序列运算离散化过程中的误差成因及补偿  

Sequence operation discretization error mechanism and compensation

作　　者：徐玮[1] 康重庆[1] 夏清[1] JIANG John N 

机构地区：[1]清华大学电机工程与应用电子技术系,电力系统国家重点实验室,北京100084 [2]School of Electrical and Computer engineering,the University of Oklahoma,Norman,OK73019,USA

出　　处：《清华大学学报（自然科学版）》2009年第1期17-20,共4页Journal of Tsinghua University(Science and Technology)

基　　金：国家自然科学基金资助项目(50777031);新世纪优秀人才支持计划资助(NCET-07-0484)

摘　　要：为了减少序列离散化过程导致的误差,提出几种概率补偿的方法。由误差的成因入手,分析了离散化过程的误差机理,将利用随机变量的概率分布函数离散化后所得序列,分别以修正公式、平均补偿法及比例补偿法进行补偿,推导出各种误差补偿方法下序列期望值及方差的误差估计公式。结果表明:经误差补偿后,算例中序列期望值误差下降为原误差的8%以下,而方差误差至少可降为原误差的91%。Several probability compensation methods have been developed to reduce sequence discretization error. The sequence discretization error mechanism was analyzed to derive error equations for an average compensation method and a proportional compensation method to compensate for the sequence discretization error from a random variable with a probability distribution function. The error estimation formulas for the sequence expectation and variance were deduced for various error compensation methods. The case study results show that the sequence expectation error is less than 8% of the original error and the variation error is deereased to 91% of the original error after the error compensation.

关 键 词：序列运算理论 电力系统 离散化 误差 补偿 

分 类 号：O211.9[理学—概率论与数理统计] TM744[理学—数学]