A 50Hz synchronous machine with inertia constant 1.8 is delivering with 1 per unit electrical power...
A 50Hz synchronous machine with inertia constant 1.8
is delivering with 1 per
unit electrical power to an infinite bus when a bolted three phase
fault occurs at
its terminals. Compute the angular acceleration of the machine.
Homework Answers
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A 50Hz synchronous machine with inertia constant 1.8
is delivering with 1 per
unit electrical power...
A 50 Hz, 250 MVA synchronous generator having inertia constant H=5 MJ/MVA is connected to an infinite bus through trans...
A 50 Hz, 250 MVA synchronous generator having inertia constant H=5 MJ/MVA is connected to an infinite bus through transformer and transmission line as shown below. The transformer reactance is based on 500 MVA, while the other impedances are based on the generator MVA Infinite bus 1 2 3 XL 0.1 pu - oto G1 V= 1.0 pu X 0.1 pu Xd = 0.3 pu at 500 MVA The generator is delivering 0.8 of full load current at a power...
A synchronous generator is connected to an infinite bus via a transformer and a network of...
A synchronous generator is connected to an infinite bus via a transformer and a network of transmission lines, as illustrated in Figure 1 below. Per unit reactances for all elements are shown to a common system base. The generator is delivering 1.1 per unit real power to the infinite bus, and the infinite bus voltage is regulated to 1.05 per unit. The excitation voltage of the synchronous generator is set to 1.30 per unit. The inertia constant of the generator...
a) Calculate the generator internal voltage E’ and the initial generator power angle δ prior to...
a) Calculate the generator internal voltage E’ and the initial
generator power angle δ prior to the fault.
b) Write the swing equation for the machine. What will be the
generator angle δ' at the instant when the fault is cleared after
0.1 s?
c)Determine whether the synchronous generator will remain stable
after the fault is cleared.
d) If the fault clearing is delayed, determine the critical
clearing angle and critical clearing time.
= A 50 Hz synchronous generator with...
The reactance data for the power system shown in figure 10.30 in per unit on a...
The reactance data for the power system shown in figure 10.30 in
per unit on a common base is as follows:
*************Remember calculations are needed at bus 2
****************
10.15. The reactance data for the power system shown in Figure 10.30 in per unit on a common base is as follows Item X1 G1 0.10 0.10 0.05 G2 0.10 0.10 0.05 T, 0.25 0.25 0.25 T 0.25 0.25 0.25 Line 1-2 0.30 0.30 0.50 Ti 1 3 2 FIGURE 10.30...
XTR-0.10 B12 X12-0.20 B21 V= 1-0 x,-0.30 X23-0.20 B13 X13-0.10 B22 Fig. 1. Single-machine infinit...
XTR-0.10 B12 X12-0.20 B21 V= 1-0 x,-0.30 X23-0.20 B13 X13-0.10 B22 Fig. 1. Single-machine infinite bus system (Simple system-I) 1. The synchronous generator in Fig.1 delivers 0.8 p.u. real power at 0.85 power factor leading at voltage at infinite bus (1.0 р.u. voltage). Determine a) The real and reactive power output of the generator b) The generator internal voltage c) An equation for the electrical power delivered by the generator as a function of 8. d) For a three-phase-to ground...
A 7-bus power system with three generators, six transformers, and seven transmission lines is shown in...
A 7-bus power system with three generators, six transformers, and seven transmission lines is shown in Figure Q1. The per-unit reactances for the generators and transfomers are based on their rated voltage and expressed in percentage. When a three-phase fault occurs at bus 5; three transmission lines, namely L4, L5, and L6, are disconnected from the power system. By taking the base apparent power of 100 MVA and the rated voltage of generator G1 as the reference, determine the per-unit...
A 1 GW synchronous generator is connected to an infinite bus through a transmission line. The...
A 1 GW synchronous generator is connected to an infinite bus through a transmission line. The infinite bus voltage (per phase) is 100kV (reference voltage), the inductive reactance of the transmission line is 5 ?, the synchronous reactance of the generator is ?? = 8 ?. If the generator delivers its rated power at unity power factor to the infinite bus, compute the following: a) Terminal voltage of the generator (5 Points) b) Equivalent field voltage (5 Points) c) The...
Power system analysis
Figure shows a single-line diagram of a three-phase, 60-Hz synchronous generator, connected through a transformer and parallel transmission lines to an infinite bus. All reactances are given in perunit on a common system base. If the infinite bus receives 1.0 per unit real power at 0.95 p.f. lagging. If circuit breakers B13 and B22 are opened after three cycles and then reclosed when the power angle reaches 35°.123.png Assume ωpu(t) = 1.0 pu in the swing equation. Assume that the temporary...
The generator has an internal voltage of 1.5 pu and an inertia constant (H) of 3 MJ/MVA. Determine whether the generator is transiently stable or not if the fault clearing time is 0.15 seconds.
A generator, with a transient reactance of j0.5 pu, delivers 1.0 pu real power to an infinite bus through a transformer and two transmission lines in parallel as shown below. A solid three phase fault occurs at position near “F” which is cleared by opening both ends of the transmission leaving only one line in service.
The generator has an internal voltage of 1.5 pu and an inertia constant (H) of 3 MJ/MVA. Determine whether the generator is transiently stable...
5. A 66 kv, 3-phase, 50 Hz, star-connected synchronous motor has a synchronous impedance of 12 ex...
5. A 66 kv, 3-phase, 50 Hz, star-connected synchronous motor has a synchronous impedance of 12 exp j820 ohms per phase. The field current of the machine is set to produce a per-unit excitation e.m.f. of 1-3. The machines operate on constant frequency 6-6 kV infinite busbars. Calculate the operating power-factor and the line current of the machine when the input power is 800 kW. What is the maxi- mum value of gross output power the machine can develop with...
A 50 Hz, 250 MVA synchronous generator having inertia constant H=5 MJ/MVA is connected to an infinite bus through transformer and transmission line as shown below. The transformer reactance is based on 500 MVA, while the other impedances are based on the generator MVA Infinite bus 1 2 3 XL 0.1 pu - oto G1 V= 1.0 pu X 0.1 pu Xd = 0.3 pu at 500 MVA The generator is delivering 0.8 of full load current at a power...
A synchronous generator is connected to an infinite bus via a transformer and a network of transmission lines, as illustrated in Figure 1 below. Per unit reactances for all elements are shown to a common system base. The generator is delivering 1.1 per unit real power to the infinite bus, and the infinite bus voltage is regulated to 1.05 per unit. The excitation voltage of the synchronous generator is set to 1.30 per unit. The inertia constant of the generator...
a) Calculate the generator internal voltage E’ and the initial
generator power angle δ prior to the fault.
b) Write the swing equation for the machine. What will be the
generator angle δ' at the instant when the fault is cleared after
0.1 s?
c)Determine whether the synchronous generator will remain stable
after the fault is cleared.
d) If the fault clearing is delayed, determine the critical
clearing angle and critical clearing time.
= A 50 Hz synchronous generator with...
The reactance data for the power system shown in figure 10.30 in
per unit on a common base is as follows:
*************Remember calculations are needed at bus 2
****************
10.15. The reactance data for the power system shown in Figure 10.30 in per unit on a common base is as follows Item X1 G1 0.10 0.10 0.05 G2 0.10 0.10 0.05 T, 0.25 0.25 0.25 T 0.25 0.25 0.25 Line 1-2 0.30 0.30 0.50 Ti 1 3 2 FIGURE 10.30...
XTR-0.10 B12 X12-0.20 B21 V= 1-0 x,-0.30 X23-0.20 B13 X13-0.10 B22 Fig. 1. Single-machine infinite bus system (Simple system-I) 1. The synchronous generator in Fig.1 delivers 0.8 p.u. real power at 0.85 power factor leading at voltage at infinite bus (1.0 р.u. voltage). Determine a) The real and reactive power output of the generator b) The generator internal voltage c) An equation for the electrical power delivered by the generator as a function of 8. d) For a three-phase-to ground...
A 7-bus power system with three generators, six transformers, and seven transmission lines is shown in Figure Q1. The per-unit reactances for the generators and transfomers are based on their rated voltage and expressed in percentage. When a three-phase fault occurs at bus 5; three transmission lines, namely L4, L5, and L6, are disconnected from the power system. By taking the base apparent power of 100 MVA and the rated voltage of generator G1 as the reference, determine the per-unit...
5. A 66 kv, 3-phase, 50 Hz, star-connected synchronous motor has a synchronous impedance of 12 exp j820 ohms per phase. The field current of the machine is set to produce a per-unit excitation e.m.f. of 1-3. The machines operate on constant frequency 6-6 kV infinite busbars. Calculate the operating power-factor and the line current of the machine when the input power is 800 kW. What is the maxi- mum value of gross output power the machine can develop with...
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