A 3 phase 1.2 MVA, 10 kV star connected synchronous generator has Zs= 0.2+J10 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 equal to (1.2) of rated voltage. 3. .Repeat part (2) when armature resistance is neglected
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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.While the instantaneous electric power delivered by a single-phase generator under balanced steady-state conditions is a function of time havi ng two components of a constant and a double-frequency sinusoid, the total instantaneous electric power delivered by a three-phase generator under balanced steady-state conditions is a constant. (a) True (b) FalseA generator rated 1MVA, 13.8 kV 60 hz 3-phase wye connected, 6-poles has 19Ω synchronous reactance per phase and negligible resistance. The field copper loss and SPL are 15 kW and 30 kW respectively. Determine the % VR and efficiency of the generator at rated load and unity power factor
- A 3-phase, Y-connected, 60 Hz, 6 MVA, 13.2kV synchronous generator has a synchronous reactance of 0.9 ohms and negligible resistance. It supplies a constant power load at rated conditions at 0.83 pf lagging. At the load, the line current lags the line-to-neutral voltage by how many degrees?A 2-pole, 50 Hz, 11 kV synchronous generator with a rating of 120 MW and 0.87 lagging power factor has a moment of inertia of 12,000 kg- . Calculate the constants H and M A 4-pole synchronous generator supplies over a short line a load of 60 MW to a load bus. If the maximum steady state capacity of the transmission line is 110 MW, determine the maximum sudden increase in the load that can be tolerated by the system without losing stabilityA power plant comprises three turbine-generators rated 1000 MW, 800 MW and 500 MW respectively. The regulation constant of each generator is 0.05 pu based on its own rating. Each unit is initially operating at one-half of its own rating, when the system load suddenly increases by 300 MW. Calculate the following:a) Per-unit area frequency response characteristic on a 1000 MW system base.b) Steady-state drop in area frequency [CR4]c) The share of the load increase on each generator.d) Total load on each generator after the increase in system load.Assume the reference power setting of each turbine is unchanged.
- 480V, 375 kVA, 0.8 lagging power factor Y - connected synchronous generator has synchronous reactance of 0.4 ohm and negligible armature resistance. This generator is supplying power to 480V 80KW 0.8 P.F leading , Y - connected S.M with synchronous reactance of 1.1 ohm and negligible armature resistance . The S.G is adjusted to have a terminal voltage of 480V when the motor is drawing the rated power at unity power factor . Calculate 1) the magnitudes and angles of emf for both machines. 2) if the flux of motors is increased by 10 percent, what happens to the terminal voltage of power system? What is its new value ? 3) what is the power factor of the motor at the new case.2) A three-phase, 60 Hz synchronous generator in Fig. 1 delivers 0.9 per-unit real power at 1.08 perunit terminal voltage to an infinite bus with voltage of 1.0 pu. The reactance data for the powersystem is given in per unit on a common base and shown in Fig. 1. Determine:a) the reactive power output at the terminal of the generator and reactive power delivered tothe infinite bus;b) the generator internal voltage (E′);c) determine and plot an equation for electrical power delivered by the generator to the infinitebus versus angle δ.Note: E′ is internal voltage behind transient reactance x′dWhen this generator is connected to a 13.8 kV distribution feeder of negligible impedanceand operates at an output power of 8.75 MW at 0.9 power factor lagging, work out the field current, the reactive-power output, and the load angle for this operating condition.
- A power plant comprises three turbine-generators rated 1000 MW, 800 MW and 600 MW respectively. The regulation constant of each generator is 0.05 pu based on its own rating. Each unit is initially operating at one-half of its own rating, when the system load suddenly increases by 250 MW. Calculate the following:a) Per-unit area frequency response characteristic on a 1000 MW system base [CR9]b) Steady-state drop in area frequency [CR4]c) The share of the load increase on each generator [CR9]d) Total load on each generator after the increase in system load [CR3]Assume the reference power setting of each turbine is unchanged.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…