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序列运算离散化过程中的误差成因及补偿
引用本文:徐玮,康重庆,夏清,JIANG John N.序列运算离散化过程中的误差成因及补偿[J].清华大学学报(自然科学版),2009(1).
作者姓名:徐玮  康重庆  夏清  JIANG John N
作者单位: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;School;Electrical;Computer;Engineering;University;Oklahoma;
基金项目: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%。

关 键 词:序列运算理论  电力系统  离散化  误差  补偿  

Sequence operation discretization error mechanism and compensation
XU Wei,KANG Chongqing,XIA Qing,JIANG John N.Sequence operation discretization error mechanism and compensation[J].Journal of Tsinghua University(Science and Technology),2009(1).
Authors:XU Wei  KANG Chongqing  XIA Qing  JIANG John N
Institution:1.State Key Laboratory of Control and Simulation of Power Systems and Generation Equipment;Tsinghua University;Beijing 100084;China;2.School of Electrical and Computer Engineering;the University of Oklahoma;Norman;OK 73019;USA
Abstract: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...
Keywords:sequence operation theory  power systems  discretization process  error  compensation  
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