Open Access Open Access  Restricted Access Subscription Access


Viktor Sidletskyi


Approaches to the control of steam boilers are analyzed in the article. It is recommended to use the method of tensor analysis for identification of the current state of the heat-energy process for conducting regulating action. It is suggested that the vectors of the input and output variables of the technological process with a tensor are to be connected, which for orthonormal systems adopts a diagonal form that facilitates the calculation of regulating actions. This article presents the results of simulation when traditional methods of calculating the coefficients of the regulator are used and the calculation of the regulating action using a tensor model. The use of such a technique allows conducting the necessary regulating actions taking into account the operation of the individual apparatus. So, its operation is coordinated as a structural unit in the technological line in case of occurrence of deviations and transients.


control system; orthogonal basis; tensor; steam boiler.

Full Text:



O.I. Levchenko, V.M. Sidletskyi, Fundamentals of Heat and Power Processes and Installations Automation, Teaching: Manual, National University of Food Technologies, Kyiv, 2014, 227 pp. ISBN 978-966-612-153-3. (in Ukrainian)

F.I. Lukhtura, A.V. Pyzhikov, and O.A. Khliestova, “On some methods of increasing thermal efficiency and reliability of industrial CHPs,” Transactions of the Priazovskyi State Technical University. Section: Technical sciences, no. 36, pp. 88–100, Sep. 2018. (in Russian)

R.-P. Nikula, M. Ruusunen, and K. Leiviskä, “Data-driven framework for boiler performance monitoring,” Applied Energy, vol. 183, pp. 1374–1388, Dec. 2016.

W. Wang, L. Li, D. Long, J. Liu, D. Zeng, and C. Cui, “Improved boiler-turbine coordinated control of 1000 MW power units by introducing condensate throttling,” Journal of Process Control, vol. 50, pp. 11–18, Feb. 2017.

H. Wang, R. Lahdelma, X. Wang, W. Jiao, C. Zhu, and P. Zou, “Analysis of the location for peak heating in CHP based combined district heating systems,” Applied Thermal Engineering, vol. 87, pp. 402–411, Aug. 2015.

G. Ahmadi, D. Toghraie, and O.A. Akbari, “Technical and environmental analysis of repowering the existing CHP system in a petrochemical plant: A case study,” Energy, vol. 159, pp. 937–949, Sep. 2018.

G. Weinberger, B. Moshfegh, “Investigating influential techno-economic factors for combined heat and power production using optimization and metamodeling,” Applied Energy, vol. 232, pp. 555–571, Dec. 2018.

S.-Y. Choi, K.-Y. Yoo, J.-B. Lee, C. B. Shin, and M.-J. Park, “Mathematical modeling and control of thermal plant in the district heating system of Korea,” Applied Thermal Engineering, vol. 30, no. 14–15, pp. 2067–2072, Oct. 2010.

Y. Skakovsky, A. Babkov, and E. Mandro, “Efficiency improvement for sugar plant boiler department work based on boiler units optimal loads distribution,” Automation of Technological and Business Processes, vol. 9, no. 3, pp. 24-33, Nov. 2017.

D. Strušnik, M. Golob, and J. Avsec, “Artificial neural networking model for the prediction of high efficiency boiler steam generation and distribution,” Simulation Modelling Practice and Theory, vol. 57, pp. 58–70, Sep. 2015.

S. Seijo, I. del Campo, J. Echanobe, and J. García-Sedano, “Modeling and multi-objective optimization of a complex CHP process,” Applied Energy, vol. 161, pp. 309–319, Jan. 2016.

I.V. Elperin, O.M. Pupen, V.M. Sidletskyi, S.M. Shved, Automation of Production Processes: Textbook, Kyiv: Publishing House, Lyra-K, 2015, 378 p. (in Ukrainian)

P. Terán, “On consistency of stationary points of stochastic optimization problems in a Banach space,” Journal of Mathematical Analysis and Applications, vol. 363, no. 2, pp. 569–578, Mar. 2010.

V.M. Sidletskyi, I.V. Elperin, V.V. Polupan, “Analysis of non-measuring parameters at the level of distributed control for the automated system, objects and complexes of the food industry,” Transactions of the National University of Food Technologies, vol. 22, no. 3, pp. 7-15, Mar 2017. [Online]. Available: (in Ukrainian)

A. Cichocki, R. Zdunek, A.-H Phan., S.-I. Amari, Nonnegative Matrix and Tensor Factorizations: Applications to Exploratory Multi-way Data Analysis and Blind Source Separation, J. Wiley & Sons, Chichester, 2009, 512 p.

M.C. Renhe, M.B. Vieira, and C. Esperança, “A stable tensor-based method for controlled fluid simulations,” Applied Mathematics and Computation, vol. 343, pp. 195–213, Feb. 2019.

S. Aja-Fernández, R. de Luis García, D. Tao, X. Li (eds.), Tensors in Image Processing and Computer Vision, London: Springer, 2009, 470 p.

L. Qi, C. Xu, and Y. Xu, “Nonnegative tensor factorization, completely positive tensors, and a hierarchical elimination algorithm,” SIAM Journal on Matrix Analysis and Applications, vol. 35, no. 4, pp. 1227–1241, Jan. 2014.

I.Y. Zubko, “Computation of elastic moduli of graphene monolayer in nonsymmetric formulation using energy-based approach,” Physical Mesomechanics, vol. 19, no. 1, pp. 93–106, Jan. 2016.

Y.-C. Hu, T.-L. Li, C.-S. Fan, D.-Y. Wang, and J.-P. Li, “Three-dimensional tensor controlled-source electromagnetic modeling based on the vector finite-element method,” Applied Geophysics, vol. 12, no. 1, pp. 35–46, Mar. 2015.

S. Kuntanapreeda, “Control of shimmy vibration in aircraft landing gears based on tensor product model transformation and twisting sliding mode algorithm,” MATEC Web of Conferences, vol. 161, pp. 02001, 2018.

V.M. Sidletskyi, I.V. Elperin, “Expansion of the functional capabilities of automated control systems of technological objects,” Scientific Journal “Engineering and Energy” (Scientific Bulletin of NUBiP of Ukraine, Series: Engineering and Power Engineering of the Agroindustrial Complex), no. 256, pp. 113-121, Mar 2017. [Online]. Available: (in Ukrainian)

I.Yu. Zubko, N.D. Nyashina, Mathematical Modeling: Discrete Approaches and Numerical Methods: studies. Allowance, Perm: Publishing House of Perm National Researches Polytechnic University, 2012, 365 p. (in Russian)


  • There are currently no refbacks.