Global stability analysis of a Curzon-Ahlborn heat engine using the Lyapunov method

Israel Reyes-Ramírez, Marco A. Barranco-Jiménez, A. Rojas-Pacheco, Lev Guzmán-Vargas

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

In the present work, we analyze the global stability of a heat engine working at maximum power regime. We use the Lyapunov stability theory to construct the Lyapunov function to prove the asymptotic stability behavior about the steady-state of intermediate temperatures in the engine model. Our analysis is focused on the characterization of the global stability by considering internal irreversibilities and a linear heat transfer law in the thermal couplings. Besides, numerical integrations were performed to corroborate the findings of the global asymptotic stability of the system.

Original languageEnglish
Pages (from-to)98-105
Number of pages8
JournalPhysica A: Statistical Mechanics and its Applications
Volume399
DOIs
StatePublished - 1 Apr 2014

Keywords

  • Global stability analysis
  • Heat engine
  • Thermodynamics

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