Eigensensitivity analysis for differential-algebraic power system models

The authors present a method for the determination of the sensitivity of the dominant critical mode of a system to changes in system control parameters. The method is used to determine optimal locations for the siting of static VAR compensator devices to improve the system dynamic limit. The method is based on an augmented formulation which includes both differential and algebraic models explicitly. The sparsity of power system models is retained by the use of the augmented formulation. The proposed method is computationally efficient and complements other design methods such as participation factors and transfer function residue methods