Traction Load Classification Method Based on Improved Clustering Method
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摘要: 为得到更为准确的牵引负荷分类结果，基于大量的牵引负荷实测数据，提出了一种改进后的自适应模糊C均值聚类方法. 该方法能够自动获取最佳聚类数，以馈线电流带电有效系数、最大值、平均值、95%值以及1～5阶样本矩作为聚类指标对实测牵引负荷进行聚类；然后采用非参数核密度估计方法对牵引负荷概率密度函数进行拟合，得到了每一类馈线电流概率分布模型. 结果表明：聚为一类的牵引负荷特征参数相近、概率分布相似.Abstract: In order to obtain more accurate traction load classification, based on a large amount of measured traction load data, an improved fuzzy C-means clustering method is proposed, which can automatically obtain the best classification number. A charged effective coefficient, the maximum value, the average value, the value of 95% and one to five order moments were chosen as clustering indicators to classify feeder current. Then the probability density function of traction loads was fitted using non-parametric kernel density estimation, and the probability distribution model of each feeder current type was obtained. The results show that the characteristic parameters and probability distributions of the traction loads that were clustered together are.
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图 4 馈线电流的概率密度函数拟合曲线
Figure 4. Probability density function fitting curve of feeder current
表 1 特征参数的权重分配
Table 1. Weight distribution of characteristic parameters
参数 权重 参数 权重 偏度 0.5 一阶矩 0.8 峰度 0.5 二阶矩 0.8 带电有效系数 0.8 三阶矩 0.1 Imax/Imean 0.8 四阶矩 0.1 I95/Imean 0.5 五阶矩 0.1 Iyou/Imean 0.1 空载系数 0.5 
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表 2 馈线电流的隶属度
Table 2. Feeder current membership
样本 第 Ⅰ 类 第 2 类 第 3 类 第 4 类 第 5 类 第 6 类 样本 第 Ⅰ 类 第 2 类 第 3 类 第 4 类 第 5 类 第 6 类 负荷1 0.169 0.217 0.108 0.255 0.151 0.100 负荷17 0.076 0.093 0.224 0.138 0.115 0.355 负荷2 0.517 0.185 0.053 0.109 0.087 0.050 负荷18 0.074 0.089 0.152 0.113 0.098 0.473 负荷3 0.407 0.207 0.066 0.142 0.117 0.060 负荷19 0.126 0.204 0.106 0.295 0.139 0.129 负荷4 0.077 0.086 0.445 0.121 0.135 0.137 负荷20 0.093 0.118 0.155 0.269 0.251 0.114 负荷5 0.103 0.119 0.249 0.156 0.137 0.237 负荷21 0.167 0.268 0.096 0.221 0.135 0.113 负荷6 0.040 0.047 0.679 0.069 0.074 0.092 负荷22 0.040 0.061 0.031 0.787 0.054 0.028 负荷7 0.362 0.266 0.067 0.137 0.102 0.066 负荷23 0.131 0.142 0.103 0.213 0.334 0.077 负荷8 0.107 0.124 0.182 0.144 0.128 0.315 负荷24 0.128 0.135 0.170 0.186 0.277 0.105 负荷9 0.268 0.336 0.072 0.147 0.101 0.077 负荷25 0.013 0.015 0.016 0.025 0.920 0.011 负荷10 0.211 0.283 0.090 0.198 0.129 0.090 负荷26 0.105 0.110 0.100 0.157 0.456 0.072 负荷11 0.193 0.408 0.065 0.167 0.096 0.071 负荷27 0.101 0.105 0.115 0.151 0.450 0.077 负荷12 0.449 0.192 0.066 0.124 0.108 0.061 负荷28 0.152 0.164 0.094 0.219 0.293 0.077 负荷13 0.327 0.340 0.057 0.131 0.089 0.057 负荷29 0.081 0.090 0.402 0.133 0.173 0.120 负荷14 0.612 0.164 0.040 0.083 0.063 0.039 负荷30 0.096 0.105 0.165 0.160 0.378 0.097 负荷15 0.048 0.060 0.095 0.081 0.064 0.653 负荷31 0.068 0.078 0.472 0.116 0.147 0.119 负荷16 0.100 0.131 0.166 0.199 0.141 0.263
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表 3 3类牵引负荷的特征值
Table 3. Characteristic values of three types of traction loads
分类 偏度 峰度 Imax/Imean I95/Imean 带电有效系数 空载概率 1-1 1.36 5.12 5.20 2.45 1.20 0.47 1-2 1.56 6.81 6.16 2.45 1.23 0.35 1-3 1.46 5.63 5.52 2.51 1.24 0.25 1-4 1.06 4.48 6.78 2.35 1.11 0.68 2-1 0.65 3.29 3.47 2.23 1.05 0.73 2-2 0.70 3.34 3.97 1.88 1.08 0.69 2-3 0.85 4.28 5.30 2.12 1.02 0.65 2-4 0.50 3.58 3.28 1.89 1.05 0.70 2-5 0.75 3.85 4.34 2.14 1.06 0.68 3-1 2.43 10.92 11.98 3.35 1.50 0.31 3-2 2.13 9.05 8.20 3.09 1.34 0.30 3-3 1.67 5.64 6.83 3.12 1.35 0.32 3-4 2.03 7.61 7.73 3.19 1.31 0.38 3-5 2.13 9.13 10.10 3.24 1.38 0.17 注：表中所有数据处理时均采用电流即时值比电流最大值.
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