Optimal Pole-Swapping in Bipolar DC Networks

Optimal Pole-Swapping in Bipolar DC Networks with Multiple CPLs Using an MIQP Model

These files are part of the paper titled "Optimal Pole-Swapping in Bipolar DC Networks with Multiple CPLs Using an MIQP Model". The main file is for the 21-bus grid called BIPOLAR_CVX_CONIC_21_LINEALxy.m (or the 85-bus grid called BIPOLAR_CVX_CONIC_85_LINEALxy.m). In each file is possible to obtain the optimal configuration for pole-swapping in bipolar DC network and its voltages.

This is the abstract:

This express brief presents a mixed-integer quadratic programming (MIQP) model to address the problem of optimal pole-swapping in asymmetric bipolar DC networks. The exact mixed-integer nonlinear programming model is convexified by using two stages. Using Taylor's series expansion, the first stage corresponds to linearizing the hyperbolic relationship between voltage and powers in the constant power loads. The second stage applies the concept of the big-M number in order to obtain a linear equivalent for the product between binary and continuous variables. The proposed MIQP model is solved using the MATLAB programming environment, with the convex disciplined tool known as CVX and the Gurobi solver. Numerical results in the 21- and 85-bus grids demonstrate the effectiveness of the proposed MIQP formulation when compared to combinatorial optimization methods. The MIQP model ensures reductions of about 3.7609 and 49.7928kW in the total grid power losses for the 21- and 85-bus grids, respectively, when the neutral wire is assumed to be floating in all the nodes of the network, except for the substation bus.