基于分数阶传输线理论的ZPW-2000A轨道电路暂态分析  

Transient Analysis of ZPW-2000A Rail Circuit Based on Fractional Order Transmission Line Theory

作　　者：安逸 赵斌[1] AN Yi;ZHAO Bin(School of Automation&Electrical Engineering,Lanzhou Jiaotong University,Lanzhou 730070)

机构地区：[1]兰州交通大学自动化与电气工程学院,兰州730070

出　　处：《电气工程学报》2024年第3期443-450,共8页Journal of Electrical Engineering

基　　金：国家自然科学基金资助项目(51967010)。

摘　　要：在实际的电路系统中,电感和电容具有分数阶特性,若完全用整数阶模型去描述,会存在误差,同时,现有方法对轨道电路端接频变负载、考虑由集肤效应引起的高频损耗问题,具有处理难度大、耗时长的缺陷。基于此,提出一种在复频域内对ZPW-2000A型轨道电路接收端轨面电压的求解方法。首先,建立轨道电路分数阶传输线模型;其次,利用节点导纳法结合商差(Quotient-difference,Q-D)算法对轨面电压进行求解;最后,通过与时域有限差分法对比验证了所提方法的正确性,分析了在不同暂态信号激励下轨道电路受电端过电压的影响规律。结果表明,轨道电路分数阶传输线模型符合轨面电压传播规律,为轨道电路的准确建模提供了理论参考。In practical circuit systems,inductance and capacitance have fractional-order characteristics,and attempting to describe them solely with integer-order models can introduce errors.Furthermore,existing methods for dealing with rail circuit termination to variable-frequency loads and addressing high-frequency losses induced by skin effects are fraught with challenges and time-consuming.Therefore,a method is proposed for solving the rail surface voltage at the receiving end of the ZPW-2000A rail circuit in the complex frequency domain.Firstly,a fractional-order transmission line model for the rail circuit is established.Subsequently,the node admittance method,in conjunction with the Quotient-difference(Q-D)algorithm,is employed to solve for the rail surface voltage.Finally,the correctness of this proposed method is validated through comparison with the time-domain finite-difference method,and the impact of overvoltage at the rail circuit’s power-receiving end under various transient signal excitations is analyzed.The results demonstrate that the fractional-order transmission line model for the rail circuit conforms to the propagation characteristics of rail surface voltage,providing a theoretical reference for the accurate modeling of rail circuits.

关 键 词：轨道电路 集肤效应 分数阶微积分 Q-D算法 暂态过电压 

分 类 号：U284[交通运输工程—交通信息工程及控制]