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Planning of unbalanced radial distribution systems using differential evolution algorithm

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Abstract

This paper presents a planning approach for unbalanced radial distribution systems using differential evolution algorithm (DE) so as to determine the optimal phase balancing and conductor sizes. The objective functions used in the planning are minimization of: (1) total complex power unbalance, (2) total power loss, (3) average voltage drop, (4) voltage unbalance factor, and (5) total neutral current. The optimization is done under the constraints of minimum and maximum voltage limits for each bus voltage and thermal limit of each line. A three phase forward–backward sweep load flow algorithm is developed and used for the determination of these objective functions. The effectiveness of the proposed planning algorithm is corroborated on 19-bus and IEEE 25-bus unbalanced radial distribution systems. The results show that significant improvements in power loss and voltage drop with simultaneous optimization for phase balancing and conductor sizes. The performance of DE is found to be better and consistent as compared to some other meta-heuristic algorithms studied here.

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Abbreviations

\(\bar{I}_n^a \) :

Branch current for nth branch, phase a (in phasor form).

I \({\bar{L}}_k^a \) :

Load current for kth bus, phase a (in phasor form).

NBR :

Total number of branches/lines/feeder segments

NB :

Total number of buses

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Authors and Affiliations

  1. Department of Electrical Engineering, National Institute of Technology Rourkela, Rourkela, India

    Padarbinda Samal & Sanjeeb Mohanty

  2. Department of Electronics and Electrical Engineering, Indian Institute of Technology Guwahati, Guwahati, India

    Sanjib Ganguly

Authors
  1. Padarbinda Samal
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  2. Sanjib Ganguly
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  3. Sanjeeb Mohanty
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Correspondence to Sanjib Ganguly.

Appendix

Appendix

Table 9 Individual load demand of each bus for base case and that obtained with Case B multi-objective optimization for 19-bus system (SB=sending end bus, RB=receiving end bus)
Full size table
Table 10 Individual load demand of each bus for base case and that obtained with Case B multi-objective optimization for 25-bus system (SB=sending end bus, RB=receiving end bus)
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Table 11 Different types of conductor used in the 19-bus and IEEE 25-bus systems (Impedances are in Kron’s reduction form)
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Samal, P., Ganguly, S. & Mohanty, S. Planning of unbalanced radial distribution systems using differential evolution algorithm. Energy Syst 8, 389–410 (2017). https://doi.org/10.1007/s12667-016-0202-z

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