Availability and uncertainty-aware optimal placement of capacitors and DSTATCOM in distribution network using improved exponential distribution optimizer

In this paper, the simultaneous optimization of capacitors and DSTATCOM in the radial distribution system is performed to minimize the cost of network active losses along with the cost of installation and investment in reactive power, considering the reliability of compensators and incorporating the network load uncertainty. The decision variables include the installation location and the capacity of compensators, which are defined by a novel meta-heuristic algorithm termed the improved exponential distribution optimizer (IEDO). The conventional exponential distribution optimizer (EDO) is inspired by exponential distribution theory, which uses the spiral motion strategy within the EDO to improve optimization performance and prevent it from getting trapped in local optima. Simulation scenarios are implemented in three cases: (I) capacitor optimization, (II) DSTATCOM optimization, and (III) simultaneous optimization of capacitor and DSTATCOM in the network without (scenario I) or considering the compensator's reliability and the load uncertainty using the unscented transformation (scenario II). The simulation results of IEDO showed that Case III has the best performance by achieving the lowest cost, the highest percentage of net savings, and the most favorable voltage profile in comparison with other scenarios. The superiority of the IEDO has also been confirmed in contrast to widely recognized optimization methodologies. In addition, the results of Scenario II are clear: the system cost has increased by 8.76%, 8.79%, and 8.72%, and the net savings have decreased by 6.48%, 6.62%, and 6.42%, compared to Scenario I for cases I-III, respectively.