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Numerical Simulation and Control in Energy Systems, 2nd Edition
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Numerical Simulation and Control in Energy Systems, 2nd Edition

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

Deadline for manuscript submissions: closed (31 January 2024) | Viewed by 5322

Special Issue Editor

Dr. Svetlana V. Solodusha

E-Mail Website
Guest Editor
Department of Applied Mathematics, Melentiev Energy Systems Institute Siberian Branch of the Russian Academy of Sciences, 664033 Irkutsk, Russia
Interests: integral equation and their applications; computational mathematics; dynamical systems; inverse problems
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

The modern development of science and technology prioritizes the design of mathematical models and methods for applications in the energy industry. This Special Issue aims to collect research papers reflecting the latest advances in the field of numerical simulation and control in power and energy systems. The range of scientific problems for the Special Issue includes current issues in the theory of mathematical modeling, identification, and control in technical energy systems. Topics of interest range from analytical and computational methods to algorithmic and applied solutions and aim to popularize new ideas, concepts, and methodologies in the description of complex energy systems. Potential topics include (but are not limited to) the following areas:

  • Models taking into account the hierarchy of energy facilities;
  • Methods of mathematical modeling, taking into account the new properties of equipment and the requirements of universality;
  • Identification methods;
  • The analysis and synthesis of control modes;
  • Numerical simulation for control systems;
  • Dynamic measurement methods for physical quantities;
  • Complex problems of intelligent modeling and control systems in the energy sector.

High-quality research and surveys reflecting the current state of affairs are welcome. Particular attention should be paid to the practical application of research results.

Dr. Svetlana V. Solodusha
Guest Editor

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

  • differential/partial differential equations
  • integral equations
  • dynamical systems
  • numerical methods
  • mathematical modeling
  • artificial intelligence methods
  • mathematical programming
  • identification and modeling of control systems
  • data processing
  • application in power and energy systems

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Published Papers (4 papers)

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Research

15 pages, 504 KiB  
Article
A Model of the Control Problem of the Thermal Effect of a Laser Beam on a Two-Layer Biomaterial
by Vanya Barseghyan and Svetlana Solodusha
Mathematics 2024, 12(3), 374; https://doi.org/10.3390/math12030374 - 24 Jan 2024
Viewed by 788
Abstract
We consider a two-layer biological object consisting of layers with different thermophysical characteristics and subjected to laser radiation. Using the method of separation of variables and methods of control theory for finite-dimensional systems, we developed a constructive approach to constructing a control function [...] Read more.
We consider a two-layer biological object consisting of layers with different thermophysical characteristics and subjected to laser radiation. Using the method of separation of variables and methods of control theory for finite-dimensional systems, we developed a constructive approach to constructing a control function for the thermal effect of a laser beam on a two-layer biomaterial. Under the controlled thermal influence of a laser beam, the distribution of the temperature state in a two-layer biomaterial transitions from the initial state to the final one during a given time period. Full article
(This article belongs to the Special Issue Numerical Simulation and Control in Energy Systems, 2nd Edition)
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29 pages, 12112 KiB  
Article
An Adaptive Inertia and Damping Control Strategy Based on Enhanced Virtual Synchronous Generator Model
by Aleksey Suvorov, Alisher Askarov, Nikolay Ruban, Vladimir Rudnik, Pavel Radko, Andrey Achitaev and Konstantin Suslov
Mathematics 2023, 11(18), 3938; https://doi.org/10.3390/math11183938 - 16 Sep 2023
Cited by 8 | Viewed by 1366
Abstract
In modern converter-dominated power systems, total inertia is very variable and depends on the share of power generated by renewable-based converter-interfaced generation (CIG) at each specific moment. As a result, the limits required by the grid codes on the rate of change of [...] Read more.
In modern converter-dominated power systems, total inertia is very variable and depends on the share of power generated by renewable-based converter-interfaced generation (CIG) at each specific moment. As a result, the limits required by the grid codes on the rate of change of frequency and its nadir or zenith during disturbances become challenging to achieve with conventional control approaches. Therefore, the transition to a novel control strategy of CIG with a grid-forming power converter is relevant. For this purpose, a control algorithm based on a virtual synchronous generator (VSG) is used, which simulates the properties and capabilities of a conventional synchronous generation. However, due to continuously changing operating conditions in converter-dominated power systems, the virtual inertia formed by VSG must be adaptive. At the same time, the efficiency of adaptive algorithms strongly depends on the used VSG structure. In this connection, this paper proposes an enhanced VSG structure for which the transfer function of the active power control loop was formed. With the help of it, the advantages over the conventional VSG structure were proven, which are necessary for the effective adaptive control of the VSG parameters. Then, the analysis of the impact of the VSG parameters on the dynamic response using the transient characteristics in the time domain was performed. Based on the results obtained, adaptive algorithms for independent control of the virtual inertia and the parameters of the VSG damper winding were developed. The performed mathematical modeling confirmed the reliable and effective operation of the developed adaptive control algorithms and the enhanced VSG structure. The theoretical and experimental results obtained in this paper indicate the need for simultaneous development and improvement of both adaptive control algorithms and VSG structures used for this purpose. Full article
(This article belongs to the Special Issue Numerical Simulation and Control in Energy Systems, 2nd Edition)
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19 pages, 951 KiB  
Article
Robust Reinforcement Learning-Based Multiple Inputs and Multiple Outputs Controller for Wind Turbines
by Nikita Tomin
Mathematics 2023, 11(14), 3242; https://doi.org/10.3390/math11143242 - 24 Jul 2023
Cited by 3 | Viewed by 1163
Abstract
The control of variable-speed wind turbines that generate electricity from the kinetic energy of the wind involves subsystems that need to be controlled simultaneously, namely, the blade pitch angle controllers and the generator torque controllers. The presented study solves the control problem with [...] Read more.
The control of variable-speed wind turbines that generate electricity from the kinetic energy of the wind involves subsystems that need to be controlled simultaneously, namely, the blade pitch angle controllers and the generator torque controllers. The presented study solves the control problem with multiple inputs and multiple outputs (MIMO), using the method of reinforcement learning–based Trust Region Policy Optimization, through which the control parameters of both subsystems are simultaneously optimized. In this case, the robust control problem is transformed into a constrained optimal control problem with an appropriate choice of value functions for the nominal system. The study aims to synthesize a robust controller, with the aim of maximizing the generated energy (power) and minimizing unwanted forces (thrust). The innovative control architecture uses an extended input space, which allows fine-tuning of parameters for each operating state. Test calculations carried out in simulation experiments using models of the 5 MW NREL wind turbine and the 4 MW Enercon E-126 EP3 wind turbine are presented to illustrate the performance and practicality of the proposed approach. Full article
(This article belongs to the Special Issue Numerical Simulation and Control in Energy Systems, 2nd Edition)
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10 pages, 599 KiB  
Article
The Problem of Boundary Control of the Thermal Process in a Rod
by Vanya Barseghyan and Svetlana Solodusha
Mathematics 2023, 11(13), 2881; https://doi.org/10.3390/math11132881 - 27 Jun 2023
Cited by 3 | Viewed by 1300
Abstract
This paper considers a rod with an insulated side surface, at the edges of which there is heat exchange with the external environment. It is assumed that the thermal process in the rod is controlled by the effect of the ambient temperature on [...] Read more.
This paper considers a rod with an insulated side surface, at the edges of which there is heat exchange with the external environment. It is assumed that the thermal process in the rod is controlled by the effect of the ambient temperature on the thermal state in the rod through its boundary temperatures. Using the technique of separation of variables and methods based on the theory of control of finite-dimensional systems, we propose a constructive approach to build the control function of the temperature conditions at the ends of the rod that change the temperature state distribution in the rod from a given initial state to a final state within a specified time interval. We have formulated the necessary and sufficient condition that the boundary control functions of the temperature modes of the rod must satisfy in order for the problem to be completely controllable under any allowable initial and final conditions. As an application of the proposed approach, we have built the temperature control functions at the ends of the rod for the first two harmonics. Full article
(This article belongs to the Special Issue Numerical Simulation and Control in Energy Systems, 2nd Edition)
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