Abstract
We examine a class of heat engines in which selectively absorbed radiant energy drives an exothermic reaction. The chemical reactor, a cylinder fitted with a piston, Incorporates the dissipative losses of friction and heat conduction. Analysis by computer algebra yielded an algorithm for performing a general linear stability analysis of the system. Bifurcation sets mapping regions of single and multiple steady states are generated. In regions sustaining multiple steady states, driving the engine In a cycle about an unstable steady state generates net power output. Optimal control analyses determine piston trajectories yielding maximum power. A linear stability analysis of the optimally controlled system divides the parameter space into regions where the behavior of a steady state moves from an unstable focus to an unstable node. Using parameter sets which map to the unstable focus, the explicit optimal piston trajectory is determined numerically.
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© 1985 Kluwer Academic Publishers
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Watowich, S.J., Krause, J.L., Berry, R.S. (1985). Stability Analysis and Optimal Control of a Photochemical Heat Engine. In: Pavelle, R. (eds) Applications of Computer Algebra. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-6888-5_9
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DOI: https://doi.org/10.1007/978-1-4684-6888-5_9
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-6890-8
Online ISBN: 978-1-4684-6888-5
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