Multi-objective model for simultaneous distribution networks reconfiguration and allocation of D-STATCOM under uncertainties of RESs

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Abstract
This paper proposes an approach for simultaneous placement of distribution static compensator (D-STATCOM) and renewable energy sources (RESs) and distribution system reconfiguration (DSR) based on stochastic multi-objective modeling. Associated uncertainties of RESs in generating power, market price errors and load forecasting are modeled in this problem. The problem is optimized by non-dominated sorting genetic algorithms-II (NSGA-II) and then the best compromise solution is specified with fuzzy set theory. The aim of optimization is to minimize installation and operation costs of distributed generation (DG) units, cost of D-STATCOM installation, the cost of procured energy from the transmission grid, costs of reactive and active power losses, line upgrade cost and DSR expense. A risk-based model of energy not supplied (ENS) as a reliability index is considered in the objective function to improve the reliability of the system. The proposed approach is validated on the IEEE 33-bus test grid.

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