钢轨内自感的计算及影响因素分析  

Calculation of Rail Internal Inductance and Analysis of Its Influence Factors

作　　者：朱峰[1] 李朋真 李嘉成[1] 李鑫[1] 沈迪[2] 

机构地区：[1]西南交通大学电气工程学院,四川成都610031 [2]长春轨道客车股份有限公司,吉林长春130062

出　　处：《中国铁道科学》2016年第5期108-113,共6页China Railway Science

基　　金：国家自然科学基金重点资助项目(U13403)

摘　　要：根据电流与磁链相互作用的机理,给出磁链的计算公式;利用涡流方程,推导出钢轨任意等效半径处的牵引电流密度。在此基础上,充分考虑牵引电流的密度沿径向衰减及其相位变化对钢轨内自感的影响,推导出用级数表示的钢轨内自感的解析式。分析影响钢轨内自感的因素可知:钢轨内自感与牵引电流、牵引电流密度相位、牵引电流频率和钢轨等效半径这4个因素成非线性关系;当钢轨磁通没有达到饱和时,钢轨内自感随着牵引电流的增大而增大,当钢轨磁通达到饱和时,钢轨内自感随着牵引电流的增大而略有减小;钢轨内自感随着牵引电流频率、钢轨等效半径的增加而减小。Based on the mechanism of the interaction between current and flux linkage,the calculation formula of flux linkage was given.The traction current density at any equivalent radius of rail was deduced by eddy equation.On this basis,by fully considering the effects of the attenuation of traction current density along radial direction and phase changes on rail internal inductance,the analytic formula expressed in terms of series for rail internal inductance was derived.The analysis of influence factors for rail internal inductance indicated that there was a nonlinear relationship between rail internal inductance and traction current,traction current density phase,traction current frequency and rail equivalent radius.When rail flux did not reach saturation,rail internal inductance increased with the increase of traction current.When rail flux reached saturation,rail inductance decreased slightly with the increase of traction current.Rail inductance decreased with the increase of traction current frequency and rail equivalent radius.

关 键 词：钢轨内自感 磁链 涡流方程 牵引电流 牵引电流密度相位 牵引电流频率 钢轨等效半径 

分 类 号：U284.22[交通运输工程—交通信息工程及控制]