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

Nonlinear magnetic circuits

must

Example must must must and So, (symmetric linear)

A generic saturation model

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.

Complete transformed nonlinear model

Special case from the literature

Steady state, open circuit conditions:

2 solutions

But