Mixed‐integer second‐order cone programing model for VAR optimisation and network reconfiguration in active distribution networks

This study presents a comprehensive optimisation model that combines reactive power (VAR) optimisation and network reconfiguration to minimise power losses and eliminate voltage violations. In this model, the reactive power of distributed generators (DGs), VAR compensators, the position of tap‐changer and the states of branches are formulated as continuous and discrete decision variables. The original non‐convex three‐phase optimisation model was converted to a mixed‐integer second‐order cone programming model using the second‐order cone relaxation, big‐M method and piecewise linearisation. The results of numerical tests showed that the proposed model can achieve significant additional gains in network loss reduction and voltage violation mitigation. This developed method can be used as a basic analysis tool for active distribution networks operation schedule or planning.