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Keywords = discrete particle swarm optimization

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14 pages, 3165 KiB  
Article
Optimized Nonlinear PID Control for Maximum Power Point Tracking in PV Systems Using Particle Swarm Optimization
by Maeva Cybelle Zoleko Zambou, Alain Soup Tewa Kammogne, Martin Siewe Siewe, Ahmad Taher Azar, Saim Ahmed and Ibrahim A. Hameed
Math. Comput. Appl. 2024, 29(5), 88; https://doi.org/10.3390/mca29050088 - 2 Oct 2024
Viewed by 413
Abstract
This paper proposes a high-performing, hybrid method for Maximum Power Point Tracking (MPPT) in photovoltaic (PV) systems. The approach is based on an intelligent Nonlinear Discrete Proportional–Integral–Derivative (N-DPID) controller with the Perturb and Observe (P&O) method. The feedback gains derived are optimized by [...] Read more.
This paper proposes a high-performing, hybrid method for Maximum Power Point Tracking (MPPT) in photovoltaic (PV) systems. The approach is based on an intelligent Nonlinear Discrete Proportional–Integral–Derivative (N-DPID) controller with the Perturb and Observe (P&O) method. The feedback gains derived are optimized by a metaheuristic algorithm called Particle Swarm Optimization (PSO). The proposed methods appear to present adequate solutions to overcome the drawbacks of existing methods despite various weather conditions considered in the analysis, providing a robust solution for dynamic environmental conditions. The results showed better performance and accuracy compared to those encountered in the literature. We also recall that this technique provides a systematic design procedure in the search for the MPPT in photovoltaic (PV) systems that has not yet been documented in the literature to the best of our knowledge. Full article
(This article belongs to the Special Issue Applied Optimization in Automatic Control and Systems Engineering)
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<p>Equivalent circuit of the single-diode cell.</p>
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<p>Block diagram for MPPT with PV.</p>
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<p>Equivalent circuit of boost converter.</p>
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<p>Flow chart of P&amp;O algorithm [<a href="#B34-mca-29-00088" class="html-bibr">34</a>].</p>
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<p>Flow chart of the PSO algorithm [<a href="#B40-mca-29-00088" class="html-bibr">40</a>].</p>
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<p>Flowchart of the proposed P&amp;O PSO N-DPID method.</p>
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<p>P&amp;O DPID convergence curve.</p>
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<p>P&amp;O N-DPID convergence curve.</p>
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<p>Irradiation profile.</p>
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<p>Temperature profile.</p>
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<p>(<b>a</b>) MPPT development during irradiation variation, (<b>b</b>) MPPT response in <b>A</b>, (<b>c</b>) MPPT response in <b>B</b>, and (<b>d</b>) MPPT response in <b>C</b>.</p>
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<p>(<b>a</b>) MPPT development during irradiation variation, (<b>b</b>) MPPT response in <b>A</b>, (<b>c</b>) MPPT response in <b>B</b>, and (<b>d</b>) MPPT response in <b>C</b>.</p>
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<p>(<b>a</b>) MPPT development during irradiation variation, (<b>b</b>) MPPT response in <b>A</b>, (<b>c</b>) MPPT response in <b>B</b>, and (<b>d</b>) MPPT response in <b>C</b>.</p>
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<p>MPPT response to temperature variation.</p>
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24 pages, 4472 KiB  
Article
An Improved Particle Swarm Optimization Algorithm Based on Variable Neighborhood Search
by Hao Li, Jianjun Zhan, Zipeng Zhao and Haosen Wang
Mathematics 2024, 12(17), 2708; https://doi.org/10.3390/math12172708 - 30 Aug 2024
Viewed by 690
Abstract
Various metaheuristic algorithms inspired by nature have been designed to deal with a variety of practical optimization problems. As an excellent metaheuristic algorithm, the improved particle swarm optimization algorithm based on grouping (IPSO) has strong global search capabilities. However, it lacks a strong [...] Read more.
Various metaheuristic algorithms inspired by nature have been designed to deal with a variety of practical optimization problems. As an excellent metaheuristic algorithm, the improved particle swarm optimization algorithm based on grouping (IPSO) has strong global search capabilities. However, it lacks a strong local search ability and the ability to solve constrained discrete optimization problems. This paper focuses on improving these two aspects of the IPSO algorithm. Based on IPSO, we propose an improved particle swarm optimization algorithm based on variable neighborhood search (VN-IPSO) and design a 0-1 integer programming solution with constraints. In the experiment, the performance of the VN-IPSO algorithm is fully tested and analyzed using 23 classic benchmark functions (continuous optimization), 6 knapsack problems (discrete optimization), and 10 CEC2017 composite functions (complex functions). The results show that the VN-IPSO algorithm wins 18 first places in the classic benchmark function test set, including 6 first places in the solutions for seven unimodal test functions, indicating a good local search ability. In solving the six knapsack problems, it wins four first places, demonstrating the effectiveness of the 0-1 integer programming constraint solution and the excellent solution ability of VN-IPSO in discrete optimization problems. In the test of 10 composite functions, VN-IPSO wins first place four times and ranks the first in the comprehensive ranking, demonstrating its excellent solving ability for complex functions. Full article
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<p>Diagram of neighborhood and operator.</p>
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<p>Variable neighborhood search algorithm process.</p>
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<p>The flow diagram for the complete work.</p>
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<p>The process of the VN-IPSO algorithm.</p>
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<p>Mapping relationship between integer variable <math display="inline"><semantics> <mrow> <msubsup> <mi>x</mi> <mi>i</mi> <mrow> <mi>b</mi> <mi>i</mi> <mi>n</mi> <mi>a</mi> <mi>r</mi> <mi>y</mi> </mrow> </msubsup> </mrow> </semantics></math> and continuous variable <math display="inline"><semantics> <mrow> <msub> <mi>x</mi> <mi>i</mi> </msub> </mrow> </semantics></math>.</p>
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<p>Qualitative analysis results of VN-IPSO on some benchmark functions.</p>
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<p>Qualitative analysis results of VN-IPSO on some benchmark functions.</p>
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<p>Qualitative analysis results of VN-IPSO on some benchmark test sets of knapsack problems.</p>
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<p>Iteration curves of VN-IPSO and comparison algorithms on the cec2017 composition functions.</p>
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<p>Box plots of VN-IPSO and its comparison algorithms on the cec2017 combination functions.</p>
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19 pages, 1511 KiB  
Article
Underwater Long Baseline Positioning Based on B-Spline Surface for Fitting Effective Sound Speed Table
by Yao Xing, Jiongqi Wang, Bowen Hou, Zhangming He and Xuanying Zhou
J. Mar. Sci. Eng. 2024, 12(8), 1429; https://doi.org/10.3390/jmse12081429 - 19 Aug 2024
Cited by 1 | Viewed by 462
Abstract
Due to the influence of the complex underwater environment, the sound speed constantly changes, resulting in the acoustic signal propagation trajectory being curved, which greatly affects the positioning accuracy of the underwater long baseline (LBL) system. In this paper, an improved LBL positioning [...] Read more.
Due to the influence of the complex underwater environment, the sound speed constantly changes, resulting in the acoustic signal propagation trajectory being curved, which greatly affects the positioning accuracy of the underwater long baseline (LBL) system. In this paper, an improved LBL positioning method based on a B-spline surface for fitting the effective sound speed table (ESST) is proposed. Firstly, according to the underwater sound speed profile, the discrete ESST of each measurement station is constructed before the positioning test, and then, the node position of the B-spline surface is optimized by particle swarm optimization (PSO) to accurately fit the discrete ESST. Based on this, the improved LBL positioning method is constructed. In the underwater positioning test, the effective sound speed can be quickly found by measuring the time of arrival (TOA) of the acoustic signal and the target depth, and moreover, the target position parameters can be quickly and accurately estimated. The numerical simulation results show that the improved positioning method proposed in this paper can effectively improve the LBL positioning accuracy and provide the theoretical basis and the technical support for the underwater navigation and positioning. Full article
(This article belongs to the Special Issue Unmanned Marine Vehicles: Navigation, Control and Sensing)
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<p>The LBL underwater positioning system.</p>
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<p>Comparison of different sound paths (<span class="html-italic">l</span> is the horizontal direction).</p>
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<p>Schematic diagram of ray tracking.</p>
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<p>Sound trajectory refraction.</p>
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<p>The constant sound speed gradient ray tracking method.</p>
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<p>Underwater LBL system positioning process diagram.</p>
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<p>The LBL system and the target trajectory.</p>
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<p>The sound speed profile.</p>
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<p>The ESST of station <math display="inline"><semantics> <msub> <mi mathvariant="bold-italic">S</mi> <mn>1</mn> </msub> </semantics></math>.</p>
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<p>The ESST of station <math display="inline"><semantics> <msub> <mi mathvariant="bold-italic">S</mi> <mn>3</mn> </msub> </semantics></math>.</p>
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<p>The node position in the PSO iteration process. (<b>a</b>) The node position in horizontal direction; (<b>b</b>) The node position in depth direction.</p>
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<p>The estimation error <math display="inline"><semantics> <mrow> <mo>|</mo> <mo>Δ</mo> <mi>x</mi> <mo>|</mo> </mrow> </semantics></math>.</p>
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<p>The estimation error <math display="inline"><semantics> <mrow> <mo>|</mo> <mo>Δ</mo> <mi>y</mi> <mo>|</mo> </mrow> </semantics></math>.</p>
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<p>The position error <math display="inline"><semantics> <mfenced separators="" open="&#x2225;" close="&#x2225;"> <mo>Δ</mo> <mi mathvariant="bold-italic">X</mi> </mfenced> </semantics></math>.</p>
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23 pages, 5427 KiB  
Article
Research on Wind Resistance Optimization Method for Cable-Stiffened, Single-Layer Spherical Reticulated Shell Based on QPSO Algorithm
by Ying Zhao, Guohan Chen, Shushuang Song, Mingyao Huang, Tianhao Zhang, Pengcheng Li and Gang Xiong
Buildings 2024, 14(8), 2474; https://doi.org/10.3390/buildings14082474 - 10 Aug 2024
Viewed by 882
Abstract
This study proposes an improved mixed-variable quantum particle swarm optimization (QPSO) algorithm capable of optimizing both continuous and discrete variables. The algorithm is applied to the wind resistance optimization of a cable-stiffened, single-layer spherical reticulated shell (SLSRS), optimizing discrete variables like member dimensions [...] Read more.
This study proposes an improved mixed-variable quantum particle swarm optimization (QPSO) algorithm capable of optimizing both continuous and discrete variables. The algorithm is applied to the wind resistance optimization of a cable-stiffened, single-layer spherical reticulated shell (SLSRS), optimizing discrete variables like member dimensions and cable dimensions alongside continuous variables such as cable prestress. Through a computational case study on an SLSRS, the optimization results of the proposed QPSO method are compared with other optimization techniques, validating its accuracy and reliability. Furthermore, this study establishes a mathematical model for the wind resistance optimization of cable-stiffened SLSRSs and outlines the wind resistance optimization process based on the mixed-variable QPSO algorithm. The optimization of these structures reveals the strong stability and global search capabilities of the proposed algorithm. Additionally, the comparison of section optimization and shape optimization highlights the significant impact of the shell shape on steel usage and costs, underscoring the importance of shape optimization in the design process. Full article
(This article belongs to the Special Issue Research on Industrialization and Intelligence in Building Structures)
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<p>Model of cable-stiffened reticulated shell.</p>
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<p>Flowchart of QPSO algorithm.</p>
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<p>K6 single-layer spherical reticulated shell [<a href="#B36-buildings-14-02474" class="html-bibr">36</a>]. (<b>a</b>) Plan view. (<b>b</b>) Elevation view.</p>
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<p>The iterative process curve of the reticulated shell weight and the contour of the stable stress ratio of the optimized SLSRS.</p>
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<p>Cable-stiffened SLSRS model.</p>
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<p>Spherical roof-wind load shape coefficient partition [<a href="#B43-buildings-14-02474" class="html-bibr">43</a>].</p>
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<p>Spherical reticulated shell and roof partition [<a href="#B43-buildings-14-02474" class="html-bibr">43</a>].</p>
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<p>Grouping of SLSRS members.</p>
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<p>Displacement contour of the cable-stiffened SLSRS without wind load applied.</p>
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<p>The iterative process of SLSRS section optimization under various load conditions.</p>
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<p>The iterative process of model II shape optimization under various load conditions.</p>
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<p>Comparison of section optimization and shape optimization results.</p>
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26 pages, 4472 KiB  
Article
EEG-Based Detection of Mild Cognitive Impairment Using DWT-Based Features and Optimization Methods
by Majid Aljalal, Saeed A. Aldosari, Khalil AlSharabi and Fahd A. Alturki
Diagnostics 2024, 14(15), 1619; https://doi.org/10.3390/diagnostics14151619 - 26 Jul 2024
Viewed by 648
Abstract
In recent years, electroencephalography (EEG) has been investigated for identifying brain disorders. This technique involves placing multiple electrodes (channels) on the scalp to measure the brain’s activities. This study focuses on accurately detecting mild cognitive impairment (MCI) from the recorded EEG signals. To [...] Read more.
In recent years, electroencephalography (EEG) has been investigated for identifying brain disorders. This technique involves placing multiple electrodes (channels) on the scalp to measure the brain’s activities. This study focuses on accurately detecting mild cognitive impairment (MCI) from the recorded EEG signals. To achieve this, this study first introduced discrete wavelet transform (DWT)-based approaches to generate reliable biomarkers for MCI. These approaches decompose each channel’s signal using DWT into a set of distinct frequency band signals, then extract features using a non-linear measure such as band power, energy, or entropy. Various machine learning approaches then classify the generated features. We investigated these methods on EEGs recorded using 19 channels from 29 MCI patients and 32 healthy subjects. In the second step, the study explored the possibility of decreasing the number of EEG channels while preserving, or even enhancing, classification accuracy. We employed multi-objective optimization techniques, such as the non-dominated sorting genetic algorithm (NSGA) and particle swarm optimization (PSO), to achieve this. The results show that the generated DWT-based features resulted in high full-channel classification accuracy scores. Furthermore, selecting fewer channels carefully leads to better accuracy scores. For instance, with a DWT-based approach, the full-channel accuracy achieved was 99.84%. With only four channels selected by NSGA-II, NSGA-III, or PSO, the accuracy increased to 99.97%. Furthermore, NSGA-II selects five channels, achieving an accuracy of 100%. The results show that the suggested DWT-based approaches are promising to detect MCI, and picking the most useful EEG channels makes the accuracy even higher. The use of a small number of electrodes paves the way for EEG-based diagnosis in clinical practice. Full article
(This article belongs to the Special Issue Artificial Intelligence in Brain Diseases)
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<p>A high-level overview of procedures followed in the present study.</p>
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<p>The 19 channels investigated in the current study and their corresponding locations.</p>
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<p>An illustrative example of DWT-based feature extraction from a 10 s segment (DWT+LBP).</p>
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<p>An illustration of NSGA (or PSO) channel representation in a chromosome (or particle).</p>
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<p>EEG channel selection process based on NSGA or PSO for MCI classification.</p>
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<p>The classification accuracy with five classifiers (full-channel-based results).</p>
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<p>The KNN classification results of the BE-based selected channels for each FE method. (<b>a</b>) DWT+LBP, (<b>b</b>) DWT+LogEn, (<b>c</b>) DWT+ThEn, and (<b>d</b>) DWT+SuEn.</p>
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<p>The KNN classification results of the NSGA-II-based selected channels for each FE method. (<b>a</b>) DWT+LBP, (<b>b</b>) DWT+LogEn, (<b>c</b>) DWT+ThEn, and (<b>d</b>) DWT+SuEn.</p>
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<p>The KNN classification results of the PSO-based selected channels for each FE method. (<b>a</b>) DWT+LBP, (<b>b</b>) DWT+LogEn, (<b>c</b>) DWT+ThEn, and (<b>d</b>) DWT+SuEn.</p>
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<p>Performance comparisons of the investigated channel selection approaches for each FE method. (<b>a</b>) DWT+LBP, (<b>b</b>) DWT+LogEn, (<b>c</b>) DWT+ThEn, and (<b>d</b>) DWT+SuEn.</p>
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<p>The returned five-channel solutions.</p>
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<p>The frequency of selection for EEG channels across all channel selection approaches and feature extraction methods.</p>
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<p>The NSGA-II-based classification results with four classifiers.</p>
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19 pages, 6497 KiB  
Article
Nonlinear Model Predictive Control with Evolutionary Data-Driven Prediction Model and Particle Swarm Optimization Optimizer for an Overhead Crane
by Tom Kusznir and Jarosław Smoczek
Appl. Sci. 2024, 14(12), 5112; https://doi.org/10.3390/app14125112 - 12 Jun 2024
Viewed by 722
Abstract
This paper presents a new approach to the nonlinear model predictive control (NMPC) of an underactuated overhead crane system developed using a data-driven prediction model obtained utilizing the regularized genetic programming-based symbolic regression method. Grammar-guided genetic programming combined with regularized least squares was [...] Read more.
This paper presents a new approach to the nonlinear model predictive control (NMPC) of an underactuated overhead crane system developed using a data-driven prediction model obtained utilizing the regularized genetic programming-based symbolic regression method. Grammar-guided genetic programming combined with regularized least squares was applied to identify a nonlinear autoregressive model with an exogenous input (NARX) prediction model of the crane dynamics from input–output data. The resulting prediction model was implemented in the NMPC scheme, using a particle swarm optimization (PSO) algorithm as a solver to find an optimal sequence of the control actions satisfying multi-objective performance requirements and input constraints. The feasibility and performance of the controller were experimentally verified using a laboratory crane actuated by AC motors and compared with a discrete-time feedback controller developed using the pole placement technique. A series of experiments proved the effectiveness of the controller in terms of robustness against operating condition variation and external disturbances. Full article
(This article belongs to the Special Issue Phenomena in Nonlinear Dynamical Systems: Theory and Application)
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<p>Schematic diagram of an overhead crane in 2D operating space.</p>
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<p>NMPC-GP scheme.</p>
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<p>Experimental setup.</p>
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<p>Comparison of GP-NARX models’ performance and complexity in 20-step-ahead prediction of (<b>a</b>) crane velocity and (<b>b</b>) payload sway (the green points correspond to models on the Pareto frontier, while the green pentagram point represents the selected model).</p>
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<p>GP-NARX models’ performance on testing data: 20-step-ahead prediction of crane velocity and payload sway angle at operating points (<b>a</b>) {<span class="html-italic">l</span> = 1.1 m, <span class="html-italic">m</span> = 50 kg} and (<b>b</b>) {<span class="html-italic">l</span> = 1.7 m, <span class="html-italic">m</span> = 10 kg}.</p>
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<p>NMPC-GP performance for <span class="html-italic">m</span> = {10, 30, 50} kg and (<b>a</b>) <span class="html-italic">l</span> = 0.8 m and (<b>b</b>) <span class="html-italic">l</span> = 1.4 m.</p>
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<p>NMPC-GP performance for (<b>a</b>) <span class="html-italic">m</span> = {10, 30, 50} kg and <span class="html-italic">l</span> = 2.0 m, and (<b>b</b>) in the presence of a disturbance (between 1.8 and 2.8 s, the pendulum is displaced from −0.04 rad to 0.15 rad).</p>
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<p>Comparison of the NMPC-GP and DFC at operating points (<b>a</b>) <span class="html-italic">l</span> = 1.1 m, <span class="html-italic">m</span> = 10 kg; and (<b>b</b>) <span class="html-italic">l</span> = 1.7 m, <span class="html-italic">m</span> = 10 kg.</p>
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21 pages, 1066 KiB  
Article
Research on a Three-Stage Dynamic Reactive Power Optimization Decoupling Strategy for Active Distribution Networks with Carbon Emissions
by Yuezhong Wu, Yujie Xiong, Xiaowei Peng, Cheng Cai and Xiangming Zheng
Energies 2024, 17(11), 2774; https://doi.org/10.3390/en17112774 - 5 Jun 2024
Viewed by 601
Abstract
The reactive power optimization of an active distribution network can effectively deal with the problem of voltage overflows at some nodes caused by the integration of a high proportion of distributed sources into the distribution network. Aiming to address the limitations in previous [...] Read more.
The reactive power optimization of an active distribution network can effectively deal with the problem of voltage overflows at some nodes caused by the integration of a high proportion of distributed sources into the distribution network. Aiming to address the limitations in previous studies of dynamic reactive power optimization using the cluster partitioning method, a three-stage dynamic reactive power optimization decoupling strategy for active distribution networks considering carbon emissions is proposed in this paper. First, a carbon emission index is proposed based on the carbon emission intensity, and a dynamic reactive power optimization mathematical model of an active distribution network is established with the minimum active power network loss, voltage deviation, and carbon emissions as the satisfaction objective functions. Second, in order to satisfy the requirement for the all-day motion times of discrete devices, a three-stage dynamic reactive power optimization decoupling strategy based on the partitioning around a medoids clustering algorithm is proposed. Finally, taking the improved IEEE33 and PG&E69-node distribution network systems as examples, the proposed linear decreasing mutation particle swarm optimization algorithm was used to solve the mathematical model. The results show that all the indicators of the proposed strategy and algorithm throughout the day are lower than those of other methods, which verifies the effectiveness of the proposed strategy and algorithm. Full article
(This article belongs to the Section A1: Smart Grids and Microgrids)
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<p>Three-stage dynamic reactive power optimization decoupling strategy flow chart for active distribution network.</p>
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<p>Improved IEEE33—node distribution network structure diagram.</p>
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<p>Improved PG&amp;E69—node distribution network structure diagram.</p>
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<p>All—day active power output curve of wind and photovoltaic power.</p>
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<p>Daily load curve of conventional load.</p>
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<p>OLTC all—day gear adjustment results (improved IEEE33—node distribution network).</p>
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<p>OLTC all—day gear adjustment results (improved PG&amp;E69—node distribution network).</p>
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<p>SCB1 compensation capacity switching results throughout the day (improved IEEE33—node distribution network).</p>
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<p>SCB2 compensation capacity switching results throughout the day (improved PG&amp;E69—node distribution network).</p>
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<p>Statistical plots of system node voltages in different experiments (improved IEEE33—node distribution network).</p>
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<p>Statistical plots of system node voltages in different experiments (improved PG&amp;E69-node distribution network).</p>
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24 pages, 3756 KiB  
Article
Cooperative Jamming Resource Allocation with Joint Multi-Domain Information Using Evolutionary Reinforcement Learning
by Qi Xin, Zengxian Xin and Tao Chen
Remote Sens. 2024, 16(11), 1955; https://doi.org/10.3390/rs16111955 - 29 May 2024
Viewed by 606
Abstract
Addressing the formidable challenges posed by multiple jammers jamming multiple radars, which arise from spatial discretization, many degrees of freedom, numerous model input parameters, and the complexity of constraints, along with a multi-peaked objective function, this paper proposes a cooperative jamming resource allocation [...] Read more.
Addressing the formidable challenges posed by multiple jammers jamming multiple radars, which arise from spatial discretization, many degrees of freedom, numerous model input parameters, and the complexity of constraints, along with a multi-peaked objective function, this paper proposes a cooperative jamming resource allocation method, based on evolutionary reinforcement learning, that uses joint multi-domain information. Firstly, an adversarial scenario model is established, characterizing the interaction between multiple jammers and radars based on a multi-beam jammer model and a radar detection model. Subsequently, considering real-world scenarios, this paper analyzes the constraints and objective function involved in cooperative jamming resource allocation by multiple jammers. Finally, accounting for the impact of spatial, frequency, and energy domain information on jamming resource allocation, matrices representing spatial condition constraints, jamming beam allocation, and jamming power allocation are formulated to characterize the cooperative jamming resource allocation problem. Based on this foundation, the joint allocation of the jamming beam and jamming power is optimized under the constraints of jamming resources. Through simulation experiments, it was determined that, compared to the dung beetle optimizer (DBO) algorithm and the particle swarm optimization (PSO) algorithm, the proposed evolutionary reinforcement learning algorithm based on DBO and Q-Learning (DBO-QL) offers 3.03% and 6.25% improvements in terms of jamming benefit and 26.33% and 50.26% improvements in terms of optimization success rate, respectively. In terms of algorithm response time, the proposed hybrid DBO-QL algorithm has a response time of 0.11 s, which is 97.35% and 96.57% lower than the response times of the DBO and PSO algorithms, respectively. The results show that the method proposed in this paper has good convergence, stability, and timeliness. Full article
(This article belongs to the Section Engineering Remote Sensing)
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<p>Schematic diagram of the adversarial scenario.</p>
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<p>Spectral overlap between the jammer and radar in the frequency domain: (<b>a</b>) <math display="inline"><semantics> <mrow> <msub> <mi>f</mi> <mrow> <mi>m</mi> <mn>1</mn> </mrow> </msub> <mo>&lt;</mo> <msub> <mi>f</mi> <mrow> <mi>n</mi> <mn>1</mn> </mrow> </msub> <mo>,</mo> <mo> </mo> <msub> <mi>f</mi> <mrow> <mi>n</mi> <mn>1</mn> </mrow> </msub> <mo>&lt;</mo> <msub> <mi>f</mi> <mrow> <mi>m</mi> <mn>2</mn> </mrow> </msub> <mo>&lt;</mo> <msub> <mi>f</mi> <mrow> <mi>n</mi> <mn>2</mn> </mrow> </msub> </mrow> </semantics></math>; (<b>b</b>) <math display="inline"><semantics> <mrow> <msub> <mi>f</mi> <mrow> <mi>n</mi> <mn>1</mn> </mrow> </msub> <mo>&lt;</mo> <msub> <mi>f</mi> <mrow> <mi>m</mi> <mn>1</mn> </mrow> </msub> <mo>&lt;</mo> <msub> <mi>f</mi> <mrow> <mi>n</mi> <mn>2</mn> </mrow> </msub> <mo>,</mo> <mo> </mo> <msub> <mi>f</mi> <mrow> <mi>m</mi> <mn>2</mn> </mrow> </msub> <mo>&gt;</mo> <msub> <mi>f</mi> <mrow> <mi>n</mi> <mn>2</mn> </mrow> </msub> </mrow> </semantics></math>; (<b>c</b>) <math display="inline"><semantics> <mrow> <msub> <mi>f</mi> <mrow> <mi>m</mi> <mn>1</mn> </mrow> </msub> <mo>&lt;</mo> <msub> <mi>f</mi> <mrow> <mi>n</mi> <mn>1</mn> </mrow> </msub> <mo>,</mo> <mo> </mo> <msub> <mi>f</mi> <mrow> <mi>m</mi> <mn>2</mn> </mrow> </msub> <mo>&gt;</mo> <msub> <mi>f</mi> <mrow> <mi>n</mi> <mn>2</mn> </mrow> </msub> </mrow> </semantics></math>; (<b>d</b>) <math display="inline"><semantics> <mrow> <msub> <mi>f</mi> <mrow> <mi>m</mi> <mn>2</mn> </mrow> </msub> <mo>&lt;</mo> <msub> <mi>f</mi> <mrow> <mi>n</mi> <mn>1</mn> </mrow> </msub> </mrow> </semantics></math>; (<b>e</b>) <math display="inline"><semantics> <mrow> <msub> <mi>f</mi> <mrow> <mi>m</mi> <mn>1</mn> </mrow> </msub> <mo>&gt;</mo> <msub> <mi>f</mi> <mrow> <mi>n</mi> <mn>2</mn> </mrow> </msub> </mrow> </semantics></math>.</p>
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<p>The partitioning rules for the population.</p>
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<p>DBO algorithm flow chart.</p>
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<p>Cooperative jamming resource allocation with joint multi-domain information.</p>
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<p>Visualization of the adversarial scenario.</p>
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<p>Function plots of learning rate <math display="inline"><semantics> <mi>α</mi> </semantics></math> and exploration factor <math display="inline"><semantics> <mi>ε</mi> </semantics></math>: (<b>a</b>) function plot of learning rate <math display="inline"><semantics> <mi>α</mi> </semantics></math>; (<b>b</b>) function plot of exploration factor <math display="inline"><semantics> <mi>ε</mi> </semantics></math>.</p>
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<p>Convergence curve of the hybrid DBO-QL algorithm: (<b>a</b>) the convergence curve of the outer-layer DBO algorithm; (<b>b</b>) the convergence curve of the inner-layer Q-learning algorithm.</p>
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<p>Visualization of DBO algorithm output.</p>
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<p>Visualization of Q-learning algorithm output.</p>
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19 pages, 2355 KiB  
Article
Electrical Machine Winding Performance Optimization by Multi-Objective Particle Swarm Algorithm
by François S. Martins, Bernardo P. Alvarenga and Geyverson T. Paula
Energies 2024, 17(10), 2286; https://doi.org/10.3390/en17102286 - 9 May 2024
Cited by 1 | Viewed by 783
Abstract
The present work aims to optimize the magnetomotive force and the end-winding leakage inductance from a discrete distribution of conductors in electrical machines through multi-objective particle swarm heuristics. From the development of an application capable of generating the conductor distribution for different machine [...] Read more.
The present work aims to optimize the magnetomotive force and the end-winding leakage inductance from a discrete distribution of conductors in electrical machines through multi-objective particle swarm heuristics. From the development of an application capable of generating the conductor distribution for different machine configurations (single or poly-phase, single or double layer, integral or fractional slots, full or shortened pitch, with the presence of empty slots, etc.) the curves of magnetomotive force and the end-winding leakage inductance associated with the winding are computed. Taking as an optimal winding the one that presents, simultaneously, less harmonic distortion of the magnetomotive force and less leakage inductance, optimization by multi-objective particle swarm was used to obtain the optimal electrical machine configuration and the results are presented. Full article
(This article belongs to the Topic Advanced Electrical Machine Design and Optimization Ⅱ)
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<p>The arrangement of conductors in a three-phase single-layer machine with <math display="inline"><semantics> <mrow> <mi>Z</mi> <mo>=</mo> <mn>24</mn> </mrow> </semantics></math> slots and <math display="inline"><semantics> <mrow> <mn>2</mn> <mi>p</mi> <mo>=</mo> <mn>4</mn> </mrow> </semantics></math> poles. The rows of the table stand for, respectively, slot number, and the first layer. Each color and number are associated with a phase.</p>
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<p>The phase diagram for a three-phase single-layer induction motor with <math display="inline"><semantics> <mrow> <mi>Z</mi> <mo>=</mo> <mn>24</mn> </mrow> </semantics></math> slots and <math display="inline"><semantics> <mrow> <mn>2</mn> <mi>p</mi> <mo>=</mo> <mn>4</mn> </mrow> </semantics></math> poles where each color represents a phase. The dashed lines are the individual phasor voltage from each slot while the solid line is the resultant phasor voltage. <math display="inline"><semantics> <msub> <mi>α</mi> <mi>d</mi> </msub> </semantics></math> is the angle between the phases.</p>
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<p>Illustration of “right member” shift of the primitive winding distribution tables of normal and non-reduced systems.</p>
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<p>Illustration of the swap of quadrants 1 and 3 of primitive winding distribution tables of reduced systems.</p>
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<p>The arrangement of conductors in a machine with <math display="inline"><semantics> <mrow> <mi>m</mi> <mo>=</mo> <mn>4</mn> </mrow> </semantics></math> phases, <math display="inline"><semantics> <mrow> <mi>Z</mi> <mo>=</mo> <mn>32</mn> </mrow> </semantics></math> slots, <math display="inline"><semantics> <mrow> <mn>2</mn> <mi>p</mi> <mo>=</mo> <mn>4</mn> </mrow> </semantics></math> poles, double layer, and coil pitch of <math display="inline"><semantics> <mrow> <mi>y</mi> <mo>=</mo> <mn>3</mn> </mrow> </semantics></math> slots. The rows of the table stand for, respectively, the slot number, the first layer, and the second layer. Each color and number are associated with a phase.</p>
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<p>The MMF curve of a machine with <math display="inline"><semantics> <mrow> <mi>m</mi> <mo>=</mo> <mn>4</mn> </mrow> </semantics></math> phases, <math display="inline"><semantics> <mrow> <mi>Z</mi> <mo>=</mo> <mn>32</mn> </mrow> </semantics></math> slots, double layer, and coil pitch of <math display="inline"><semantics> <mrow> <mi>y</mi> <mo>=</mo> <mn>3</mn> </mrow> </semantics></math>.</p>
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<p>Composition of the MMF of phase 1 of a three-phase single-layer machine with <math display="inline"><semantics> <mrow> <mi>Z</mi> <mo>=</mo> <mn>12</mn> </mrow> </semantics></math> slots and <math display="inline"><semantics> <mrow> <mn>2</mn> <mi>p</mi> <mo>=</mo> <mn>2</mn> </mrow> </semantics></math> poles. (<b>a</b>) MMF produced by <math display="inline"><semantics> <msub> <mi>n</mi> <mi>s</mi> </msub> </semantics></math> conductors of phase 1 belonging to slot 1. (<b>b</b>) MMF produced by a 1-phase coil placed in slots 1 and 7.</p>
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<p>Total MMF curve composition of a three-phase single-layer machine with <math display="inline"><semantics> <mrow> <mi>Z</mi> <mo>=</mo> <mn>12</mn> </mrow> </semantics></math> slots and <math display="inline"><semantics> <mrow> <mn>2</mn> <mi>p</mi> <mo>=</mo> <mn>2</mn> </mrow> </semantics></math> poles.</p>
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<p>Fourier series approximation of the MMF curve of a three-phase single-layer machine with <math display="inline"><semantics> <mrow> <mi>Z</mi> <mo>=</mo> <mn>12</mn> </mrow> </semantics></math> slots and <math display="inline"><semantics> <mrow> <mn>2</mn> <mi>p</mi> <mo>=</mo> <mn>2</mn> </mrow> </semantics></math> poles.</p>
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<p>Illustration of end-winding dispersion flux. (<b>a</b>) The end-winding dispersion flux in side cutaway view. (<b>b</b>) Two adjacent diamond coil ends of an electrical machine stator.</p>
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<p>The evolution of the Pareto frontier during a bi-objective optimization problem solving. The green points stand for non-dominated solutions, the blue points are the dominated solutions, and the yellow point is the solution for which the density is being calculated. The hatched area is the area delimited by constraints. (<b>a</b>) The beginning of optimization. The Pareto frontier is far from the optimized solution set. (<b>b</b>) The expected optimization results. The Pareto frontier is at the limit of the restrictions to achieve the set of optimized solutions. (<b>c</b>) The density criterion computation for the yellow solution.</p>
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<p>Flow diagram of the methodology applied to optimize the windings.</p>
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<p>Ideal Pareto frontier and MOPSO for validation scenario 1.</p>
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<p>Ideal Pareto frontier and MOPSO for validation scenario 2.</p>
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<p>Pareto frontier computed by MOPSO for application scenario 1.</p>
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<p>Pareto frontier computed by MOPSO for application scenario 2.</p>
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<p>Pareto frontier computed by MOPSO for application scenario 3.</p>
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20 pages, 2129 KiB  
Article
Task Allocation of Multi-Machine Collaborative Operation for Agricultural Machinery Based on the Improved Fireworks Algorithm
by Suji Zhu, Bo Wang, Shiqi Pan, Yuting Ye, Enguang Wang and Hanping Mao
Agronomy 2024, 14(4), 710; https://doi.org/10.3390/agronomy14040710 - 28 Mar 2024
Cited by 2 | Viewed by 921
Abstract
Currently, the multi-machine collaboration of agricultural machinery is one of the international frontiers and a topic of research interest in the field of agricultural equipment. However, the multi-machine cooperative operation of agricultural machinery is mostly limited to the research on task goal planning [...] Read more.
Currently, the multi-machine collaboration of agricultural machinery is one of the international frontiers and a topic of research interest in the field of agricultural equipment. However, the multi-machine cooperative operation of agricultural machinery is mostly limited to the research on task goal planning and cooperative path optimization of a single operation. To address the mentioned shortcomings, this study addresses the problem of multi-machine cooperative operation of fertilizer applicators in fields with different fertility and fertilizer cooperative distribution of fertilizer trucks. The research uses the task allocation method of a multi-machine cooperative operation of applying fertilizer-transporting fertilizer. First, the problems of fertilizer applicator operation and fertilizer truck fertilizer distribution are defined, and the operating time and the distribution distance are used as optimization objectives to construct functions to establish task allocation mathematical models. Second, a Chaos–Cauchy Fireworks Algorithm (CCFWA), which includes a discretized decoding method, a population initialization with a chaotic map, and a Cauchy mutation operation, is developed. Finally, the proposed algorithm is verified by tests in an actual scenario of fertilizer being applied in the test area of Jimo District, Qingdao City, Shandong Province. The results show that compared to the Fireworks Algorithm, Genetic Algorithm, and Particle Swarm Optimization, the proposed CCFWA can address the problem of falling into a local optimum while guaranteeing the convergence speed. Also, the variance of the CCFWA is reduced by more than 48% compared with the other three algorithms. The proposed method can realize multi-machine cooperative operation and precise distribution of seeds and fertilizers for multiple seeding-fertilizer applicators and fertilizer trucks. Full article
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<p>Operation mode diagram of a fertilizer applicator.</p>
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<p>Schematic diagram of the fertilizer applicators operating in the order of distribution.</p>
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<p>Schematic diagram of two vertices of a field on the roadside.</p>
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<p>Schematic diagram of four vertices of a field on the roadside.</p>
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<p>Coding method proposed to solve the fertilizer distribution problem.</p>
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<p>CCFWA flowchart.</p>
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<p>Schematic diagram of the experimental field.</p>
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<p>Comparison of fitness values of the four algorithms.</p>
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25 pages, 5516 KiB  
Article
Research on Flexible Job Shop Scheduling Problem with Handling and Setup Time Based on Improved Discrete Particle Swarm Algorithm
by Jili Kong and Zhen Wang
Appl. Sci. 2024, 14(6), 2586; https://doi.org/10.3390/app14062586 - 20 Mar 2024
Cited by 2 | Viewed by 1450
Abstract
With the gradual emergence of customized manufacturing, intelligent manufacturing systems have experienced widespread adoption, leading to a surge in research interests in the associated problem of intelligent scheduling. In this paper, we study the flexible job shop scheduling problem (FJSP) with setup time, [...] Read more.
With the gradual emergence of customized manufacturing, intelligent manufacturing systems have experienced widespread adoption, leading to a surge in research interests in the associated problem of intelligent scheduling. In this paper, we study the flexible job shop scheduling problem (FJSP) with setup time, handling time, and processing time in a multi-equipment work center production environment oriented toward smart manufacturing and make-to-order requirements. A mathematical model with the optimization objectives of minimizing the maximum completion time, the total number of machine adjustments, the total number of workpieces handled and the total load of the machine is constructed, and an improved discrete particle swarm algorithm based on Pareto optimization and a nonlinear adaptive inertia weighting strategy is proposed to solve the model. By integrating the model characteristics and algorithm features, a hybrid initialization method is designed to generate a higher-quality initialized population. Next, three cross-variance operators are used to implement particle position updates to maintain information sharing among particles. Then, the performance effectiveness of this algorithm is verified by testing and analyzing 15 FJSP test instances. Finally, the feasibility and effectiveness of the designed algorithm for solving multi-objective FJSPs are verified by designing an FJSP test example that includes processing time, setup time and handling time. Full article
(This article belongs to the Special Issue Intelligent Production and Manufacturing Systems)
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<p>A schematic diagram of multi-equipment work centers.</p>
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<p>Operation code.</p>
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<p>Machine code.</p>
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<p><math display="inline"><semantics> <mrow> <msub> <mrow> <mi>o</mi> <mi>p</mi> </mrow> <mrow> <mn>1</mn> </mrow> </msub> </mrow> </semantics></math> operator.</p>
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<p><math display="inline"><semantics> <mrow> <msub> <mrow> <mi>o</mi> <mi>p</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msub> </mrow> </semantics></math> operator.</p>
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<p><math display="inline"><semantics> <mrow> <msub> <mrow> <mi>o</mi> <mi>p</mi> </mrow> <mrow> <mn>3</mn> </mrow> </msub> </mrow> </semantics></math> operator MS sequence adjustment.</p>
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<p>Flow chart of IDPSO algorithm solving multi-objective FJSP.</p>
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<p>Parameter factor mean effect graph.</p>
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<p>Kacem01 instance optimal scheduling Gantt chart.</p>
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<p>Kacem03 instance optimal scheduling Gantt chart.</p>
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<p>MK09 instance optimal scheduling Gantt chart.</p>
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<p>Evolutionary chart of <span class="html-italic">gbest</span> individual fitness based on Pareto selection strategy.</p>
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<p>Gantt chart of optimal scheduling with the AT01 example.</p>
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19 pages, 2691 KiB  
Article
Multi-Objective Dynamic Reconstruction of Distributed Energy Distribution Networks Based on Stochastic Probability Models and Optimized Beetle Antennae Search
by Xin Yan, Yiming Luo, Naiwei Tu, Peigen Tian and Xi Xiao
Processes 2024, 12(2), 395; https://doi.org/10.3390/pr12020395 - 16 Feb 2024
Viewed by 767
Abstract
In the dynamic optimization problem of the distribution network, a dynamic reconstruction method based on a stochastic probability model and optimized beetle antennae search is proposed. By implementing dynamic reconstruction of distributed energy distribution networks, the dynamic regulation and optimization capabilities of the [...] Read more.
In the dynamic optimization problem of the distribution network, a dynamic reconstruction method based on a stochastic probability model and optimized beetle antennae search is proposed. By implementing dynamic reconstruction of distributed energy distribution networks, the dynamic regulation and optimization capabilities of the distribution network can be improved. In this study, a random probability model is used to describe the uncertainty in the power grid. The beetle antennae search is used for dynamic multi-objective optimization. The performance of the beetle antennae search is improved by combining it with the simulated annealing algorithm. According to the results, the optimization success rate of the model was 98.7%. Compared with the discrete binary particle swarm optimization algorithm and bacterial foraging optimization algorithm, it was 9.3% and 26.1% faster, respectively. For practical applications, this model could effectively reduce power grid transmission losses, with a reduction range of 16.7–18.6%. Meanwhile, the charging and discharging loads were effectively reduced, with a reduction range of 16.2–19.7%. Therefore, this method has significant optimization effects on actual power grid operation. This research achievement contributes to the further development of dynamic reconstruction technology for distribution networks, improving the operational efficiency and stability of the power grid. This has important practical significance for achieving green and intelligent operation of the power system. Full article
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<p>Latin hypercube sampling diagram.</p>
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<p>Flow diagram of random variable power flow calculation in distributed energy distribution network.</p>
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<p>Schematic diagram of the search food principle and abstract model of beetle.</p>
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<p>Schematic diagram of the optimization movement of beetle.</p>
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<p>Flow diagram of SA-BAS algorithm.</p>
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<p>Schematic diagram of the flow of Multi-target Tenox algorithm.</p>
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<p>Schematic diagram of IEEE-33 node system.</p>
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<p>Iterative performance testing of three models.</p>
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<p>Three-dimensional space solution set test of three kinds of models.</p>
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<p>Reconfiguration time test of three models.</p>
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<p>Test of the influence of the reconstruction of three models on transmission loss.</p>
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<p>Test of the influence of the reconstruction of three models on charge and discharge load.</p>
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18 pages, 865 KiB  
Article
A Population-Based Search Approach to Solve Continuous Distributed Constraint Optimization Problems
by Xin Liao and Khoi D. Hoang
Appl. Sci. 2024, 14(3), 1290; https://doi.org/10.3390/app14031290 - 4 Feb 2024
Viewed by 1189
Abstract
Distributed Constraint Optimization Problems (DCOPs) are an efficient framework widely used in multi-agent collaborative modeling. The traditional DCOP framework assumes that variables are discrete and constraint utilities are represented in tabular forms. However, the variables are continuous and constraint utilities are in functional [...] Read more.
Distributed Constraint Optimization Problems (DCOPs) are an efficient framework widely used in multi-agent collaborative modeling. The traditional DCOP framework assumes that variables are discrete and constraint utilities are represented in tabular forms. However, the variables are continuous and constraint utilities are in functional forms in many practical applications. To overcome this limitation, researchers have proposed Continuous DCOPs (C-DCOPs), which can model DCOPs with continuous variables. However, most of the existing C-DCOP algorithms rely on gradient information for optimization, which means that they are unable to solve the situation where the utility function is a non-differentiable function. Although the Particle Swarm-Based C-DCOP (PCD) and Particle Swarm with Local Decision-Based C-DCOP (PCD-LD) algorithms can solve the situation with non-differentiable utility functions, they need to implement Breadth First Search (BFS) pseudo-trees for message passing. Unfortunately, employing the BFS pseudo-tree results in expensive computational overheads and agent privacy leakage, as messages are aggregated to the root node of the BFS pseudo-tree. Therefore, this paper aims to propose a fully distributed C-DCOP algorithm to solve the utility function form problem and avoid the disadvantages caused by the BFS pseudo-tree. Inspired by the population-based algorithms, we propose a fully decentralized local search algorithm, named Population-based Local Search Algorithm (PLSA), for solving C-DCOPs with three-fold advantages: (i) PLSA adopts a heuristic method to guide the local search to achieve a fast search for high-quality solutions; (ii) in contrast to the conventional C-DCOP algorithm, PLSA can solve utility functions of any form; and (iii) compared to PCD and PCD-LD, PLSA avoids complex message passing to achieve efficient computation and agent privacy protection. In addition, we implement an extended version of PLSA, named Population-based Global Search Algorithm (PGSA), and empirically show that our algorithms outperform the state-of-the-art C-DCOP algorithms on three types of benchmark problems. Full article
(This article belongs to the Section Computing and Artificial Intelligence)
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<p>An example of a C-DCOP.</p>
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<p>A BFS pseudo-tree representation (<b>c</b>) of the C-DCOP depicted in <a href="#applsci-14-01290-f001" class="html-fig">Figure 1</a>a.</p>
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<p>Relative quality of solutions with different <math display="inline"><semantics> <mi>λ</mi> </semantics></math> and <span class="html-italic">T</span>.</p>
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<p>The evolution of solution quality of PLSA and PGSA against the competing algorithms on sparse random graphs.</p>
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<p>The evolution of solution quality of PLSA and PGSA against the competing algorithms on dense random graphs.</p>
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<p>The evolution of solution quality of PLSA and PGSA against the competing algorithms on scale-free networks.</p>
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<p>The evolution of solution quality of PLSA and PGSA against the competing algorithms on small-world networks.</p>
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<p>The solution quality of PLSA and PGSA against the competing algorithms with different numbers of agents. (<b>a</b>) Sparse random graphs. (<b>b</b>) Sense random graphs. (<b>c</b>) Scale-free networks. (<b>d</b>) Small-world networks.</p>
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<p>The solution quality of PLSA and PGSA against the competing algorithms with different numbers of agents. (<b>a</b>) Sparse random graphs. (<b>b</b>) Sense random graphs. (<b>c</b>) Scale-free networks. (<b>d</b>) Small-world networks.</p>
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21 pages, 2144 KiB  
Article
Scheduling Optimization of Compound Operations in Autonomous Vehicle Storage and Retrieval System
by Lili Xu, Jiansha Lu and Yan Zhan
Symmetry 2024, 16(2), 168; https://doi.org/10.3390/sym16020168 - 31 Jan 2024
Cited by 1 | Viewed by 1069
Abstract
The increasing demand for storing various types of goods has led to a raise in the need for storage capacity in warehousing systems. Autonomous vehicle storage and retrieval systems (AVS/RSs) offer high flexibility by allowing different configurations to meet different storage requirements. The [...] Read more.
The increasing demand for storing various types of goods has led to a raise in the need for storage capacity in warehousing systems. Autonomous vehicle storage and retrieval systems (AVS/RSs) offer high flexibility by allowing different configurations to meet different storage requirements. The system mainly completes operations through elevators and multiple rail-guided vehicles (RGVs). This paper focuses on the scheduling optimization of compound operations in the AVS/RS to improve system performance. Compound operations involve the coordinated execution of both single-command and double-command operations. A mathematical model with compound operations was proposed and effectively decomposed into a horizontal component for RGVs and a vertical counterpart for the elevator, which can represent the operations of one elevator cooperating with multiple RGVs. The goal of this model was to minimize the makespan for compound operations and to determine the optimal operation sequence and path for RGVs. An improved discrete particle swarm optimization (DPSO) algorithm called AGDPSO was proposed to solve the model. The algorithm combines DPSO and a genetic algorithm in an adaptive manner to prevent the algorithm from falling into local optima and relying solely on the initial solution. Through rigorous optimization, optimal parameters for the algorithm were identified. When assessing the performance of our improved algorithm against various counterparts, considering different task durations and racking configurations, our results showed that AGDPSO outperformed the alternatives, proving its effectiveness in enhancing system efficiency for the model. The findings of this study not only contribute to the optimization of AVS/RS but also offer valuable insights for designing more efficient warehouses. By streamlining scheduling, improving operations, and leveraging advanced optimization techniques, we can create a more robust and effective storage and retrieval system. Full article
(This article belongs to the Special Issue Symmetry in Computing Algorithms and Applications)
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<p>Structure diagram of the AVS/RS.</p>
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<p>Paths of storage and retrieval progress.</p>
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<p>The path diagram of the RGV in the idle load stage at <math display="inline"><semantics> <mrow> <msub> <mi>z</mi> <mi>i</mi> </msub> <mo>=</mo> <msub> <mi>z</mi> <mi>j</mi> </msub> </mrow> </semantics></math>. (<b>a</b>) α = 0; (<b>b</b>) α = 1 and <span class="html-italic">β</span> = <span class="html-italic">i</span>; (<b>c</b>) α = 1 and <span class="html-italic">β</span> = <span class="html-italic">j</span>.</p>
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<p>A particle position example.</p>
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<p>Iterative process of different algorithms solves the different numbers of RGV. (<b>a</b>) The number of RGVs is 1; (<b>b</b>) the number of RGVs is 2; (<b>c</b>) the number of RGVs is 4; (<b>d</b>) the number of RGVs is 4.</p>
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<p>Iterative process of different algorithms solves the different numbers of RGV. (<b>a</b>) The number of RGVs is 1; (<b>b</b>) the number of RGVs is 2; (<b>c</b>) the number of RGVs is 4; (<b>d</b>) the number of RGVs is 4.</p>
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<p>Iteration diagram of four algorithms under different operation times, which are 25, 50, and 100. (<b>a</b>) The operation time is 25; (<b>b</b>) the operation time is 50; (<b>c</b>) the operation time is 100.</p>
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6 pages, 607 KiB  
Proceeding Paper
Image Fusion Techniques Based on Optimization Algorithms: A Review
by Anamika Goel, Javed Wasim, Prabhat Kumar Srivastava, Kanika Malik and Monika Singh
Eng. Proc. 2023, 59(1), 225; https://doi.org/10.3390/engproc2023059225 - 26 Jan 2024
Viewed by 764
Abstract
In image processing applications, image fusion techniques gain popularity because they combine the most appropriate features of different source images in order to generate a single image that contains more information and is more beneficial. In this paper, initially, we have analysed the [...] Read more.
In image processing applications, image fusion techniques gain popularity because they combine the most appropriate features of different source images in order to generate a single image that contains more information and is more beneficial. In this paper, initially, we have analysed the conventional spatial and transform domain image fusion techniques. These techniques face numerous challenges, such as low contrast, noise, and redundancy. To overcome these challenges, adaptive image fusion methods using nature-inspired optimization algorithms (YSGA) are deployed. These algorithms search for the optimal solution for the image fusion technique based on the objective function. Therefore, the main focus of this paper is to study and analyse the optimization algorithms based on various factors. Full article
(This article belongs to the Proceedings of Eng. Proc., 2023, RAiSE-2023)
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<p>The proposed image fusion model’s flowchart.</p>
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<p>YSGO Algorithm Flowchart [<a href="#B12-engproc-59-00225" class="html-bibr">12</a>].</p>
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