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Synthesizing modeling of power generation and power limits in energy systems

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  • Sieniutycz, Stanislaw

Abstract

Applying the common mathematical procedure of thermodynamic optimization the paper offers a synthesizing or generalizing modeling of power production in various energy generators, such as thermal, solar and electrochemical engines (fuel cells). Static and dynamical power systems are investigated. Dynamical models take into account the gradual downgrading of a resource, caused by power delivery. Analytical modeling includes conversion efficiencies expressed in terms of driving fluxes. Products of efficiencies and driving fluxes determine the power yield and power maxima. While optimization of static systems requires using of differential calculus and Lagrange multipliers, dynamic optimization involves variational calculus and dynamic programming. In reacting mixtures balances of mass and energy serve to derive power yield in terms of an active part of chemical affinity. Power maximization approach is also applied to fuel cells treated as flow engines driven by heat flux and fluxes of chemical reagents. The results of power maxima provide limiting indicators for thermal, solar and SOFC generators. They are more exact than classical reversible limits of energy transformation.

Suggested Citation

  • Sieniutycz, Stanislaw, 2015. "Synthesizing modeling of power generation and power limits in energy systems," Energy, Elsevier, vol. 84(C), pages 255-266.
    • Handle: RePEc:eee:energy:v:84:y:2015:i:c:p:255-266
    DOI: 10.1016/j.energy.2015.02.112
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    References listed on IDEAS

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    1. Richard Bellman, 1957. "On a Dynamic Programming Approach to the Caterer Problem--I," Management Science, INFORMS, vol. 3(3), pages 270-278, April.
    2. Sieniutycz, Stanisław & Poświata, Artur, 2012. "Thermodynamic aspects of power production in thermal, chemical and electrochemical systems," Energy, Elsevier, vol. 45(1), pages 62-70.
    3. Bracco, Stefano & Siri, Silvia, 2010. "Exergetic optimization of single level combined gas–steam power plants considering different objective functions," Energy, Elsevier, vol. 35(12), pages 5365-5373.
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    Cited by:

    1. Wang, Chao & Chen, Lingen & Xia, Shaojun & Sun, Fengrui, 2016. "Maximum production rate optimization for sulphuric acid decomposition process in tubular plug-flow reactor," Energy, Elsevier, vol. 99(C), pages 152-158.

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