A general quasi-canonical structure for hamiltonian optimization of sequential energy systems

Stanisław Sieniutycz

Abstract

The mathematical basis of the general theory is Bellman's dynamic programming (DP) and associated maximum principles. Our original contribution develops a generalized theory for multistage discrete processes in which time intervals can reside in the model nonlinearly and can be constrained. The new theory removes the requirement of the free intervals θn, yet preserves the most powerful features of the continuous theory of Pontryagin in the discrete context. Applications deal with dynamic optimization of diverse energy and chemical systems in which a minimum of entropy generation is the criterion of performance; from this basic criterion reasonable partial criteria are derived. It is possible to handle optimality conditions for complex systems with state dependent coefficients, and thus to generalize analytical solutions obtained in linear cases to nonlinear situations. Correspondence is shown with basic theoretical mechanics and classical Hamilton-Jacobi theory when the number of stages approaches an infinity.
Author Stanisław Sieniutycz (FCPE / DSP)
Stanisław Sieniutycz,,
- Department of Separation Processes
Journal seriesInternational Journal of Applied Thermodynamics, ISSN 1301-9724, e-ISSN 2146-1511
Issue year2000
Vol3
No4
Pages181-189
Publication size in sheets0.5
Keywords in Englishconstrained energy systems, discrete control, Hamiltonian theories, optimization
ASJC Classification2200 General Engineering; 3104 Condensed Matter Physics
URL http://dergipark.ulakbim.gov.tr/eoguijt/article/view/1034000047
Languageen angielski
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Sieniutycz S. - A general quasi-canonical....pdf 191.73 KB
Score (nominal)0
Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 2014 = 0.974
Citation count*2 (2015-02-24)
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