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Assessment of Optimal Size and Location of DG/CB in Distribution Systems using Coulomb–Franklin’s Algorithm

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Abstract

In this paper, an efficient Coulomb–Franklin’s algorithm (CFA) has been applied for analyzing the best-suited location and the size of the distributed generator (DG) and capacitor bank (CB) units in the radial distribution system (RDS). CFA is a novel metaheuristic approach based on the mathematical model of Franklin and Coulomb's laws. To minimize real power loss, CFA is applied and tested on four standard RDSs, which are IEEE 15, IEEE 33, IEEE 85, and IEEE 118 bus RDS. Through simulation, the optimal size and location of DG and CB units are determined which shows reduction in real power loss and improvement of the voltage profile in all the cases. The comparison of results with other methods shows the efficacy of CFA over the others.

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Abbreviations

IVM:

Index vector method

\({R}_{i, i+1}\) :

Resistance between bus i and i + 1

\({X}_{i, i+1}\) :

Reactance between bus i and i + 1

\(m\) :

Total number of bus

\({P}_{i(\text{DG})}\) :

Real power output at bus i

\({Q}_{i(\text{Cap})}\) :

Reactive power output at bus i

\({P}_{i(\text{DG})}^\text{min}\) :

DG minimum capacity

\({P}_{i(\text{DG})}^\text{max}\) :

DG maximum capacity

\({P}_{L,i}\) :

Real power demand at bus i

\({Q}_{L,i}\) :

Reactive power demand at bus i

\({P}_{i}\) :

Real power flow between bus i and i + 1

PLI:

Power loss index

LSF:

Loss sensitive factor

\({Q}_\text{Tloss}\) :

Total reactive power loss

\({P}_{0}\) :

Slack's bus real power

\({Q}_{0}\) :

Slack’s bus reactive power

\({V}_{i}\) :

Voltage of bus i

\({Q}_{i(\text{Cap})}^\text{min}:\) :

Reactive power minimum capacity

\({Q}_{i(\text{Cap})}^\text{max}\) :

Reactive power maximum capacity

\({P}_{\text{loss}(i,i+1)}\) :

Real power loss between bus i and i + 1

\({Q}_{\text{loss}(i,i+1)}:\) :

Reactive power loss between bus i and i + 1

\({Q}_{i}\) :

Reactive power flow between bus i and i + 1

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Acknowledgements

The authors are sincerely acknowledging the financial support of \(AICTE-RPS\) project \(File No. 8-228/RIFD/RPS/POLICY-1/2018-19\) dated 20 March 2020 and MITS, Gwalior (India), for providing necessary support to carrying out this work.

Funding

This funding was provided by the all india council for technical education (8-228/RIFD/RPS/POLICY-1/2018-19).

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Authors and Affiliations

  1. Department of Electrical Engineering, Madhav Institute of Technology and Science, Gwalior, India

    Vimal Tiwari & Manjaree Pandit

  2. Department of Electrical Engineering, Birsa Institute of Technology, Sindri, Dhanbad, India

    Hari Mohan Dubey

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Tiwari, V., Dubey, H.M. & Pandit, M. Assessment of Optimal Size and Location of DG/CB in Distribution Systems using Coulomb–Franklin’s Algorithm. J. Inst. Eng. India Ser. B 103, 1885–1908 (2022). https://doi.org/10.1007/s40031-022-00811-w

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