I need the resolution of these questions step by step. The subject of the questions is Dynamic and Control of Drives.

 

CME – HW#22016CME – Controle de Máquinas Elétricas – 2016Due Date: Thursday, October 27Name ___________________________________Required Homework #2Note:Please fill in the answers on these sheets to simplify grading but attach separatesheets that include all calculations used to complete your homework so that the gradercan assign partial credit when appropriate.1. A 100 hp squirrel-cage induction machine has the following parameters and characteristics:460 V (line to line); 60 Hz; 4 poles;ZB= 2.84 Ω; VB376 V; IB= 132 A; TB= 395.8 Nm (base values)r1= r2= 0.015 pu = 0.0425 Ωx1= x2= 0.100 pu = 0.284 Ωxm= 3.0 pu = 8.51 ΩRated Operation: sR= 0.0177; IR= 1.17pu; cos θR= 0.884Assume that the machine is initially operating at rated load with rated voltage and frequency. Awye-connected resistive load drawing 0.25pu power (on the same 100 hp base) is connected inparallel with the stator terminals of the machine. At time t= 0, when the complex excitation voltagevector is aligned with stator phasea, the three-phase voltage source is simultaneously disconnectedfrom all three phases of the parallel-connected machine and resistive load. Assume that the rotorinertia is infinite so that the rotor speed is fixed at its initial value.a) Find the constant-speed eigenvalues in thestatorreference frame that characterize the switchingtransient following removal of the source.λ_1= _____________________________rad/sλ_2= _____________________________rad/sb) Find the initial values of the complex vectors representing the stator and the rotor flux linkagesin the stator reference frame.λ_qds0s= _______________________________puλ_qdr0s= _______________________________puc) Find the time domain expressions for the complex vectors representing the stator voltage v_qdssthe stator current i_qdss, the rotor flux linkage λ_qdrs, and the torque Tefollowing the switchingevent. Use MATLAB or some other computer program to plot, vas(t), ias(t), |λ_qdrs| = λr(t), andin per-unit on separate axes between t = 0 and 0.1s.

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