A. Berizzi et al., COMPLETE SYMBOLIC FACTORIZATION FOR THE SECURITY ANALYSIS OF POWER-SYSTEMS, European transactions on electrical power, 8(3), 1998, pp. 167-173
In modern power systems, it is more and more important to assess in a
very short time the security of the system, checking the ability of th
e network to sustain possible contingencies. The paper presents a symb
olic approach to an efficient implementation of the factorization, app
lied to the well-known Cholesky factorization, that turns out to be us
eful especially when there is the need to factorize several matrices w
ith the same sparsity structure, as in case of security studies.