Multi-Objective Optimal Placement and Sizing of DGs by Hybrid Fuzzy TOPSIS and Taguchi Desirability Function Analysis Approach

Abstract

Multi-objective optimal placement and sizing of Distributed Generation in a distribution system is a challenging endeavor. It is seen that in most cases DG placement is required for multiple criteria, however, placement is done using a single criterion. It is imperative to take into account all criteria and their importance for DG placement. Optimal placement of DG is portrayed as a multi-criteria decision-making (MCDM) problem in this paper. An optimal place is found by applying the Fuzzy Technique for Order Preference by Similarity to Ideal Solution (Fuzzy TOPSIS). Voltage stability has been studied in context with DG sizing, however, power stability has not been given due consideration. In this paper, maintaining power stability is one of the objectives for finding optimal DG size. It is observed that the addition of this objective restricts DG size. A robust Taguchi Desirability Function Analysis (TDFA) technique is applied for estimating the optimal size of DG. TDFA can optimize almost a thousand objectives simultaneously. Each objective can be added effortlessly. Moreover, the proposed approach offers a set of near-optimal solutions. IEEE 33-bus radial distribution system and restructured IEEE 118-bus radial distribution system are used for testing.