3- The bus impedance matrix of a four-bus network with values in per unit is Z???...
3- The bus impedance matrix of a four-bus network with values in
per unit is
Z??? =
[?0.15 ?0.08 ?0.04 ?0.07
?0.08 ?0.15 ?0.06 ?0.09
?0.04 ?0.06 ?0.13 ?0.05
?0.07 ?0.09 ?0.05 ?0.12 ]
Generators connected to busses 1 and 2 have their sub-transient
reactances included in Zbus. Neglect pre-fault currents and find
sub-transient current in pu in the fault for a three-phase fault on
bus 4. Assume the voltage at fault is 1∠0 before the fault occurs.
Also, find the per unit current from generator 2 whose
sub-transient reactance is 0.2 pu.
Homework Answers
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3- The bus impedance matrix of a four-bus network with values in
per unit is
Z???...
The zero-, positive-, and negative-sequence bus impedance matrices for a three bus power system are given...
The zero-, positive-, and negative-sequence bus impedance matrices for a three bus power system are given below 5. T0.10 0.15 0.121 Bu0.15 0.10 0.08 pu [0.16 0.10 0.15] Lo.15 0.14 0.30 0.12 0.08 0.35 ZBus ZBus0.10 0.20 0.14 pu Determine the per unit fault current and the bus voltages during fault for (a) A bolted three-phase fault at bus 2. (b) A bolted single line-to-ground fault at bus 2. (c) A bolted line-to-line fault at bus 2 (d) A bolted...
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...
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 following figure shows the one-line diagram of a single power network which has the line...
The following figure shows the one-line diagram of a single
power network which has the line admittances shown on the figure.
Each generator connected to buses 1 and 4 has a sub-transient
reactance of 0.25 pu. Determine for the network
a. Ybus
b. Zbus
c. The sub-transient current in per unit in a three-phase fault
on bus 3 and
d. The contributions to the fault current from line 1-3 and from
4-3
૩૦.૦૬૦-૬ ૬ . ૦૩72 , 30.23 90.0372૬ ૬૦.૦૦૩%...
N 에 3 5 who 4 ulu m 11 10 Table: Branch Information X(pu) B{pu) Branch...
N 에 3 5 who 4 ulu m 11 10 Table: Branch Information X(pu) B{pu) Branch Bus No-Bus No 1-2 2-5 2-8 4-5 4.11 5-6 6-7 7-10 7-11 8-9 8 - 10 9-10 R(pu) 0.01 0.02 0.025 0.01 0.01 0.02 0.04 0.03 0.01 0.05 0.01 0.01 0.02 0.03 0.06 0.075 0.03 0.03 0.06 0.12 0.09 0.07 0.15 0.03 0.07 0.14 0.04 0.08 0.00 0.02 0.06 0.00 0.00 0.02 0.10 0.00 0.06 0.12 0.04 Calculate the bus admittance matrix for the...
Assuming there is a FAULT at BUS 3, Determine the thevenin equivalent of each series network...
Assuming there is a FAULT at BUS 3, Determine the thevenin
equivalent of each series network as viewed from the fault bus.
Given:
-Prefault voltage is 1.0 per unit
-Prefault load currents and delta-wye transformer phase shifts
are neglected
Synchronous generators G1 1000 MVA 15 kVX"-X2 0.18, Xo 0.07 per unit G2 1000 MVA 15 kV X: X, = 0.20, X,-0.10 per unit G3 500 MVA 13.8 kV X: X,-0.15, X,-0.05 per unit G4 750 MVA 13.8 kV X,-0.30, X,-0.40,...
A single line diagram of a power system is shown in Fig. 2. The system data with equipment ratings and assumed sequence reactances are given the following table. The neutrals of the generator and A-Y...
A single line diagram of a power system is shown in Fig. 2. The system data with equipment ratings and assumed sequence reactances are given the following table. The neutrals of the generator and A-Y transformers are solidly grounded. The motor neutral is grounded through a reactance Xn 0.05 per unit on the motor base. Assume that Pre-fault voltage is takin as VF-1.0 ,0° per unit and Pre- fault load current and Δ-Y transformer phase shift are neglected In the...
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...
For the network shown below, the pu reactance data are equivalent sequence circuit and calculate the fault current in p...
For the network shown below, the pu reactance data are equivalent sequence circuit and calculate the fault current in per unit for a bolted single line- to-ground fault at bus 2. The pre-fault bus voltages are assumed to be 1 pu given in the table. Draw the Ti T2 1 2 3 G1 G2 5 X2 Item G1 0.10 0.10 0.05 0.05 G2 0.10 0.10 0.01 T1 0.01 0.01 0.01 T2 0.01 0.01 Line 2-3 0.10 0.10 0.20 Line 3-5...
The Doan Modianos Manufacturing Company is putting out seven new electronic components. Each of Modianos' eight...
The Doan Modianos Manufacturing Company is putting out seven new electronic components. Each of Modianos' eight plants has the capacity to add one more product to its current line of electronic parts. The unit manufacturing costs for producing the different parts at the eight plants are shown in the accompanying table How should Modianos assign the new products to the plants in order to minimize manufacturing costs? Plants Electronic Components C53 C81 D5 D44 E2 E35 G99 4 $0.10 $0.12...
The zero-, positive-, and negative-sequence bus impedance matrices for a three bus power system are given below 5. T0.10 0.15 0.121 Bu0.15 0.10 0.08 pu [0.16 0.10 0.15] Lo.15 0.14 0.30 0.12 0.08 0.35 ZBus ZBus0.10 0.20 0.14 pu Determine the per unit fault current and the bus voltages during fault for (a) A bolted three-phase fault at bus 2. (b) A bolted single line-to-ground fault at bus 2. (c) A bolted line-to-line fault at bus 2 (d) A bolted...
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...
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 following figure shows the one-line diagram of a single
power network which has the line admittances shown on the figure.
Each generator connected to buses 1 and 4 has a sub-transient
reactance of 0.25 pu. Determine for the network
a. Ybus
b. Zbus
c. The sub-transient current in per unit in a three-phase fault
on bus 3 and
d. The contributions to the fault current from line 1-3 and from
4-3
૩૦.૦૬૦-૬ ૬ . ૦૩72 , 30.23 90.0372૬ ૬૦.૦૦૩%...
N 에 3 5 who 4 ulu m 11 10 Table: Branch Information X(pu) B{pu) Branch Bus No-Bus No 1-2 2-5 2-8 4-5 4.11 5-6 6-7 7-10 7-11 8-9 8 - 10 9-10 R(pu) 0.01 0.02 0.025 0.01 0.01 0.02 0.04 0.03 0.01 0.05 0.01 0.01 0.02 0.03 0.06 0.075 0.03 0.03 0.06 0.12 0.09 0.07 0.15 0.03 0.07 0.14 0.04 0.08 0.00 0.02 0.06 0.00 0.00 0.02 0.10 0.00 0.06 0.12 0.04 Calculate the bus admittance matrix for the...
Assuming there is a FAULT at BUS 3, Determine the thevenin
equivalent of each series network as viewed from the fault bus.
Given:
-Prefault voltage is 1.0 per unit
-Prefault load currents and delta-wye transformer phase shifts
are neglected
Synchronous generators G1 1000 MVA 15 kVX"-X2 0.18, Xo 0.07 per unit G2 1000 MVA 15 kV X: X, = 0.20, X,-0.10 per unit G3 500 MVA 13.8 kV X: X,-0.15, X,-0.05 per unit G4 750 MVA 13.8 kV X,-0.30, X,-0.40,...
A single line diagram of a power system is shown in Fig. 2. The system data with equipment ratings and assumed sequence reactances are given the following table. The neutrals of the generator and A-Y transformers are solidly grounded. The motor neutral is grounded through a reactance Xn 0.05 per unit on the motor base. Assume that Pre-fault voltage is takin as VF-1.0 ,0° per unit and Pre- fault load current and Δ-Y transformer phase shift are neglected In the...
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...
For the network shown below, the pu reactance data are equivalent sequence circuit and calculate the fault current in per unit for a bolted single line- to-ground fault at bus 2. The pre-fault bus voltages are assumed to be 1 pu given in the table. Draw the Ti T2 1 2 3 G1 G2 5 X2 Item G1 0.10 0.10 0.05 0.05 G2 0.10 0.10 0.01 T1 0.01 0.01 0.01 T2 0.01 0.01 Line 2-3 0.10 0.10 0.20 Line 3-5...
The Doan Modianos Manufacturing Company is putting out seven new electronic components. Each of Modianos' eight plants has the capacity to add one more product to its current line of electronic parts. The unit manufacturing costs for producing the different parts at the eight plants are shown in the accompanying table How should Modianos assign the new products to the plants in order to minimize manufacturing costs? Plants Electronic Components C53 C81 D5 D44 E2 E35 G99 4 $0.10 $0.12...
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