1. ECE 576 POWER SYSTEM DYNAMICS AND STABILITY
Lecture 15
Steady-state
Professor Pete Sauer
Department of Electrical and Computer Engineering
© 2000 University of Illinois Board of Trustees, All Rights Reserved

2. Example

3. Find: all synchronous machine dynamic states

8. Check:

9. (close to .615)

12. With saturation in d-axis only:

13. Same as before:

14. Up from 2.41

15. (up from 1.05)

16. With saturation in d and q axes:

19. Given:
Compute
Iterate to find

20. Step 1. Guess
Step 2. Compute
Step 3. Compute
Step 4. Compute
using

21. using Step 5. Update Step 6. Update Step 7. Go to Step 3
This is a fixed-point iteration - could use Newton’s method

22. Use:
Choose:

23. a) b)
(assume this to start)

26. Continue iteration until convergence.