Qiu Xingfu, Chen Lingen, Ge Yanlin, Shi Shuangshuang
Institute of Thermal Science and Power Engineering, Wuhan Institute of Technology, Wuhan 430205, China.
Hubei Provincial Engineering Technology Research Center of Green Chemical Equipment, Wuhan 430205, China.
Entropy (Basel). 2022 Oct 26;24(11):1531. doi: 10.3390/e24111531.
On the basis of the established irreversible simple closed gas turbine cycle model, this paper optimizes cycle performance further by applying the theory of finite-time thermodynamics. Dimensionless efficient power expression of the cycle is derived. Effects of internal irreversibility (turbine and compressor efficiencies) and heat reservoir temperature ratio on dimensionless efficient power are analyzed. When total heat conductance of two heat exchangers is constant, the double maximum dimensionless efficient power of a cycle can be obtained by optimizing heat-conductance distribution and cycle pressure-ratio. Through the NSGA-II algorithm, multi-objective optimizations are performed on the irreversible closed gas turbine cycle by taking five performance indicators, dimensionless power density, dimensionless ecological function, thermal efficiency, dimensionless efficient power and dimensionless power output, as objective functions, and taking pressure ratio and heat conductance distribution as optimization variables. The Pareto frontiers with the optimal solution set are obtained. The results reflect that heat reservoir temperature ratio and compressor efficiency have greatest influences on dimensionless efficient power, and the deviation indexes obtained by TOPSIS, LINMAP and Shannon Entropy decision-making methods are 0.2921, 0.2921, 0.2284, respectively, for five-objective optimization. The deviation index obtained by Shannon Entropy decision-making method is smaller than other decision-making methods and its result is more ideal.
基于已建立的不可逆简单闭式燃气轮机循环模型,本文应用有限时间热力学理论进一步优化循环性能。推导了循环的无量纲有效功率表达式。分析了内部不可逆性(涡轮机和压缩机效率)和热库温度比对无量纲有效功率的影响。当两个热交换器的总热导率恒定时,通过优化热导率分布和循环压力比可获得循环的双最大无量纲有效功率。通过NSGA-II算法,以无量纲功率密度、无量纲生态函数、热效率、无量纲有效功率和无量纲功率输出这五个性能指标为目标函数,以压力比和热导率分布为优化变量,对不可逆闭式燃气轮机循环进行多目标优化。得到了具有最优解集的帕累托前沿。结果表明,热库温度比和压缩机效率对无量纲有效功率的影响最大,对于五目标优化,TOPSIS、LINMAP和香农熵决策方法得到的偏差指标分别为0.2921、0.2921、0.2284。香农熵决策方法得到的偏差指标小于其他决策方法,其结果更为理想。