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
I need help in creating a matlab code to find the currents USING MARTIXS AND INVERSE to find the current
Problem 3
(a) Consider
x[n]
=
{
0,
1, 0 ≤ n ≤N-1
otherwise
_and_h[n] = {
1, 0 ≤ n ≤M-1
0, otherwise
with N > M. Plot the sequence y[n] = x[n] × h[n]. Make sure to specify the amplitude values
*
and time indices n of y[n] where y[n] is constant.
(b) Express the number L of samples of y[n] that are non-zero in terms of M and N.
(c) Consider
x'[n]
=
{
0,
1, N₁ ≤ n ≤ N₂
otherwise
1, M₁n M₂
and h'[n] =
=
0, otherwise
',
and assume that №2 - N₁ = N-1 and M2 - M₁
=
x'[n] h'[n] is equal to a shifted version of y[n]. What is the value of the shift?
-
= M 1. Show that the sequence y'[n]
=
Home Work
Calculate I, and I2 in the two-port of Fig. below
20
211=602
2/30° V
V₁
%12=-142
721=-j4 2
Z22=82
+
V₂
94
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