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Mathematical Model of Heat Exchange for Non-stationary Mode of Water Heater

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 938))

Abstract

The dynamical model of heat exchange for a water heater with lumped parameters, which can be used for synthesis of control systems by inflowing-exhaust ventilation installations, or industrial complexes of artificial microclimate, is considered. A mathematical description that represents the dynamical properties of a water heater concerning the main channels of regulation and perturbation is presented. Numerical simulation of transient processes for the VEZA VNV 243.1 heater according to the influence channels was carried out. The resulting dynamical model of a water heater can be the basis for the synthesis of automatic control systems and simulation of transients. A significant advantage of a mathematical model in the state space is the possibility of synthesis and analysis of a multidimensional control system.

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References

  1. Tkachov, V., Gruhler, G., Zaslavski, A., Bublikov, A., Protsenko, S.: Development of the algorithm for the automated synchronization of energy consumption by electric heaters under condition of limited energy resource. Eastern Eur. J. Enterp. Technol. 8(92), 51–61 (2018)

    Google Scholar 

  2. Vychuzhanin, V.V.: Mathematical models of non-stationary modes of air processing in the central ACS. Bull. Odessa Natl. Marit. Univ. 23, 172–185 (2007)

    Google Scholar 

  3. Golinko, I.M.: Non-stationary model of heat and mass transfer for a water cooler. In: 12th International Scientific and Practical Conference “Modern Problems of Scientific Support of Power Engineering”, Kyiv, Ukrainian, p. 137 (2014)

    Google Scholar 

  4. Golinko, I.M., Kubrak, N.A.: Modeling and optimization of control systems. Ruta, Kamyanets-Podilskii, Ukrainian (2012)

    Google Scholar 

  5. Golinko, I.M., Ladanuk, A.P., Koshelieva, L.D.: Dynamic model of the heat mode of the calorifier. Inf. Technol. Comput. Eng. 3(16), 59–63 (2009)

    Google Scholar 

  6. Singhal, P., Agarwal, S.K., Kumar, N.: Advanced adaptive particle swarm optimization based SVC controller for power system stability. Int. J. Intell. Syst. Appl. (IJISA) 7(1), 101–110 (2015). https://doi.org/10.5815/ijisa.2015.01.10

    Article  Google Scholar 

  7. Puangdownreong, D.: Multiobjective multipath adaptive tabu search for optimal PID controller design. Int. J. Intell. Syst. Appl. (IJISA) 7(8), 51–58 (2015). https://doi.org/10.5815/ijisa.2015.08.07

    Article  Google Scholar 

  8. Misra, Y., Kamath, H.R.: Design algorithm and performance analysis of conventional and fuzzy controller for maintaining the cane level during sugar making process. Int. J. Intell. Syst. Appl. (IJISA) 7(1), 80–93 (2015). https://doi.org/10.5815/ijisa.2015.01.08

    Article  Google Scholar 

  9. Yazdanpanah, A., Piltan, F., Roshanzamir, A., Mirshekari, M., Mozafari, N.G.: Design PID baseline fuzzy tuning proportional-derivative coefficient nonlinear controller with application to continuum robot. Int. J. Intell. Syst. Appl. (IJISA) 6(5), 90–100 (2014). https://doi.org/10.5815/ijisa.2014.05.10

    Article  Google Scholar 

  10. Soukkou, A., Belhour, M.C., Leulmi, S.: Review, design, optimization and stability analysis of fractional-order PID controller. Int. J. Intell. Syst. Appl. (IJISA) 8(7), 73–96 (2016). https://doi.org/10.5815/ijisa.2016.07.08

    Article  Google Scholar 

  11. Lakshmi, K.V., Srinivas, P., Ramesh, C.: Comparative analysis of ANN based intelligent controllers for three tank system. Int. J. Intell. Syst. Appl. (IJISA) 8(3), 34–41 (2016). https://doi.org/10.5815/ijisa.2016.03.04

    Article  Google Scholar 

  12. Nikolaeva, K.A., Golinko, I.M.: Dynamic model of a heater in the state space. In: 14th International Scientific and Practical Conference “Modern Problems of Scientific Support of Power Engineering”, Kyiv, Ukrainian, p. 28 (2016)

    Google Scholar 

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Correspondence to Iryna Galytska .

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Golinko, I., Galytska, I. (2020). Mathematical Model of Heat Exchange for Non-stationary Mode of Water Heater. In: Hu, Z., Petoukhov, S., Dychka, I., He, M. (eds) Advances in Computer Science for Engineering and Education II. ICCSEEA 2019. Advances in Intelligent Systems and Computing, vol 938. Springer, Cham. https://doi.org/10.1007/978-3-030-16621-2_6

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