how to transform from, to delta and star

1. Delta Star Transformation
Delta Network Star Network

2. Star 2 Delta
A = ‫ـــــــــــــــــــــــــــــ‬
PQ + QR + RP
R
B = ‫ـــــــــــــــــــــــــــــ‬
PQ + QR + RP
Q
C = ‫ـــــــــــــــــــــــــــــ‬
PQ + QR + RP
P
Delta Star Transformation

3. Delta Star Transformation
Delta 2 Star
P = ‫ـــــــــــــــــــــ‬
AB
A + B + C
R = ‫ـــــــــــــــــــــ‬
BC
A + B + C
Q = ‫ـــــــــــــــــــــ‬
AC
A + B + C
Delta Star Transformation

4. Example : find RT
Delta Star Transformation

5. Example : find RT
Delta Star Transformation

6. Example: Convert the delta network into an
equivalent Star network?
R2 = ‫ـــــــــــــــــــــــــ‬
RBRC
RA + RB + RC
R3 = ‫ـــــــــــــــــــــــــ‬
RARB
RA + RB + RC
R1 = ‫ـــــــــــــــــــــــــ‬
RARC
RA + RB + RC
Delta Star Transformation

7. 4Ω
56Ω
80Ω
A
B
RAB
80Ω
2Ω2Ω
3Ω
2Ω2Ω
3Ω
Delta Star Transformation
Example: Find the total resistance between
A&B terminals?

8. Delta Star Transformation
Example: Find the total resistance between
A&B terminals?

9. 4Ω
56Ω
80Ω
A
B
RAB
80Ω
16/3Ω
2Ω2Ω
3Ω
2Ω2Ω
3Ω
16/3Ω
4Ω
56Ω
80Ω
A
B
RAB
80Ω
16/3Ω
16/3Ω
Delta Star Transformation

10. 8/3Ω
7Ω
5Ω
A
B
RAB
5Ω
4Ω
56Ω
80Ω
A
B
RAB
80Ω
16/3Ω
16/3Ω
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Delta Star Transformation

11. 8/3Ω
7Ω
5Ω
A
B
RAB
5Ω
Series
8/3Ω
A
B
RAB
5Ω
RAB = 2 Ω
Series
Delta Star Transformation