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 language | English |
|---|---|
| Pages (from-to) | 741-746 |
| Number of pages | 6 |
| Journal | Thermal Engineering (English translation of Teploenergetika) |
| Volume | 61 |
| Issue number | 10 |
| DOIs | |
| Publication status | Published - 1 Oct 2014 |
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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 journal › Article
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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
AN - SCOPUS:84927630437
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 -