Numerical Modeling and Verification of Rolling Stock Braking Anti-skid Control System
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摘要: 基于轨道车辆制动系统三位式防滑阀工作原理,建立防滑阀数学模型,进行充排气特性仿真分析;依次建立电空转换阀、紧急阀及中继阀等阀类数学模型,构建空气制动单元模型;针对制动防滑控制系统,建立防滑控制单元及制动动力学单元模型,结合空气制动单元模型搭建四轴车辆制动防滑控制数值仿真平台;利用数值仿真平台进行列车制动防滑性能仿真分析,并通过制动距离、车速及滑动量误差量3个指标与实车在线试验数据对比。结果表明:制动距离仿真值与试验值误差小于5%;车速仿真曲线和试验曲线吻合较好,二者任意时刻的差值小于3 km/h;各个滑动间隔内的滑动量误差平均值小于20%;三者均满足指标要求,验证了所建四轴车辆制动防滑控制模型的有效性。Abstract: Based on the working principle of the three-position anti-skid valve of the rolling stock braking system, a mathematical model of the anti-skid valve is established, and the simulation analysis of the charging and exhaust characteristics is carried out; And the mathematical models of electro-pneumatic switching valves, emergency valves, and relay valves are established in order to construct air brake unit models; Then, for the brake anti-skid control system, the anti-skid control unit and brake dynamics unit models are established, combined with the air brake unit model to build a four-axle vehicle braking anti-skid control numerical simulation platform. Finally, the numerical simulation platform is used to simulate and analyze the braking anti-skid performance of the train, and compare with actual vehicle online test data through three indicators of braking distance, vehicle speed and slippage error. The results show that: the error between the braking distance simulation value and the test value is less than 5%; The vehicle speed simulation curve and the test curve are in good agreement, and the difference between the two at any time is less than 3 km/h; The average value of slippage error in each sliding interval is less than 20%. All three meet the indicator requirements, verifying the effectiveness of the built four-axle vehicle brake anti-skid control model.
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Key words:
- rolling stock /
- braking system /
- anti-skid control /
- numerical modeling
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表 1 仿真模型部分参数
Table 1. Some parameters of the simulation model
仿真参数 数值 进气口输入压力pi/kPa 500 工作电压U/V 24 线圈匝数N 200 励磁线圈阻值R/Ω 20 磁路工作气隙最大长度δl/m 0.000 1 工作气隙横截面直径D/m 0.007 动铁芯质量m/kg 0.005 动铁芯所受气压作用直径di/m 0.004 运动阻尼系数Ci/(N·s·m-1) 0.2 膜片质量m′/kg 0.008 膜片最大位移ximax′/m 0.001 进气膜片左侧受力直径dHl′/m 0.022 排气膜片左侧受力直径dRl′/m 0.04 表 2 制动性能参数的仿真值与试验值对比
Table 2. Comparison of simulation values and test values of braking performance parameters
参数 仿真 试验 误差 制动距离 713.42 m 712.09 m 0.19% 制动时间 44.82 s 44.72 s 0.22% 平均减速度 0.541 m/s2 0.542 m/s2 0.18% 表 3 不同滑动间隔下的仿真与试验滑动量总和误差结果
Table 3. Error results of the sum of simulation and test sliding momentum at different sliding intervals
滑动间隔 车轴 ASsim/% ASreal/% erroraxle-n/% E/% 0≤S<5% 1 48.84 37.36 30.72 19.19 2 46.12 56.04 17.70 3 45.86 53.85 14.83 4 46.15 53.35 13.50 5%≤S<10% 1 42.98 42.76 0.52 18.96 2 43.53 33.07 31.63 3 43.71 35.26 23.94 4 43.78 36.56 19.74 10%≤S<20% 1 7.55 19.38 61.02 17.82 2 9.64 9.99 3.48 3 9.20 9.79 5.99 4 9.06 8.99 0.79 20%≤S<30% 1 0.63 0.50 25.70 16.73 2 0.71 0.90 21.47 3 1.23 1.10 11.52 4 1.01 1.10 8.22 30%≤S 1 0.00 0.00 - - 2 0.00 0.00 - 3 0.00 0.00 - 4 0.00 0.00 - -
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