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广义对流传热定律下多级热机系统功率优化的Hamilton-Jacobi-Bellman方程和动态规划法
  • ISSN号：0023-074X
  • 期刊名称：科学通报
  • 时间：0
  • 页码：2875-2885
  • 分类：O4[理学—物理]
  • 作者机构：[1]海军工程大学研究生院,武汉430033
  • 相关基金：国家自然科学基金（10905093）、教育部新世纪优秀人才资助计划（NCET-04-1006）和全国优秀博士学位论文作者专项资金（200136）资助项目
  • 相关项目：换热过程和热机最优构型研究
作者： 夏少军|陈林根|孙丰瑞|
关键词： 广义对流传热定律, 多级热机, 最大功率, 最优控制, 有限时间热力
中文摘要：

研究了有限热容高温流体热源和无限热容低温环境间工作的多级内可逆卡诺热机系统,考虑热源与工质间传热服从广义对流传热定律[q∝（ΔT）m],在初态时刻和驱动流体初态温度均一定的条件下,应用最优控制理论导出了最大输出功率与流体温度最优构型相关的连续Hamilton-Jacobi-Bellman（HJB）方程.基于普适的优化结果,进一步导出了牛顿传热定律（m=1）下的解析解;对于非牛顿传热定律（m≠1）,优化问题不存在解析解,将连续HJB方程离散化,运用动态规划方法编程实现获得了其完整的数值解,并深入讨论了系统最大输出功率与过程时间、流体温度三者间的关联耦合关系.研究结果对实际能量转化系统的最优设计与运行具有一定理论指导作用.

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换热过程和热机最优构型研究
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期刊信息
  • 《科学通报》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国科学院
  • 主编：周光召
  • 地址：北京东黄城根北街16号
  • 邮编：100717
  • 邮箱：csb@scichina.org
  • 电话：010-64036120 64012686
  • 国际标准刊号：ISSN：0023-074X
  • 国内统一刊号：ISSN：11-1784/N
  • 邮发代号:80-213
  • 获奖情况:
  • 首届国家期刊奖,中国期刊方阵“双高”期刊,第三届中国出版政府奖
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  • 被引量:81792