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.
作者
安逸
赵斌
AN Yi;ZHAO Bin(School of Automation&Electrical Engineering,Lanzhou Jiaotong University,Lanzhou 730070)
出处
《电气工程学报》
CSCD
北大核心
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)。
