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Simplifying the model of a complex heat-transfer system for solving the relay control problem

  • Automation and Heat Control in Power Engineering
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Abstract

A method for approximating the high-dimensionality model of a complex heat-transfer system with time delay by a nonlinear second-order differential equation is proposed. The modeling results confirming adequacy of the nonlinear properties of the reduced and initial models and their correspondence to the controlled plant actual data are presented.

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References

  1. A. S. Klyuev and A. A. Kolesnikov, Optimization of Automatic Control Systems in Response Speed (Energoizdat, Moscow, 1982) [in Russian].

    Google Scholar 

  2. H. K. Khalil, Nonlinear Systems (Prentice Hall, New Jersey, 2002; NITs Regul. Khaot. Din., Izhevsk, 2009).

    MATH  Google Scholar 

  3. A. A. Shilin and V. G. Bukreev, “Studying a three-position relay temperature controller in a sliding mode of its operation,” Dokl. Tomsk Univ. Sist. Upr., No. 1, 251–257 (2012), Part 2.

    Google Scholar 

  4. A. A. Shilin, V. G. Bukreev, and K. I. Koikov, “The mathematical model of a nonlinear system with time delay,” Prib. Sist. Upr., Kontr., Diagn., No. 6, 3–10 (2013).

    Google Scholar 

  5. A. A. Shilin and V. G. Bukreev, “A nonlinear mathematical model of heat consumption taking into account the characteristics of heat supply station elements,” Nauchn. Vestn. NGTU, No. 2 (47), 107–114 (2012).

    Google Scholar 

  6. N. P. Buslenko, Modeling of Complex Systems (Nauka, Moscow, 1978) [in Russian].

    Google Scholar 

  7. M. A. Pan’ko, “Selecting the mathematical models of a controlled piece of equipment from experimental data,” Therm. Eng. 53(10), 782 (2006).

    Article  Google Scholar 

  8. A. A. Shilin, “Decomposition of a nonlinear heat-transfer system with time delay (materials for the article)” [an electronic resource], http://portal.tpu.ru/SHARED/s/SHILIN/tethiss/Tab4.

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Authors and Affiliations

  1. National Tomsk Research Polytechnic University, pr. Lenina 30, Tomsk, 634050, Russia

    A. A. Shilin & V. G. Bukreev

Authors
  1. A. A. Shilin
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  2. V. G. Bukreev
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Corresponding author

Correspondence to V. G. Bukreev.

Additional information

Original Russian Text © A.A. Shilin, V.G. Bukreev, 2014, published in Teploenergetika.

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Shilin, A.A., Bukreev, V.G. Simplifying the model of a complex heat-transfer system for solving the relay control problem. Therm. Eng. 61, 671–678 (2014). https://doi.org/10.1134/S0040601514080126

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  • DOI: https://doi.org/10.1134/S0040601514080126

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