Figure 2.33 gives the general Δ -Y transformation. (a) Show that the general transformation reduces to that given in Figure 2.16 for a balanced three-phase load. (b) Determine the impedances of the equivalent Y for the following Δ impedances: Z AB = j 10 , Z BC = j 20 , and Z CA = − j 25 Ω . Z AB = Z A Z B + Z B A C + Z C Z A Z C Z A = Z AB Z CA Z AB + Z BC + Z CA Z BC = Z A Z B + Z B A C + Z C Z A Z A Z B = Z AB Z BC Z AB + Z BC + Z CA Z CA = Z A Z B + Z B A C + Z C Z A Z B Z A = Z CA Z BC Z AB + Z BC + Z CA
Figure 2.33 gives the general Δ -Y transformation. (a) Show that the general transformation reduces to that given in Figure 2.16 for a balanced three-phase load. (b) Determine the impedances of the equivalent Y for the following Δ impedances: Z AB = j 10 , Z BC = j 20 , and Z CA = − j 25 Ω . Z AB = Z A Z B + Z B A C + Z C Z A Z C Z A = Z AB Z CA Z AB + Z BC + Z CA Z BC = Z A Z B + Z B A C + Z C Z A Z A Z B = Z AB Z BC Z AB + Z BC + Z CA Z CA = Z A Z B + Z B A C + Z C Z A Z B Z A = Z CA Z BC Z AB + Z BC + Z CA
Figure 2.33 gives the general
Δ
-Y transformation. (a) Show that the general transformation reduces to that given in Figure 2.16 for a balanced three-phase load. (b) Determine the impedances of the equivalent Y for the following
Δ
impedances:
Z
AB
=
j
10
,
Z
BC
=
j
20
, and
Z
CA
=
−
j
25
Ω
.
Z
AB
=
Z
A
Z
B
+
Z
B
A
C
+
Z
C
Z
A
Z
C
Z
A
=
Z
AB
Z
CA
Z
AB
+
Z
BC
+
Z
CA
Z
BC
=
Z
A
Z
B
+
Z
B
A
C
+
Z
C
Z
A
Z
A
Z
B
=
Z
AB
Z
BC
Z
AB
+
Z
BC
+
Z
CA
Z
CA
=
Z
A
Z
B
+
Z
B
A
C
+
Z
C
Z
A
Z
B
Z
A
=
Z
CA
Z
BC
Z
AB
+
Z
BC
+
Z
CA
VRY = 220 cis 0°, VYB = 220 cis -120° and VBR = 220 cis -240°. IR = 10 cis 0°. The load isbalanced and delta connected. Determine the: (a) Impedance per phase (b) Current perphase (c) Line currents.
5. The figure below shows two star connected loads with three phase power. The
voltage source is 120Z0°. The loads are Z₁ = 10 + j4 № and Z₂ = 2 +j3 №. The
cables are negligible.
Calculate:
a)
the line and phase current.
b) the real power from the source.
c) the reactive power of the circuit.
Is
V
N
Z₁
Z₁ Z₁
Z₂
Z₂
N
N
Z₂
Solve the question from point 4 to point 11
Chapter 2 Solutions
Power System Analysis and Design (MindTap Course List)
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Power System Analysis and Design (MindTap Course ...Electrical EngineeringISBN:9781305632134Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. SarmaPublisher:Cengage Learning