Linearization of a heat-transfer system model with approximation of transport time delay

A. A. Shilin, V. G. Bukreev

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


A method is proposed for linearizing the nonlinear model of a heat-transfer facility the state variables of which at equilibrium points are determined by numerically solving the initial bilinear system of differential equations for a stationary position of the control valve equipped with a constant-speed electric drive. The considerable transport time delay resulting from the distributed design of the heat-transfer system secondary circuit is approximated by a limited number of first-order inertial sections for obtaining a mathematical model in the Cauchy form. The proposed linearization method is tested on an operating hot-water supply heat-transfer system, and the study results are presented in the form of transient curves.

Original languageEnglish
Pages (from-to)741-746
Number of pages6
JournalThermal Engineering (English translation of Teploenergetika)
Issue number10
Publication statusPublished - 1 Oct 2014


  • heat-transfer systems
  • linearization of nonlinear models
  • three-position relay control
  • transport time delay

ASJC Scopus subject areas

  • Nuclear Energy and Engineering
  • Energy Engineering and Power Technology

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