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| 摘要: |
| 提出利用Laguerre多项式的逼近函数进行电力机车谐波电流估计。根据机车不同的运行方式建立机车模型,通过随机变量矩的合成求出机车电流的k阶原点矩,利用Laguerre多项式展开拟合其概率密度函数PDF(ProbabilityDensityFunction)。根据机车谐波电流与负荷电流的比例关系,求得谐波电流的95%概率估计值。最后,对SS1型机车产生的谐波电流进行估计,证明了该方法的有效性。 |
| 关键词: Laguerre多项式,矩的合成,概率密度函数,电力机车,谐波电流 |
| DOI： |
| 分类号:TM933.1 |
| 基金项目: |
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| Assess harmonic currents of electric locomotive with Laguerre polynomials |
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WANG Gang YANG Hong-geng
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| Abstract: |
| A method is presented to assess the harmonic current of electric locomotives using the approaching function of Laguerre polynomials. Locomotive models are established according to different tractive operation ways and the k order moment by the moment compound of random variables is then calculated. The PDF(Probability Density Function) of the load current can be fitted by the Laguerre polynomial expansion. Based on the relationship between the locomotive load current and harmonic currents,the probability value of harmonic currents at 95 % can be estimated. The assessment of harmonic currents for SS1 locomotive proves the efficiency of the approach presented. |
| Key words: Laguerre polynomials,moment compound,probability density function,electric locomotive,harmonic current |
