The electric locomotive moves at a constant speed of 46.8 km / h, developing at this speed a traction force of 216 kN.

| January 17, 2021 | education

The electric locomotive moves at a constant speed of 46.8 km / h, developing at this speed a traction force of 216 kN. The efficiency of the electric locomotive engine is 78%. What is the current in the motor winding if the mains voltage is 3000 V?

To solve the problem, let’s translate km / h into m / s, and kN into N.

V = 46.8 km / h = 46800 m / 3600 s = 13 m / s;

F = 216 kN = 216000 N.

Let’s calculate the power that is needed to maintain movement

N = V * F = 13 * 216000 = 2808000 W.

Let’s find the power of the electric locomotive when doing this work

Efficiency = 78% / 100% = 0.78;

Ne = N / efficiency = 2808000 W / 0.78 = 3600000 W.

Find the current in the motor

I = Ne / U = 3600000 W / 300 V = 12000 A.

Answer: the current in the motor winding is 12000 A.



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