Part i ii and iii have been already answered. Please show steps to obtain part iv only. i have attatched parts i to iii.

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Part i ii and iii have been already answered. Please show steps to obtain part iv only. i have attatched parts i to iii.


You have been privately contacted to rewire a site. During a visit, you observed that the building receives a 400V, 60Hz, star-connected, three-phase supply from the utility. There are also several three-phase equipment that require a 230V three-phase supply. You have decided to utilize three single-phase, dry type transformers to step down the building’s incoming supply to a 230V, delta-connected supply for the equipment. All the three-phase machinery can be modelled as an equivalent balanced three-phase star-connected load with a resistance and inductance of 0.5Ω and 0.16mH respectively per phase. Some preliminary calculations and analysis are required before starting the wiring design.

Assuming the transformer is ideal and lossless and that all neutrals are grounded, calculate:
i)The phase voltages of the star-connected load.
ii)The line currents between the transformer and load
iii)The phase currents in the transformer secondary windings
iv)The total apparent power supplied to the load

Step 2
(i)
The secondary winding of the transformer is delta connected and the load is star connected.
The single-phase voltage of the delta-connected transformer is 230 V.
So, the single-phase voltage of the star-connected load is,
V,
Vph
230
= 132. 79 V
(ii)
The load inductive reactance is,
XL = 2 x 1 xfxL
= 2xax 60 x 0. 16 × 10-3
= 0.06 2
The line current between the transformer and load is,
IL
R1,+jX1.
132.79
0.5+j0.06
= 263. 6882 – 6. 84° A
(i)
The phase current in transformer secondary winding is,
Iph
263.6882-6.84
V3
= 152. 242 – 6. 84° A
Transcribed Image Text:Step 2 (i) The secondary winding of the transformer is delta connected and the load is star connected. The single-phase voltage of the delta-connected transformer is 230 V. So, the single-phase voltage of the star-connected load is, V, Vph 230 = 132. 79 V (ii) The load inductive reactance is, XL = 2 x 1 xfxL = 2xax 60 x 0. 16 × 10-3 = 0.06 2 The line current between the transformer and load is, IL R1,+jX1. 132.79 0.5+j0.06 = 263. 6882 – 6. 84° A (i) The phase current in transformer secondary winding is, Iph 263.6882-6.84 V3 = 152. 242 – 6. 84° A
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