Three identical impedances Z Δ = 30 ∠ 30 ° Ω are connected in Δ to a balanced three-phase 208-V source by three identical line conductors with impedance Z L = ( 0.8 + j 0.6 ) Ω per line. (a) Calculate the line-to-line voltage at the load terminals. (b) Repeat part (a) when a s-connected capacitor bank with reactance ( − j 60 ) Ω per phase is connected in parallel with the load.
Three identical impedances Z Δ = 30 ∠ 30 ° Ω are connected in Δ to a balanced three-phase 208-V source by three identical line conductors with impedance Z L = ( 0.8 + j 0.6 ) Ω per line. (a) Calculate the line-to-line voltage at the load terminals. (b) Repeat part (a) when a s-connected capacitor bank with reactance ( − j 60 ) Ω per phase is connected in parallel with the load.
Solution Summary: The line-to-line voltage at the loads terminals is 203.1angle 0.649°V. In Delta -connected network, the phase current is equal to
Three identical impedances
Z
Δ
=
30
∠
30
°
Ω
are connected in
Δ
to a balanced three-phase 208-V source by three identical line conductors with impedance
Z
L
=
(
0.8
+
j
0.6
)
Ω
per line. (a) Calculate the line-to-line voltage at the load terminals. (b) Repeat part (a) when a s-connected capacitor bank with reactance
(
−
j
60
)
Ω
per phase is connected in parallel with the load.
A 415 V, 57 Hz 3-phase supply is connected
to a 3-phase star connected balanced R-L
load each of resistance 13.63 ohm and
impedance 65.27 ohm. Find the value of
inductance in each phase.
O 63.83
O 0.18
O 32.63
O 7.19
Three Impedances each of (9 - j18)N are
connected in mesh across a three-phase 415V ac
supply. Determine the phase current, line current,
active power, reactive power drawn from supply.
Also draw the Phasor diagram for the mesh
connection and marks the Line current ,phase
current line voltage and phase angle between
phase current and pahse voltage.
phase current (Ip)
Line current
real power
reactive power
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
Chapter 2 Solutions
Power System Analysis and Design (MindTap Course List)
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