Linear programming based optimal power flow using second order sensitivities

For electric railway traction in Sweden, a system of 130 kV transmission lines connected parallel to the contact lines is being built. Within this system, the generation costs differ 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 convergence, a method based on a second order sensitivity approximation of the active power losses of the total system is applied. Numerical examples are given to show the enhanced convergence properties.<
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