Solution of Economic and Environmental Power Dispatch Problem of an Electrical Power System using BFGS-AL Algorithm

Talbi, El Hachmi; Abaali, Lhoussine; Skouri, Rachid; Moudden, Mustapha El

doi:10.1016/j.procs.2020.03.144

Cited by 17 publications

(3 citation statements)

References 10 publications

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“…Fuzzy decision‐making technique is used in our work to get the best compromise solution 31,32

μ_{ξ}^{m} = \{\begin{matrix} 1, & f_{ξ}^{m} \leq f^{m, min} \\ \frac{f^{m, max} ‐ f_{ξ}^{m}}{f^{m, max} ‐ f^{m, min}}, & f^{m, min} < f_{ξ}^{m} \leq f^{m, max} \\ 0, & f_{ξ}^{m} \geq f^{m, max} \end{matrix})

where

f_{ξ}^{m}

is the m th objective function value of the

ξ^{th}

optimal solution, N obj is the number of objective functions, and f m ,max and f m ,min are maximum and minimum of the m th objective function.…”

Section: The Proposed Solving Methods For Deedmentioning

confidence: 99%

An enhanced multi‐objective differential evolution algorithm for dynamic environmental economic dispatch of power system with wind power

Bai

Xia

2020

Energy Science & Engineering

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Dynamic environmental economic dispatch (DEED) with wind power is an important extension of the classical environmental economic dispatch (EED) problem, which could provide reasonable scheduling scheme to minimize the pollution emission and economic cost at the same time. In this study, the combined dynamic scheduling of thermal power and wind power is carried out with pollutant emission and economic cost as optimization objectives; meanwhile, the valve‐point effect, power balance, ramp rate, and other constraints are taken into consideration. In order to solve the DEED problem, an enhanced multi‐objective differential evolution algorithm (EMODE) is proposed, which adopts the superiority of feasible solution (SF) and nondominated sorting (NDS) two selection strategies to improve the optimization effect. The suggested algorithm combines the total constraint violation and penalty function to deal with various constraints, due to different constraint techniques could be effective during different stages of searching process, and this method could ensure that each individual in the Pareto front (PF) is feasible. The results show that the proposed algorithm can deal with DEED problem with wind power effectively, and provide better dynamic scheduling scheme for power system.

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“…Fuzzy decision‐making technique is used in our work to get the best compromise solution 31,32

μ_{ξ}^{m} = \{\begin{matrix} 1, & f_{ξ}^{m} \leq f^{m, min} \\ \frac{f^{m, max} ‐ f_{ξ}^{m}}{f^{m, max} ‐ f^{m, min}}, & f^{m, min} < f_{ξ}^{m} \leq f^{m, max} \\ 0, & f_{ξ}^{m} \geq f^{m, max} \end{matrix})

where

f_{ξ}^{m}

is the m th objective function value of the

ξ^{th}

optimal solution, N obj is the number of objective functions, and f m ,max and f m ,min are maximum and minimum of the m th objective function.…”

Section: The Proposed Solving Methods For Deedmentioning

confidence: 99%

An enhanced multi‐objective differential evolution algorithm for dynamic environmental economic dispatch of power system with wind power

Bai

Xia

2020

Energy Science & Engineering

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“…The optimal power flow (OPF) was conceived as an extension of the conventional economic and emission dispatch [13][14]. The OPF problem is large-scale non-convex optimization problem, which may also have uncertain variables.…”

Section: Optimal Power Flowmentioning

confidence: 99%

Cuckoo search algorithm to solve the problem of economic emission dispatch with the incorporation of facts devices under the valve-point loading effect

Larouci

Abdelkader²,

Boudjella

et al. 2021

Facta Univ Electron Energ

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The essential objective of optimal power flow is to find a stable operating point which minimizes the cost of the production generators and its losses, and keeps the power system acceptable in terms of limits on the active and reactive powers of the generators. In this paper, we propose the nature-inspired Cuckoo search algorithm (CSA) to solve economic/emission dispatch problems with the incorporation of FACTS devices under the valve-point loading effect (VPE). The proposed method is applied on different test systems cases to minimize the fuel cost and total emissions and to see the influence of the integration of FACTS devices. The obtained results confirm the efficiency and the robustness of the Cuckoo search algorithm compared to other optimization techniques published recently in the literature. In addition, the simulation results show the advantages of the proposed algorithm for optimizing the production fuel cost, total emissions and total losses in all transmission lines.

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“…Simulation results of BLPSO overcome local trap and improve the convergence of the solution. In [34], the authors presented a deterministic optimization based on the augmented Lagrangian to solve CEEDP. In [35], the authors reformulated centralized CEEDP into a decentralized model.…”

Section: Introductionmentioning

confidence: 99%

Constrained Multiobjective Equilibrium Optimizer Algorithm for Solving Combined Economic Emission Dispatch Problem

El-Shorbagy

Mousa

2021

Complexity

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This research implements a recent evolutionary-based algorithm of equilibrium optimizer to resolve the constrained combined economic emission dispatch problem. This problem has two objective functions that represent the minimizing of generation costs and minimizing the emission of environmental pollution caused by generators. The proposed algorithm integrates the dominant criteria for multiobjective functions that allow the decision-maker to detect all the Pareto boundaries of constrained combined economic emission dispatch problem. In order to save the effort for the decision-maker to select the best compromise alternative, a cluster study was carried out to minimize the size of the Pareto boundary to an acceptable size, representing all the characteristics of the main Pareto frontier. On the other hand, in order to deal with the infringement of constraints, a repair algorithm was used to preserve the viability of the particles. The proposed algorithm is applied to solve the standard 30-bus IEEE system with 6 generators to validate its robustness and efficiency to produce a well-distributed Pareto frontier for constrained combined economic emission dispatch problem. Compared with other studies, good results in solving constrained combined economic emission dispatch problem are obtained and a reasonable reduced Pareto set is found.

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Solution of Economic and Environmental Power Dispatch Problem of an Electrical Power System using BFGS-AL Algorithm

Cited by 17 publications

References 10 publications

An enhanced multi‐objective differential evolution algorithm for dynamic environmental economic dispatch of power system with wind power

An enhanced multi‐objective differential evolution algorithm for dynamic environmental economic dispatch of power system with wind power

Cuckoo search algorithm to solve the problem of economic emission dispatch with the incorporation of facts devices under the valve-point loading effect

Constrained Multiobjective Equilibrium Optimizer Algorithm for Solving Combined Economic Emission Dispatch Problem

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