A synchronous generator, capable of developing 500mW power per phase. Operates at a power angle of 8 By how much can the input shaft power be increased suddenly without loss of stability? Assume that Pmax will remain constant.
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- two synchronous generators are connected in parallel, feeding a load together. the frequency of the first generator in the no-load State is 52 Hz and the slope of the characteristic is 1 MW/Hz. the total power of the load fed by these two generators is 2.5 MW and the power coefficient is 0.6 inductive. by drawing the characteristic curve of the system;a) what is the frequency of the system when the load in question is fed, and how do the two generators share the load between themselvesb) if a load of 0.5 MW is added to the system, find the operating frequency of the new system and the powers given by each generatorc) if a second load of 0.5 MW is connected to the system, the idle operating frequency of the second generator is increased by 0.5 Hz, what happens to the operating frequency of the system and the power values given by the generatorsA 50 Hz synchronous generator is connected to an infinite bus through a line. The p.u. reactances of the generator and the line are j0.3 p.u. and j0.2 p.u. respectively. The generator no load voltage is 1.1 p.u. and that of infinite bus is 1 p.u. If the generator is loaded to 75% of its maximum power transfer capability, then the natural frequency of oscillations is Hz. (Assume inertia constant, H= 3 MJ/MVA)2. A synchronous generator is connected to an inductive load, please draw phasor diagram to show the relationship between the internal generated voltage of the generator and the terminal voltage across the load. If the same generator is connected to a capacitive load, please draw phasor diagram to show the relationship between the internal generated voltage of the generator and the terminal voltage cross the load again. Explain the difference of the terminal voltage responses at these two types of loads.
- d) The generated voltage of a turbine at timet seconds is given by: v(t) = Vssin(0.4nt +=) 61 Where Vs is generator voltage in Volts. Evaluate the following: The voltage of the generator after 2.5 seconds if Vs = 70 V. The voltage at time t = 0 seconds to 3 significant figures The time when the generator first reaches maximum voltage, the period, the frequency, and the time displacement. ii. iv. V. Your answer to this part of the task should be supported by suitably annotated graphical evidence to help understanding by a non-technical audience. e) If the cable of this generator has a shape of the form: y = 70cosh(x/55)sinh²( Provide fully explained solutions to the following: The value of y when x = 10 to 3 significant figures The value of x when y = 40 to 3 significant figures Provide fully explained graphical evidence to show justify your answers to part (ii) vi. vii. viii.Three identical steam-turbine generators G1, G2, and G3 are operating in parallel. Each generator is: 7.2 KV, 20 MVA, 50 Hz, 0.85 PF lagging, 4-poles, Y-connected, with a 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 4.7 MW/Hz, while generator G3 has a slope of 5.0 MW/Hz. If all three generators are supplying a total load of 51.2 MW, and the no-load frequency of each generator is set to 52.4 Hz, what will the system frequency be? How much power is supplied by generator G3? Select one: O a. fsys = 48.84 Hz, PG3 = 17.8 MW O b. None O c. fsys = 49.05 Hz, PG3 = 16.75 MW O d. fsys = 48.95 Hz, PG3 = 17.25 MW Clear my choiceA 50HZ, synchronous generator is connected to infinite bus through a transmission line. The pu reactance of generator and transformer line are j0.4 and j0.2 respectively. The no load Voltage of generator is 1.2pu and infinite bus-lpu. Inertia constant is 4MJ/MVA. Determine frequency of natural oscillation if generator is loaded frequency to 50% ofP, Ka) 1.31 Hz, 1.09 Hz (c) 1.01 Hz, 1.09 Hz ubiun and 80% of P, and small disturbance is applied max max (b) 1.31 Hz, 1.29 Hz (d) 1.01 Hz, 1.29 Hz
- Three identical steam-turbine generators G1, G2, and G3 are operating in parallel. Each generator is: 7.2 KV, 20 MVA, 50 Hz, 0.85 PF lagging, 4-poles, Y-connected, with a synchronous reactance of 2 N and an armature resistance of 0.05 Q. Each of generators Gj and G2 has a characteristic power-frequency slope of 4.7 MW/Hz, while generator G3 has a slope of 5.0 MW/Hz. If all three generators are supplying a total load of 51.2 MW, and the no-load frequency of each generator is set to 52.4 Hz, what will the system frequency be? How much power is supplied by generator G3? Select one: O a. fsys = 48.84 Hz, PG3 =17.8 MW O b. fsys = 49.05 Hz, PG3 = 16.75 MW c. fsys = 48.95 Hz, PG3 = 17.25 MW d. NoneA synchronous generator has 4 poles and a synchronous reactance of 5 ohms. The operating frequency is 60 Hz. The stator windings are connected in Y and the voltage between the lines is Vl= 15 kV. The generator line current is 1 kA with a power factor of 0.9 (lagging). Find:a) The amplitude of the excitation voltage (induced voltage Eaf. ).b) The actual power delivered by the generator.c) The reactive power supplied by the generator.A 80 MVA synchronous generator has Xs = j8Ω. The generator is supplying itsrated power to an infinite bus at a voltage of 33KV and a power factor of 0.9lagging.Determine the following:a) The generator emf (E) and the power angle.b) The maximum power (Pmax) that the generator can supply and the armaturecurrent (Ia) in this case (i.e. when the power is maximum) and what is thepower factor?
- A synchronous generator runs at 250 rpm and generates at 50-Hz. There are 216 slots, each containing 5 conductors arranged in a full-pitched winding for 3-phase star connection. All the conductors of each phase are in series and the flux per pole at no-load sinusoidally distributed over the pole pitch is 30 mWb. Find the emf induced in each phase winding and the terminal voltage.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 Hz3.A single phase AC generator has an armature winding resistance and reactance of 0.25 ohm and 2.5 ohms respectively. At rated load, the current delivered is 50 A at 500 V. Determine the generated emf when the load power factor is a. unity b. 0.819 lagging c. 0.766 leading 11:18 AM