Distributed Generation (DG) is modular power generating technology. DG has beneficial impact on tail end voltages, line losses and operating cost. The sizing and location of DG in distribution system is a vital undertaking. In this paper Taguchi Desirability Function Analysis (TDFA) is presented. The remarkable highlight of TDFA is the skillful handling of simultaneous optimization of nearly thousand objectives and its ability to generate multiple optimal solutions. It facilitates the effortless addition of each objective. TDFA is used for finding the optimal size of single as well as multiple DG. Size estimation is carried out for multiple objectives of minimizing the line losses, improving the voltage profile and improving voltage stability index (VSI). The objectives may be minimized, maximized or assigned target values simultaneously. In the scope of this paper more than nine objectives have been optimized simultaneously. TDFA has been implemented to determine optimal size of DG for different load conditions. The proposed approach is tested and verified on IEEE 33-bus and IEEE 85-bus radial distribution system (RDS). Keywords Distributed generation • Radial distribution system • VSI • TDFA List of symbols DG Distributed generation RDS Radial distribution system F No. of input factors l No. of levels FFD Full factorial design df Degree of freedom Y Response R No. of responses x 1, x 2 Input factors ß Regression coefficients ɛ Error term 2FI Two-factor interaction R 2 Coefficient of determination d Desirability function ID Individual desirability CD Composite desirability L i Minimum acceptable value of response Ui Maximum acceptable value of response

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