multi-objective whale optimisation algorithm

Optimal allocation of distributed generation units and DFACTS affects the efficiency of these devices; for this reason, in this article, the simultaneous placement of distributed generation and Distributed-STATic-COMpensator (DSTATCOM) are done in the distribution system. The load model is considered as a combination of various customers’ daily load patterns and sensitive to voltage-frequency. The micro turbine, wind turbine, photovoltaic and fuel cell are considered as DG units. The objective functions of the problem consist of the technical index (the voltage stability and the active and reactive power loss) and environmental index (the amount of pollutant DG unit’s gas emissions). The whale optimisation algorithm (WOA) is used to multi-objective optimize the location and capacity of devices. After applying the multi-objective WOA, the analytical hierarchy process is utilized to select one of the Pareto optimal solutions as the best location and size of devices. The proposed algorithm is implemented on the 69-bus distribution system and actual 101-bus distribution system in Khoy–Iran. The results indicate the significant effect of load models and various DG units on the efficiency of the distribution system in the presence of DSTATCOM. Moreover, the indices of the distribution system are improved considerably after applying the proposed method.