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Invariant subspace parametric sensitivity (ISPS) of structure-preserving power system models

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2 Author(s)
Byongjun Lee ; Dept. of Electr. Eng. & Comput. Eng., Iowa State Univ., Ames, IA, USA ; Ajjarapu, V.

In this paper, the parametric sensitivities of a structure-preserving power system model are derived. The parametric sensitivities give the sensitivities of an equilibrium point with respect to a particular parameter of interest. A new invariant subspace parametric sensitivity (ISPS) is derived by projecting the total parametric sensitivity onto a particular eigenspace of interest. The ISPS provides the sensitivity of system stability. At a particular eigensubspace, ISPS of all the parameters under consideration are represented by a right eigenvector multiplied by a scalar σ. Then the parameter which has the most influence on the subspace can be determined by selecting the largest value of σ. The methodology is applied to a New England 39-bus system to identify components and parameters that are responsible fora possible system instability

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Power Systems, IEEE Transactions on  (Volume:11 ,  Issue: 2 )