Design of fractional swarming strategy for solution of optimal reactive power dispatch

Yasir, Muhammad; Khan, R. D.; Ullah, Farman; Rehman, Ata Ur; Aslam, Muhammad Saeed; Raja, Muhammad Asif Zahoor

doi:10.1007/s00521-019-04589-9

Cited by 45 publications

(32 citation statements)

References 73 publications

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“…The system

is calculated by means of the following expression [ 6 , 15 , 23 ].

where

represents the no.…”

Section: Problem Formulationmentioning

confidence: 99%

“…Voltage Profile Index (VPI) can be enhanced by limiting the load bus deviations from 1.0 per unit system. Mathematically, the fitness function of VPI is stated as [ 6 , 23 ].

where

represents the no.…”

Section: Problem Formulationmentioning

confidence: 99%

“…In this research proposal we have nominated the sub problem of OPF known as ORPD for addressing the objective function of electrical system such as

minimization, voltage profile index (VPI) improvement and operating cost minimization [ 3 , 4 , 5 , 6 ]. The ultimate goal of ORPD is to reduce the

and

losses and improve the voltage profile index (VPI) while keeping the decision variables of electrical system such as shunt capacitor banks

, generator voltages

, and transformer taps ( T ) setting within the limits in standard power systems.…”

Section: Introductionmentioning

confidence: 99%

“…is not possible. The problems of RPD have widely been solved using stochastic methods [ 6 ]. To eliminate the RPD problems, various optimization algorithms have been implemented over a period of time to achieve the optimal results.…”

Section: Introductionmentioning

confidence: 99%

“…To eliminate the RPD problems, various optimization algorithms have been implemented over a period of time to achieve the optimal results. Some of the known stochastic methods implemented for solution of RPD problem includes the linear programming (LP) [ 7 ], interior point method (IPM) [ 8 ], quadratic programming (QP) [ 9 ], genetic algorithm (GA) [ 10 ], particle swarm optimization (PSO) [ 11 , 12 ], multi-objective optimization particle swarm optimization (MOPSO) algorithm [ 13 ], fractional Order PSO (FO-PSO) [ 6 ], harmony search algorithm (HSA) [ 14 ], gaussian bare-bones water cycle algorithm (NGBWCA) [ 15 ], tabu search (TS) [ 16 ], comprehensive learning particle swarm optimization [ 17 ], teaching learning based optimization (TLBO) [ 18 ], adaptive GA (AGA) [ 19 ], seeker optimization algorithm (SOA) [ 20 ], jaya algorithm [ 21 ], differential evolution (DE) [ 2 , 3 , 5 , 22 , 23 , 24 , 25 ], Artificial Bee Colony Algorithm [ 26 ], Hybrid Artificial Physics PSO [ 27 ], improved antlion optimization algorithm [ 28 ], Chaotic Bat Algorithm [ 29 ], classification-based Multi-objective evolutionary algorithm [ 30 ], evolution strategies (ES) [ 31 ], evolutionary programming (EP) [ 32 ], firefly algorithm (FA) [ 33 ], gravitation search optimization algorithm (GSA) [ 34 , 35 ], bacteria foraging optimization (BFO) [ 36 ], bio-geography-based optimization algorithm (BBO) [ 37 ] and grey wolf based optimizer algorithm (GWO) [ 38 ]. In 2017, another advanced optimizer has also been applied to the problems RPD known as gradient-based WCA (GWCA) [ 39 , 40 ] and results demonstrate the relevance and pr...…”

Section: Introductionmentioning

confidence: 99%

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A New Fractional Particle Swarm Optimization with Entropy Diversity Based Velocity for Reactive Power Planning

Waleed

Yasir

Raja

et al. 2020

Entropy

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Optimal Reactive Power Dispatch (ORPD) is the vital concern of network operators in the planning and management of electrical systems to reduce the real and reactive losses of the transmission and distribution system in order to augment the overall efficiency of the electrical network. The principle objective of the ORPD problem is to explore the best setting of decision variables such as rating of the shunt capacitors, output voltage of the generators and tap setting of the transformers in order to diminish the line loss, and improve the voltage profile index (VPI) and operating cost minimization of standard electrical systems while keeping the variables within the allowable limits. This research study demonstrates a compelling transformative approach for resolving ORPD problems faced by the operators through exploiting the strength of the meta-heuristic optimization model based on a new fractional swarming strategy, namely fractional order (FO)–particle swarm optimization (PSO), with consideration of the entropy metric in the velocity update mechanism. To perceive ORPD for standard 30 and 57-bus networks, the complex nonlinear objective functions, including minimization of the system, VPI improvement and operating cost minimization, are constructed with emphasis on efficacy enhancement of the overall electrical system. Assessment of the results show that the proposed FO-PSO with entropy metric performs better than the other state of the art algorithms by means of improvement in VPI, operating cost and line loss minimization. The statistical outcomes in terms of quantile–quantile illustrations, probability plots, cumulative distribution function, box plots, histograms and minimum fitness evaluation in a set of autonomous trials validate the capability of the proposed optimization scheme and exhibit sufficiency and also vigor in resolving ORPD problems.

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“…The system

is calculated by means of the following expression [ 6 , 15 , 23 ].

where

represents the no.…”

Section: Problem Formulationmentioning

confidence: 99%

“…Voltage Profile Index (VPI) can be enhanced by limiting the load bus deviations from 1.0 per unit system. Mathematically, the fitness function of VPI is stated as [ 6 , 23 ].

where

represents the no.…”

Section: Problem Formulationmentioning

confidence: 99%

“…In this research proposal we have nominated the sub problem of OPF known as ORPD for addressing the objective function of electrical system such as

minimization, voltage profile index (VPI) improvement and operating cost minimization [ 3 , 4 , 5 , 6 ]. The ultimate goal of ORPD is to reduce the

and

losses and improve the voltage profile index (VPI) while keeping the decision variables of electrical system such as shunt capacitor banks

, generator voltages

, and transformer taps ( T ) setting within the limits in standard power systems.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

A New Fractional Particle Swarm Optimization with Entropy Diversity Based Velocity for Reactive Power Planning

Waleed

Yasir

Raja

et al. 2020

Entropy

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Enhanced fractional adaptive processing paradigm for power signal estimation

Chaudhary

Khan

Raja

et al. 2022

Math Methods in App Sciences

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Fractional calculus tools have been exploited to effectively model variety of engineering, physics and applied sciences problems. The concept of fractional derivative has been incorporated in the optimization process of least mean square (LMS) iterative adaptive method. This study exploits the recently introduced enhanced fractional derivative based LMS (EFDLMS) for parameter estimation of power signal formed by the combination of different sinusoids. The EFDLMS addresses the issue of fractional extreme points and provides faster convergence speed. The performance of EFDLMS is evaluated in detail by taking different levels of noise in the composite sinusoidal signal as well as considering various fractional orders in the EFDLMS. Simulation results reveal that the EDFLMS is faster in convergence speed than the conventional LMS (i.e., EFDLMS for unity fractional order).

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A Comparative Study of Metaheuristics Algorithms Applied for Optimal Reactive Power Dispatch Problem Considering Load Uncertainty

Agouzoul,

Oukennou,

Elmariami

et al. 2024

Advances in Science, Technology &Amp; Innovation

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Design of fractional swarming strategy for solution of optimal reactive power dispatch

Cited by 45 publications

References 73 publications

A New Fractional Particle Swarm Optimization with Entropy Diversity Based Velocity for Reactive Power Planning

A New Fractional Particle Swarm Optimization with Entropy Diversity Based Velocity for Reactive Power Planning

Enhanced fractional adaptive processing paradigm for power signal estimation

A Comparative Study of Metaheuristics Algorithms Applied for Optimal Reactive Power Dispatch Problem Considering Load Uncertainty

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