A 2.3 MW, 690 V, 50 Hz squirrel cage induction generator (SCIG) is used in a fixed-speed wind energyconversion system (WECS). The SCIG is directly connected to the grid of 690 V/50 Hz. For a given windspeed, the generator operates at the speed of 1508 rpm, at which the rotational losses of the generator are 13kW, the generator parameters are given asTable B-1. 2.3 MW, 690 V, 50 Hz squirrel cage induction generator (SCIG)parametersGenerator TypeSCIG, 2.3 MW, 690 V, 50 HzRated Output PowerRated Mechanical Power2.30 MW2.3339 MW1.0 pu1.0 puRated Apparent PowerRated Line-to-line VoltageRated Phase VoltageRated Stator Current2.59 MVA690 V (rms)398.4 V (rms)2168 A (rms)1.0 pu1.0 pu1.0 puRated Stator Frequency50 HzRated Power Factor0.888Rated Rotor SpeedRated Slip1512 rpm1.0 pu-0.008Number of Pole Pairs2Rated Mechanical Torque14.74 kN-m1.0 puTable B-1. ContinuedGenerator TypeSCIG, 2.3 MW, 690 V, 50 HzRated Stator Flux LinkageRated Rotor Flux LinkageStator Winding Resistance, R,Rotor Winding Resistance, R,Stator Leakage Inductance, L,Rotor Leakage Inductance, L,Magnetizing Inductance, LmMoment of Inertia, JInertia Time Constant, HBase Flux Linkage, AgBase Impedance, ZBBase Inductance, LâBase Capacitance, Câ1.2748 Wb (rms)1.2096 Wb (rms)1.102 mN1.0053 pu0.9539 pu0.006 pu0.008 pu1.497 m20.06492 mH0.111 pu0.111 pu3.6481 pu0.06492 mH2.13461 mH1200 kg-m²5.8078 sec1.2681 Wb (rms)0.1838 N1.0 pu1.0 pu1.0 pu1.0 pu0.58513 mH17316.17 µFNote: H = J(„}/(2Sg) Using the induction generator equivalent circuit shown in the following figure,ī, R,jXrR,Isī,Imv,jXm3Stator circuitRotor circuitdetermine the followings and elearly write your calculation steps in the answers:a) The slip, and rotor mechanical and electrical speedsb) The stator and rotor currentsc) The mechanical power and torqued) The stator and rotor winding lossese) The generator efficiency and power factorf) The stator and rotor flux linkages

“Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Answered: a) The slip, and rotor mechanical and…

a) The slip, and rotor mechanical and electrical speeds b) The stator and rotor currents c) The mechanical power and torque

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter11: Transient Stability

Section: Chapter Questions

Problem 11.3P

See similar textbooks

Similar questions

Would a positive-rotating harmonic or a negative-rotating harmonic be more harmful to an induction motor? Explain your answer.
A long shunt cumulative compound dc generator delivers a load current of 60A at 440V. The shunt field resistance , series field resistance and armature resistance are 80, 0.9 and 0.4 respectively. Calculate the induced emf and load resistance.
Problem: The field current of a 100-kW, 250V shunt generator is 5A when delivering power at rated terminal voltage and rated load current. The combined armature and brush resistance is 0.1 ohm. 1.)Calculate the generated power in kW. 2.)What is the electrical efficiency? * Formatt: given required solution answer
A three-phase, Y-connected, 220 V, 5 kVA, salient-pole synchronous generator is employed to supply power to a load with unitary fp. By means of a slip test, the direct-axis synchronous reactance is determined to be 12 Ω and the quadrature-axis synchronous reactance, 7 Ω. Consider that the rated current is delivered to the load at the rated voltage and that the armature resistance is negligible. (a) Calculate the corresponding value of the excitation voltage. (b) What is the value of the internal phase shift angle? (c) What is the value of the power angle?
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 neglected
(a) A short shunt cumulative compound dc generator supplies 6kW at 235V. The Shunt field resistance, Series field resistance and Armature resistances are 8012, 0.192 and 0.22 respectively. Calculate the induced emf and load resistance.
A 50 Hz, 4-pole turbo generator is rated 500 MVA, 22 kV and has an inertiaconstant (H) of 7.5. Assume that the generator is synchronized with a large powersystem and has a zero accelerating power while delivering a power of 450 MW.Suddenly its input power is changed to 475 MW. Find the speed of the generator inrpm at the end of a period of 10 cycles. The rotational losses are assumed to be zero.
a. With the aid of a diagram explain the principle of operation of a three-phase asynchronous motor. b. With the aid of mathematical expressions where necessary, explain the following terms with respect to squirrel cage induction motorsi. Stray Lossesii. Air gap Poweriii. Rotational lossesiv. Friction and Windage lossesv. Stator Copper lossesvi. Rotor Copper lossesvii. Mechanical Losses c. Compare the characteristics of the following types of generators- Separately excited generators- Series wound generators- Shunt-wound generators
A short shunt compound generator has an armature; series field and shunt field resistances of 0.031Ω, 0.04Ω and 100Ω respectively. At rated load condition, the terminal voltage is 400V while the armature is developing an emf of 409V. Find the kW delivered to the load at rated condition.
A 480-V, 60-Hz, Y-Connected synchronous generator,having the synchronous reactance of 1.04 ohm andnegligible armature resistance, is operating alone. Theterminal voltage at rated field current at open circuitcondition is 480V.1. Calculate the voltage regulation1. If load current is 100A at 0.8 PF lagging2. If load current is 100A at 0.8 PF leading3. If load current is 100A at unity PF2. Calculate the real and reactive power delivered in eachcase.3. State and explain whether the voltage regulation willimprove or not if the load current is decreased to 50 Afrom 100 A at 0.8 PF lagging.
Open circuit tests carried out on a 3.5 MVA, 4.16 kV, 60 Hz, three phase star connected synchronous generator gave the following results:If (A):1015202530EL (kV):3.54.165.76.257.95In the short circuit test a field current of 20A was needed to circulate full load current. The armature winding resistance is 1.2Ω /phase, the field winding resistance is 500 Ω and the rotational loss is 250kW. Determine the power angle, the voltage regulation and the efficiency when the generator delivers rated load at terminal voltage of 4.4 kV and at 0.8 power factor leading.Draw the power flow diagram for the generator and include all values of power flows.
The air-gap flux density of a two-pole induction motor is given by B=Bm cos(ωt−θ)where Bm is the peak flux density, θ is the angular displacement around the air gap, and we have assumed clockwise rotation. Give the corresponding expression for the flux density of a four-pole induction motor; of a six-pole induction motor.