AN ITERATIVE LINEAR PROGRAMMING-BASED MODEL USING FICTITIOUS NODAL DEMAND FOR SOLVING THE OPTIMAL POWER FLOW PROBLEM IN POWER DISTRIBUTION SYSTEMS

Abstract

This paper proposes an iterative method based on a linear programming model to efficiently solve the problem of optimal power flow in power distribution systems integrated with distributed energy sources. The proposed method is computationally efficient and highly suitable for real-time applications. The iteration approach is developed using the fictitious nodal demand model with the aim of dealing with the nonlinearity of the power loss formula and eliminating the dependence of solutions on the slack bus selection. The constraints of quadratic branch flow limits are linearized using the regular polygon with 12 sides. The validation of the proposed method is implemented on the IEEE 33-node distribution grid using the CPLEX commercial optimization solver under the GAMS programming language. Calculation results regarding the active and reactive powers of distributed generation and nodal voltages clearly show that the proposed model has a tiny error compared with the general nonlinear optimal power flow model solved using MATPOWER software.