摘要
基于信息熵提出路径熵的概念,分别建立实际路径熵、最大路径熵及相对路径熵计算模型;指出路径熵量度水流对路径选择的不确定性,最大熵反映系统潜在的最大可靠性,相对路径熵量度实际工况下系统实现其最佳潜力的能力,反映系统的可靠性.实际管网分析结果表明,系统的相对路径熵值越趋近于1,系统水力性能越好,可靠性越大.合理地改善管网结构,可增大系统相对路径熵,提高系统可靠性.
Firstly, based on entropy the concept of the path entropy is introduced. And then, the mathematical models of the actual path entropy, the maximum path entropy and the relative path entropy are presented respectively. In addition, it is pointed out that the path entropy describes the uncertainty of the paths chosen by flow, the maximum entropy shows the potential maximum reliability of the system and the relative entropy reflects the reliability of the system by measuring the ability to approach to the maximum reliability. Finally, the calculated result of an actual water distribution system shows that the value of the relative entropy being close to 1 means the good hydraulic performance. The system reliability is improved while the relative entropy is increased by adjusting the configuration of the networks reasonably.
出处
《哈尔滨工业大学学报》
EI
CAS
CSCD
北大核心
2007年第2期251-254,共4页
Journal of Harbin Institute of Technology
基金
国家自然科学基金资助项目(50478025)
关键词
信息熵
最大熵
相对路径熵
给水管网可靠性
information entropy
maximum entropy
the relative path entropy
reliability of water distribution systems
