A New Planning Model for Optimal Feeder Routing of Radial Distribution System Using Mixed Integer Linear Programming Technique

Several studies have been focused on developing the distribution system planning techniques, varying from classical to nontraditional soft computing techniques, to solve the distribution system planning problem. This paper presents a new planning model for accurate mathematical planning to get optimum feeder routing of radial distribution systems using a mixed integer linear programming (MILP) technique. The model treats the loads at different load buses as injected power. The model also considers the ohmic power loss of various branches as a variable for optimization. All cost items (capital cost, energy loss cost, cost of bays, and line interruption cost) are considered. Also, bus voltage and line capacity limits are considered in addition to the different line sizes. Model verification has been made using two test examples. Lingo software is used to verify the proposed planning model. The developed model can be extended to deal with the general distribution planning problem in which both feeding substations and feeders can be optimized. In addition, it is very important for getting the optimal feeder routing of the system.