Abstract
Consideration was given to the methods of mathematical modeling as applied to the decision support system of urban heat supply control. They are directed to calculations in branched heat networks and rely on the Newton-Hauss-Seidel composite iterative process as applied to the hydrodynamic equations.
Similar content being viewed by others
References
Grebenyuk, G.G. and Krygin, A.A., Algorithmization of Solution of the Problems of Control of Heat Networks in Emergencies, Datchiki i Sistemy, 2004, no. 10, pp. 46–51.
Grebenyuk, G.G. and Nikishov, S.M., Problems of Integration of Computer-aided Information Systems in a Nonuniform Program-Technical Medium, Datchiki i Sistemy, 2003, no. 11, pp. 5–11.
Antonov, A.V., Grebenyuk, G.G., Krygin, A.A., and Lubkov, N.V., Technical Accounting in the Informatization System of the Organs of Sectorial Management of the Municipal Economy, in XII All-Russian Conf. “Municipal Geoinformation Systems (MGIS’2005),” Obninsk, 2005.
Dorri, M.Kh., Kochemasov, A.V., and Roshchin, A.A., Avtomatizatsiya proektirovaniya sistem i sredstv upravleniya. Paket “Ekspress-Radius 2.1” (uch. pos.) (Computer-aided Design of Control Systems and Facilities. “Express-Radius 2.1” Package (Tutorial)), Moscow: MIREA, 2000.
Leleev, N.S., Neustanovivsheesya dvizhenie teplonositelya v obogrevaemykh trubakh moshchnykh parogeneratorov (Unsteady Motion of Heat Carrier in the Heated Pipes of Powerful Steam Generators), Moscow: Energiya, 1978.
Godunov, S.K. and Ryaben’kii, I.S., Raznostnye skhemy (vvedenie v teoriyu) (Difference Schemes (Introduction to the Theory)), Moscow: Nauka, 1973.
Richtmyer, R.D. and Morton, K.W., Difference Methods for Initial-value Problems, Malabar: Krieger, 1994. Translated under the title Raznostnye metody resheniya kraevykh zadach, Moscow: Mir, 1972.
Brenin, F., Methods of Computer-assisted Analysis of Circuits, Proc. IEEE, 1967, vol. 55, no. 11, pp. 16–31.
Bernshtein, S.I. and Grebenyuk, G.G., A Method of Computer-assisted Modeling of the Heat-hydrodynamic Circuits, VIII All-Union Conf. on Control Problems, Tallin, 1980.
Ortega, J.M. and Reinboldt, W.C., Iterative Solution of Nonlinear Equations in Several Variables, San Diego: Academic, 1970. Translated under the title Iteratsionnye metody resheniya nelineinykh sistem uravnenii so mnogimi neizvestnymi, Moscow: Mir, 1975.
Grebenyuk, G.G. and Dorri, M.Kh., A Technique of Formalized Description of the Electrical Circuits, Elektrichestvo, 1976, no. 8, pp. 70, 71.
Fadeev, D.K. and Fadeeva, V.N., Vychislitel’nye metody lineinoi algebry (Computational Methods of Linear Algebra), Moscow: Fizmatgiz, 1963.
Grebenyuk, G.G. and Dorri, M.Kh., Studying Dynamic Processes in the Nuclear Power Plants under Worsened Heat Exchange, Atomnaya Energiya, 1979, no. 5, pp. 320–324.
Grebenyuk, G.G., Nikishov, S.M., and Kotlyarov, V.V., On a Method of Controlling Water Flow in Steam Generators, Teploenergetika, 1982, no. 12, pp. 34–36.
Author information
Authors and Affiliations
Additional information
Original Russian Text © G.G. Grebenyuk, 2006, published in Avtomatika i Telemekhanika, 2006, No. 5, pp. 142–150.
Rights and permissions
About this article
Cite this article
Grebenyuk, G.G. Mathematical modeling as a decision tool in the control of urban heat supply. Autom Remote Control 67, 805–812 (2006). https://doi.org/10.1134/S0005117906050122
Received:
Issue Date:
DOI: https://doi.org/10.1134/S0005117906050122