Calculate the corresponding values of id and iq if the rotating dq0 frame’s d-axis is aligned with phase A axis at time zero. What are the values of id and iq if d-axis is leading the phase A axis by 90 degrees at time zero? Calculate the result using SIMULINK and explain it.

dq0 transform（Park’s Transformation）

Introduction to the assignment：
This assignment aims to test the student’s understanding of dq0 transform（Park’s Transformation）.

Task:
Write a report for this assignment
Report Structure: The report should include the following sections:
1. Theory on dq0 transform（Park’s Transformation）
2. Results and Discussions on the results （Question 3 needs to explain the result，put content of this part in the discussion）
3. Conclusions
4. References (IEEE format should be used)

Details of the assignment：
Consider the following three-phase positive sequence currents with frequency of 60 Hz:

⦁ Calculate the corresponding values of id and iq if the rotating dq0 frame’s d-axis is aligned with phase A axis at time zero.
Solution：

⦁ Implement dq0 transformation of three-phase currents in (5) using SIMULINK and validate your answer in a.
The calculation results of simulink are as follows

⦁ What are the values of id and iq if d-axis is leading the phase A axis by 90 degrees at time zero? Calculate the result using SIMULINK and explain it.
The calculation results of simulink are as follows;