Analytical approach for simultaneous optimal sizing and placement of multiple Distributed Generators in primary distribution networks

This paper presents a novel analytical expression for finding optimum sizes of multiple Distributed Generators (DGs) simultaneously in order to minimize the power loss reduction ratio. The optimal power factor based on active and reactive power demands by the load is considered for sizing multiple DGs. The generalized analytical expressions for finding optimum sizes of two DGs simultaneously are presented considering mutual coupling factor to reduce the computation time. A brief description of both Exhaustive Load Flow (ELF) method and Improved Analytical (IA) methods are also presented. Systems with varying size and complexity were used for testing and validating the proposed analytical expressions for simultaneous optimal sizing and placement of DGs for active power loss reduction. The test results of IEEE 14 and 30 bus systems using the proposed methodology were compared with ELF and IA methods. Results proved the effectiveness of the proposed method in comparison to the ELF and IA methods.