Texts: part c
2. (25 pts) The phase power and line-line ratings of the electric power system shown in the following figure are given below:
G1: 60 MVA, 20 kV X = 9%
T1: 50 MVA, 20/200 kV, X = 10%
T2: 50 MVA, 200/20 kV, X = 10%
M: 43.2 MVA, 18 kV, X = 8%
Line: 200 kV, Z = 120 + j200 ohm
a) Draw an impedance diagram showing all impedances in per-unit on a 10 MVA base. Choose 20 kV as the voltage base for the generator.
b) The motor is drawing 45 MVA, 0.8 power factor lagging at a line-to-line terminal voltage of 18 kV. Find the terminal voltage and current of the generator in per-unit and in kV.
c) Active and Reactive power supplied by the generator.
G1
Zline
0.
0.
120 + j200 Vt
00t7
0.2
0.15
10.15
0.2
0.3 + j0.5
MVA T 45 = 1 - 44/Co5'0.8 IBase V3(183V KA I20.5 1 - 36.87 100 Base = E; = 0.9 + j(0.3 + j1.05) = (.375213 * E = 27.5 kV / 43.88
18 20 x V
0.9