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Power System Analysis I

ENEE 205

Question
2081 ChaitraChapter 3: Computational Technique3.3 Per Unit System; Representation, Calculation of Base Values, Advantage and Applications

A 90 MVA 11 kV 3-phase generator has a reactance of 15%. The generator supplies two motors through transformers and transmission line shown in figure below. The transformer $T_1$ is a 3-phase transformer, 100 MVA, 10/132 kV, 6% reactance. The transformer $T_2$ is composed of 3 single phase units each rated at 30 MVA, 66/10 kV with 5% reactance. The connection of $T_1$ and $T_2$ are as shown. The motors rated at 50 MVA and 40 MVA both 10 kV and 20% reactance. Taking the generator rating as base, draw reactance diagram and indicate the reactance in per unit. The reactance of line is $100\ \Omega$.


[IMAGE: Single line diagram: generator G (grounded star) connected to transformer T1 (delta on the generator side, grounded star on the line side), a transmission line labeled Line, transformer T2 (grounded star on the line side, delta on the motor side), feeding a bus to which motor M1 (grounded star) and motor M2 (delta) are connected.]
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