SMIB - PowerWorld

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SMIB Eigenvalues Dialog • Eigenvalues – The SMIB eigenvalues – Each row corresponds to an eigenvalue – Columns contain real part, imaginary part, damping ratio, damping frequency, participation factors, and more – Participation factors show how system states contribute to (“participate in”) a particular eigenvalue SMIB dialog- Eigenvalues tab Participation factors T11: SMIB Training © 2012 PowerWorld Corporation WestExample.pwb 14
SMIB Eigenvalues Dialog Pole locations σ = ζω n s =− σ ± jω d θ = X sin −1 ζ Im(s) ω = ω 1−ζ d n ζ 2 Damping ratio Damped natural frequency ωd Undamped natural frequency ωn Decay rate of exponential envelope σ −σ ω d ω n ζ ω d 2π ω n X σ 2π ω n ω 2π d ω d Re(s) G. F. Franklin, J. D. Powell, A. Emami-Naeini, Feedback Control of Dynamic Systems, 5th edition, Prentice Hall, 2006. T11: SMIB Training © 2012 PowerWorld Corporation 15 WestExample.pwb
Page 1 and 2: Transient Stability Analysis with P
Page 3 and 4: SMIB Eigenvalues • Click Run SMIB
Page 5 and 6: SMIB Eigenvalues Example • Open t
Page 7 and 8: Extremely Large Negative Minimum Ei
Page 9 and 10: SMIB Eigenvalues Example • After
Page 11 and 12: SMIB Eigenvalues Dialog • Some of
Page 13: SMIB Eigenvalues Dialog • A Matri
Page 17 and 18: SMIB Eigenvalues Example • Going
Page 19 and 20: SMIB Two-Bus Equivalent • Now ope
Page 21 and 22: SMIB Participation Factors • Open
Page 23 and 24: SMIB Eigenvalues Example • Also,
Page 25 and 26: SMIB Eigenvalues Example • Howeve
Page 27 and 28: SMIB Eigenvalues Example • Let’

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