Optimal allocation of DGs for non-linear objective function modeling in a three-phase unbalanced distribution system using crow search optimization algorithm

Abstract

The rapid growth of consumers, industrial development and global economic expansion inspired a lot of improvement in reliable power supplies. The integration of distributed generations (DGs) in unbalanced radial distribution systems (RDS) is one of the solutions to handle all above issues. This paper proposes an optimal planning for unbalanced RDS integrated with DGs. The objective function is designed as a non-linear function, which is framed as the combination of active power losses, voltage deviation and load balancing index of RDS. The Crow Search Optimization Algorithm (CSOA) is used for identifying the optimal size, location, power factor for DG and distribution system phase in order to reduce the proposed objective function by satisfying all system constraints. The proposed model is tested on 33-bus unbalanced RDS. There is reduction of annual cost of energy loss (ACEL) due to proper integration of DG. The obtained results prove that the proposed CSOA can effectively solve the non-linear objective function and can help to obtain optimized results for unbalanced RDS.

Subject Classification:

• Primary 93A30
• Secondary 49K15

Keywords:

• Mathematical modeling
• Unbalanced distribution system
• Distributed generation
• Crow Search Optimization (CSO)
• Distribution system performance analysis
• Energy shaving