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有轨电车典型行驶工况的构建

陈维荣 刘禺贝 戴朝华 郭爱 安祺 时方力

陈维荣, 刘禺贝, 戴朝华, 郭爱, 安祺, 时方力. 有轨电车典型行驶工况的构建[J]. 西南交通大学学报, 2020, 55(6): 1141-1146, 1190. doi: 10.3969/j.issn.0258-2724.20190268
引用本文: 陈维荣, 刘禺贝, 戴朝华, 郭爱, 安祺, 时方力. 有轨电车典型行驶工况的构建[J]. 西南交通大学学报, 2020, 55(6): 1141-1146, 1190. doi: 10.3969/j.issn.0258-2724.20190268
CHEN Weirong, LIU Yubei, DAI Chaohua, GUO Ai, AN Qi, SHI Fangli. Construction of Typical Driving Cycle for Tram[J]. Journal of Southwest Jiaotong University, 2020, 55(6): 1141-1146, 1190. doi: 10.3969/j.issn.0258-2724.20190268
Citation: CHEN Weirong, LIU Yubei, DAI Chaohua, GUO Ai, AN Qi, SHI Fangli. Construction of Typical Driving Cycle for Tram[J]. Journal of Southwest Jiaotong University, 2020, 55(6): 1141-1146, 1190. doi: 10.3969/j.issn.0258-2724.20190268

有轨电车典型行驶工况的构建

doi: 10.3969/j.issn.0258-2724.20190268
基金项目: 国家重点研发计划(2017YFB1201005-11,2017YFB1201004,2017YFB1201003)
详细信息
    作者简介:

    陈维荣(1965—),男,教授,博士生导师,研究方向为电力系统及其自动化、新能源技术及其应用,E-mail:wrchen@home.swjtu.edu.cn

  • 中图分类号: V221.3

Construction of Typical Driving Cycle for Tram

  • 摘要: 为合理评估有轨电车在轨道交通中的行驶特征及运行指标,为有轨电车设计与控制提供依据,对有轨电车典型行驶工况进行构建. 首先,以巴黎、布达佩斯、墨尔本城市的有轨电车线路及行驶数据为基础,采用聚类方法获取降维行驶特征;然后,基于马尔可夫链理论,构建有轨电车典型行驶工况;最后,将构建工况与实际工况进行特征值对比分析,并基于所构建的典型工况进行仿真验证. 结果表明:构建的典型行驶工况与实际工况样本数据库总体特征的平均偏差仅为2.63%,满足偏差低于5%的开发精度要求;此外,典型行驶工况与实际行驶工况下的需求功率误差也仅为1.78%,验证了典型工况模型的准确性和有效性.

     

  • 图 1  短行程

    Figure 1.  Sketch of short stroke

    图 2  Calinski-Harabasz评估

    Figure 2.  Plot of Calinski-Harabasz evaluation

    图 3  聚类散点

    Figure 3.  Scatter plot of cluster analysis

    图 4  状态转移概率矩阵

    Figure 4.  Histogram of state transition probability matrix

    图 5  构建的典型工况

    Figure 5.  Typical driving cycle

    图 6  不同工况下能耗对比

    Figure 6.  Comparison of energy consumption with different driving cycles

    表  1  短行程特征参数

    Table  1.   Characteristic parameters of short stroke

    符号含义符号含义
    Vavg/(km•h−1平均速度V0-30低速因子
    Vstd/(km•h−1速度标准差V30-70中速因子
    Vmax/(km•h−1最大速度a0-0.5低加速因子
    aavg/(m•s−2平均加速度a0.5-1中加速因子
    astd/(m•s−2加速度标准差r0-0.5低减速因子
    amax/(m•s−2最大加速度r0.5-1中减速因子
    rstd/(m•s−2减速度标准差a= 0匀速因子
    ravg/(m•s−2平均减速度tD/s怠速时间
    下载: 导出CSV

    表  2  短行程样本数据库

    Table  2.   Database of short stroke samples

    序号Vavg/(km•h−1Vstd/(km•h−1···tD/sa= 0
    134.9822.40···2920.30
    228.8120.89···313.84
    $ \vdots $$ \vdots $$ \vdots $$ \vdots $$ \vdots $
    40048.8125.96···3044.77
    下载: 导出CSV

    表  3  主成分特征值和贡献率

    Table  3.   Eigen values and contribution rates of principal components

    主成分序号主成分特征值主成分贡献率/%主成分序号主成分特征值主成分贡献率/%
    1 7.355 4 45.97 9 0.105 9 0.67
    2 3.890 3 24.31 10 0.061 8 0.39
    3 2.190 2 13.69 11 0.052 5 0.33
    4 0.759 7 4.75 12 0.037 8 0.24
    5 0.481 3 3.01 13 0.030 0 0.19
    6 0.390 5 2.44 14 0.026 8 0.17
    7 0.322 4 2.02 15 0.015 5 0.10
    8 0.274 4 1.72 16 0.005 5 0.03
    下载: 导出CSV

    表  4  短行程主成分得分矩阵

    Table  4.   Score matrix of short-stroke principal components

    样本序号T1T2T3
    13.8361.990−0.206
    24.4672.133−0.912
    $ \vdots $$\vdots$$ \vdots $$ \vdots $
    400−1.8531.4102.026
    下载: 导出CSV

    表  5  聚类结果特征值对比

    Table  5.   Characteristic value comparison of clustering results

    工况 样本占
    比/%
    tD/s Vavg/
    (km•h−1
    Vmax/
    (km•h−1
    aavg/
    (m•s−2
    V0-30 a=0
    类1 10.3 23 51.9 70 0.91 16.1 47.1
    类2 17.3 27 38.3 60 0.94 27.6 43.5
    类3 27.6 30 23.4 38 0.91 64.0 53.2
    类4 44.8 30 32.5 50 0.70 32.0 24.1
    下载: 导出CSV

    表  6  构建工况与数据库样本特征参数对比

    Table  6.   Comparison of characteristic parameters between constructed cycle and sample population

    特征参数样本总体构建工况绝对偏差/%
    Vavg/(km•h−132.9931.654.06
    Vstd/(km•h−118.5218.811.56
    Vmax/(km•h−170700
    aavg/(m•s−20.820.802.44
    astd/(m•s−20.190.184.58
    amax/(m•s−21.301.253.85
    rstd/(m•s−21.261.313.78
    ravg/(m•s−2−1.34−1.404.24
    V0-300.380.373.04
    V30-700.620.631.90
    a0-0.50.080.082.33
    a0.5-10.150.161.93
    r0-0.50.020.022.03
    r0.5-10.010.011.78
    a= 037.8636.822.75
    tD/s28.7629.291.84
    下载: 导出CSV
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出版历程
  • 收稿日期:  2019-03-29
  • 修回日期:  2020-03-27
  • 网络出版日期:  2020-04-10
  • 刊出日期:  2020-12-15

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