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

  • 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。

     

    Abstract: 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.

     

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