【作者】 康重庆； 白利超； 夏清； 赵儆； 相年德；

【Author】 Kang Chongqing Bai Lichao Xia Qing Zhao Jing Xiang Niande (Tsinghua University,Beijing,100084,China)

【机构】 清华大学电机系；

【摘要】 本文在已建立的序列运算理论基础上进行了进一步的扩展。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四种序列运算的补充,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。本文的结果,使得序列运算理论进一步完善,在实际应用中可以更加灵活。更多还原

【Abstract】 Based on Sequence Operation Theory(SOT),some advance studies in SOT are proposed in this paper.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 then analyzed.The above contents enhance SOT to a great extent and have played animportant role in the analysis on market price uncertainty.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 are also proposed in this paper. Their operation rules are studied in details.All these theoretical result have been put into use in power system analysis and satisfied result are achieved.更多还原