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**Extra info for Multiplicity for a nonlinear fourth order elliptic equation in Maxwell-Chern-Simons vortex theory**

**Example text**

The assumptions previously used in the computation of machine parameters based on test data can also be dispensed with, according to Canay [21]. 2 Synchronous Machine The synchronous machine considered is shown in Fig. 1. This shows a three phase armature windings (a, b and c) on the stator and four windings on the rotor including the field winding 'f'. The amortisseur (or damper) circuits in the salient pole machine or the eddy-current effects in the rotor are represented by a set of coils with constant parameters.

5 pu R bmax - This corresponds to 8* given by X~ = = 90 - -Rtan¢* a* = 90 - 30° = 60°. 5 Consider the system shown in Fig. 7. The generator G has negligible impedance while the SVC can be represented by a voltage source Es in series with a reactance Xs. Obtain expression for 1 V 1 and Pe as function of E, Es and 8. Solution At the SVC bus, the system external to the SVC can be represented by a Thevenin's equivalent shown in Fig. 8(a). The combined equivalent circuit of the external system and the SVC is shown in Fig.

The current supplied by the generator (and losses) are higher for the case with larger (absolute) angle. terminals. This results in lower losses as compared to the case if the net reactance was capacitive. Note that, negative Xe can result from overcompensation of the transmission line reactance using series capacitors (although this is never done in practice). 2. The rest of the data is same as before. 1, X . 8° is an UEP. ~ (8 = 8;) < O. 546 Solution The equilibrium values for 8, in this case are 8!