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Title of Journal: Sci China Technol Sci

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Abbravation: Science China Technological Sciences

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SP Science China Press

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10.1002/9783527639878.ch3

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1869-1900

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Matrix perturbation based approach for sensitivity

Authors: ChengShan Wang Yan Li Ke Peng Zhen Wu ChongBo Sun Kai Yuan
Publish Date: 2012/10/19
Volume: 56, Issue: 1, Pages: 237-244
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Abstract

Sensitivities of eigensolutions to control variables play an important role in microgrid studies such as coordinated optimal design of controllers and parameters robust stability analysis on control variables oscillation modes analysis on a system etc Considering the importance of sensitivities and the complexity of state matrix in a microgrid parameter perturbations are utilized in this paper to analyze the construction characteristics of state matrix Then the sensitivities of eigenvalues and eigenvectors to control variables are obtained based on the firstorder matrix perturbation theory which makes the complex derivations of sensitivity formulas and repeated solutions of eigenvalue problem unnecessary Finally the effectiveness of the matrix perturbation based approach for sensitivity calculation in a microgrid is verified by a numerical example on a lowvoltage microgrid prototype

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