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Different economical configurations, due for instance to the relative cost ofthe fuel it consumes, can push a heat engine into operating whether at maximumefficiency or at maximum power produced. Any relevant design of such systemhence needs to be based, at least partly, on the knowledge of its specific"power vs. efficiency" characteristic curve. However, even when a simple modelis used to describe the engine, obtained for example thanks to FiniteDimensions Thermodynamics, such characteristic curve is often difficult toobtain and takes an explicit form only for the simplest of these models. Whenmore realistic models are considered, including complex internal subsystems orprocesses, an explicit expression for this curve is practically impossible toobtain. In this paper, we propose to use the called Graham's scan algorithm inorder to directly obtain the power vs. efficiency curve of a realistic Stirlingengine model, which includes heat leakage, regenerator effectiveness, as wellas internal and external irreversibilities. Coupled with an adaptedoptimization routine, this approach allows to design and optimize the same waysimple or complex heat engine models. Such method can then be useful during thepractical design task of any thermal power converter, almost regardless to itsown internal complexity.

A New Method to Optimize Finite Dimensions Thermodynamic Models: application to an Irreversible Stirling Engine