1. A 20 MVA, 3-phase, star-connected, 50-Hz, salient-pole has X = 1 p.u.; X = 0.65 p.u. and R₁ = 0.01 p.u. The generator delivers 15 MW at 0.8 p.f. lagging to an 11-kV, 50-Hz system. What is the load angle and excitation e.m.f. under these conditions? [18°; 1.73 p.u]
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- Consider a three-phase generator rated 300MVA,23kV, supplying a system load of 240 MA and 0.9 power factor lagging at 230 kV through a 330MVA,23/230Y-kV step-up transformer with a leakage reactance of 0.11 per unit. (a) Neglecting the exciting current and choosing base values at the load of 100 MVL and 230 kV. Find the phasor currents IA,IB, and IC supplied to the load in per unit. (b) By choosing the load terminal voltage IA as reference, specify the proper base for the generator circuit and determine the generator voltage V as well as the phasor currents IA,IB, and IC, from the generator. (Note: Take into account the phase shift of the transformer.) (C) Find the generator terminal voltage in kV and the real power supplied by the generator in MW. (d) By omitting the transformer phase shift altogether, check to see whether you get the same magnitude of generator terminal voltage and real power delivered by the generator.The magnitude of the no-load, line-neutral voltage induced on the ‘a’-phase stator windings of a synchronous 3 phase generator is |Ea | = 480 V. Presume the stator winding resistance is negligible, and that the synchronous reactance is Xs = 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, Vథ? b. What is the power angle (?)? c. What is the percent voltage regulation? d. What is the total 3 PHASE complex, real, and reactive power delivered to the load?a single-phase, 10-kVA, 200-V, generator has an internal impedance Z, of 2 Q. Using the ratings of the generator as base values, determine the generated per-unit voltage that is required to produce full-load current under the short-circuit condition.
- 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]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 regulationA 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 760-kVA, 2300-V, three-phase, Y-connected, synchronous generator is operated at its rated speed to obtain its rated no-load voltage. Later, another test finds that the short-circuit phase current is 128A. The average resistance of each phase is 0.56 ohm. 1) Determine the synchronous reactance per phase. 2) Determine the voltage regulation when the generator delivers the rated load at its rated voltage and 0.75 PF lagging.An 11 kV, three-phase, turbo alternator has a synchronous impedance per phase of(0,4 + j0,8) Ω and it supplies 2 kA at unity power factor to an infinite bus. Theexcitation is increased so that the emf is increased by 20%. Sketch a general loaddiagram and determine the following from this diagram: the armature current for maximum power output, the actual maximum power outputa) With the aid of a diagram and phasor diagram, explain the double-reactance concept for salient-pole alternators. b) 3-phase star-connected synchronous generator supplies a current of 10A having phase angle of 20° lagging 400V (phase voltage). Given the direct and quadrature axis reactances as 10ohms and 6.5ohms respectively and neglecting armature resistance, Find: 1. The load angle 2 The direct and quadrature components of armature currents 3. Voltage regulation
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