Power system control and stability
1 Solving the Swing Equation for a network of 3 generators
during a fault and post fault
| i = 1, 2, 3 | (1) |
|---|
| given by: | 2Hi | (2 | |
|---|---|---|---|
| ωi |
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(2 | |
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(3) |
2
3. what is the largest number of cycles before the fault must be cleared for the network to be stable post fault ?
units for power and admittance matrices below are in pu based on a 100 MVA base. The excitation voltages for the generators in pu are: Ei = 1.0566, 1.0502, 1.0170 and the initial angle of generator 1 is δ1 = 2.2717◦respectively. Network admittance matrices:
| 4 | Yprefault = | | 0.846 − j2.988 0.287 + j1.513 |
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(4) | |||||
|---|---|---|---|---|---|---|---|---|---|---|
| 0.210 + j1.226 | ||||||||||
| Yfault = | | 0.657 − j3.816 0.000 + j0.000 |
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(5) | |||||
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| 0.070 + j0.631 | ||||||||||
| Ypostfault = | | 1.181 − j2.229 0.138 + j0.726 | (6) | |||||||
| 0.191 + j1.079 | ||||||||||
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Anderson, P.M. and Fouad, A.A Power System Control and Stability, IEEE-Wiley Press book, 2003, Pgs. 35 - 47. Note: This book can be accessed online through the library using the IEEE Database.
