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3 Generator System Example

3 Generator System Example. Starrett Mini-Lecture #7. 3 Generator System. 9-bus system from Anderson & Fouad Base case load level with uniform damping. Eigenvalues.

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3 Generator System Example

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  1. 3 Generator System Example Starrett Mini-Lecture #7

  2. 3 Generator System • 9-bus system from Anderson & Fouad • Base case load level with uniform damping

  3. Eigenvalues TIME FREQ DAMPINGMODE REAL IMAG CONST HERTZ RATIO--- ----------- ---------- ------ ------- ---------1 -0.0001 8626.2 -0.0693 8.69 14.43 1.3829 0.00804 -0.0937 10.675 -0.1492 13.36 6.703 2.1262 0.0112

  4. Participation Matrix EIGENVALUE: -0.069 8.689J -0.149 13.359J STATE TYPE REAL IMAG REAL IMAG ------------------------------------------------- 1 CGEN 1 0.481 -0.008 0.013 0.000 2 CGEN 2 0.481 -0.011 0.013 0.000 3 CGEN 1 1.000 0.021 0.215 -0.004 4 CGEN 2 1.000 0.003 0.215 -0.007 5 CGEN 1 0.148 0.000 1.000 0.018 6 CGEN 2 0.148 -0.005 1.000 -0.007

  5. Right Eigenvector Matrix EIGENVALUE: -0.069 8.689J -0.149 13.359J STATE TYPE REAL IMAG REAL IMAG -------------------------------------------------- 1 CGEN 1 -0.541 0.010 -0.059 0.001 2 CGEN 2 0.002 0.062 0.000 0.004 3 CGEN 1 1.414 0.000 -0.440 0.008 4 CGEN 2 -0.001 -0.163 0.001 0.033 5 CGEN 1 0.810 -0.007 1.414 0.000 6 CGEN 2 -0.002 -0.093 -0.001 -0.106

  6. Left Eigenvector Matrix EIGENVALUE: -0.069 8.689J -0.149 13.359J STATE TYPE REAL IMAG REAL IMAG -------------------------------------------------- 1 CGEN 1 -0.546 0.001 -0.178 0.001 2 CGEN 2 0.023 4.746 0.036 2.377 3 CGEN 1 0.434 -0.009 -0.398 0.000 4 CGEN 2 -0.041 -3.771 -0.005 5.318 5 CGEN 1 0.112 -0.001 0.576 -0.010 6 CGEN 2 0.018 -0.975 -0.031 -7.695

  7. Question • On which machine would you put a PSS to damp the 8.7 rad/sec mode?

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