在多流制电力机车中,牵引主变压器充当变压器和直流滤波电感两种角色时,能提高牵引传动系统的设备利用率,降低系统占用空间和质量。为了解决牵引绕组被用作直流滤波电感时端口电感计算模型非线性及建模复杂等问题,本文结合多绕组牵引主变压器的端口电压方程,提出了一种基于降阶电感矩阵法的直流滤波电感计算新方法;首先详细推导出电感矩阵降阶算法的通用计算式;其次,根据牵引绕组用作直流滤波电感时不同的接线方案,建立牵引主变压器的端口电压方程组,并将降阶后获得电感参数代入到端口电压方程组中,再依据变压器的端口边界条件,即可推导求得直流滤波电感的计算式。最后,以南非多流制牵引主变压器为例,采用本文提出的新算法对牵引绕组用作直流滤波电感的两种典型接线方法条件下的滤波电感进行了计算,并与试验结果进行了对比分析,结果表明该方法能准确计算出直流滤波电感量。这对实现牵引主变压器阻抗参数与多流制牵引传动系统参数的优化匹配具有重要的工程应用价值。
In multisystem electric locomotives, when the traction main transformer plays two roles as the transformer and the DC filter reactor, it can increase the device availability of traction systems and can decrease the space and weight. For solving the problems including establishing its nonlinear and complicated model of calculating the filter inductance, taking the port voltage equations of the multi-winding transformer into account, a new method was proposed to calculate the DC filter inductance based on the reduced-order inductance matrix. Firstly, the common expression of the reduced-order inductance matrix was deduced. Then according to different winding connecting schemes, the port voltage equations were established, and the parameters in the reduced-order inductance matrix substitute the ones in the equations. Afterwards, based on the port boundary conditions, the calculating expression of the filter inductance was obtained. Lastly, taking the South Africa multisystem traction transformer for example, the results calculated by the proposed method were compared with the testing ones under two classical connecting schemes, which indicates that the proposed method can calculate the DC filter inductance accurately. It is of important engineering value to match optimally impedances of the traction transformer with system parameters in the multisystem electric locomotive.