BIFURCATION AND CHAOS THEORY AS APPLIED TO SSR OF THE IEEE SECOND BENCHMARK MODEL (SYSTEM # 2) WITH THE PRESENCE OF THE DAMPER WINDINGS

A.M. Harb∗ and M.M. Omari∗

References

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  9. [9] A.H. Nayfeh & B. Balachandran, Applied nonlinear dynamics(New York: Wiley, 1995).AppendixThe numerical parameter of the system are (in per unit onthe base of generator ratings):(a) Network impedances:Rtr1 = 0.0002 Xtr1 = 0.0200 Rtr2 = 0.0004Xtr2 = 0.0400RL = 0.0052 XL = 0.0540 Rb = 0.0014Xb = 0.0300(b) Synchronous machine parameters in the d–q referenceframe:First unit:Ra1 = 0.0045 Xd1 = 1.6500 Xq1 = 1.5900Xmd1 = 1.5100Xmq1 = 1.4500 Rf1 = 0.00096 Xf1 = 1.6286RD1 = 0.0160XD1 = 1.6420 RQ1 = 0.0116 XQ1 = 1.5238Ra2 = 0.0045Second unit:Xd2 = 1.5400 Xq2 = 1.5000 Xmd2 = 1.5100Xmq2 = 1.4500Rf2 = 0.00096 Xf2 = 1.6286 RD2 = 0.0160XD2 = 1.6420RQ2 = 0.0116 XQ2 = 1.5238(c) Shaft inertias and dampings:M1 = 0.4980 M2 = 3.1004 M3 = 1.7581M4 = 0.0138 M1b = 1.0982 M2b = 3.7040M3b = 3.3491D1 = 0.0498 D2 = 0.3100 D3 = 0.1758D4 = 0.0014 D1b = 0.0210 D2b = 0.0740D3b = 0.0659(d) Spring constants:K12 = 42.6572 K23 = 83.3825K34 = 3.7363 K12b = 169.114K23b = 132.857

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