전차선 집중질량 모델과 분포질량 모델의 비교 해석

When we simulate the railway catenary systems to find out the contact force between the trolley wire and the running pantograph or uplift displacement of the trolley wire, the lumped mass model is widely used for its convenience of applying the complicated elements of the catenary systems to the model. Decreasing the distance between the lumped masses tends to approach the distributed model but increases the dimension of the states equation, which results in escalated numerical error and extended calculating time. In this study, we have found the general solution of the distributed model by exploiting the Green’s function and compared the results from the lumped model with altering the distance between masses to deduce the appropriate distance which maintains the excellency of calculating time and the accuracy.