurt Hornik,et al.  Multilayer feedforward networks are universal approximators , 1989, Neural Networks.

[5]  Petre Stoica,et al.  Decentralized Control , 2018, The Control Systems Handbook.

[6]  José Ramón Villar,et al.  A Thermodynamical Model Study for an Energy Saving Algorithm , 2009, HAIS.

[7]  Lars Kai Hansen Controlled Growth of Cascade Correlation Nets , 1994 .

[8]  Emilio Corchado,et al.  Maximum likelihood Hebbian rules , 2002, ESANN.

[9]  Lennart Ljung,et al.  System Identification: Theory for the User , 1987 .

[10]  Emilio Corchado,et al.  Maximum and Minimum Likelihood Hebbian Learning for Exploratory Projection Pursuit , 2002, ICANN.

[11]  Stelios D. Bekiros,et al.  Evaluating Direction-of-Change Forecasting: Neurofuzzy Models vs. Neural Networks , 2005, Math. Comput. Model..

[12]  Franklin A. Graybill,et al.  Introduction to The theory , 1974 .

[13]  Emilio Corchado,et al.  Maximum and Minimum Likelihood Hebbian Learning for Exploratory Projection Pursuit , 2002, Data Mining and Knowledge Discovery.

[14]  Karl Pearson F.R.S. LIII. On lines and planes of closest fit to systems of points in space , 1901 .

[15]  Xiangdong He,et al.  A New Method for Identifying Orders of Input-Output Models for Nonlinear Dynamic Systems , 1993, 1993 American Control Conference.

[16]  Madan M. Gupta,et al.  On the principles of fuzzy neural networks , 1994 .

[17]  Emilio Corchado,et al.  Connectionist Techniques For The Identification And Suppression Of Interfering Underlying Factors , 2003, Int. J. Pattern Recognit. Artif. Intell..

[18]  Donald Kneale Alexander,et al.  HTB2: A flexible model for dynamic building simulation , 1990 .

[19]  H. Akaike Fitting autoregressive models for prediction , 1969 .

[20]  O. Nelles Nonlinear System Identification: From Classical Approaches to Neural Networks and Fuzzy Models , 2000 .

[21]  Ying Han,et al.  Structuring global responses of local filters using lateral connections , 2003, J. Exp. Theor. Artif. Intell..

[22]  R. Fletcher Practical Methods of Optimization , 1988 .

[23]  H. Hotelling Analysis of a complex of statistical variables into principal components. , 1933 .

[24]  John W. Tukey,et al.  A Projection Pursuit Algorithm for Exploratory Data Analysis , 1974, IEEE Transactions on Computers.

[25]  José Ramón Villar,et al.  Minimizing Energy Consumption in Heating Systems under Uncertainty , 2008, HAIS.

[26]  J. Sjöberg Neural networks for modelling and control of dynamic systems: M. Nørgaard, O. Ravn, N. K. Poulsen and L. K. Hansen. Springer-Verlag, London Berlin Heidelberg, 2000, pp. xiv+246 , 2004 .