For the radial distribution system shown in the figure below, the impedances of the two line sections and the equivalent generator are given in pu. Consider symmetrical faults only (three-phase, positive sequence) and assume that the relay at bus A is set to pickup for a fault at bus C. The relay at bus B is set to pickup at one half of that value.
2) Assume there is a DER installed at bus C whose fault current contribution is 1.5 times its rated current and that its capacity is equal to the total load (i.e. 100% penetration). Also assume that the fault current is purely inductive. For a fault in the middle of the line A-B with fault impedance j0.1 pu, calculate the total fault current and its contribution from the grid, with and without the DER in service.
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For the radial distribution system shown in the figure below, the impedances of the two line sect...
The single-line diagram of a four-bus system and its bus impedance matrix are shown below BUS...
The single-line diagram of a four-bus system and its bus impedance matrix are shown below BUS 2 0.25 j0.2 0.125 0.25 0.4 BUS 3 BUS 1 BUS 4 j0.1 0.1 j0.2 j0.2 ground is the reference node) 0.25 0.2 0.16 0.14 0.2 0.23 0.15 0.151 ZBUs =기0.16 0.15 0.196 0.1 0.14 0.151 0. 0.195 A solid three-phase fault occurs at bus 2 of the network. (a) Calculate the initial symmetrical RMS current in the fault. (b) Determine the voltages during...
Problem5 1 pu The per-unit line impedances between buses 1-6 in the system shown above ane 1-2 0....
Problem5 1 pu The per-unit line impedances between buses 1-6 in the system shown above ane 1-2 0.01+j0.05 0.006 j0.08 0.008+j0.04 0.02+j0.1 0.003+j0.02 2-3 4-5 5-6 Fill in the following tables for the cases when there is a three-phase ground fault at the indicated bus. Here I is the current through breaker B and V is the voltage at bus k fault at bus 1 111 fault at bus
Problem5 1 pu The per-unit line impedances between buses 1-6 in...
The one-line diagram of a simple power system is shown in Figure 1. The neutral of...
The one-line diagram of a simple power system is shown in Figure 1. The neutral of each generator is grounded through a current-limiting reactor of 0.25/3 per unit on a 100-MVA base. The system data expressed in per unit on a common 100-MVA base is tabulated below. The generators are running on no-load at their rated voltage and rated frequency with their emfs in phase. Determine the fault current for the following faults giving Zo = 0.35, Z = 0.22...
The one-line diagram of a three-bus power system is shown in Figure 4. All impedances are...
The one-line diagram of a three-bus power system is shown in
Figure 4. All impedances are
expressed in per unit on a common MVA base. All resistances and
shunt capacitances are
neglected. Information on each component in this system is given
below:
• Each generator is represented by an emf
behind the sub-transient reactance of j0.045
and their neutrals are connected to the
ground.
• Line 1-2 has reactance of j0.88
• Line 2-3 has reactance of j0.65
• Line...
Busl Bus2 Bus3 Figure 1: One line diagram All impedances are specified in per unit. For...
Busl Bus2 Bus3 Figure 1: One line diagram All impedances are specified in per unit. For generators, assume Z'- Zj0.2,Z- j0.05 For transformers, assume Z -Z -Zo - j0.05 For lines assume Z+= Z'=j0.1,20-jo.3 Assume unloaded pre-fault condition with voltages 1.0 pu at all the three buses. A fault occurs at bus 1. Ignore phase shift and perform the following computations: A. Draw the sequence network diagrams (positive, negative and zero) and find the Thevenin equivalent for each sequence network...
Exercise 3 Consider a 2 generator 4 bus power system shown in Figure E3. The impedance data of the network in p.u. are given in Figure E3. A bolted symmetrical three phase fault occurs at bus 4. Assu...
Exercise 3 Consider a 2 generator 4 bus power system shown in Figure E3. The impedance data of the network in p.u. are given in Figure E3. A bolted symmetrical three phase fault occurs at bus 4. Assuming the prefault bus voltages as I p.u., calculate the fault current and the current delivered by the generators during the fault and the bus voltages during the fault. j0.12 0.05 0.16 j0.18 j0.12 0.15 0.05 j0.12 j0.1 j0.14 4 (2 Figure E3:...
The single line diagram of a simple power system is shown in Figure 1. The system...
The single line diagram of a simple power system is shown in Figure 1. The system data are given in the table below. Choose a base power of 100 MVA and a base voltage of 132kV in Line4. Draw the impedance diagram of the system. Calculate and mark all impedances in pu on the diagram. Calculate the line to line voltage of Bus 3 in pu and in kV if the motor draws its rated power at rated voltage and...
it is from the book "power system relaying" by Stanley horowitz, 4th edition 2.10 Consider the...
it is from the book "power system relaying" by Stanley horowitz,
4th edition
2.10 Consider the power system shown in Figure 2.27. The nu impedances of the two line sections and the perete ure shown in the figure. Concentrating on three-phase faults only, assume that the relay bus A is set to pick up for hus C Assuming that the pickup setting is equal to the third of the wall current what is the pickup setting of this relay? If...
Part B (20 marks) Figure 2 shows a three phase 22kV, 50Hz radial system, which is to be protected by two inverse- time...
Part B (20 marks) Figure 2 shows a three phase 22kV, 50Hz radial system, which is to be protected by two inverse- time over-current relays B1 and B2. The maximum loads for this system are L 6 MVA, and L2- 5 MVA. The maximum fault currents at bus 1 and bus 2 are 1500A and 1000A respectively. The minimum fault currents at bus 1 and bus 2 are 900A and 650A respectively The line currents are measured using current transformers...
i need help on equation 4.4 only! 4.2 (a) For the system shown in Figure 4.20,...
i
need help on equation 4.4 only!
4.2 (a) For the system shown in Figure 4.20, calculate the current for a three-phase fault at bus A and again at bus B. (b) Repeat (a) for the system shown in Figure 4.21. 100 V Figure 4.20 System diagram for Problem 4.2a 100 V Figure 4.21 System diagram for Problem 4.2b 4.3 (a) Referring to Figure 4.20, set an instantaneous relay at bus A. Calculate the pickup for faults on buses A...
The single-line diagram of a four-bus system and its bus impedance matrix are shown below BUS 2 0.25 j0.2 0.125 0.25 0.4 BUS 3 BUS 1 BUS 4 j0.1 0.1 j0.2 j0.2 ground is the reference node) 0.25 0.2 0.16 0.14 0.2 0.23 0.15 0.151 ZBUs =기0.16 0.15 0.196 0.1 0.14 0.151 0. 0.195 A solid three-phase fault occurs at bus 2 of the network. (a) Calculate the initial symmetrical RMS current in the fault. (b) Determine the voltages during...
Problem5 1 pu The per-unit line impedances between buses 1-6 in the system shown above ane 1-2 0.01+j0.05 0.006 j0.08 0.008+j0.04 0.02+j0.1 0.003+j0.02 2-3 4-5 5-6 Fill in the following tables for the cases when there is a three-phase ground fault at the indicated bus. Here I is the current through breaker B and V is the voltage at bus k fault at bus 1 111 fault at bus
Problem5 1 pu The per-unit line impedances between buses 1-6 in...
The one-line diagram of a simple power system is shown in Figure 1. The neutral of each generator is grounded through a current-limiting reactor of 0.25/3 per unit on a 100-MVA base. The system data expressed in per unit on a common 100-MVA base is tabulated below. The generators are running on no-load at their rated voltage and rated frequency with their emfs in phase. Determine the fault current for the following faults giving Zo = 0.35, Z = 0.22...
The one-line diagram of a three-bus power system is shown in
Figure 4. All impedances are
expressed in per unit on a common MVA base. All resistances and
shunt capacitances are
neglected. Information on each component in this system is given
below:
• Each generator is represented by an emf
behind the sub-transient reactance of j0.045
and their neutrals are connected to the
ground.
• Line 1-2 has reactance of j0.88
• Line 2-3 has reactance of j0.65
• Line...
Busl Bus2 Bus3 Figure 1: One line diagram All impedances are specified in per unit. For generators, assume Z'- Zj0.2,Z- j0.05 For transformers, assume Z -Z -Zo - j0.05 For lines assume Z+= Z'=j0.1,20-jo.3 Assume unloaded pre-fault condition with voltages 1.0 pu at all the three buses. A fault occurs at bus 1. Ignore phase shift and perform the following computations: A. Draw the sequence network diagrams (positive, negative and zero) and find the Thevenin equivalent for each sequence network...
Exercise 3 Consider a 2 generator 4 bus power system shown in Figure E3. The impedance data of the network in p.u. are given in Figure E3. A bolted symmetrical three phase fault occurs at bus 4. Assuming the prefault bus voltages as I p.u., calculate the fault current and the current delivered by the generators during the fault and the bus voltages during the fault. j0.12 0.05 0.16 j0.18 j0.12 0.15 0.05 j0.12 j0.1 j0.14 4 (2 Figure E3:...
The single line diagram of a simple power system is shown in Figure 1. The system data are given in the table below. Choose a base power of 100 MVA and a base voltage of 132kV in Line4. Draw the impedance diagram of the system. Calculate and mark all impedances in pu on the diagram. Calculate the line to line voltage of Bus 3 in pu and in kV if the motor draws its rated power at rated voltage and...
it is from the book "power system relaying" by Stanley horowitz,
4th edition
2.10 Consider the power system shown in Figure 2.27. The nu impedances of the two line sections and the perete ure shown in the figure. Concentrating on three-phase faults only, assume that the relay bus A is set to pick up for hus C Assuming that the pickup setting is equal to the third of the wall current what is the pickup setting of this relay? If...
Part B (20 marks) Figure 2 shows a three phase 22kV, 50Hz radial system, which is to be protected by two inverse- time over-current relays B1 and B2. The maximum loads for this system are L 6 MVA, and L2- 5 MVA. The maximum fault currents at bus 1 and bus 2 are 1500A and 1000A respectively. The minimum fault currents at bus 1 and bus 2 are 900A and 650A respectively The line currents are measured using current transformers...
i
need help on equation 4.4 only!
4.2 (a) For the system shown in Figure 4.20, calculate the current for a three-phase fault at bus A and again at bus B. (b) Repeat (a) for the system shown in Figure 4.21. 100 V Figure 4.20 System diagram for Problem 4.2a 100 V Figure 4.21 System diagram for Problem 4.2b 4.3 (a) Referring to Figure 4.20, set an instantaneous relay at bus A. Calculate the pickup for faults on buses A...
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