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A NEW APPROACH TO SOLVING OPTIMAL INNER CONTROL OF LINEAR PARABOLIC PDES PROBLEM
Mahmoudi, M.,Kamyad, A.V.,Effati, S. The Korean Society for Computational and Applied M 2012 Journal of applied mathematics & informatics Vol.30 No.5
In this paper, we develop a numerical method to solving an optimal control problem, which is governed by a parabolic partial differential equations(PDEs). Our approach is to approximate the PDE problem to initial value problem(IVP) in $\mathbb{R}$. Then, the homogeneous part of IVP is solved using semigroup theory. In the next step, the convergence of this approach is verified by properties of one-parameter semigroup theory. In the rest of paper, the original optimal control problem is solved by utilizing the solution of homogeneous part. Finally one numerical example is given.
A NEW APPROACH TO SOLVING OPTIMAL INNER CONTROL OF LINEAR PARABOLIC PDES PROBLEM
M. Mahmoudi,A.V. Kamyad,S. Effati 한국전산응용수학회 2012 Journal of applied mathematics & informatics Vol.30 No.5
In this paper, we develop a numerical method to solving an optimal control problem, which is governed by a parabolic partial differen-tial equations(PDEs) . Our approach is to approximate the PDE problem to initial value problem(IVP) in R. Then, the homogeneous part of IVP is solved using semigroup theory. In the next step, the convergence of this approach is verified by properties of one-parameter semigroup theory. In the rest of paper, the original optimal control problem is solved by utilizing the solution of homogeneous part. Finally one numerical example is given.
Energy and exergy evaluation of a tri-generation system driven by the geothermal energy
Ehsan Akrami,Ata Chitsaz,Pooria Ghamari,S. M. S. Mahmoudi 대한기계학회 2017 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.31 No.1
In this paper, a geothermal-based tri-generation energy system with three useful outputs is clearly developed to produce electricity, heating and hydrogen. To have a better view of the thermodynamic performance of the present integrated system, parametric studies upon the effects of geofluid mass flow rate, turbine inlet temperature and pressure on the energy and exergy efficiencies of the system are undertaken. Under the specified circumstances, the related efficiencies of energy and exergy for the overall system are estimated around 26.14 % and 44.45 %, respectively, while these efficiencies for this system with electricity and heating generation, amount to 25.32 % and 39.75 %, and these amounts for solely electricity generation are 6 % and 33.47 %, respectively. Also the amount of net electricity power and heating generation in specific design parameter values are estimated around 43.47 (kW) and 149.8 (kW), respectively. In addition, for every 10.4 kW of electrical energy consumption in the electrolysis unit, pure hydrogen will be produced at a rate of 0.2 kg/hour.