On a 1000-MVA common base, a two-area system interconnected by a tie line has the following parameters:

The two areas are operating in parallel at the nominal frequency of \(60 \mathrm{~Hz}\). The areas are initially operating in steady state with each area supplying 1000 MW when a sudden load change of \(187.5 \mathrm{MW}\) occurs in area 1. Compute the new steady-state frequency and change in tie-line power flow

(a) without LFC, and

(b) with LFC.

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Area Area Frequency Response Characteristic Frequency-Dependent Load Coefficient Base Power Governor Time Constant Turbine Time Constant 1 B = 0.05 per unit D. = 0.6 per unit 1000 MVA Tu = 0.25 S 0.5 s = 2 B = 0.0625 per unit D = 0.9 per unit 1000 MVA Tg2 0.3 s = T2 = 0.6 s