计及幅频特性的多体受电弓参数匹配

王英; 柳玉龙; 陈小强

doi:10.13433/j.cnki.1003-8728.20220111

计及幅频特性的多体受电弓参数匹配

doi: 10.13433/j.cnki.1003-8728.20220111

兰州交通大学自动化与电气工程学院，兰州 730070

基金项目: 国家自然科学基金项目（51767013）与甘肃省科技厅自然科学基金项目（21JR7RA280）

详细信息

作者简介:
王英（1978−），副教授，博士生导师，研究方向为电气化铁路弓网动态优化与控制及轨道交通供电统可靠性，wyview@163.com

中图分类号: U264.3 ⁺ 4；O32
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- PDF下载量: 19
- 被引次数: 0
出版历程
- 收稿日期: 2021-09-09
- 刊出日期: 2023-09-30

Parameters Matching of Multi-body Pantograph Considering Amplitude and Frequency Characteristics

School of Automation & Electrical Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China

摘要

摘要: 针对受电弓的非线性特性对受电弓-接触网系统（以下简称弓网系统）的性能造成的影响，基于拉普拉斯变换和数值方法，建立了一种多体受电弓-接触网耦合动力学模型。分析了多体受电弓参数对受电弓幅频特性的影响，根据分析结果，对接触压力波动的原因进行了分析，提出了一种减小接触压力波动的策略。将受电弓的非线性运动方程在平衡位置处进行高阶展开，得到等效模型。将受电弓不同参数对接触压力的影响进行对比，得出所有参数中弓头刚度和框架质量敏感度最高，并进行了单变量匹配和多变量匹配，对比得出多变量匹配效果更优。仿真结果表明参数优化后受电弓接触压力波动明显减小，受流质量明显提高。
- 高速铁路 /
- 受电弓 /
- 参数优化 /
- 多变量匹配 /
- 幅频特性
Abstract: Aiming at the influence of nonlinear characteristics of pantograph on the performance of pantograph-catenary system (PCS), a multi-body pantograph-catenary coupling dynamics model is established based on Laplace transform and numerical methods. First, the influence of multi-body pantograph parameters on pantograph amplitude-frequency characteristics is analysed,and based on the analysis results, a strategy to reduce contact pressure fluctuations is proposed. Then, a Taylor expansion of the nonlinear motionequations of the pantograph is carried out near the equilibrium position to obtain an equivalent model. The effects of different pantograph parameters on the contact pressure are compared, and it is found that the bow head stiffness and frame mass are the most sensitive among all parameters, and single variable matching and multivariate matching are carried out, and the comparison finds that the optimal parameters obtained by multivariate matching effect are more realistic. Finally, Matlab numerical simulation is carried out, the simulation results show that the pantograph contact pressure fluctuation is significantly reduced and the current quality is significantly improved after parameter optimization.
- high-speed railway /
- pantograph /
- parameter optimization /
- multivariate matching /
- amplitude-frequency characteristic

HTML全文

图 1 多体受电弓框架模型

Figure 1. The multi-body pantograph framework model

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图 2 受电弓等效模型

Figure 2. The equivalent model of the pantograph

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图 3 受电弓幅值频率曲线

Figure 3. The amplitude-frequency curve of the pantograph

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图 4 刚度对幅频特性的影响

Figure 4. The influence of stiffness on amplitude-frequency characteristics

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图 5 受电弓质量对幅频特性的影响

Figure 5. The influence of pantograph mass on amplitude-frequency characteristics

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图 6 最优参数值

Figure 6. Optimal parameter values

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图 7 目标函数的二维云图

Figure 7. Two-dimensional cloud picture of the objective function

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图 8 频率对比图

Figure 8. Frequency comparison diagram

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表 1 SS400 + 受电弓的的二质量块模型物理参数

Table 1. Physical parameters of the two-mass block model for the SS400+pantograph

名称	归算质量	名称	归算刚度	名称	归算阻尼
M_H	6.1 kg	K_H	10400 N/m	C_H	10 Ns/m
M_F	10.154 kg	K_F	10600 N/m	C_F	0.8 Ns/m

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表 2 仿真结果与EN50318标准模型对比

Table 2. Comparison of simulation results with the EN50318 standard model

参数	标准范围		仿真结果
车速/（km·h⁻¹）	250	300	250	300
接触力平均值	110 ~ 120	110 ~ 120	118.993	118.569
接触力标准差	26 ~ 31	26 ~ 31	24.356	30.125
统计接触压力最大值	190 ~ 210	210 ~ 230	175.258	177.235
统计接触压力最小值	20 ~ 40	−5 ~ 20	52.365	32.154
实际接触力最大值	175 ~ 210	190 ~ 225	175.258	177.235
实际接触力最小值	50 ~ 75	30 ~ 55	52.365	32.154

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表 3 不同K_H下的标准压力差

Table 3. Standard pressure difference for different K_H values

K_H/（N·m⁻¹）	f_z2/Hz	f_z2 − f_d	压力标准差
20000	9.2370	−4.643	24.77
25000	10.317	−3.563	23.22
30000	11.293	−2.587	20.19
35000	12.192	−1.688	16.86
40000	13.029	−0.851	10.36
45000	13.816	−0.064	6.76
50000	14.560	0.68	10.56
55000	15.267	1.387	15.34
60000	15.944	2.064	22.46
65000	16.593	2.713	23.02
70000	17.217	3.337	23.23

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表 4 不同M_F下的压力标准差

Table 4. Standard deviation of pressure for different M_F values

M_F/kg	谐振频率/Hz	f_z2− f_d	压力标准差
10	17.217	3.337	26.15
15	15.387	1.507	22.32
20	14.389	0.509	18.39
25	13.757	−0.123	9.79
30	13.319	−0.561	15.36
40	12.751	−0.129	14.22
80	11.849	−0.031	22.35
100	11.661	−0.219	22.53
500	11.034	−0.846	25.34

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参考文献(15)

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