量子卡诺热机有效功率优化  

Optimization of Effective Power of Quantum Carnot Heat Engine

作　　者：魏轩宇 殷勇 汪浩[1] 刘彭派 张山[1] 李恩泽[1] WEI Xuanyu;YIN Yong;WANG Hao;LIU Pengpai;ZHANG Shan;LI Enze(School of Optical Information and Energy Engineering,Wuhan Institute of Technology,Wuhan 430205,China;Institute of Thermal Science and Power Engineering,Wuhan Institute of Technology,Wuhan 430205,China)

机构地区：[1]武汉工程大学光电信息与能源工程学院,湖北武汉430205 [2]武汉工程大学热科学与动力工程研究所,湖北武汉430205

出　　处：《武汉工程大学学报》2023年第3期312-318,共7页Journal of Wuhan Institute of Technology

基　　金：武汉工程大学科学基金(19QD22);武汉工程大学研究生教育创新基金(CX2022466)。

摘　　要：建立了一个以广义势阱中的两个费米子为工质的量子卡诺热机循环模型。导出了循环的功率、效率、有效功率等性能参数的表达式,研究了热漏系数与势阱宽度比对循环性能的影响。结果表明:在不同势阱条件下,功率、效率、有效功率均为势阱宽度比的类抛物线函数,功率与有效功率、效率与有效功率的关系曲线均为扭叶型;在相同势阱条件下,热漏系数对功率没有影响,效率与有效功率随热漏系数的增大而减小。以有效功率为优化目标时,反映了功率和效率的折中,为了热机有更高的效率而牺牲了部分功率。A quantum Carnot heat engine cycle model with two fermions in a generalized potential well as working substance was established.Expressions of performance parameters such as power,efficiency and effective power of the cycle were obtained,and the influences of heat leak coefficient and potential well width ratio on the cycle performance were studied.The results show that power,efficiency and effective power are parabolic functions of the potential well width ratio in different potential well conditions,while the relationship curves between power and effective power,efficiency and effective power are all twisted blades;the heat leakage coefficient has no effect on the power in the same potential well condition,while the efficiency and effective power decrease with the increase of the heat leakage coefficient.When the effective power is taken as the optimization goal,it reflects a compromise between power and efficiency,which implies that the heat engine sacrifices part of power for higher efficiency.

关 键 词：有限时间热力学 量子卡诺热机 广义势阱 有效功率 性能分析 

分 类 号：TK124[动力工程及工程热物理—工程热物理]