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Top1. Introduction
Expansion planning of distribution networks looks for the most excellent reinforcement plans when reducing the overall cost that are subjected to numerous reliability and functioning constraints (Xie, et al., 2018; Kumar & Samantaray, 2016). It exists as a complex problem for numerous decades to find out an improved solution. Distribution Expansion Planning (DEP) (Hosseinnezhad, et al., 2018; Kumawat, et al., 2018) is a significant problem in developing countries (Cofini, et al., 2012), where the electricity requirement has been advancing up in current years (Brajula and Prasad, 2018; Chithra and Kumari, 2018). On the other hand, noteworthy efforts in energy management dominion have damped the growing rate of electricity requirement in recent times (Mahdavi, et al., 2018; Humayd & Bhattacharya, 2017). However, the necessitation for a continuous expansion appears unavoidable in the near future. Expansion planning (EP) (Lin & Bie, 2018; Ahmadigorji, et al., 2017) of distribution network comprises of capacity determination, installation of distribution substation units, mounting Distributed Generation (DG) units (Chen, et al., 2015; Najafi, et al., 2018), and substitution of distribution feeders to deal with upcoming increasing load demand. This is known as Multi-Stage DEP (MDEP) issue (Mauro, et al., 2018) (Emmanuel, et al., 2017; Moradijoz, et al., 2018), which can be manipulated as a nonlinear problem concerning several local optimum solutions. Three phase Distribution Static Compensator (DSTATCOM) (Liu, et al., 2018; Yuvaraj, et al., 2017) is exploited for power factor enhancement, load balancing and harmonic removal in three-phase system with the nonlinear and linear load. The performance of DSTATCOM (Taher & Afsari, 2014; Devabalaji & Ravi, 2016) is based on the assortment of control schemes and models. Numerous algorithms are available for obtaining the reference source currents for controlling the DSTATCOM (Jazebi, et al., 2011; Sundarabalan & Selvi, 2014; Singh & Yadav, 2018).
Nowadays, the distribution networks are implemented with novel control equipments like; DGs. Deployment of local DGs by utility customers directs to avoid needless expansion of distribution networks together with more proficient use of the prevailing networks. In addition, DG (Singh & Mishra, 2018) provides several advantages like, raise in reliability levels (Arachchige and Sathsara, 2020). Moreover, exploitation of DGs can have an effect on the network power losses owing to its proximity to the load centers. As a result, optimal sizing of DG (Gupta & Kumar, 2016a; Gupta & Kumar, 2016b) units have to be involved as a part of the MDEP crisis.