Abstract
Modern thermal power plants are complex technological systems. Therefore, making informed decisions when studying them requires the use of mathematical modeling and nonlinear optimization methods for plant parameter. The most complex task is to solve a mixed optimization problem wherein a part of optimization parameters vary continuously, and the other can take only discrete (integer) values. An effective method is developed to solve a thermal power plant optimization problem with continuous and discrete parameters. The method suggests an iterative procedure for solving continuous nonlinear programming problems and discrete-continuous linear programming problems. For each iteration, we add new constraints obtained by linearizing nonlinear inequality constraints and the objective function of the initial problem to the system of inequality constraints of linear problem. The effectiveness of the proposed method is exemplified by the optimization of a combined cycle power plant with a mixture of working media (the STIG scheme). Design characteristics of heating surface of a waste heat recovery boiler represent the discrete parameters to be optimized. The research demonstrates a considerable reduction in computational effort compared to the branch and bound method.
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References
A. Toffolo and A. Lazaretto, Evolutionary algorithms for multi-objective energetic and economic optimization in thermal system design, Energy, 2002, Vol. 27, P. 549–567.
E. Godoy, N.J. Scenna, and S.J. Benz, Families of optimal thermodynamic solutions for combined cycle gas turbine (CCGT) power plants, Applied Thermal Engng, 2010, Vol. 30, P. 569–576.
M.V.J.J. Suresh, K.S. Reddy, and A.K. Kolar, ANN-GA based optimization of a high ash coalfired supercritical power plant, Applied Energy, 2011, Vol. 88, P. 4867–4873.
P.A. Shchinnikov, G.V. Nozdrenko, O.K. Grigoryeva, and A.A. Kuryanov, The advanced steam and gas technology, J. Engng Thermophys., 2014, Vol. 23, P. 229–235.
R.M. Kavanagh and G.T. Parks, A systematic comparison and multi-objective optimization of humid power cycles. Part II. Economics, ASME J. Engng for Gas Turbines and Power, 2009, Vol. 131, No. 4, P. 041702–1–041702–10.
L. Kowalczyk, W. Elsner, P. Niegodajew, and M. Marek, Gradient-free methods applied to optimization of advanced ultra-supercritical power plant, Applied Thermal Engng, 2016, Vol. 96, P. 200–208.
A.M. Kler and Yu.B. Zakharov, Optimizing parameters of GTU cycle and design values of air-gas channel in a gas turbine with cooled nozzle and rotor blades, Thermophysics and Aeromechanics, 2012, Vol. 19, No. 3, P. 403–414.
A.M. Kler, Yu.M. Potanina, and A.S. Maksimov, Accounting for the variable nature of heat loads in optimizing cogeneration combined heat and power plants, Thermal Engineering, 2012, Vol. 57, No. 7, P. 550–556.
I.G. Donskoi, A.Yu. Marinchenko, A.M. Kler, and A.F. Ryzhkov, Optimizing modes of a small-scale combined-cycle power plant with atmospheric-pressure gasifier, Thermophysics and Aeromechanics, 2015, Vol. 22, No. 5, P. 639–646.
A.M. Kler, N.P. Dekanova, and E.L. Stepanova, Optimization of regime parameters and components in bigscale energy plants, Proceedings of RAS. Power Engineering, 2004, No. 6, P. 43–52.
A.M. Kler and P.V. Zharkov, The schematic-parametric optimization of local energy systems, Proceedings of RAS. Power Engineering, No. 4, 2016, P. P. 49–61.
J.I. Manassaldi, N.J. Scenna, and S.F. Mussati, Optimization mathematical model for the detailed design of air cooled heat exchangers, Energy, 2014, Vol. 64, P. 734–746.
A.V. Fiacco and G.P. McCormick, Nonlinear Programming; Sequential Unconstrained Minimization Techniques, J. Wiley and Sons, New York, 1968.
A.M. Kler, N.P. Dekanova, T.P. Shchegoleva, Z.R. Korneeva, and T.I. Lachkova, Methods for Optimizing Complex Thermal Power Installations, Nauka, Novosibirsk, 1993.
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The research was financially supported by the Russian Science Foundation grant (Project No. 16-19-10174) in the Melentiev Energy Systems Institute SB RAS (Irkutsk, Russia).
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Kler, A.M., Zharkov, P.V. An effective method for optimization of continuous and discrete parameters of heat and power plants. Thermophys. Aeromech. 25, 305–316 (2018). https://doi.org/10.1134/S0869864318020166
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DOI: https://doi.org/10.1134/S0869864318020166