摘要
在已建立的序列运算理论基础上进行了进一步扩展。首先提出了一种新的序列运算———合并运算 ,分析了其相应的性质 ;提出了部分概率序列的概念及其与合并运算之间的关系 ,分析了部分概率序列的物理含义。这些内容作为原始的 4种序列运算的补充 ,已经在实际应用中发挥了重要作用。研究了序列运算的逆运算问题 ,提出了反卷和运算的计算方法和存在条件。给出了序列的矩与投影度的概念和数学描述 ,并着重研究了其运算性质。文中的结果 ,使得序列运算理论进一步完善 。
Based on sequence operation theory (SOT), some advance studies in SOT are proposed. A new sequence operation named combination operation is established firstly and its operation rules are presented. Furthermore, the concept of partial probabilistic sequence is derived from the combination operation and its physical meaning is analyzed. The above enhanced SOT has played an important role in the analysis on market price uncertainty to a great extent. Based on the studies on the converse operation of SOT, the algorithm of converse-addition-type-convolution is presented as well as its determinant of existence. The concepts and mathematic descriptions of moment and projection for general discrete sequence arc also proposed. Their operation rules are studied in details. All these theoretical results have been put into use in power system analysis.
出处
《电力系统自动化》
EI
CSCD
北大核心
2003年第13期5-9,49,共6页
Automation of Electric Power Systems
基金
国家重点基础研究专项经费资助项目 (G19980 2 0 311)
国家自然科学基金资助项目 (5 0 0 0 70 0 5 )
清华大学基础研究基金资助项目 (JC2 0 0 2 0 18)
关键词
电力系统
序列运算理论
离散序列
Convolution
Mathematical models
Numerical analysis
