M. Olofsson et al., LINEAR-PROGRAMMING BASED OPTIMAL POWER-FLOW USING 2ND-ORDER SENSITIVITIES, IEEE transactions on power systems, 10(3), 1995, pp. 1691-1697
For the electric railway traction in Sweden, a system of 130 kV transm
ission lines connected parallel to the contact lines is being build. W
ithin this system, the generation costs differs only slightly between
different nodes with power injections. In order to optimize the power
flow in the system, an extended optimal power flow algorithm based on
successive linear programming, has been developed. To improve the conv
ergence, a method based on a second order sensitivity approximation of
the active power losses of the total system is applied. Numerical exa
mples are given to show the enhanced convergence properties.