Adaptive Barrier Filter Line-search ipm for Optimal Power Flow with facts devices
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(8)
where
,
denotes the diagonal matrix with
the elements of the vector
on the diagonal. Applying the Newton method to nonlinear algebraic equation (8), the Newton
direction from current iterate
can be obtained by solving
the following linear system
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(8)
, 
denotes the diagonal matrix with 
on the diagonal. Applying the Newton method to nonlinear algebraic equation (8), the Newton 
can be obtained by solving