[SOLVED] Steady-State Analvsis

Introduction: This assignment aims to test thestudent’sunderstanding of per unit calculation, steady-state analysis and modelling of synchronous generator.The assignment deadline is available on Canvas.

Q1(Per Unit Calculation and Steady-State Analvsis)

Consider a 2 polesynchronous generator rated at 500 MVA,20 kV,50 Hz and 0.88 power factor with 3 phase stator windings.The inductances andresistances associated with the stator and field windings are listed as follows:

a. Please  calculate  the  values  forL   ,L₄,L/and  L  in  henrys.

b. With the machine rated values as base values for stator quantities,please calculate the base values for other statorand rotor quantities.

c. Using the calculated base values from b,calculatethe per unit values of the following according to the L -base per unit system:

d. Consider damper windings  on the  d-and  q-axes with their per unit  inductances  and resistances shown in(3)and assume that L is equal to L:

If the generator is delivering rated MVA at 0.92 power factor (lag)and rated terminal voltage,please calculatetheinternal angleδ in degrees and the per unit values offollowing electrical variables:

Q2 (dg0 transform)

Consider the following three-phase positive sequence currentswith frequency of 60 Hz:

a. Please  calculate  the  corresponding  values  ofi,andi,if  the  rotating  dqO  frame’s  d-axis  is aligned with phase A axis at time zero.

b. Please implement dqO transformation of three-phase currents in(5)using SIMULINK and validate your answer in a.

c. What are the values ofi,andi,if d-axis is leading the phase A axis by 90 degrees at time zero?Calculate the result using SIMULINK and explain it.