On a 1000-MVA common base, a two-area system

Chapter , Problem 12.18

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On a 1000-MVA common base, a two-area system interconnected by a tie line has the following parameters: Area 1 2 Area Frequency Response Characteristic b1 _ 0:05 per unit b2 _ 0:0625 per unit Frequency-Dependent Load Coecient D1 _ 0:6 per unit D2 _ 0:9 per unit Base Power 1000 MVA 1000 MVA Governor Time Constant tg1 _ 0:25 s tg2 _ 0:3 s Turbine Time Constant tt1 _ 0:5 s tt2 _ 0:6 s The two areas are operating in parallel at the nominal frequency of 60 Hz. The areas are initially operating in steady state with each area supplying 1000 MW when a sudden load change of 187.5 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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