摘要
提出非2π分布随机谐波矢量求和的新途径.用随机矢量X、Y分量的高阶矩求和代替随机矢量求和运算,再用矩量平方换算给出矢量和的2n阶矩,得到用Laguerre多项式描述的概率密度函数.使用递推算法估计测量统计值各分量的n阶矩,引入尺度因子修正截断误差.这种求和方法不要求各个随机矢量在相位上具有0～2π的概率分布,使用的统计样本值较少.对实际测量值的分析证明了该方法的有效性.
A new approach for summation of harmonics with random-varying phase angles less then 2π is proposed. Replacing the summation of random vectors by that of their high order moments and through the matrixing of 2n- order moments of given vectors by square of moments, the cumulative probability density function represented by Laguerre polynomials are obtained. Using recursive algorithm the n-order moment of each component of measurements statistic is evaluated by recursive algorithm and the truncation error is meliorated by scaling factor. This kind of summation method does not require the probability distribution of each random vector is within the interval (0, 2π) in phase angle, so less statistical samples value is to be used. The analysis on practical measured values proves that the proposed method is effective.
出处
《电网技术》
EI
CSCD
北大核心
2005年第14期26-29,共4页
Power System Technology
关键词
电力系统
Laguerre多项式
随机矢量求和
多谐波源
超值概率
牵引负荷
Algorithms
Electric loads
Electric power systems
Error analysis
Polynomials
Probability density function
Random processes
Vectors
