An improvement to frequency-domain regression method for calculating conduction transfer functions of building walls

An improvement is proposed for the frequency-domain regression (FDR) method to calculate CTF (conduction transfer function) coefficients of multilayer constructions. This improvement aims at providing complete CTF coefficients with a unique set of d values. In the improvement, the external and internal polynomial s-transfer functions of heat conduction of a wall are identified based on equivalent frequency response characteristics by constraining their denominators equal to that of the cross polynomial s-transfer function while this cross polynomial s-transfer function of this wall is identified using FDR method in advance. The complete CTF coefficients of this wall (i.e., external CTF values a, cross CTF values b, internal CTF values c and a unique set of heat flow rate history coefficients d) can be easily calculated from these identified polynomial s-transfer functions. Examples and comparisons show that this improvement of the frequency-domain regression method works well.

[1]  Claudio Rochas,et al.  Solar Energy Laboratory , 2006 .

[2]  Vice President,et al.  AMERICAN SOCIETY OF HEATING, REFRIGERATION AND AIR CONDITIONING ENGINEERS INC. , 2007 .

[3]  Youming Chen,et al.  A novel and simple building load calculation model for building and system dynamic simulation , 2001 .

[4]  Youming Chen,et al.  Response to comments on “Calculation of wall conduction transfer coefficients by regression in the frequency domain” , 2004 .

[5]  Jeffrey D. Spitler,et al.  Verification for transient heat conduction calculation of multilayer building constructions , 2006 .

[6]  Shengwei Wang,et al.  Transient heat flow calculation for multilayer constructions using a frequency-domain regression method , 2003 .

[7]  John E. Seem.  Modeling of Heat Transfer in Buildings , 1987 .

[8]  Fariborz Haghighat,et al.  A procedure for calculating thermal response factors of multi-layer walls—State space method , 1991 .

[9]  Morris Grenfell Davies.  Calculation of wall conduction transfer coefficients by regression in the frequency domain. , 2004 .

[10]  Youming Chen,et al.  A simple procedure for calculating thermal response factors and conduction transfer functions of multilayer walls , 2002 .

[11]  Drury B. Crawley,et al.  EnergyPlus: Energy simulation program , 2000 .

[12]  G. E. Myers,et al.  Long-Time Solutions to Heat-Conduction Transients with Time-Dependent Inputs , 1980 .

[13]  Morris Grenfell Davies,et al.  WALL TRANSIENT HEAT FLOW USING TIME-DOMAIN ANALYSIS , 1997 .

[14]  Shengwei Wang,et al.  A new procedure for calculating periodic response factors based on frequency domain regression method , 2005 .