Two three-phase generators supply a three-phase load through separate three-phase lines. The load absorbs 30 kW at 0.8 power factor lagging. The line impedance is ( 1.4 + j 1.6 ) Ω per phase between generator G 1 and the load, and ( 0.8 + j 1 ) Ω per phase between generator G 2 and the load. If generator G 1 supplies 15 kW at 0.8 poir factor lagging, with a terminal voltage of 460 V line-to-line, determine (a) the voltage at the load terminals. (b) the voltage at the terminals of generator G 2 , and (c) the real and reactive power supplied by generator G 2 . Assume balanced operation.
Two three-phase generators supply a three-phase load through separate three-phase lines. The load absorbs 30 kW at 0.8 power factor lagging. The line impedance is ( 1.4 + j 1.6 ) Ω per phase between generator G 1 and the load, and ( 0.8 + j 1 ) Ω per phase between generator G 2 and the load. If generator G 1 supplies 15 kW at 0.8 poir factor lagging, with a terminal voltage of 460 V line-to-line, determine (a) the voltage at the load terminals. (b) the voltage at the terminals of generator G 2 , and (c) the real and reactive power supplied by generator G 2 . Assume balanced operation.
Two three-phase generators supply a three-phase load through separate three-phase lines. The load absorbs 30 kW at 0.8 power factor lagging. The line impedance is
(
1.4
+
j
1.6
)
Ω
per phase between generator
G
1
and the load, and
(
0.8
+
j
1
)
Ω
per phase between generator
G
2
and the load. If generator
G
1
supplies 15 kW at 0.8 poir factor lagging, with a terminal voltage of 460 V line-to-line, determine (a) the voltage at the load terminals. (b) the voltage at the terminals of generator
G
2
, and (c) the real and reactive power supplied by generator
G
2
. Assume balanced operation.
A left-sided signal x(t)=-e¯bt u(-t):
0
==
X(s) -e-bu(t)e-st dt
=-
-Le-c
1
-(b+o+jw)t
dt =
=
-00
-∞
(a + b) + jw
1
s+b
For this integral to converge, it is necessary that b +σ <0; i.e., ROC: Re[s]=σ < −b.
2
How ?
A left-sided signal x(t)=-ebt u(-t):
A right-sided signal x(t)=e¯at u(t)
Find Laplace transform of x(t)=u(t)
Find Laplace transform of x(t) = −e¯btu(−t) + e¯atu(t)
Find Laplace transform of x(t) = u(t)
Chapter 2 Solutions
Power System Analysis and Design (MindTap Course List)
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