Consider the following three$-$phase positive sequence currents with frequency of $60$ Hz:sin$()$

$2$

sin$()$

$3$

$2$

sin$()$

$3$

a

b

c

i t

i t

i t

$$

$$

$$

$$

$=$

$=$

$=+$

$(5)$

a$.$ Please calculate the corresponding values ofdi andq

i if the rotating dq$0$ frame$$s d$-$axis is

aligned with phase A axis at time zero.

b$.$ Please implement dq$0$ transformation of three$-$phase currents in $(5)$ using SIMULINK and

validate your answer in a$.$

c$.$ What are the values ofdi andq

i if d$-$axis is leading the phase A axis by $90$ degrees at time

zero? Calculate the result using SIMULINK and explain it can solve it step by step and give code for simulink