Sensitivity Analysis of Limit Cycles in an Alpha Stirling Engine: A Bifurcation-Theory Approach

Dmitry Gromov, Fernando Castanos

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We study a thermomechanical system comprising an alpha Stirling engine and a flywheel from the perspective of dynamical systems theory. Thermodynamics establishes a static relation between the flywheel's angle and the forces exerted by the two power pistons that constitute the engine. Mechanics, in turn, provides a dynamic relation between the forces and the angle, ultimately leading to a closed dynamical model. We are interested in the different behaviors that the engine displays as the model parameters are varied. The temperature of the hot piston and the mechanical phase between both pistons constitute our bifurcation parameters. Considering that energy conversion in the engine can only take place through cyclic motions, we are particularly interested in the appearance of limit cycles.

Original languageEnglish
Pages (from-to)1865-1883
Number of pages19
JournalSIAM Journal on Applied Dynamical Systems
Volume19
Issue number3
Early online date13 Aug 2020
DOIs
StatePublished - 2020

Keywords

  • Stirling engine
  • modeling
  • bifurcation analysis
  • cylindrical state space
  • COGENERATION SYSTEMS
  • SIMULATION
  • MODEL
  • OSCILLATIONS
  • DYNAMICS
  • DESIGN

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