论文信息 - Thermodynamics with time: Exergy and passivity

Thermodynamics with time: Exergy and passivity

Abstract In this paper we continue the exploration started in the joint paper Brockett and Willems (1978) with a view toward the further development of models for characterizing the limits on energy flow in mixed thermal–mechanical systems. We put the thermodynamic concept of exergy 1 (available energy) in system theoretic terms and discuss its use as a storage function in the context of input–output models. In important cases the reachable sets for the systems considered here are not closed and of course this complicates any discussion of optimality. Only through the consideration of the closure of the reachable sets can the connection between optimal trajectories of dynamical systems and the basic results of classical thermodynamics be made tight.

Roger W. Brockett | R. Brockett

[1] Antonio A. Alonso,et al. Stabilization of distributed systems using irreversible thermodynamics , 2001, Autom..

[2] J. Willems. Dissipative dynamical systems Part II: Linear systems with quadratic supply rates , 1972 .

[3] J. Willems,et al. Stochastic control and the second law of thermodynamics , 1978, 1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes.

[4] J. Willems. Dissipative dynamical systems part I: General theory , 1972 .

[5] R. Kubo. The fluctuation-dissipation theorem , 1966 .

[6] Jan C. Willems,et al. Dissipative Dynamical Systems , 2007, Eur. J. Control.

[7] H. Nyquist. Thermal Agitation of Electric Charge in Conductors , 1928 .

[8] Orlov,et al. Analytical and numerical estimates of efficiency for an irreversible heat engine with distributed working fluid. , 1992, Physical review. A, Atomic, molecular, and optical physics.