1. ECE 576 POWER SYSTEM DYNAMICS AND STABILITY
Lecture 15b
Single-Machine Infinite-Bus System
Professor Pete Sauer
Department of Electrical and Computer Engineering
© 2000 University of Illinois Board of Trustees, All Rights Reserved

2. Classical model
Or, go back to the two-axis model and assume:

4. This is a pendulum model
Neglect resistance and assume TCH = ∞
This is a pendulum model

5. This is a pendulum modelOr
This is a pendulum model

6. Response with K1=5, K2=10, K3=1.7 (appropriate units)
Euler forward method with time step of sec
Initial angle -1 radian
Initial speed 7.0 rad/sec

8. Phase portrait – Omega vs Delta

9. Response with K3=1.3 (appropriate units) – Delta converges to 30 degrees plus 720 degrees

10. Interesting result – increase the time step to be 0
Interesting result – increase the time step to be sec – results in loss of damping!