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Objectives
1. To be able able to transform transform a circuit circuit into into a delta delta or or wye. wye. 2. To compute compute the parameters parameters of a circui circuitt which is neithe neitherr parallel parallel nor series. series. 3. To familiar familiarize ize the use use of a softwar softwaree in solving solving circuit circuit problems. problems.
List of Instruments
Personal Computer
Wiring Diagrams
A) Delta V
A
1
1
R 1 =
A
6Ω 8 0
2
Ω
5
0 D
V
V
C
2
Ω
Ω
0
0
7
3
4
3
=
=
2
3
R
R
0
V
0 0
3
1 = L
R
B) Wye
A
1
R a =
2Ω 1 5
R b =
1Ω 5 2
0 D
V C
0 0
5
V
2
0 1
2
Ω
Ω
5
A
V
3
0 1
=
=
c
L
R
R
C) For R eq eq
R
e
q
Ω
Ω
0
0
2
6
4
- - >
0Ω
Ω
Ω
0
0
1
5
2
0Ω
* Computations A) Δ – Y: R A = R 1R 2 / R 1 + R 2 + R 3 = 680(470) / 680 + 470 + 330 = 215.95 Ω R A = R 1R 3 / R 1 + R 2 + R 3 = 680(330) / 680 + 470 + 330 = 151.62 Ω R A = R 2R 3 / R 1 + R 2 + R 3 = 470(330) / 680 + 470 + 330 = 104.8 Ω B) Y – Δ: R 1 = R aR b + R bR c + R aR c / R c = 215(105) + 105(152) + 152(215) / 105 = 678.23 Ω R 2 = R aR b + R bR c + R aR c / R a = 215(105) + 105(152) + 152(215) / 215 = 331.23 Ω R 3 = R aR b + R bR c + R aR c / R b = 215(105) + 105(152) + 152(215) / 152 = 468.52 Ω
Data Sheet
A) Delta B) Wye C) R eq eq
I1(mA) 160.26 160.65
I1(mA) 13.37 13.42
V1(V) 36.63 36.58 24.06 Ω
V1(V) 50 50
V1(V) 13.37 13.42
Problems and Solution
* Solve for I1, I2, V1, V2, V3 using any circuit analysis technique for figures A and B.
Analysis
Delta-Wye transformation is used for elements connected neither in series nor in parallel. It is very useful if limited resistors are in procession for a delta or wye circuit each have their own unique resistance. In this experiment, two circuit are assembled usin using g a comp comput uter er,, and and the the volt voltag agee and curr curren entt had been been meas measur ured ed auto automa mati tica call lly. y. Unsurprisingly, the parameters were almost equal, this is therefore proven that both circuits are the same. To solve for the resistances certain formulas are given above.
Conclusion
Transformation of a circuit into a delta and wye had been performed, including the techniques in solving for the resistances. A software application in circuit analysis had been used to maximize the time. This method is useful in simplifying circuits.