1. ECE 576 POWER SYSTEM DYNAMICS AND STABILITY
Lecture 5
Synchronous Machine Dynamics
Professor Pete Sauer
Department of Electrical and Computer Engineering
© 2000 University of Illinois Board of Trustees, All Rights Reserved

3. Change from “motor” to “generator” notation.
Per unit variables and parameters (scaling)
Change from “motor” to “generator” notation.
Modify the flux linkage current relationship to account for the non power invariant “dqo” transformation.

4. where VBABC is rated RMS line-to-neutral stator voltage and

5. where VBDQ is rated peak line-to-neutral stator voltage and

7. where the rotor circuit base voltages are
and the rotor circuit base flux linkages are

10. Assume sinusoidal steady state

12. These algebraic equations can be written as complex equations,
Using
These algebraic equations can be written as complex equations,

13. Now assume a linear magnetic circuit

14. L12 = 0
L12 = + maximum
L12 = - maximum

17. Recall the reciprocity conditions
Etc.

19. Define new variables

20. Substitute new variables and solve for rotor currents

22. Final complete model

25. Nonlinear magnetic circuits