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

Example

Find: all synchronous machine dynamic states

Check:

(close to .615)

With saturation in d-axis only:

Same as before:

Up from 2.41

(up from 1.05)

With saturation in d and q axes:

Given: Compute Iterate to find

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

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

Use: Choose:

a) b) (assume this to start)

Continue iteration until convergence.