Sensitivity analysis of limit cycles in an alpha stirling engine: A bifurcation-theory approach
Por:
Gromov D., Castanos F.
Publicada:
1 ene 2020
Resumen:
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. © 2020 Society for Industrial and Applied Mathematics Publications. All rights reserved.
Filiaciones:
Gromov D.:
Faculty of Applied Mathematics and Control Processes, St. Petersburg State University, University Embankment, 7/9, St. Petersburg, 199034, Russian Federation
Castanos F.:
Departamento de Control, Automatico, Cinvestav-IPN, Instituto Politecnico Nacional, 2508 Av, Mexico City, 07360, Mexico
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