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In this work we propose a new mathematical model and method of optimal stochastic control of the modes of operation of the sewage pumping station for three-band tariff for the electricity, the implementation of which provides a significant reduction of financial expenses of the electricity for pumping waste water. The proposed model and method Take into account the stochastic properties of the object of control and environment most adequately. The mathematical formulation of the problem of optimal stochastic control with extreme and probabilistic constraints on the phase variables and efficient algorithm to solve it is presented. The proposed method of optimal stochastic control provides minimum of the mathematical expectation of the volumes of pumped waste water at the time interval with a high electricity tariff and maximum of the mathematical expectation of the volumes of pumped waste water at the time interval with a minimal tariff when all technological limitations are accomplished.
Czasopismo
Rocznik
Tom
Strony
47--55
Opis fizyczny
Bibliogr. 27 poz., rys., tab., wz.
Twórcy
autor
- Kharkiv National University of Radio Electronics;
autor
- ME «Kharkovvodokanal
autor
- Kharkiv National University of Radio Electronics
Bibliografia
- 1. Abramov N. 1974. Water Supply. Moscow: Stroyizdat, 481. (in Russian).
- 2. Bertsekas D., Shreve S. 1985. Stochastic Optimal Control. The Discrete Time Case. Moscow: Nauka, 280. (in Russian).
- 3. Bohan A., Kolesnik Y. 2002. Optimization of modes of power consumption of pump units of water and sewage. Herald GSTU behalf of Sukhoi P. №2 (8), 41-48. (in Russian).
- 4. Burgschweiger J., Gnadig B., Steinbach, M.C. 2009. Optimization Models for Operative Planning in Drinking Water Networks. Optimization and Engineering Vol. 10, №1, 43-73.
- 5. Burgschweiger J., Gnadig B., Steinbach M.C. 2009. Nonlinear Programming Techniques for Operative Planning in Large Drinking Water Networks. The Open Applied Mathematics Journal, №3, 14-28.
- 6. Chupin R.V., Melehov E.S. 2011. The Theory and Practice of Modeling and Optimization of Water and Wastewater. – Irkutsk: Publisher Irkutsk State Technical University, 323. (in Russian).
- 7. Dolinskii A., Draganov B., Kozirskii V. 2012. Nonequilibrium State of Engineering systems. Econtechmod. An International Quarterly Journal. Vol. 1, № 1, 33–34.
- 8. Evdokimov A. G., Dubrovsky V. V., Teviashev A.D. 1979. Flow Distribution in the Network Еngineering. Moscow: Stroyizdat, 199. (in Russian).
- 9. Evdokimov A. G., Teviashev A. D. 1980. Operational Management of Load Flow in Engineering Networks. Kharkiv; High School, 144. (in Russian).
- 10.Galeev A Suleimanov P, Arslanov I. 2013. Automated Monitoring and Control System of Sewerage Pumping Station Pumping Units’ Work. Engineering - from theory to practice. №24, 13-20. (in Russian).
- 11.Hoeve W.-J. 2005. Operations Research Techniques in Constraint Programming. Institute for Logic, Language and Computation Universiteit van Amsterdam, 154.
- 12.Karelin V. Y., Minayev A. V. 1986. Pumps and pumping stations. Moscow: Stroyizdat, 320. (in Russian).
- 13.Leznov B. C. 2006. Energy saving and adjustable drive for pump and blower installations. Moscow: Energoatomizdat, 358. (in Russian).
- 14.Lipták B. 2009. Pumping Station Optimization. Control Promoting Excellence in Process Automation, 12 – 19. (in Russian).
- 15.Lobachev P. V. 1983. Pumps and pumping stations. Moscow: Stroyizdat, 191. (in Russian).
- 16.Mathews J. H., Fink K. K. 2004. Numerical Methods Using Matlab., 4th Edition, Prentice-Hall Inc. Upper Saddle River, New Jersey, USA, 440.
- 17. Pulido-Calvo I. Gutiérrez-Estrada J. C. 2011. Selection and Operation of Pumping Stations of Water Distribution Systems. Environmental Research Journal, Nova Science Publishers, 1-20.
- 18.Ruuskanen A. 2007. Optimization of Energy Consumption in Wastewater Pumping. Lappeenranta University of Technology Department of Energy- and Environmental Technology, 99.
- 19. Steinbach M. C. 2001. General Information Constraints in Stochastic Programs. Berlin: ZIB, 5.
- 20. Steinbach M. C. 2001. Tree-Sparse Convex Programs. Konrad-Zuse-Zentrum fur Informationstechnik Berlin, ZIB-Report, 22.
- 21.Teviashev A. D., Matviyenko O. I. 2014. Stochastic Model and Method of Zoning Water Networks. Kharkov: Eastern-Europian Journal of Enterprise Technologies, 1 (67), 17–24. (in Russian).
- 22.Teviashev A. D., Matviyenko O. I., Nikitenko G. V. 2014. Stochastic Model and Method of Operational Planning Modes Pumping Stations. "Water. Ecology. Society": Proceedings of the IV International Scientific- Technical Conference. - Kharkov: О.М. Beketov NUUE, 61–64. (in Russian).
- 23.Teviashev A. D., Shulik, P. V. 2002. Estimation of Parameters of Mathematical Models of the Elements of Pumping Stations in Real Time. ACS and automation devices. Kharkov: Univ KhTURE, 28–37. (in Russian).
- 24. Teviashev A. D., Matvienko O. I. 2014. One Strategy of Operational Planning Mode Pumping Station. East-European Journal of Enterprise Technologies, № 3, 4-9. (in Russian).
- 25. Teviashev A. D., Matvienko O. I. 2014. About One Approach to Solve the Problem of Management of the Development and Operation of Centralized Water-Supply Systems. Econtechmod. An International Quarterly Journal. Vol. 3, № 3., 61-76.
- 26. Velikanov N., Korjagin S. 2014. Energy Efficiency of Water Supply and Out Water-Way Networks of City. Technical and Technological Problems of Service. №4 (30), 84-88. (in Russian).
- 27. Wróbel K., Styła S. and Sumorek A. 2012. Use of GIS Systems in the Construction of Hydraulic Model of Networks. Econtechmod. An International Quarterly Journal. Vol. 01, № 2., 63-69.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-35058e92-a83c-4d74-b931-7dbafbb5e442