Power-optimization of multistage non-isothermal chemical engine system via Onsager equations,Hamilton-Jacobi-Bellman theory and dynamic programming

作     者：CHEN LinGen XIA ShaoJun 

作者机构：Institute of Thermal Science and Power EngineeringWuhan Institute of TechnologyWuhan 430205China School of Mechanical&Electrical EngineeringWuhan Institute of TechnologyWuhan 430205China School of Power EngineeringNaval University of EngineeringWuhan 430033China 

出 版 物：《Science China(Technological Sciences)》 (中国科学（技术科学英文版）)

年 卷 期：2023年第66卷第3期

页      面：841-852页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.51976235 and 52171317) 

主　　题：endoreversible non-isothermal chemical engine multi-stage system linear irreversible thermodynamics maximum power output finite time thermodynamics optimal control 

摘      要：The research on the output rate performance limit of the multi-stage energy conversion system based on modern optimal control theory is one of the hot spots of finite time *** existing research mainly focuses on the multi-stage heat engine system with pure heat transfer and the multi-stage isothermal chemical engine(ICE)system with pure mass transfer,while the multi-stage non ICE system with heat and mass transfer coupling is less involved.A multistage endoreversible non-isothermal chemical engine(ENICE)system with a finite high-chemical-potential(HCP)source(driving fluid)and an infinite low-chemical-potential sink(environment)is *** multistage continuous system is treated as infinitesimal ENICEs located *** infinitesimal ENICE is assumed to be a single-stage ENICE with stationary *** single-stage results,the maximum power output(MPO)of the multistage system is *** and mass transfer processes between the reservoir and working fluid are assumed to obey Onsager *** the fixed initial time,fixed initial fluid temperature,and fixed initial concentration of key component(CKC)in the HCP source,continuous and discrete models of the multistage system are *** given initial reservoir temperature,initial CKC,and total process time,the MPO of the multistage ENICE system is optimized with fixed and free final temperature and final *** the final concentration and final temperature are free,there are optimal final temperature and optimal final concentration for the multistage ENICE system to achieve MPO;meanwhile,there are low limit values for final fluid temperature and final *** cases for multistage endoreversible Carnot heat engines and ICE systems are further *** the model in this paper,the minimum entropy generation objective is not equivalent to MPO objective.