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    An Optimal Control Approach to Minimizing Entropy Generation in an Adiabatic Internal Combustion Engine

    Source: Journal of Dynamic Systems, Measurement, and Control:;2008:;volume( 130 ):;issue: 004::page 41008
    Author:
    Kwee-Yan Teh
    ,
    Christopher F. Edwards
    DOI: 10.1115/1.2936864
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Entropy generation due to combustion destroys as much as a third of the theoretical maximum work that could have been extracted from the fuel supplied to an engine. Yet, there is no fundamental study in the literature that addresses the question of how this quantity can be minimized so as to improve combustion engine efficiency. This paper fills the gap by establishing the minimum entropy generated in an adiabatic, homogeneous combustion piston engine. The minimization problem is cast as a dynamical system optimal control problem, with the piston velocity profile serving as the control input function. The closed-form switching condition for the optimal bang-bang control is determined based on Pontryagin’s maximum principle. The switched control is shown to be a function of the pressure difference between the instantaneous thermodynamic state of the system and its corresponding equilibrium thermodynamic state at the same internal energy and volume. At optimality, the entropy difference between these two thermodynamic states is shown to be a Lyapunov function. In thermodynamic terms, the optimal solution reduces to a strategy of equilibrium entropy minimization. This result is independent of the underlying combustion mechanism. It precludes the possibility of matching the piston motion in some sophisticated fashion to the nonlinear combustion kinetics in order to improve the engine efficiency. For illustration, a series of numerical examples are presented that compare the optimal bang-bang solution with the nonoptimal conventional solution based on slider-crank piston motion. Based on the solution for minimum entropy generation, a bound for the maximum expansion work that the piston engine is capable of producing is also deduced.
    keyword(s): Entropy , Equilibrium (Physics) , Optimal control , Combustion , Engines , Mixtures AND Piston engines ,
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      An Optimal Control Approach to Minimizing Entropy Generation in an Adiabatic Internal Combustion Engine

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    contributor authorKwee-Yan Teh
    contributor authorChristopher F. Edwards
    date accessioned2017-05-09T00:27:25Z
    date available2017-05-09T00:27:25Z
    date copyrightJuly, 2008
    date issued2008
    identifier issn0022-0434
    identifier otherJDSMAA-26454#041008_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/137672
    description abstractEntropy generation due to combustion destroys as much as a third of the theoretical maximum work that could have been extracted from the fuel supplied to an engine. Yet, there is no fundamental study in the literature that addresses the question of how this quantity can be minimized so as to improve combustion engine efficiency. This paper fills the gap by establishing the minimum entropy generated in an adiabatic, homogeneous combustion piston engine. The minimization problem is cast as a dynamical system optimal control problem, with the piston velocity profile serving as the control input function. The closed-form switching condition for the optimal bang-bang control is determined based on Pontryagin’s maximum principle. The switched control is shown to be a function of the pressure difference between the instantaneous thermodynamic state of the system and its corresponding equilibrium thermodynamic state at the same internal energy and volume. At optimality, the entropy difference between these two thermodynamic states is shown to be a Lyapunov function. In thermodynamic terms, the optimal solution reduces to a strategy of equilibrium entropy minimization. This result is independent of the underlying combustion mechanism. It precludes the possibility of matching the piston motion in some sophisticated fashion to the nonlinear combustion kinetics in order to improve the engine efficiency. For illustration, a series of numerical examples are presented that compare the optimal bang-bang solution with the nonoptimal conventional solution based on slider-crank piston motion. Based on the solution for minimum entropy generation, a bound for the maximum expansion work that the piston engine is capable of producing is also deduced.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleAn Optimal Control Approach to Minimizing Entropy Generation in an Adiabatic Internal Combustion Engine
    typeJournal Paper
    journal volume130
    journal issue4
    journal titleJournal of Dynamic Systems, Measurement, and Control
    identifier doi10.1115/1.2936864
    journal fristpage41008
    identifier eissn1528-9028
    keywordsEntropy
    keywordsEquilibrium (Physics)
    keywordsOptimal control
    keywordsCombustion
    keywordsEngines
    keywordsMixtures AND Piston engines
    treeJournal of Dynamic Systems, Measurement, and Control:;2008:;volume( 130 ):;issue: 004
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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