A Sequential Quadratic Programming Model for the Economic–Environmental Dispatch in MT-HVDC

This paper addresses the economic-environmental dispatch problem for thermal plants on a Multi-terminal HVDC power grid. A multi-objective optimization approach is used for modeling the compromise between fuel costs and the greenhouse gas emissions by the thermal plants. The grid topology is also considered by proposing a convex reformulation of the power balance equations through Taylor’s series expansion method. To eliminate the error introduced by this linear approximation a sequential quadratic programming approach is applied by solving the multi-objective problem by a single-objective equivalent via weighting factor approach. A standard 6-node HVDC system is used to validate the proposed convex formulation. All simulations are performed in MATLAB with the quadprog optimization package.