A small manufacturing plant is located 2 km down a transmission line, which has a series reactance of 0.5 Ω / km . The line resistance is negligible. The line voltage at the plant is 480 ∠ 0 ° V ( rms ) . and the plant consumes 120 kW at 0.85 power factor lagging. Determine the voltage and power factor at the sending end of the transmission line by using (a) a complex power approach and (b) a circuit analysis approach.
A small manufacturing plant is located 2 km down a transmission line, which has a series reactance of 0.5 Ω / km . The line resistance is negligible. The line voltage at the plant is 480 ∠ 0 ° V ( rms ) . and the plant consumes 120 kW at 0.85 power factor lagging. Determine the voltage and power factor at the sending end of the transmission line by using (a) a complex power approach and (b) a circuit analysis approach.
A small manufacturing plant is located 2 km down a transmission line, which has a series reactance of
0.5
Ω
/
km
. The line resistance is negligible. The line voltage at the plant is
480
∠
0
°
V
(
rms
)
. and the plant consumes
120
kW
at 0.85 power factor lagging. Determine the voltage and power factor at the sending end of the transmission line by using (a) a complex power approach and (b) a circuit analysis approach.
+
2) Acircuit is given as shown.
(a) Find and label the circuit nodes
(6) Determine voltages V₁, V2, V3 and Vy
4V C/E
노동
+ 051
V4 +
C/E
+ 3V-
+
/E5V
1
av
+
C
E
uk
لا
+
V3C/E
CIE
+
E6V
-
Consider the following transformer circuit assuming an ideal transformer. In this circuit
the signal generator will provide a 10-Volt peak-to-peak sinusoidal signal at a frequency
of 1.0 kHz. Assume that L₁ = 0.65 H, L2 = 0.00492 H (=4.92 mH) and that the coupling
constant = 0.99925.
+
VG1(
R1 1k
N1:N2
11.5:1
12
V1 N1
N2
V2
R2 8.2
1) Find the following using the theory presented in the prelab reading:
a) Start with Equations (2) of the prelab reading and show that the input impedance
to an ideal transformer is given by the equation for Z1 (=V1/11) in Equations (4) of
the prelab reading.
Equations (2) are: V₁ = joLI₁ + jœMI₂ and V₂ = j@MI₁ +j@L₂I₂
The equation for the input impedance is: Z₁ = 1½ = jwL₁ +
(WM)²
jwL₂+ZL
b) Assuming that Z is a real impedance, find the equations for the real and
imaginary parts of Z1.
c) Use your equations from part (b) to calculate the value of the input impedance
(Z) at an operating frequency of 200 Hz. Assume that the load impedance is 8.2
Ohms…
HANDWRITTEN SOLUTION PLEASE NOT USING AI
Chapter 2 Solutions
MindTap Engineering for Glover/Overbye/Sarma's Power System Analysis and Design, 6th Edition, [Instant Access], 1 term (6 months)
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