The minimum singular value of the Jacobian matrix of the load flow equ
ation may have been preferred as an indicator of voltage collapse when
the static voltage stability of power systems is studied. In this pap
er we propose a highly efficient algorithm to calculate the smallest s
ingular value of a Jacobian matrix of the load flow equation by employ
ing the non-iterative characteristic of an Incremental Condition Estim
ation (ICE) method and the sparsity characteristic of large scale powe
r networks. Both theoretical basis and computation cost of the algorit
hm are also detailed in the context. Finally, a practical application
example is also given for demonstration.