The generator in Figure 11.4 is initially operating in the steady-state condition given in Example 11.3 when circuit breaker B12 inadvertently opens. Use the equal-area criterion to calculate the maximum value of the generator power angle \(\delta\). Assume \(\omega_{\text {p.u. }}(t)=1.0\) in the swing equation.

Example 11.3

Figure 11.4 shows a single-line diagram of a three-phase, \(60-\mathrm{Hz}\) synchronous generator, connected through a transformer and parallel transmission lines to an infinite bus. All reactances are given in per-unit on a common system base. If the infinite bus receives 1.0 per unit real power at 0.95 p.f. lagging, determine

(a) the internal voltage of the generator and

(b) the equation for the electrical power delivered by the generator versus its power angle \(\delta\).

Figure 11.4

Transcribed Image Text:

G XTA = 0.10 038 X = 0.30 B11 B12 F B13 X3 = 0.10 0.20 3 B21 X23 = 0.20 B22 2 XI Vous = 1.0