Q1. The offset mho distance relay is used to protect a transmission line. Such a relay has ZR = 20/80 ohms and is supplied from a current transformer with 4500/1 ratio and a voltage transformer with 1100/1 ratio. The mixing transformer ratio n is given as 0.3. (i) Calculate the reach of the relay if the line it is protecting has an impedance of 0.4/70 ohms per phase per km. (ii) If an earth fault occurs at 9 km along the transmission line, estimate the values of fault resistance limit which will enable the relay to function correctly.

Introductory Circuit Analysis (13th Edition)
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Q1. The offset mho distance relay is used to protect a transmission line. Such a relay has ZR =
20/80 ohms and is supplied from a current transformer with 4500/1 ratio and a voltage
transformer with 1100/1 ratio. The mixing transformer ratio n is given as 0.3.
(i) Calculate the reach of the relay if the line it is protecting has an impedance of 0.4/70 ohms
per phase per km.
(ii) If an earth fault occurs at 9 km along the transmission line, estimate the values of fault
resistance limit which will enable the relay to function correctly.
Q2. Figure Q2 shows a 300 MW, 50 Hz generator transmitting 280 MW real power to an infinite
bus through double transmission lines. A three-phase fault occurs at point P in the middle of one
of the transmission lines. (i) Write the generator output power-angle equation per unit for
pre-fault, during fault and post-fault conditions.
(ii) Determine the critical clearing angle using equal criteria method
E=1.05 p.u
X'=j0.12 p.u
X=j0.17 p.u
|*
Figure Q2
Xine=j0.6 p.u
Xime=j0.6 p.u
P
(8)
V=1.0 p.u
Transcribed Image Text:Q1. The offset mho distance relay is used to protect a transmission line. Such a relay has ZR = 20/80 ohms and is supplied from a current transformer with 4500/1 ratio and a voltage transformer with 1100/1 ratio. The mixing transformer ratio n is given as 0.3. (i) Calculate the reach of the relay if the line it is protecting has an impedance of 0.4/70 ohms per phase per km. (ii) If an earth fault occurs at 9 km along the transmission line, estimate the values of fault resistance limit which will enable the relay to function correctly. Q2. Figure Q2 shows a 300 MW, 50 Hz generator transmitting 280 MW real power to an infinite bus through double transmission lines. A three-phase fault occurs at point P in the middle of one of the transmission lines. (i) Write the generator output power-angle equation per unit for pre-fault, during fault and post-fault conditions. (ii) Determine the critical clearing angle using equal criteria method E=1.05 p.u X'=j0.12 p.u X=j0.17 p.u |* Figure Q2 Xine=j0.6 p.u Xime=j0.6 p.u P (8) V=1.0 p.u
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