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Advances and Trends in Mathematical Modelling, Design, Control and Identification...
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Advances and Trends in Mathematical Modelling, Design, Control and Identification of Modern Vibrating Energy Conversion Systems

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Engineering Mathematics".

Deadline for manuscript submissions: closed (15 July 2024) | Viewed by 8394

Special Issue Editors

Prof. Dr. Francisco Beltran-Carbajal

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Guest Editor
Departamento de Energía, Universidad Autónoma Metropolitana, Unidad Azcapotzalco, Mexico City 02200, Mexico
Interests: vibration control; system identification; rotating machinery; mechatronics; automatic control of energy conversion systems
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Julio Cesar Rosas Caro

E-Mail Website
Guest Editor
Facultad de Ingeniería, Universidad Panamericana, Álvaro del Portillo 49, Zapopan 45010, Mexico
Interests: power electronics converters; DC-DC converters; power conditioning for renewable systems
Special Issues, Collections and Topics in MDPI journals
Dr. Juan M Ramirez

E-Mail Website
Guest Editor
Department of Electrical Engineering (Guadalajara), Center for Research and Advanced Studies of the National Polytechnic Institute, Mexico City CP 45019, Mexico
Interests: analysis and control of electric power systems; applications of power electronics in electrical networks; optimization
Special Issues, Collections and Topics in MDPI journals
Dr. Jonathan C. Mayo-Maldonado

E-Mail Website
Guest Editor
Department of Electronic and Electrical Engineering, The University of Sheffield, Sheffield S102TN, UK
Interests: behavioral system theory and dissipativity (higher-order modeling and control); nonlinear control design; modeling and control of power converters; power converter topology design; smart grid technologies; micro-synchrophasors (micro PMU); energy storage (battery modeling, balancing, state estimation and grid support applications)
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Vibrations or oscillations can be found in many modern energy conversion systems. Vibrations are mainly considered in mechanical structures, while oscillations can also be found in electrical, electronic, and electromechanical systems. The aim of this Special Issue is to introduce recent research contributions and trends in the fields of analysis, modelling, design, control, identification, and experimental instrumentation of energy conversion systems, where oscillations can be exhibited. The significant relevance of applied mathematics should be highlighted. In this context, novel experimental, theoretical and industrial studies related (but not limited) to wind energy, solar, chemical, electromechanical, electromagnetic energy conversion systems, including their components, and other applications of passive, semi-active, active and hybrid vibration control are welcome. Original research and review articles are welcome. Potential topics include, but are not limited to, mathematical modelling, vibration analysis and control, system identification, disturbance estimation, protection and control of modern power systems, power converters, power electronics, electric vehicles, battery energy storage systems, vibration isolation systems and other experimental and theoretical developments in which the presence of oscillations constitutes a relevant issue.

Prof. Dr. Francisco Beltran-Carbajal
Prof. Dr. Julio Cesar Rosas Caro
Dr. Juan M Ramirez
Dr. Jonathan C. Mayo-Maldonado
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • mathematical modelling
  • analysis and control of oscillations
  • artificial intelligence in modern energy conversion systems
  • power electronics technologies
  • electric machinery
  • renewable energy conversion systems
  • system identification
  • harmonic distortion
  • experimental instrumentation
  • electric vehicles
  • electromagnetic systems

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Published Papers (5 papers)

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Research

17 pages, 1100 KiB  
Article
A Comparative Analysis of Metaheuristic Algorithms for Enhanced Parameter Estimation on Inverted Pendulum System Dynamics
by Daniel Sanin-Villa, Miguel Angel Rodriguez-Cabal, Luis Fernando Grisales-Noreña, Mario Ramirez-Neria and Juan C. Tejada
Mathematics 2024, 12(11), 1625; https://doi.org/10.3390/math12111625 - 22 May 2024
Cited by 2 | Viewed by 987
Abstract
This research explores the application of metaheuristic algorithms to refine parameter estimation in dynamic systems, with a focus on the inverted pendulum model. Three optimization techniques, Particle Swarm Optimization (PSO), Continuous Genetic Algorithm (CGA), and Salp Swarm Algorithm (SSA), are introduced to solve [...] Read more.
This research explores the application of metaheuristic algorithms to refine parameter estimation in dynamic systems, with a focus on the inverted pendulum model. Three optimization techniques, Particle Swarm Optimization (PSO), Continuous Genetic Algorithm (CGA), and Salp Swarm Algorithm (SSA), are introduced to solve this problem. Through a thorough statistical evaluation, the optimal performance of each technique within the dynamic methodology is determined. Furthermore, the efficacy of these algorithms is demonstrated through experimental validation on a real prototype, providing practical insights into their performance. The outcomes of this study contribute to the advancement of control strategies by integrating precisely estimated physical parameters into various control algorithms, including PID controllers, fuzzy logic controllers, and model predictive controllers. Each algorithm ran 1000 times, and the SSA algorithm achieved the best performance, with the most accurate parameter estimation with a minimum error of 0.01501 N m and a mean solution error of 0.01506 N m. This precision was further underscored by its lowest standard deviation in RMSE (1.443 99 × 10−6 N m), indicating remarkable consistency across evaluations. The 95% confidence interval for error corroborated the algorithm’s reliability in deriving optimal solutions. Full article
(This article belongs to the Special Issue Advances and Trends in Mathematical Modelling, Design, Control and Identification of Modern Vibrating Energy Conversion Systems)
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40 pages, 31758 KiB  
Article
Dynamical Sphere Regrouping Particle Swarm Optimization: A Proposed Algorithm for Dealing with PSO Premature Convergence in Large-Scale Global Optimization
by Martín Montes Rivera, Carlos Guerrero-Mendez, Daniela Lopez-Betancur and Tonatiuh Saucedo-Anaya
Mathematics 2023, 11(20), 4339; https://doi.org/10.3390/math11204339 - 19 Oct 2023
Cited by 6 | Viewed by 2516
Abstract
Optimizing large-scale numerical problems is a significant challenge with numerous real-world applications. The optimization process is complex due to the multi-dimensional search spaces and possesses several locally optimal regions. In response to this issue, various metaheuristic algorithms and variations have been developed, including [...] Read more.
Optimizing large-scale numerical problems is a significant challenge with numerous real-world applications. The optimization process is complex due to the multi-dimensional search spaces and possesses several locally optimal regions. In response to this issue, various metaheuristic algorithms and variations have been developed, including evolutionary and swarm intelligence algorithms and hybrids of different artificial intelligence techniques. Previous studies have shown that swarm intelligence algorithms like PSO perform poorly in high-dimensional spaces, even with algorithms focused on reducing the search space. However, we propose a modified version of the PSO algorithm called Dynamical Sphere Regrouping PSO (DSRegPSO) to avoid stagnation in local optimal regions. DSRegPSO is based on the PSO algorithm and modifies inertial behavior with a regrouping dynamical sphere mechanism and a momentum conservation physics effect. These behaviors maintain the swarm’s diversity and regulate the exploration and exploitation of the search space while avoiding stagnation in optimal local regions. The DSRegPSO mechanisms mimic the behavior of birds, moving particles similar to birds when they look for a new food source. Additionally, the momentum conservation effect mimics how birds react to collisions with the boundaries in their search space or when they are looking for food. We evaluated DSRegPSO by testing 15 optimizing functions with up to 1000 dimensions of the CEC’13 benchmark, a standard for evaluating Large-Scale Global Optimization used in Congress on Evolutionary Computation, and several journals. Our proposal improves the behavior of all variants of PSO registered in the toolkit of comparison for CEC’13 and obtains the best result in the non-separable functions against all the algorithms. Full article
(This article belongs to the Special Issue Advances and Trends in Mathematical Modelling, Design, Control and Identification of Modern Vibrating Energy Conversion Systems)
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49 pages, 3291 KiB  
Article
Motion-Tracking Control of Mobile Manipulation Robotic Systems Using Artificial Neural Networks for Manufacturing Applications
by Daniel Galvan-Perez, Francisco Beltran-Carbajal, Ivan Rivas-Cambero, Hugo Yañez-Badillo, Antonio Favela-Contreras and Ruben Tapia-Olvera
Mathematics 2023, 11(16), 3489; https://doi.org/10.3390/math11163489 - 12 Aug 2023
Cited by 2 | Viewed by 1721
Abstract
Robotic systems have experienced exponential growth in their utilization for manufacturing applications over recent decades. Control systems responsible for executing desired robot motion planning face increasingly stringent performance requirements. These demands encompass high precision, efficiency, stability, robustness, ease of use, and simplicity of [...] Read more.
Robotic systems have experienced exponential growth in their utilization for manufacturing applications over recent decades. Control systems responsible for executing desired robot motion planning face increasingly stringent performance requirements. These demands encompass high precision, efficiency, stability, robustness, ease of use, and simplicity of the user interface. Furthermore, diverse modern manufacturing applications primarily employ robotic systems within disturbed operating scenarios. This paper presents a novel neural motion-tracking control scheme for mobile manipulation robotic systems. Dynamic position output error feedback and B–Spline artificial neural networks are integrated in the design process of the introduced adaptive robust control strategy to perform efficient and robust tracking of motion-planning trajectories in robotic systems. Integration of artificial neural networks demonstrates performance improvements in the control scheme while effectively addressing common issues encountered in manufacturing environments. Parametric uncertainty, unmodeled dynamics, and unknown disturbance torque terms represent some adverse influences to be compensated for by the robust control scheme. Several case studies prove the robustness of the adaptive neural control scheme in highly coupled nonlinear six-degree-of-freedom mobile manipulation robotic systems. Case studies provide valuable insights and validate the efficacy of the proposed adaptive multivariable control scheme in manufacturing applications. Full article
(This article belongs to the Special Issue Advances and Trends in Mathematical Modelling, Design, Control and Identification of Modern Vibrating Energy Conversion Systems)
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23 pages, 11893 KiB  
Article
A Simplified Model for the On-Line Identification of Bearing Direct-Dynamic Parameters Based on Algebraic Identification (AI)
by Saulo Jesús Landa-Damas, Jorge Colín-Ocampo, Andrés Blanco-Ortega, Arturo Abúndez-Pliego, José Gabriel Mendoza-Larios, Luis Alberto Baltazar-Tadeo and Demetrio Pérez-Vigueras
Mathematics 2023, 11(14), 3131; https://doi.org/10.3390/math11143131 - 15 Jul 2023
Cited by 1 | Viewed by 1273
Abstract
In this paper, a mathematical model is presented to identify the direct dynamic coefficients (kxx, kzz, cxx, czz) of a pressurized bearing in a rotor-bearing system. The presented mathematical model for online identification is [...] Read more.
In this paper, a mathematical model is presented to identify the direct dynamic coefficients (kxx, kzz, cxx, czz) of a pressurized bearing in a rotor-bearing system. The presented mathematical model for online identification is the result of the application of the algebraic identification approach to a two-degree-of-freedom rotor-bearing model. The proposed identification model requires only the vibration response as the input data. The performance of the model was assessed by theoretically and experimentally testing the proposed identifier at different shaft frequencies and, for the experimental test, a pressurized bearing that has hydrodynamic and hydrostatic characteristics at a support pressure of 10 psi was considered. The working fluid is Chevron GST 32 oil. The results show negligible differences between the vibration response of the experimental rotor and those obtained numerically using the identified direct dynamic coefficients of the pressurized bearing. In addition, it is observed that the algebraic identifier determines the identified parameters in a time less than 0.2 s. The proposed identifier can be used in other types of bearings, which is a great advantage over other identifiers. Full article
(This article belongs to the Special Issue Advances and Trends in Mathematical Modelling, Design, Control and Identification of Modern Vibrating Energy Conversion Systems)
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17 pages, 1589 KiB  
Article
On the Regulation of Wind Energy Conversion Systems Working as Conventional Generation Plants
by Irvin Lopez-Garcia, Cesar S. Lopez-Monsalvo, Oscar Gomez-Gonzalez, Mauricio Sanabria-Villamizar, Francisco Beltran-Carbajal and Rafael Escarela-Perez
Mathematics 2023, 11(11), 2495; https://doi.org/10.3390/math11112495 - 29 May 2023
Cited by 2 | Viewed by 1234
Abstract
In this work, we obtain bounds for the wind speed interval in which a wind energy conversion system can be regulated in a similar manner to a conventional power generation plant. In particular, we conducted a steady-state analysis of a wind turbine coupled [...] Read more.
In this work, we obtain bounds for the wind speed interval in which a wind energy conversion system can be regulated in a similar manner to a conventional power generation plant. In particular, we conducted a steady-state analysis of a wind turbine coupled to a doubly fed induction generator (DFIG) that delivers power according to the electric grid requirements, and in a safe manner. In this sense, our main contribution is twofold. On the one hand, it involves expanding the secure operation window by adjusting the gearbox ratio, thus improving the reliability of the utility of grid integration. On the other hand, the WECS is controlled within new, safe wind speed intervals through a passivity-based controller and a proportional–integral controller, showing adequate performances in both cases. Full article
(This article belongs to the Special Issue Advances and Trends in Mathematical Modelling, Design, Control and Identification of Modern Vibrating Energy Conversion Systems)
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