Homework 9: For the 3 three-phase transformer connections shown, the line-neutra

Question

Homework 9:

For the 3 three-phase transformer connections shown, the line-neutral voltages on the high voltage side (H windings) are balanced three-phase positive sequence (a leads b, b leads c) 277V. Assume the reference phase angle of zero degrees is on the line-neutral phase a voltage, Van, on the H winding.

Windings shown geometrically in parallel are part of the same single-phase transformer.

Note that each single-phase transformer in (a) has 3 windings, each in (b) has 4 windings, and each in (c) has 2 windings.  

Windings marked “N” all have the same number of turns.
Windings marked “2N” have twice as many turns as the ones marked “N.”

Calculate these voltages for each three-phase transformer:
HA to HB
XA to XB
MA to MB

Calculate the three-phase turns ratios (magnitude and angle for Vab on H to Vab on M, and magnitude and angle for Vab on H to Vab on X) for each set of windings.

b: H leads X by 90, H leads M by 30.  
c: Vxaxb is 181 V at an angle of 49 degrees

need full sulution please

Explanation / Answer

Question diagrams are not clear in figures (c). No. of Turns at each winding represent perfectly.

Please draw in a dark colour to solve this problem.

I can damn sure to solve it.

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