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This paper presents an economic and secure approach for rescuing frequency runaway after the loss of a generator unit using economic dispatch of primary reserve subject to frequency deviation and network constraints. The rapid primary frequency regulation reserve will be dispatched in an economic and secure manner as not to violate the transmission lines limits after the loss of a large generator unit. The proposed method is formulated and solved using linear programming. Examples, using a three generator six bus and nine generator IEEE 30 bus systems, demonstrating application of the method is presented and discussed.