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

A. A. Shilin, V. G. Bukreev

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

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)
Volume61
Issue number10
DOIs
Publication statusPublished - 1 Oct 2014

Fingerprint

Linearization
Time delay
Heat transfer
Electric drives
Water supply
Differential equations
Mathematical models
Networks (circuits)

Keywords

  • 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

Cite this

Linearization of a heat-transfer system model with approximation of transport time delay. / Shilin, A. A.; Bukreev, V. G.

In: Thermal Engineering (English translation of Teploenergetika), Vol. 61, No. 10, 01.10.2014, p. 741-746.

Research output: Contribution to journalArticle

@article{c61e317a76014bcba3bd68556ed1f65d,
title = "Linearization of a heat-transfer system model with approximation of transport time delay",
abstract = "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.",
keywords = "heat-transfer systems, linearization of nonlinear models, three-position relay control, transport time delay",
author = "Shilin, {A. A.} and Bukreev, {V. G.}",
year = "2014",
month = "10",
day = "1",
doi = "10.1134/S0040601514100115",
language = "English",
volume = "61",
pages = "741--746",
journal = "Thermal Engineering (English translation of Teploenergetika)",
issn = "0040-6015",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "10",

}

TY - JOUR

T1 - Linearization of a heat-transfer system model with approximation of transport time delay

AU - Shilin, A. A.

AU - Bukreev, V. G.

PY - 2014/10/1

Y1 - 2014/10/1

N2 - 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.

AB - 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.

KW - heat-transfer systems

KW - linearization of nonlinear models

KW - three-position relay control

KW - transport time delay

UR - http://www.scopus.com/inward/record.url?scp=84927630437&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84927630437&partnerID=8YFLogxK

U2 - 10.1134/S0040601514100115

DO - 10.1134/S0040601514100115

M3 - Article

VL - 61

SP - 741

EP - 746

JO - Thermal Engineering (English translation of Teploenergetika)

JF - Thermal Engineering (English translation of Teploenergetika)

SN - 0040-6015

IS - 10

ER -