An optimal load flow study by the generalized reduced gradient approach

Yu, David C.; Fagan, John; Foote, Bobbie L.; Aly, Adel A.

doi:10.1016/0378-7796(86)90048-9

Cited by 47 publications

(13 citation statements)

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“…More details about GRG technique can be found elsewhere [46][47][48][49][50]. SLP method which uses linear programming as a search technique, was devised and tested on petroleum refinery optimization [51].…”

Section: Constrained Multivariable Search Methodsmentioning

confidence: 99%

A rigorous approach to predict nitrogen-crude oil minimum miscibility pressure of pure and nitrogen mixtures

Fathinasab

Ayatollahi

Hemmati-Sarapardeh

2015

Fluid Phase Equilibria

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Section: Constrained Multivariable Search Methodsmentioning

confidence: 99%

A rigorous approach to predict nitrogen-crude oil minimum miscibility pressure of pure and nitrogen mixtures

Fathinasab

Ayatollahi

Hemmati-Sarapardeh

2015

Fluid Phase Equilibria

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“…The standard BA, CBA-III and CBA-IV algorithms are implemented on the IEEE 14-bus test system for the minimization of the active power loss defined in (6) taking into account the penalty terms defined in (20). Table 2 illustrates the best results yielded by the standard BA, CBA-III, CBA-IV and those yielded by other algorithms reported in the literature including DE [52], MTLA-DDE [116], MGBTLBO [58], SARGA [49], etc.…”

Section: ) Case 1: Minimization Of Active Power Lossmentioning

confidence: 99%

“…For the present case, the minimization of the Total Voltage Deviations (TVD) discussed in (7) is considered as the objective function together with the penalty factors defined in (20).…”

Section: ) Case 2: Minimization Of Total Voltage Deviationmentioning

confidence: 99%

“…Over the last decades, extensive efforts have been undertaken to solve the ORPD problem using many classical optimization techniques including quadratic programming [7]- [10], mixed integer programming [11], interior point method [12]- [14], Newton-based method [15], linear programming [16], [17], non-linear programming [18], dynamic programming [19], gradient-based algorithm [20], decomposition approach [21] etc. Despite their excellent convergence characteristics, these classical optimization techniques fail to find the global solution due to their non-convexity characteristics.…”

Section: Introductionmentioning

confidence: 99%

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Optimal Reactive Power Dispatch Using Chaotic Bat Algorithm

et al. 2020

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In this paper, the chaotic bat algorithm (CBA) is applied to solve the optimal reactive power dispatch (ORPD) problem taking into account small-scale, medium-scale and large-scale power systems. ORPD plays a key role in the power system operation and control. The ORPD problem is formulated as a mixed integer nonlinear programming problem, comprising both continuous and discrete control variables. The most outstanding benefit of the bat algorithm (BA) is its good convergence for optimal solutions. The BA, however, together with other metaheuristics, often gets stuck into local optima and in order to cope with this shortcoming, the use of the CBA is proposed in this paper. The CBA results from introducing the chaotic sequences into the standard BA to enhance its global search ability. The CBA is utilized to find the optimal settings of generator bus voltages, tap setting transformers and shunt reactive power sources. Three objective functions such as minimization of active power loss, total voltage deviations and voltage stability index are considered in this study. The effectiveness of the CBA technique is demonstrated for standard IEEE 14-bus, IEEE 39 New England bus, IEEE 57-bus, IEEE 118-bus and IEEE 300-bus test systems. The results yielded by the CBA are compared with other algorithms available in the literature. Simulation results reveal the effectiveness and robustness of the CBA for solving the ORPD problem. INDEX TERMS Chaotic bat algorithm, optimal reactive power dispatch, chaotic sequences.

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“…In the first stage, many traditional numerical methods called deterministic methods such as gradient search (GS) [3], Newton method (NM) [4], interior point method (IPM) [5][6][7], linear program (LP) [8][9][10], dynamic programming method (DPM) [11], quadratic programming method (QPM) [12,13], and Lagrangian method (LM) [14] have found optimal solutions with acceptable quality, but these methods have met many disadvantages such as highly time consuming manner, high number of iterations, huge number of computation processes, incapability of handling nondifferentiable constraints and objective functions, and easily falling into local optimum solution zone. In this regard, the ones should be retired to make room for new algorithms that have better search ability.…”

Section: Complexitymentioning

confidence: 99%

Optimal Dispatch of Reactive Power Using Modified Stochastic Fractal Search Algorithm

Nguyen

Tran

et al. 2019

Complexity

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This paper applies a proposed modified stochastic fractal search algorithm (MSFS) for dealing with all constraints of optimal reactive power dispatch (ORPD) and finding optimal solutions for three different cases including power loss optimization, voltage deviation optimization, and L-index optimization. The proposed MSFS method is newly constructed in the paper by modifying three new solution update mechanisms on standard stochastic fractal search algorithm (SSFS). The first modification is to keep only one formula and abandon one formula in the diffusion process while the second modification and the third modification are used in the first update and the second update. In two updates of SSFS, solutions with low quality are updated with high probability while other solutions with high quality do not get chances to be updated. This manner results in the fact that some promising solutions around the high quality solutions can be missed. In order to tackle this restriction, the second modification of MSFS is to newly update the worst solutions in the first update and the best solutions in the second update. In the third modification, all existing formulas of SSFS in the two updates are abandoned and the same new proposed technique is used for updating such solutions in two updates. Compared to SSFS, the three modifications can bring advantages to MSFS such as using smaller number of produced solutions per iteration, spending shorter execution time, finding better optimal solutions, and owning more stable search ability. Furthermore, the proposed method also sees its effectiveness and robustness over SSFS by testing on IEEE 30-bus system and IEEE 118-bus system with three different single objectives for each system. The proposed method can find less minimum, average, and maximum for all the cases in addition to faster search speed. Besides, the proposed method is also compared to other methods such as PSO-based method group, GA-based method group, DE-based method group, and other recent methods. Result comparisons also indicate that the proposed method can be more efficient than almost all these methods with respect to less minimum and smaller values of control parameters. As a result, evaluation of the performance of the proposed method is that it should be used for seeking solutions of ORPD problem.

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An optimal load flow study by the generalized reduced gradient approach

Cited by 47 publications

References 1 publication

A rigorous approach to predict nitrogen-crude oil minimum miscibility pressure of pure and nitrogen mixtures

A rigorous approach to predict nitrogen-crude oil minimum miscibility pressure of pure and nitrogen mixtures

Optimal Reactive Power Dispatch Using Chaotic Bat Algorithm

Optimal Dispatch of Reactive Power Using Modified Stochastic Fractal Search Algorithm

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