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A multi objective approach for placement of multiple DGs in the radial distribution system

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Abstract

Insertion of distributed generation (DG) in existing distribution system has effectively improved its performance and operation. Many different approaches for the planning of distribution system with DG insertion are presented by researchers. In this paper a multi objective approach has been proposed to maximize the mutual benefits of both the distribution system operator and DG owner. The contradictory relationship between reduction in MVA rating of DGs and reduction of power losses of the system is the motivation for this multi-objective approach. The best compromised size of DGs in MVA, their operating power factors and positions are obtained to reduce the system active power loss along with the reduction of DGs size. The 69-bus and 85-bus radial distribution system are considered as test systems. The Pareto-front of non-dominated solutions is obtained by using multi-objective differential evolution (MODE) optimization algorithm. The performance of MODE algorithm is also compared with that of multi-objective particle swarm optimization (MOPSO) algorithm. The different system operating indices such as active power loss, reactive power loss and voltage deviation are evaluated to show the effect of the best compromised solution of DGs placement in distribution system.

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Abbreviations

\(APL\) :

Active power loss

\(nb\) :

Total number of branch/lines of the system

\(\left|{I}_{b}\right|\) :

Magnitude of the current in \(b\text{th}\) branch

\({R}_{b}\) :

Resistance of the \(b\text{th}\)line

\(nDG\) :

The total number of DGs

\({P}_{m}^{DG}\) :

The real power output of the \(m\text{th}\) DG

\({Q}_{m}^{DG}\) :

The reactive power output of the \(m\text{th}\) DG

\({pf}_{m}^{DG}\) :

The power factor of the \(m\text{th}\) DG

\({TDG}_{insert}\) :

Total DG insertion in MVA

\({APL}_{No DG}\) :

Active power loss without DG.

\({RPL}_{No DG}\) :

Reactive power loss without DG

\({APL}_{ DG}\) :

Active power loss with insertion of DGs.

\({RPL}_{ DG}\) :

Reactive power loss with insertion of DGs

\({V}_{m}^{spf}\) :

Specified \(m\text{th}\) bus voltage in p.u. (1 p.u.)

\({V}_{m}^{actl}\) :

Actual \(m\text{th}\) bus voltage in p.u. with DGs

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  1. Indian Institute of Technology Delhi, New Delhi, India

    Snigdha R. Behera & B. K. Panigrahi

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  1. Snigdha R. Behera
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  2. B. K. Panigrahi
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Correspondence to Snigdha R. Behera.

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Behera, S.R., Panigrahi, B.K. A multi objective approach for placement of multiple DGs in the radial distribution system. Int. J. Mach. Learn. & Cyber. 10, 2027–2041 (2019). https://doi.org/10.1007/s13042-018-0851-4

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