Let a voltage source v ( t ) = 4 cos ( ω t + 60 ° ) be connected to an impedance Z = 2 ∠ 30 ° Ω . (a) Given the operating frequency to be 60 Hz, determine the expressions for the current and instantaneous power delivered by the source as functions of time. (b) Plot these functions along with v ( t ) on a single graph for comparison. (c) Find the frequency and average value of the instantaneous power.
Let a voltage source v ( t ) = 4 cos ( ω t + 60 ° ) be connected to an impedance Z = 2 ∠ 30 ° Ω . (a) Given the operating frequency to be 60 Hz, determine the expressions for the current and instantaneous power delivered by the source as functions of time. (b) Plot these functions along with v ( t ) on a single graph for comparison. (c) Find the frequency and average value of the instantaneous power.
Let a voltage source
v
(
t
)
=
4
cos
(
ω
t
+
60
°
)
be connected to an impedance
Z
=
2
∠
30
°
Ω
. (a) Given the operating frequency to be 60 Hz, determine the expressions for the current and instantaneous power delivered by the source as functions of time. (b) Plot these functions along with v(t) on a single graph for comparison. (c) Find the frequency and average value of the instantaneous power.
B) A 60-Hz generator is supply ing 60% of P max to an infinite bus through a reactive network.
A fault occurs which increases the reactance of the network between the generator internal
voltage and the infinite bus by 400%. When the fault is cleared, the maximum power that can
be delivered is 80% of the original maximum value. Determine the critical clearing angle for
the condition described.
Q3)
A: A generator operating at 50 Hz delivers 1 pu power to an infinite bus through a transmission
circuit in which resistance is ignored. A fault takes place reducing the maximum powe transferable
to 0.5 pu whereas before the fault, this power was 2.0 pu and after the clearance of the fault, it is
1.5 pu. By the use of equal area criterion, determine the critical clearing angle.
4. For the periodic signal shown in Fig. 4;
a) Find the exponential Fourier Series for y(t).
b) Use Parseval's Theorem to compute the total power contained in the 4th harmonic and all higher
harmonics.
2+
y(t)
+
-2л
-л
0
2л
Зл
4л
Fig. 4
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