Distribution System Optimization Based on a Linear Power-Flow Formulation

In this paper, a framework for distribution system optimization is proposed. In this framework, different control variables, such as switchable capacitors, voltage regulators, and system configuration can be optimally determined to satisfy objectives, such as loss minimization and voltage profile improvement. Linearized power-flow equations are used in the optimization, and the problem is formulated as mixed-integer quadratic programming (MIQP), which has a guaranteed optimal solution. Existing efficient solution algorithms developed for MIQP problems facilitate the application of the proposed framework. System operational constraints, such as feeder ampacities, voltage drops, radiality, and the number of switching actions are considered in the model. The performance of the proposed framework is demonstrated using a variety of distribution test systems.