System 1 X₁ = X2=1% X=6% Bus 1 X₁ = X2 = X0=1% Bus 2 ロー R R XFMR 1 XFMR 2 Relay A Relay B 230 kV : 115 kV X=3% System 2 X₁ = X2=3% X=4% 本 115 kV : 230 kV X= 6% P1. A bolted single-phase-line-to-ground fault occurs exactly in the middle of the 115kV T-Line between Bus 1 and Bus 2. Assume prefault voltage of j1.04 per unit and all impedance values were determined utilizing the same Sbase. a. Calculate the magnitude (per unit) of I, flowing into the fault b. Determine the magnitude (per unit) of Io, I₁, and I₂ flowing through Relay A's CT per unit per unit, per unit, per unit c. Determine the magnitude (per unit) of I, I₁, and I2 flowing through Relay B's CT per unit, per unit, per unit

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter9: Unsymmetrical Faults
Section: Chapter Questions
Problem 9.2P
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System 1
X₁ = X2=1%
X=6%
Bus 1
X₁ = X2 = X0=1%
Bus 2
ロー
R
R
XFMR 1
XFMR 2
Relay A
Relay B
230 kV : 115 kV
X=3%
System 2
X₁ = X2=3%
X=4%
本
115 kV : 230 kV
X= 6%
P1. A bolted single-phase-line-to-ground fault occurs exactly in the middle of the 115kV T-Line
between Bus 1 and Bus 2. Assume prefault voltage of j1.04 per unit and all impedance values
were determined utilizing the same Sbase.
a. Calculate the magnitude (per unit) of I, flowing into the fault
b. Determine the magnitude (per unit) of Io, I₁, and I₂ flowing through Relay A's CT
per unit
per unit,
per unit,
per unit
c. Determine the magnitude (per unit) of I, I₁, and I2 flowing through Relay B's CT
per unit,
per unit,
per unit
Transcribed Image Text:System 1 X₁ = X2=1% X=6% Bus 1 X₁ = X2 = X0=1% Bus 2 ロー R R XFMR 1 XFMR 2 Relay A Relay B 230 kV : 115 kV X=3% System 2 X₁ = X2=3% X=4% 本 115 kV : 230 kV X= 6% P1. A bolted single-phase-line-to-ground fault occurs exactly in the middle of the 115kV T-Line between Bus 1 and Bus 2. Assume prefault voltage of j1.04 per unit and all impedance values were determined utilizing the same Sbase. a. Calculate the magnitude (per unit) of I, flowing into the fault b. Determine the magnitude (per unit) of Io, I₁, and I₂ flowing through Relay A's CT per unit per unit, per unit, per unit c. Determine the magnitude (per unit) of I, I₁, and I2 flowing through Relay B's CT per unit, per unit, per unit
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