A Mixed-Integer Quadratically Constrained Programming Model for Network Reconfiguration in Power Distribution Systems with Distributed Generation and Shunt Capacitors ☆

This paper proposes a formulation based on mixed-integer quadratically constrained programming (MIQCP) for the problem of optimally determining network topology aiming at minimum power loss in electrical distribution grids considering distributed generation and shunt capacitors. The proposed optimization model is derived from the originally nonlinear optimization model by leveraging the modified distribution power flow method that is linear. This optimization model can be effectively solved by standard commercial solvers such as CPLEX. Then, the MIQCP-based formulation is verified on an IEEE 33-bus distribution network and a 190-bus real distribution network in Luc Ngan district, Bac Giang province, Vietnam, in 2021. The effects of the load power level on optimal solutions are analyzed in detail. Furthermore, results of power flow analysis achieved from the modified distribution power flow approach are compared to those from solving nonlinear equations of power flow using the power summation method that gives exact solutions.