This article has investigated a new multiobjective allocation of optimal sizing and sitting of distributed generation (DG) units and capacitor banks in simultaneous mode to improve reliability and reduce energy losses. The proposed method consists of four objectives, that is, cost of energy not supplied, system average interruption duration index, costs of energy loss and investment. A novel structure differential evolution has been suggested to solve this nonlinear complex problem and its results are compared with related values of genetic algorithm and simple differential evolutionary algorithm. In addition to the novel objective function, the other contribution of this article is proposing a new model for load and energy cost. Three types of DGs, that is, wind turbine, solar cell, and diesel generator have been used in placement process. To verify the comprehensiveness of the proposed function, three scenarios have been introduced: scenario i: first, placement of DGs, then capacitor banks, scenario ii: first, placement of capacitor banks, and then DGs, and scenario iii: simultaneous placement of DGs and capacitor banks. Simulations have been carried out on one part of practical distribution network in Metropolitan Tabriz in North West of Iran. The results of simulations have been discussed and analyzed using the five novel indices. The obtained simulation results using proposed function shows that the simultaneous placement of DGs and capacitor banks results in more reduction of the energy losses and increase improvements of reliability indices as well as voltage profile. © 2013 Wiley Periodicals, Inc. Complexity 19: 40–54, 2014
SUMMARY In this context, a novel structure is proposed for differential evolutionary algorithm (DEA) to compensate reactive power by optimal siting and sizing capacitor (OSSC) in radial distribution systems (RDSs). DEA is among the evolutionary algorithms (EAs) which uses crossover, mutation and selection operators to obtain optimal solution from initial population. In proposed improved DEA (iDEA), two scenarios for mutation operator is defined. Other improvement is self‐adapting crossover rate. Main goal of shunt capacitor in RDS is minimizing annual cost, while in this work, in addition to annual cost, five other parameters are studied and analyzed, which are: total installed capacitor banks and its related cost, power loss and related cost as well as minimum voltage. To verify the ability of proposed technique, iDEA is tested on standard RDSs (i.e. IEEE 10‐bus and 33‐bus) and compared with other well‐developed techniques. Also, to confirm robustness of iDEA to be utilized in practical cases, three load levels are defined and iDEA applied on practical RDS of Meshkin‐shahr City in North West of Iran. Copyright © 2013 John Wiley & Sons, Ltd.
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