【摘要】 提出了一种处理电力系统中具有不同相角分布时随机谐波矢量(电压和电流)的求和问题的新方法。首先将几个随机谐波矢量进行X-Y轴正交分解,得到分量和的k阶矩后,利用Laguerre多项式求解其近似概率密度函数(PDF)。根据分量和的PDF进行X-Y轴矢量合成,得到用Laguerre多项式形式表达合成后幅值的PDF。最后对2个谐波电压矢量幅值的近似PDF和由实测值(各1 440个点)相加得到的PDF进行对比,证明了该方法的有效性。更多还原

【Abstract】 This paper presents a new method to obtain the sum of random harmonic vectors (voltage or current) whose phases have different probability distribution functions in a power system. Several vectors are decomposed with X-Y axis. The probability density functions (PDF) of the sum of X-Y axis components can be obtained by using Laguerre polynomials after getting the kth moments of their sum. Based on the PDFs of the sum of X-Y axis components, the PDF of the length of the sum of vectors is obtained. Finally the PDFs of the sum of vectors that are obtained by using true data are compared with those obtained by using Laguerre polynomials.更多还原