Step 1: Electric Traction Power System Electric railway traction systems predominantly use single-phase 25 kV AC at 50 Hz, which is the global standard for high-speed and mainline railways.
Step 2: Why 25 kV AC?
- High Voltage (25 kV) Benefits: Reduces current and minimizes power losses.
- AC vs. DC: AC systems allow for efficient power transmission over long distances.
- 50Hz Frequency: Compatible with most power grids worldwide.
Step 3: Evaluating options:
- (A) Correct: 25 kV AC at 50 Hz is the standard for electric traction.
- (B) Incorrect: DC traction is used in older urban metro systems, but high-speed rail uses AC.
- (C) Incorrect: 50 kV is not a standard traction voltage.
- (D) Incorrect: 50 kV DC is not used in railway traction.
Let \( G(s) = \frac{1}{(s+1)(s+2)} \). Then the closed-loop system shown in the figure below is:
The open-loop transfer function of the system shown in the figure is: \[ G(s) = \frac{K s (s + 2)}{(s + 5)(s + 7)} \] For \( K \geq 0 \), which of the following real axis point(s) is/are on the root locus?
A closed-loop system has the characteristic equation given by: $ s^3 + k s^2 + (k+2) s + 3 = 0 $.
For the system to be stable, the value of $ k $ is: