Question-6 A non-salient pole, three-phase, Y-connected synchronous generator with synchronous reactance of X, 14.0 delivers active power P 1.68 Mw to the power system at inductive power factor. The line-to-line voltage is VIL=11 kV and armature current I, 100 A. Find: a. The power factor (cos ). b. The load angle (8). c. The EMF EA induced in the armature winding. *The armature winding resistance is negligible (R = 0).
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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.For Problem 3.18, the motor operates at full load, at 0.8 power factor leading, and at a terminal voltage of 10.45 kV. Determine (a) the voltage at bus 1, which is the generator bus, and (b) the generator and motor internal EMFs.a) 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
- 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.A 3 phase, star connected synchronous generator supplies current of 10A having phase angle of 20º lagging at 400V. Find the load angle and the components of armature current Id and Iq if Xd = 10 ohm and Xq = 6.5 ohm Assume armature resistances to be negligibleIn 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.
- A 3 phase 4MVA, 12 kV star connected synchronous generator has Zs= 0.8+J30 ohm. Using circle diagram only, find: 1. The output power developed at unity power factor with excitation equal to 1.25 of rated voltage. 2. The load angle and power factor if the generator supplies (1500 KW) at rated voltage and excitation lequal to (1.2) of rated voltage. 3. Repeat part (2) when .armature resistance is neglecteda) 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 regulationQUESTION 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…
- 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 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 generatorA 25kVA, 3-phase, wye connected, the 400-V synchronous generator has a synchronous reactance of 1.6 per phase. The generator is to have zero voltage regulation at full-load. Neglecting the armature resistance, find the operating power factor and the developed power.