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@article{Freitas2008GramianBasedRM, title={Gramian-Based Reduction Method Applied to Large Sparse Power System Descriptor Models}, author={F. Gomes de Freitas and Joost Rommes and Nelson Martins}, journal={2009 IEEE Power & Energy Society General Meeting}, year={2008}, pages={1-1} }

- Published 2008 in IEEE Transactions on Power Systems

This paper presents an efficient linear system reduction method that computes approximations to the controllability and observability gramians of large sparse power system descriptor models. The method exploits the fact that a Lyapunov equation solution can be decomposed into low-rank Choleski factors, which are determined by the alternating direction implicit (ADI) method. Advantages of the method are that it operates on the sparse descriptor matrices and does not require the computation ofâ€¦Â CONTINUE READING

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