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Energy generation and conservation via thermodynamics, kinetics and theory of optimal control


Autore: S. Sieniutycz

Collana: BT - 34 - Mag 06 - Energy: production, distribution and conservation

A thermodynamic approach to simulation and modeling of nonlinear energy converters is presented. Thermodynamics also leads to expressions for the converter’s efficiency and limiting generated work in terms of the entropy production. In dynamical problems the real work is cumulative effect obtained in a system of a resource fluid, a sequence of engines, and an infinite bath. Nonlinear modeling involves dynamic optimization with maximum principles, variational calculus and dynamic programming. A main result is a finite-rate generalization of classical, reversible work (energy). The generalized function depends on thermal coordinates and a dissipation index, h, in fact the Hamiltonian of optimization problem. This function implies stronger bounds on work delivered or supplied than the reversible work potential. As an example of the kinetic work limit in a nonlinear system, generalized exergy of radiation fluid is estimated in terms of finite rates, quantified by Hamiltonian h. role of variational methods is also underlined.

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