1. ECE 576 POWER SYSTEM DYNAMICS AND STABILITY
Lecture 6
Nonlinear Magnetic Circuit
Professor Pete Sauer
Department of Electrical and Computer Engineering
© 2000 University of Illinois Board of Trustees, All Rights Reserved

2. Nonlinear magnetic circuits

5. must

6. Example
must
must
must
and
So,
(symmetric linear)

7. A generic saturation model

8. Assume the linear terms and Sabc and Srotor satisfy the
reciprocity constraints.
Assume that when abc, iabc are
transformed, the “dqo” -i relationship is independent of shaft.

13. Complete transformed nonlinear model

17. Special case from the literature

19. Steady state, open circuit conditions:

24. 2 solutions

25. But