Patent ID: 8588993

Claim:
A computer program product for determining optimal settings for controllable taps of voltage regulating transformers in a distribution network, comprising: a non-transitory computer readable medium having computer readable code embedded therein, the non-transitory computer readable medium comprising: program instructions that receive a network model and solve for unbalanced load flow to determine a set of state variables x using initial control variables u; program instructions that calculate an overall objective value of the network under initial control variables u or a trial solution for u; program instructions that construct a sequence of quadratic programs (QP) based on first order approximation to generate trial solutions and performs full non-linear unbalanced load flow on the trial solution to determine the actual improvement in objective function before accepting the trial solution; program instructions that discretize the non-integer QP solution and perform systematic adjustment to identify a trial solution that produces performance improvement in non-linear unbalanced load flow simulation; and program instructions that calculate jacobian matrix J 1 -J 9 according to the equations, J 1 = ∂ g ∂ x ; J 2 = ∂ g ∂ u ; J 3 = - ( ∂ g ∂ x ) - 1 ⁢ ∂ g ∂ u ; J 4 = ∂ v ∂ u + ∂ v ∂ x · J 3 ; J 5 = ∂ i ∂ u + ∂ i ∂ x · J 3 ; J 6 = ∂ v K d ∂ u + ∂ v K d ∂ x · J 3 J 7 = ∂ v K q ∂ u + ∂ v K q ∂ x · J 3 ; J 8 = ∂ i K d ∂ u + ∂ i K d ∂ x · J 3 ; J 9 = ∂ i K q ∂ u + ∂ i K q ∂ x · J 3 .