Problem 3: A 3-phase, Y-connected, 6-pole, 60HZ generator has X, = 12 . negligible r, (stator resistance), and L = 0.2H. The machine operates at a power angle of 31.48' with a field current of 100A. The line-to-neutral terminal voltage is 2400Vrms. a. Find the speed of the prime mover in rad/sec b. Determine the excitation voltage c. Find the line current d. Find the power consumed by the load and its power factor e. Find the developed torque
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- In a three-phase, Y-connected, 750-kVA, 1732-V, synchronous generator afield current of 20 A at the rated speed produces a current of 300 A onshort circuit and a voltage of 1732 V on open circuit. The resistance betweenany two terminals of the generator is 0.8 R. Determine the synchronousreactance of the generator. The rotational loss is 20 kW. Using the per-unitsystem, determine the voltage regulation and the efficiency of the generatorwhen it delivers the rated load at its rated voltage and unity power factor.QUESTION 1:- (a) A 4-pole, 3-phase, star-connected, 50 Hz synchronous generator, with a synchronous impedance of j24.5 Ω/phase and negligible resistance, delivers 5 MW of power to a 13.8 kV busbar. At this operating point, the excitation is equal to 1.8 p.u. Calculate the phase value of the generated emf (E) and hence calculate the electrical load angle, δ, at which the machine is operating. (b) Sketch a typical operating chart for a salient pole synchronous generator and on the chart identify the following; The Apparent Power limit, The field (excitation) limit, The Real Power limit, A line which represents a constant lagging power factor, The rotor angle for operation at any given point of operation, e.g. rated power and 0.9 power factor lag. (c) A Stamford HCI534F framesize generator has been selected for a stand-alone diesel-generation application. The generator is to operate at 400 V, 50 Hz, with the self-excited (SX) excitation scheme. Datasheet information can be…In a long-shunt compound generator, the terminal voltage is 220 Vwhen generator delivers 110 A. Determine (a) induced emf and (b)total power generated. Given that shunt field, series field,diverter and armature resistances are 90 Ω, 0.025 Ω, 0.04 Ω and0.03 Ω respectively.
- Show that an alternator running in parallel on constant-voltage and frequency bus-bars has a natural time period of oscillation. Deduce a formula for the time of one complete oscillation and calculate its value for a 5000-kVA, 3-phase, 10,000-V machine running at 1500 r.p.m. on constant 50-Hz bus-bars. The moment of inertia of the whole moving system is 14,112 kg-m2 and the steady short-circuit is five times the normal full-load value. ANSWER IS [1.33 second]Problem: A short-shunt compound generator has armature, shunt field and series field resistances of 0.5 Ω, 156 Ω, and 0.465 Ω respectively. If it supplies a load of 9 kW at a terminal voltage of 241 V, calculate the generated emf in volt. *Four decimal placesA shunt generator has an external characteristic whose terminal voltage is given by the equation VT = 240 – 0.5IL, where IL is the load current and RL=12Ω, what is the value of the terminal voltage VT (in Volts).
- The magnitude of the no-load, line-neutral voltage induced on the ‘a’-phase stator windings of a synchronous 3? generator is |?a | = 480 V. Presume the stator winding resistance is negligible, and that the synchronous reactance is ?௦ = 1.1 Ω. The full-load, per-phase current magnitude for the generator is 30 A at a power factor of 0.8 leading . For these conditions: a. What is the line-neutral ‘a’-phase terminal voltage, ?థ? b. What is the power angle (?)? c. What is the percent voltage regulation? d. What is the total 3? complex, real, and reactive power delivered to the load?A long-shunt compound d.c. generator with armature, series field and shunt field resistance of 0.5, 0.4 and 250 Ω respectively gave the following readings when run at constant speed : Load current (A) : 0 10 20 30 40Terminal p.d. (V) : 480 478 475 471 467 Plot the curve of internal generated e.m.f. against load current. Explain fully the steps by which this curve is obtained and tabulate the values from which it is plotted.A three-phase Y-connected synchronous generator has rated values of 90 MVA, 15 kV, 0.6 reverse power factor, 50-Hz. Synchronous reactance 1.6 ohmsand armature resistance is neglected. According to thisa) Find the induced voltage (EA) and armature current (LA). b) Find the voltage regulation.c) If this generator was operated at 60 Hz with the same armature and field losses as at 50 Hz; What would be the voltage, apparent power and reactance of the generator
- In a delta connected, round rotor 3-phase synchronous generator with mains phase voltage V1L= 400 V: Ef= 2*V1, Ra negligible, Xs=10 Ohm, Mechanical losses negligible, current value of load angle is 20 degrees (initial case) . The machine works in parallel with the mains. In the new case, the generator's driving torque is being modified. Keeping the above given, the new value of the load angle becomes 3 times its initial value. Which of the following is the ratio of the generator driving torque in the new state to the driving torque in the original state? a) 0.395 b) 2.532 c) 4.596 d) -1.815 e) 4.386 f) -0.605 g) 7.596A 20 kW, 440-V, short-shunt, compound d.c. generator has a full-load efficiency of 87%. If theresistance of the armature and interpoles is 0.4 Ω and that of the series and shunt fields 0.25 Ωand 240 Ω respectively, calculate the combined bearing friction, windage and core-loss of themachine.A long shunt compound DC generator delivers a load current of 150A at 230V and has armature, series field and shunt field resistances of 0.032, 0.015 and 92Ωrespectively. Calculate (i) induced emf (ii) total power generated and (iii) distribution of this power (iv) voltage regulation