Question

A three-phase Y-connected 50-Hz two-pole synchronous machine has a stator with 2000 turns of wire per phase. What rotor flux would be required to produce a terminal (line-to-line) voltage of 6 kV (rms value)?

Answer 1

The answer is "0.0045 Wb"

Step-by-step explanation:

Using formula:

`\to E_A= √(2) \pi N_c f \phi\\\\\to \phi = (E_A)/(√(2) \pi N_c f)\\\\` .......(a)

Calculating the phase voltage of the machine:

`V_\phi = (V_L)/(√(3))`

`= (4.16 * 10^3)/(√(3))\\\\=2401.7`

Substitute the value from equation (a):

`\phi= (2401)/(√(2) * \pi * 2000 * 60)`

`=4.503 * 10^(-3)\\\\= 0.0045 \ wb`

The rotor flux = 0.0045 Wb