A comprehensive MILP model for the expansion planning of power distribution systems – Part I: Problem formulation

Abstract

This first part of the paper presents a comprehensive mixed integer linear programming model which can be applied to the expansion planning of power distribution systems. The model describes the problem of allocation of voltage regulators and capacitors including reconductoring. In addition, it determines the optimal position of the taps of voltage regulators and transformers. Due to its flexibility, the model provides a solution that simultaneously coordinates the operation of distributed generation sources with all volt/var control devices. We propose a linearized model to obtain the steady-state operating point of distribution systems, whereas the optimization problem is represented as a mixed integer linear programming model. As a further advantage, this approach guarantees the convergence to optimality using classical optimization techniques. Based on typical examples, the second part of the paper demonstrates the validity and efficiency of the model described here.