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By Edward Wilson Kimbark

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Additional info for Power System Stability (IEEE Press Series on Power Engineering) (Volumes III)

Sample text

In a machine with a solid round rotor, the changing reactance due to quadrature-axis eddy currents can be represented fairly well as the sum of two exponentials, one of which is rapid, the other slow. The slower transient, extrapolated back to zero time, gives x q ' ; the initial total reactance is x q " . In such machines the value of x q ' is between the values of Xd' and X q , and x q " is slightly smaller than x q ' . Negative-sequence reactance X2. Let the unexcited field structure be rotated forward at synchronous speed with all rotor circuits closed while negative-sequence currents are applied to the armature winding.

Armature short-circuit time constant T a • This time constant applies to direct current in the armature windings and to alternating currents in the field and amortisseur windings, both of which are closed. It is equal to the ratio of armature inductance to armature resistance under the stated conditions. The armature inductance under these conditions is equal to the negative-sequence inductance L 2 because, although the rotor currents are of fundamental frequency in the present case and twice fundamental frequency in the negative-sequence case, in both cases the flux linkages of the rotor circuits are constant and the flux created by the armature current is forced into low-permeance paths, as illustrated in Figs.

Travels at twice normal speed with respect to the armature and induces positive-sequence second-harmonic currents in the armature in order to prevent any change of armature flux linkage. f, from inducing secondharmonic armature currents. Decrements. If the flux linkages remained absolutely constant, the short-circuit currents would not decay. " The direct-axis short-circuit time constants Tel' and T d" control the decrement of alternating armature currents and direct field currents; the armature short-circuit time constant T a controls the decrement of the direct armature currents and alternating field current.

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