ACTA

Multi-Objective Optimization for Quantum Rectangular Cycle with Power, Efficiency and Efficient Power

X. Xie^a, L. Chen^{b, c, d}, Y. Yin^{a, b}, S. Shi^{b, c, d}
^aSchool of Optical Information and Energy Engineering, Wuhan Institute of Technology, Wuhan 430205, China
^bInstitute of Thermal Science and Power Engineering, Wuhan Institute of Technology, Wuhan 430205, China
^cHubei Provincial Engineering Technology Research Center of Green Chemical Equipment, Wuhan 430205, China
^dSchool of Mechanical & Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, China

Full Text PDF

This paper establishes a quantum rectangular heat engine model by applying finite-time thermodynamics. The working medium is countless particles trapped in a one-dimensional infinite potential well. Taking into account heat leakage between the system and the outside, expressions for thermal efficiency (η), dimensionless power (P̄), and dimensionless efficient power (W̄_ep) of quantum rectangular heat engine are derived, and its optimal performance is studied. System performance P̄, η, and W̄_ep are optimized firstly by taking the width ratio of the potential well as the optimization variable. The outcomes show that the relationship curve between P̄ and η is a loop-shaped curve. With an increase in heat leakage coefficient, the optimal design range of the quantum rectangular heat engine becomes smaller. The relationship curve between the efficient power and width ratio of the potential well is parabolic-like. The relationship curve between W̄_ep and η is a loop-shaped curve. The efficiency of the quantum rectangular heat engine at W̄_epmax operating point is greater than that at P̄_max operating point. Secondly, multi-objective optimization is applied with η, P̄, and W̄_ep as optimization objectives by applying NSGA-II, and the optimal design scheme is achieved by applying TOPSIS, LINMAP, and Shannon entropy decision-making approaches. The smallest deviation index inferred by the Shannon entropy approach is 0.0269. The design scheme is closest to the ideal scheme.

DOI:10.12693/APhysPolA.145.16
topics: finite-time thermodynamics, quantum rectangular heat engine (QRHE), power, multi-objective optimization, thermal efficiency and efficient power