The generator in Figure 11.4 is initially operating in the steady-state condition given in Problem 11.8 when a three-phase-to-ground bolted short circuit occurs at bus 3. Determine an equation for the
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- 6. A 3 phase fault occurs at point F as shown in figure. Determine the critical clearing anglefor the system. The generator is delivering 1.0 p.u power under prefault conditioThe one-line diagram of a simple power system is shown in Figure below. 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. G Stark Item Base MVA Voltage Rating X' x² 20 kV 20 kV 20/220 kV 20/220 kV 100 0.05 0.15 0.15 0.10 0.10 220 kV 0.125 0.125 0.30 0.15 0.25 025 0.7125 0.15 100 100 0.15 0.05 0.10 0.10 0.10 100 0.10 100 100 Lu La 220 kV 0.15 220 kV 0.35 100 A balanced three-phase fault at bus 3 through a fault impedance Zf= jo.I per unit. The magnitude of the fault current in amperes in phase b for this fault is: Select one: A. 345.3 B. 820.1 C. 312500 3888888 产产A 3 phase fault occurs at point F as shown in figure. Determine the critical clearing anglefor the system. The generator is delivering 1.0 p.u power under prefault condition.
- Two three-phase, 6.6 kV, Y-connected synchronous generators are operating in parallel to supply a load of 3000 kW at 0.8 power factor lagging. The synchronous reactance per phase of machine A is j10 2, while that of machine B is j12 Q (winding resistance and losses are negligible). The excitation of machine A is adjusted so that it delivers 150 A at a lagging power factor, and the governors that control the input torque of the generator prime movers are set such that the load is shared equally between the two machines. Determine the following for each machine: the armature current; а. i. the power factor; the excitation voltage, Ef; and, the power angle. ii. iii. iv. Neatly sketch a phasor diagram for machine A, taking the terminal voltage as the reference. Ensure all phasors are labelled, and all angles indicated. b.synchronous generator threewThe phases are rated at 1000 kVA and operate at a voltage of 6.6 kV. The product resistance per phase is 0.38 ohms and the leakage reactance is 0.5 ohms per phase. The generator works to provide full load at a power factor of 0.85 delayed and at normal voltages. Find the value of the no-load voltage.b) Two synchronous generators, G2 and G2, are connected parallelly supplying a load. Generator G1 has a no-load frequency of 50.5 Hz and a slope of 300 MW/Hz. Generator G2 has a no-load frequency of 50.2 Hz and a slope of 500 MW/Hz. The load consumes 250 MW real power. (1) At what frequency does this system operate, and how much power is supplied by each of the two generators? (ii) An additional 100 MW load is added to this power system. What is the new system frequency, and how much power do G1 and G2 supply? (iii) The governor set point of G2 is changed to control system frequency back to 50 Hz. Determine the G2 governor set point.
- Three identical steam-turbine generators G1, G2, and G3 are operating in parallel. Each generator is: 7.2 KV, 25.4 MVA, 60 Hz, 0.77 PF lagging, 4-poles, Y-connected, with synchronous reactance of 2 Q and an armature resistance of 0.05 Q. Each of generators G1 , and G2 has a characteristic power-frequency slope of 5.8 MW/Hz, and no-load frequency of 62.5 Hz. Generator G3 has a characteristic power-frequency slope of 6.0 MW/Hz. Find the no-load frequency of generator G3 for which all generators supply a load of 42.6 MW, at fsys = 60 Hz. Select one: O a. fevs = 62.95 Hz O b. fsys = 62.26 Hz O c. None O d. fsys = 62.5 HzQ2 Two three-phase, 6.6 kV, Y-connected synchronous generators are operating in parallel to supply a load of 3000 kW at 0.8 power factor lagging. The synchronous reactance per phase of machine A is j10 Q, while that of machine B is j12 Q (winding resistance and losses are negligible). The excitation of machine A is adjusted so that it delivers 150 A at a lagging power factor, and the governors that control the input torque of the generator prime movers are set such that the load is shared equally between the two machines. a. Determine the following for each machine: i. the armature current; ii. the power factor; ii. the excitation voltage, Ef; and, iv. the power angle. Neatly sketch a phasor diagram for machine A, taking the terminal voltage as the reference. Ensure all phasors are labelled, and all angles indicated. b.Three identical steam-turbine generators G1, G2, and G3 are operating in parallel. Each generator is: 7.2 KV, 25.4 MVA, 60 Hz, 0.77 PF lagging, 4-poles, Y-connected, with synchronous reactance of 2 Q and an armature resistance of 0.05 Q. Each of generators G¡ , and G2 has a characteristic power-frequency slope of 5.8 MW/Hz, and no-load frequency of 62.5 Hz. Generator G3 has a characteristic power-frequency slope of 6.0 MW/Hz. Find the no-load frequency of generator G3 for which all generators supply a load of 38.5 MW, at fsys = 60 Hz. Select one: O a. fsys = 62.5 Hz O b. fsys = 61.85 Hz O c. None O d. fsys = 61.58 Hz Clear my choice
- Q3/ For the system shown in figure. The generator is supplying 1.0 pu MW power under prefault condition. When three-phase fault occur at point F. What should the value of fault reactance must be to make the critical clearing angle equal to 58.9. Sc j0.1 j0.1 10.21 BE j0.38 38 j0.21 IEgl-12 pu 10.19 F 10.19 IVI-1.00 pu j0.1 j0.1 Q4/ Figure below shows the one-line diagramDescription In the particular case of figure below derive both the critical clearing angle and the critical clearing time. P, = Pmaz sin d Pm A1 do der Smar A generator having H = 6.R MJ/MVA is delivering power of 1.0 per unit to an infinite bus through a purely reactive network when the occurrence of a fault reduces the generator output power to zero. The maximum power that could be delivered is 2.5S per unit. When the fault is cleared, the original network conditions again exist. Determine the critical clearing angle and critical clearing time. (Roll=PQRS)two alternators A and B having 5% speed regulation are working in parallel at a station. Alternator A is rated at 15 MW while B is at 20 MW. When the total load to be shared is 12 MW, then how much of the load will be shared by the alternator B?