A 60 Hz synchronous generator having per unit inertia constant H-5 s and a transient reactanc X'a 0.3 pu is connected to an infinite bus through a purely reactive circuit as shown in Fig. (4). Reactances are marked on the diagram on a common system base. The generator is delivering power P, = 0.7 pu at 0.75 power factor lagging to the infinite bus at a voltage V = 1.0 pu. Determine the operating power angle of the generator 8 ? E' X = 0.3 pu Ia X₁ = 0.3 XL1 = 0.4 m m XL2 = 0.4 2 V∞o
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- A synchronous generator is connected to an infinite bus with excitation voltage Ef = 1.3 pu. The generator has a synchronous reactance of 1.1 pu and is delivering real power (P) of 0.6 pu to the bus. Assume the infinite bus voltage to be 1.0 pu. Neglect stator resistance. The reactive power (Q) in pu supplied by the generator to the bus under this condition isA 50 Hz synchronous generator having inertia constant H = 9.94 MJ/MVA and a transient reactance of 0.3 p.u. is connected to an infinite bus through a purely reactive circuit as shown in the figure. Reactances are marked on the diagram on a common system base. The generator is delivering real power of 0.6 p.u., 0.8 pf lagging to the infinite bus at a voltage of V= 1p.u. Obtain generated voltage and power angle equation. X=0.3 V= 1.0 X-02 X=0.3 X=0.3two 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 generators
- A 50 Hz synchronous generator having inertia constant H = 5 sec and a direct axis reactance X, = 0.3 p.u. is connected to an infinite bus through a transformer and a double circuit line. The network is purely reactive. The synchronous generator is delivering real power P power Q = 0.074 p.u. to the infinite bus of 1.0 p.u at steady state. 0.8 p.u. and reactive %3D 70.2 X = J0.3 E's Voo = 120° X = 0.3 X = J0.3A synchronous generator is rated 645 MVA, 24 kV, 0.9 pf lagging. It has a synchronous reactance 1.2 . The generator is feeding full load at 0.9 pf lagging at rated voltage. Calculate: (a) Excitation emf (E,) and power angle & (b) Reictive power drawn by the load Carry out calculations in pu form and convert the result to actual values.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.
- 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.A 3 phase, star-connected, cylindrical rotor, 10 MVA, 11kV synchronous generator is supplying rated power to a unity power factor load. The terminal voltage and real power input to the machine are kept constant. A purcly inductive load is now switched in parallel to the unity power factor load, so that the load draws power at 0.85 power factor lagging. What is the percentage incrcase in the ficld excitation current under the new operating condition, if the synchronous reactance of the machine is 5N/ phase? Assume lincar flux- current relationship for the field.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 20MVA, 12.2KV, 0.8 PF lagging Y- connected SG has a negligible armature resistance and syn. Reactance of 8.2Ω, the generator is connected in parallel with a 60Hz 12.2Kv infinite bus that is capable of supplying any real or reactive power with no change in frequency or terminal voltage. A) find the internal generated voltage at rated condition. B) what is the armature rated current. C) suppose that the generator is initially operating at rated condition. If the internal generated voltage is decreased by 5%, what is will be the new armature current?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 with a synchronous reactance of 1.5 p.u. is connected to an infinite bus whose voltage is 1 p.u. The maximum permissible power output is 1.2 p.u. (a) Compute the excitation voltage. (b) The power output is gradually reduced to 0.7 p.u. with fixed field excitation. Find the new current and power angle δ.