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摘要: 利用微元法, 推导了钢轨感应电流的数学模型。以大秦铁路实时同步测试数据为基础, 分析了电气化铁道钢轨感应电流的形成机理、分布特性、影响因素及其对钢轨电压的影响。实测数据对比表明: 该模型误差在10%以内, 可以满足工程要求; 机车与牵引变电所的距离越大, 钢轨感应电流越大, 其分布为中间大, 两端小; 衰减常数越大, 钢轨感应电流越大, 感应电流饱和速度越快; 钢轨感应电流具有降低钢轨电压的效果, 机车与牵引变电所的距离越大, 效果越明显, 随着距离的增加, 感应电流对钢轨电流输入点的电压最大可以降低55%。Abstract: The mathematical model of induced current for rail was deduced by using infinitesimal method.On the basis of the real-time synchronous testing data of the Da-Qin Railway, the formation mechanism, distribution characteristic, influencing factors of induced current and its influence on rail voltage were analyzed in detail.Computation result shows that the error of the model is less than 10% and it can satisfy the engineering data requirements.The farther the distance between locomotive and traction substation, the bigger induced current becomes, whose distribution is great in the middle and little at both ends.The bigger damping constant is, the bigger induced current becomes, the faster its saturated velocity is.Induced current has effect to reduce rail voltage.The farther the distance between locomotive and traction substation, the more obvious the effect becomes.With the increasing distance, induced current can reduce the voltage by 55% at current enter point.
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Key words:
- electrified railway /
- rail /
- induced current /
- distribution characteristic /
- damping constant
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图 5 机车在不同位置时钢轨感应电流分布
Figure 5. Induced current distributions of rail with position change of locomotive
图 6 感应电流最大值随l的变化曲线
Figure 6. Variation curves of maximal induced currents with change of l
图 7 不同衰减常数的感应电流分布
Figure 7. Distributions of induced currents under different damping constants
图 8 感应电流最大值随衰减常数变化曲线
Figure 8. Variations curves of the maximal induced currents with damping constant
图 10 电流输入点电压随机车位置的变化
Figure 10. Variations curves of voltages at enter point of current with position change of locomotive
图 11 感应电流引起的钢轨电压分布
Figure 11. Distributions of rail voltages caused by induced currents
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