Calculating method for the conduction z-transfer functions of multilayer walls based on system identification

You Ming Chen, Juan Zhou, Shengwei Wang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

2 Citations (Scopus)


Frequency domain regression (FDR) method was developed to calculate z-transfer functions of multilayer walls. This method is based on the theoretical frequency characteristics of transient heat conduction through a multiplayer wall to estimate a simple polynomial s-transfer function. The simple polynomial s-transfer function is equivalent to the hyperbolic s-transfer function of the wall in terms of frequency characteristics. First, the frequency characteristics of transient heat conduction of the wall were calculated within the frequency range concerned. Then, a set of linear equations was solved to yield a simple polynomial s-transfer function for internal, cross and external heat conduction. Finally, z-transfer functions were obtained by applying z-transforms on the time-domain response of the polynomial z-transfer function. The comparisons and validations show that this method is simple, efficient, fast and accurate.
Original languageChinese (Simplified)
Pages (from-to)82-87
Number of pages6
JournalHunan Daxue Xuebao/Journal of Hunan University Natural Sciences
Issue number5
Publication statusPublished - 1 Oct 2004


  • FDR method
  • Heat conduction
  • Multilayer wall
  • System identification
  • Z-transfer-function

ASJC Scopus subject areas

  • General

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