Статті в журналах: "MATLAB MATHEMATICAL MODELS"

1

Dandwate, Ms Ankita, and Dr Prof K. B. Khanchandani. "Mathematical Models Development for Various Power Quality Disturbances in MATLAB." International Journal of Engineering Trends and Technology 11, no. 1 (May 25, 2014): 5–9. http://dx.doi.org/10.14445/22315381/ijett-v11p202.

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Mirsaitov, M., B. Abdurakhmanov, and I. Vikulov. "MODELING THE WEAR OF CONTACT STRIPS OF PANTOGRAPH USING THE MATLAB - SIMULINK TOOLS." Journal of Science and Innovative Development 4, no. 2 (April 28, 2021): 77–84. http://dx.doi.org/10.36522/2181-9637-2021-2-9.

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The article presents a mathematical model of the wear of contact strips of pantograph which is destined to define a diagnostic parameter for determining pantograph of the freight electric locomotives in the Republic of Uzbekistan. Existing mathematical models of pantograph - contact network interactions are considered in the form of multidimensional models with reduced masses. The Matlab - Simulink tools can be used for solving the mathematical models. Computer programs for solving mathematical models enable efficient calculations at high accuracy. During the simulation, the current pantograph-contact network system was considered as a twodimensional model with two degrees of freedom. The simulation results helped determine the diagnostic parameter of the “vibration acceleration” of the contact strips. Finding a diagnostic parameter is based on vibrational movements of the pantograph skid interacting with the contact network.

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Figoń, Piotr. "Mathematical models of single-phase long lines." Bulletin of the Military University of Technology 68, no. 4 (February 28, 2020): 119–37. http://dx.doi.org/10.5604/01.3001.0013.9735.

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Most simulation packages provide long line models containing only two input terminals and two output terminals. These models allow testing transient states initiated by the occurrence of interference at the ends of the line. For this reason, it is not possible to study disorders occurring at any point of the electrical network. The article describes in detail the mathematical models of the long line, their implementation in the Matlab environment and exemplary results of computer simulations. Keywords: power line, state variables, differential scheme

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Rodríguez, J., G. C. Premier, R. Dinsdale, and A. J. Guwy. "An implementation framework for wastewater treatment models requiring a minimum programming expertise." Water Science and Technology 59, no. 2 (January 1, 2009): 367–80. http://dx.doi.org/10.2166/wst.2009.870.

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Mathematical modelling in environmental biotechnology has been a traditionally difficult resource to access for researchers and students without programming expertise. The great degree of flexibility required from model implementation platforms to be suitable for research applications restricts their use to programming expert users. More user friendly software packages however do not normally incorporate the necessary flexibility for most research applications. This work presents a methodology based on Excel and Matlab-Simulink for both flexible and accessible implementation of mathematical models by researchers with and without programming expertise. The models are almost fully defined in an Excel file in which the names and values of the state variables and parameters are easily created. This information is automatically processed in Matlab to create the model structure and almost immediate model simulation, after only a minimum Matlab code definition, is possible. The framework proposed also provides programming expert researchers with a highly flexible and modifiable platform on which to base more complex model implementations. The method takes advantage of structural generalities in most mathematical models of environmental bioprocesses while enabling the integration of advanced elements (e.g. heuristic functions, correlations). The methodology has already been successfully used in a number of research studies.

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Zaitri, Mohamed A., Cristiana J. Silva, and Delfim F. M. Torres. "Stability Analysis of Delayed COVID-19 Models." Axioms 11, no. 8 (August 13, 2022): 400. http://dx.doi.org/10.3390/axioms11080400.

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We analyze mathematical models for COVID-19 with discrete time delays and vaccination. Sufficient conditions for the local stability of the endemic and disease-free equilibrium points are proved for any positive time delay. The stability results are illustrated through numerical simulations performed in MATLAB.

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Zatonskiy, Andrey, and Larisa Tugashova. "MODELLING THE QUALITY AND PRODUCTION OF PETROLEUM PRODUCTS WITH MATLAB." Applied Mathematics and Control Sciences, no. 4 (December 30, 2019): 26–42. http://dx.doi.org/10.15593/2499-9873/2019.4.02.

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The problem of control of indicators of quality of oil products on technological installations is considered. The review of methods of quality control of oil products is carried out, models for forecasting of temperatures of the beginning and the end of boiling of light oil products on oil refineries are considered. Mathematical models of indicators of quality of light oil products (temperatures of the beginning and the end of boiling) in the form of autoregressive models with external factors are received. The factors are the measured technological parameters of the refinery: temperature, flow, pressure. Models of such a structure can be used to predict the quality of light petroleum products in oil refineries. The application of clustering methods for the analysis of the range and production of petroleum products in the Federal districts is proposed. Hierarchical and iterative methods of cluster analysis are briefly described. An example of the application of cluster analysis methods for the evaluation of production and assortment is given. The article studies the task of monitoring the quality of petroleum products at process units. Review of controlling methods quality of mineral oil has been performed, models for forecast temperatures of starting and ending boiling of light oil products at refineries have been considered. Mathematical models of indicators quality of light oil products (temperatures of starting and ending boiling) in the form of autoregressive models with external factors have been obtained. Factors are measured technological parameters of oil refinery including: temperature, consumption, pressure. Models of a similar structure can be applied to forecasting quality indicators of light oil product at refineries. The application of clustering methods have been proposed for analyzing the range and production of petroleum products by federal districts. Iterative and hierarchical cluster analysis methods are briefly described. An example of application of cluster analysis methods to assess the production and range of petroleum products in federal districts over 2 years is given. Research results have been conducted using the MATLAB software package are presented. The obtained results can be used in the analysis of the range of petroleum products of primary and destructive refining within large territorial units. The possibility of forecasting the production of petroleum products using multiplicative models has been considered. Models with different seasonal components and trend types have been proposed. The stages of building a mathematical model have been given. According to statistical data on the development of motor gasoline over 5 years, mathematical models of a time series have been built using the example of the Russian Federation. The quality of modeling has been assessed using the obtained models according to the average relative error. According to the obtained model of production of automobile gasoline, a post-forecast has been built with a forecasting horizon of 1 year. The average relative error of post-prognosis of the Russian Federation does not exceed 5 %, in federal districts – 12 %. Models can be used to predict the production of light petroleum products in the federal districts of the Russian Federation.

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Rahmatullah, Rohullah, Necibe Fusun Oyman Serteller, and Vedat Topuz. "Modeling and Simulation of Faulty Induction Motor in DQ Reference Frame Using MATLAB/SIMULINK with MATLAB/GUIDE for Educational Purpose." International Journal of Education and Information Technologies 17 (March 13, 2023): 7–20. http://dx.doi.org/10.46300/9109.2023.17.2.

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Owing to their robust structure, induction motors are preferred to be used under difficult working conditions. Therefore, various faults may occur in the motor due to unexpected forces during the operations. Obtaining the data through experimental methods by physically creating faults in the induction motors, and analyzing their behavior is not efficient in terms of cost and time for educational purposes. Considering the above negative situation, in this paper, mathematical models have been developed in the dq0 stationary reference frame expressing three-phase stator windings short-circuit fault and broken rotor bar fault in induction motors. The proposed models are faster as compared to the other analytical models in terms of computation due to the rotor position independence of the inductance matrix. The faulty induction motor mathematical models have been implemented in the MATLAB/SIMULINK software environment with detailed explanations of each faulty model’s subsystem. As a visual laboratory that can be used as an educational tool for the analysis of a three-phase faulty induction motor, a graphical user interface application has been developed in MATLAB/GUIDE, which allows users to simulate models from a single interface. As a case study, the behaviors of faulty induction motors in transient and steady states have been simulated in different severity scenarios of the faults. The park vector method has been used as a fault diagnosis approach to investigate fault types and the fault severity effects on the park vector pattern in each fault scenario. In addition, to observe the success of the developed Simulink toolboxes, they were used at Marmara University through courses in electrical machinery and evaluated by the graduated students at the end of the semester.

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8

Qian, Yu, Yi Cao, Yuan Wei Liu, and Hui Zhou. "Forward Kinematics Simulation Analysis of Slider-Crank Mechanism." Advanced Materials Research 308-310 (August 2011): 1855–59. http://dx.doi.org/10.4028/www.scientific.net/amr.308-310.1855.

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This paper mainly addressed the kinematics simulation of the Slider-Crank mechanism. After proposing a mathematical model for the forward displacement of the slider-crank mechanism, the mathematical models for the forward velocity and acceleration of the slider-crank mechanism are constructed, respectively and the simulation models for the forward kinematics of the slider-crank mechanism are constituted in the Matlab/Simulink simulation platform. Finally the forward kinematics simulation of the slider-crank mechanism was successfully accomplished based on Matlab/Simulink. Examples of the simulation for the forward kinematics of a slider-crank mechanism are given to demonstrate the above-mentioned theoretical results.

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9

Choez Franco, Katherine Elizabeth, Miguel Angel Lema Carrera, and Veronica Cristina Andrade Yucailla. "Mathematical models and digital image processing for the determination of goat milk production." Universidad Ciencia y Tecnología 27, no. 119 (May 27, 2023): 99–107. http://dx.doi.org/10.47460/uct.v27i119.711.

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To develop an application in MATLAB to help the producer select dairy goats, two data processing techniques were used; mathematical profiling and digital image processing. Ten (10) lactating goats were sampled, and data were collected for 60 days, divided into three periods: initial, middle, and final lactation. Photographs were taken directly from the udder at a distance of 50 cm horizontally, and a height of 60 cm, and the main udder measurements were taken. A database was created with the photographic information and processed in GeoGebra and MATLAB software to estimate udder volumes. The results showed that there is no statistical significance between the methods used to calculate udder size (P>0.05), and the best mathematical model that related the variables studied was the polynomial model of degree 6 (R²=0.881).

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10

Radu, Petru Valentin. "Modeling of the energy storage devices for the evaluation of the energy efficiency in the electric transport." AUTOBUSY – Technika, Eksploatacja, Systemy Transportowe 19, no. 6 (June 30, 2018): 22–28. http://dx.doi.org/10.24136/atest.2018.031.

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The purpose of the article is to present mathematical models of energy storage devices with supercapacitors and accumulators. To control the energy storage device, it was proposed to use DC/DC buck/boost invertors and mathematical models are presented. The article gives example of simulation results of the proposed model of energy storage devices simulated in Matlab/Simulink.

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11

Lyashenko, Viktor, Elena Kobilskaya, and Tetiana Nabok. "APPLICATION OF MATHEMATICS SOFTWARE FOR SOLVING APPLIED PROBLEMS." Transactions of Kremenchuk Mykhailo Ostrohradskyi National University, no. 3(128) (June 11, 2021): 11–16. http://dx.doi.org/10.30929/1995-0519.2021.3.11-16.

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Purpose. To show the possibilities of using mathematics software in solving problems arising in the construction of mathematical models of various processes and, thus, to reveal the importance of realizing the professional orientation of the mathematical training of students of natural and engineering specialties. Methodology. A number of mathematical models that are presented in the form of a Cauchy problem for a common first-order differential equation are considered in this paper. Mathematical models considered in this paper describe chemical and ecological processes. Euler's numerical method is used to solve the problems that describe the proposed models. This method is implemented in special mathematical software (Mathcad, Matlab). Findings. It is shown how the use of special functions designed to solve the Cauchy problem solves the problems proposed in mathematical models. Graphs are built in Mathcad and Matlab, including graphs that can be used to compare analytical and numerical solutions of problems obtained by Euler's method. Originality. The paper concludes that mathematical models of many technological and physical processes in different industries can be represented by the Cauchy problem for a common differential equation. Practical value. The considered mathematical models show the importance of realization of professional orientation of mathematical training of students of natural and engineering specialties. Conclusions. Mathematical modeling allows you to study and evaluate various processes (physical, economic, environmental), and therefore knowledge of the basics of modeling and special mathematical software is very important in the training of modern specialists in various specialties. The problems presented in the article are used in teaching the courses of numerical methods and computer mathematics in the study of the topic «Numerical Solution of Differential Equations». References 10, tables 2, figures 9.

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12

Qu, Qiuhui. "Application of MATLAB in signal and system." SHS Web of Conferences 145 (2022): 01029. http://dx.doi.org/10.1051/shsconf/202214501029.

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Signal and system course is an important professional basic course for electronic information and communication majors. Signal and system are abstract concepts, which are described by mathematical models. In daily life, simple signals can be calculated or drawn manually, but complex signals are difficult to be accurately processed. Matlab contains graphics processing and symbol operation functions, which provides us with powerful tools to solve the above problems. This paper will introduce how to use Matlab to express, calculate and process signals, and realize the systematic analysis of signals.

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13

Kalizhanova, Aliya, Murat Kunelbayev, Ainur Kozbakova, Zhalau Aitkulov, and Zhassulan Orazbekov. "Development of Mathematical and Computer Models of Fiber-optic Sensors, Based on Periodic Bragg Structures." International Journal of Mechanics 16 (April 5, 2022): 28–36. http://dx.doi.org/10.46300/9104.2022.16.4.

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In the article there have been considered the issues of mathematical and computer modeling of fiber Bragg granting’s, using the method of transfer matrix. Method of transfer matrix allows specify the spectral characteristics of optical components, based on theory of bound modes and matrix description of electromagnetic wave, passing through optic fiber. There have been analyzed fiber Bragg granting’s with different lengths in accordance with spectral characteristics, such as, transmittance and reflection spectra. As well, there was carried out the experiment with influence of various parameters at fiber Bragg granting’s spectral characteristics. Fiber Bragg granting’s spectral characteristics were studied and optimal grating parameters were selected for developing the fiber-optic sensors, based on fiber Bragg granting’s. Developed and studied a computer model of flow-diagram of communication modes theory and Transfer Matrix Method. From the studied model it might be noticed, that in MATLAB software, selected for modeling, were formed for implementation into the MATLAB code. As well, in MATLAB software there were used fiber Bragg granting’s principal features and selected for studying influence of external factors, such as deformation, strain and temperature at FBG sensor’s reflection spectrum.

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Shishkin, V. A., E. P. Rybalkin, and A. I. Sotnik. "Some approaches to mathematics modeling of pome crops yielding ability." Bulletin of the State Nikitsky Botanical Gardens, no. 133 (December 18, 2019): 207–11. http://dx.doi.org/10.36305/0513-1634-2019-133-207-211.

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The analysis of methods of mathematical modeling of pome crops on the example of studying 5 varietal samples of pears, taking into account the factors affecting the yielding ability. 15 main factors were considered, such as: maximum, minimum and average temperatures, relative humidity, incidence of chlorosis, drought resistance, morphological characteristics. Mathematical analysis with the construction of mathematical models was carried out using the software package Matlab. As a result, mathematical models characterizing the influence of both individual and multiple factors on the yielding ability of pear cultivars were obtained.

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Ghimire, Sushil, R. P. Ghimire, and Gyan Bahadur Thapa. "Mathematical Models of Mb/M/1 Bulk Arrival Queueing System." Journal of the Institute of Engineering 10, no. 1 (August 3, 2014): 184–91. http://dx.doi.org/10.3126/jie.v10i1.10899.

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This paper deals with the study of bulk queueing model with the fixed batch size ‘b’ and customers arrive to the system with Poisson fashion with the rate λ and are severed exponentially with the rate μ. On formulating the mathematical model, we obtain the expressions for mean waiting time in the queue, mean time spent in the system, mean number of customers/work pieces in the queue and in the system by using generating function method. Some numerical illustrations are also obtained by using MATLAB-7 so as to show the applicability of the model under study.DOI: http://dx.doi.org/10.3126/jie.v10i1.10899Journal of the Institute of Engineering, Vol. 10, No. 1, 2014, pp. 184–191

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Vorontsova, Valeriya Leonidovna, Alfiya Gizzetdinovna Bagoutdinova, and Almaz Fernandovich Gilemzianov. "Mathematical Models of the Ocurved Spring Tubes Surfaces." Journal of Computational and Theoretical Nanoscience 16, no. 11 (November 1, 2019): 4554–59. http://dx.doi.org/10.1166/jctn.2019.8353.

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One of the ways to intensify heat exchange processes is the creation of compact heat exchangers with a developed heat exchange surface. It is known that coil-type channels provide a developed heat exchange surface and belong to one of the most efficient and technological designs of heat exchange elements. In this regard, the authors proposed a small-size heat exchanger of the “pipe in pipe” type with an internal coil spring-twisted channel, and the authors of the proposed article developed mathematical models describing the heat-exchange surfaces of pipes of complex configurations, including coil spring-coiled channels. The equations of heat transfer surfaces are written in vector-parametric form based on the fundamental principles of analytical and differential geometry. In order to verify the adequacy and visualization of the written equations, surfaces were constructed using the Matlab application software package. The proposed mathematical models can be used in computer simulation of hydrodynamic processes during the flow of liquid media in curved channels, which will allow to explore and further optimize their internal geometry by changing the parameters of the equations. This work is a continuation of research on the creation of efficient heat exchangers.

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TURCANU, Alexandru, and Leonard Călin Valentin DOBRE. "MODELAREA ÎN MATLAB/SIMULINK A FUNCȚIONĂRII UNUI VEHICUL ELECTRIC ÎN DIFERITE CICLURI DE ACȚIONARE." "ACTUALITĂŢI ŞI PERSPECTIVE ÎN DOMENIUL MAŞINILOR ELECTRICE (ELECTRIC MACHINES, MATERIALS AND DRIVES - PRESENT AND TRENDS)" 2020, no. 1 (February 10, 2021): 1–13. http://dx.doi.org/10.36801/apme.2020.1.3.

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Through this paper, we want to improve the methods of dynamic design of electric vehicles, by creating simulation models in Simulink. The models are represented by simulation schemes that consist of blocks of mathematical operators, interconnected based on mathematical calculation formulas. The initial input sizes, specified in Table 1, can be easily modified, giving the possibility to obtain several models for different design ideas. The results of the simulations are materialized in graphical diagrams and provide virtual time data on vehicle speed, acceleration, engine torque, wheel power, energy consumed, and distance traveled. In the first simulation scheme, the input variable shows a motor torque generator with values between 0-132 Nm. In the second simulation scheme, the input variable is speed, according to the ECE-15 urban cycle scenario.

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Radhika, A. J. V., S. V. S. Girija, and A. V. Dattatreya Rao. "On rising Sun von mises and rising Sun wrapped cauchy circular models." Journal of Applied Mathematics, Statistics and Informatics 9, no. 2 (December 1, 2013): 41–55. http://dx.doi.org/10.2478/jamsi-2013-0011.

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Abstract By applying wrapping (Dattatreya Rao et al (2007)), offsetting (Girija et al (2013 and Radhika et al (2013)) and stereographic projection (Phani et al (2012)) have constructed circular models. Further the circular models based on the Rising Sun function are motivated by purely mathematical considerations as a smoothing function and possible application. This work takes a further step in this direction using several mathematical tools such as Real Analysis along with MATLAB and are applied to enlarge the horizon of Mathematical Statistics. Here an attempt is made to construct new circular models using the Rising Sun function and also the circular rising sun lemma is proposed

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19

Yu, Jianxi. "Indifference Computer Experiment for Mathematical Identification of Two Variables." Wireless Communications and Mobile Computing 2022 (July 29, 2022): 1–7. http://dx.doi.org/10.1155/2022/9181840.

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In order to understand the two types of nonlinear differential equation problems in engineering dynamics, the author proposes a numerical analysis method for the two types of nonlinear differential equations based on computer simulation. This method establishes the MATLAB algorithm structure of the numerical solution of the fourth-order fixed-step Runge-Kutta and Lorenz models, discusses the error control in the case of variable step size, and plots the numerical solutions of the Lorenz system based on MATLAB in two-dimensional and three-dimensional space graphics. The x -direction displacement and y -direction displacement data are extracted from the Lorenz equation as iterative samples of the model, the regression curve obtained after iteration has a slope of 0.996, and the iterative regression model reflects the basic characteristics of the data well. This method presents the basic idea of numerical solution verification within acceptable error limits. For solving engineering problems with differential equations as mathematical models, an effective numerical solution method is provided, and further discussion on the numerical solutions of partial differential equations is of great significance.

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Lin, Xiaoyu, and Yingxu Wang. "Simulation and Visualization of Concept Algebra in MATLAB." International Journal of Software Science and Computational Intelligence 6, no. 1 (January 2014): 30–55. http://dx.doi.org/10.4018/ijssci.2014010103.

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Concept algebra (CA) is a denotational mathematics for formal knowledge manipulation and natural language processing. In order to explicitly demonstrate the mathematical models of formal concepts and their algebraic operations in CA, a simulation and visualization software is developed in the MATLAB environment known as the Visual Simulator of Concept Algebra (VSCA). This paper presents the design and implementation of VSCA and the theories underpinning its development. Visual simulations for the sets of reproductive and compositional operations of CA are demonstrated by real-world examples throughout the elaborations of CA and VSCA.

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Yadav, Rahul. "Finite Element Analysis using MATLAB." International Journal for Research in Applied Science and Engineering Technology 10, no. 1 (January 31, 2022): 764–69. http://dx.doi.org/10.22214/ijraset.2022.39902.

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Abstract: Finite Element Analysis or FEA is the simulation of a physical phenomenon using a numerical mathematic technique referred to as the Finite Element Method or FEM. This process is at the core of mechanical engineering, as well as a variety of other disciplines. It also is one of the key principles used in the development of simulation software. Engineers can use these FEM to reduce the number of physical prototypes and run virtual experiments to optimize their designs. Finite Element Analysis is used in various fields like structural, fluid flow, heat transfer to estimate the behavior of a component in real environment. There now exists growing body of knowledge connected with the development of mathematical models and numerical simulations of physical model. There are various software packages like Ansys, OptiStruct, COMSOL, Solidworks and many more which provide a close estimate in simulation models. Apart from these software MATLAB also has a Partial Differential Equation (PDE) toolbox which enables us to perform these simulations using some built-in functions and codes. However, a computational numerical technique is not an end of design rather it just provides a great estimate of the final component for which the results are only as good as the input provided and the final component in most of the cases require a physical testing in environment which it is meant to perform as a validation. Keywords: Brake pedal, MATLAB, Partial differential equation (PDE) toolbox, Tetrahedral mesh.

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Sherstneva, Alina A., and Olga G. Sherstneva. "IDENTIFICATION OF AN AUTOREGRESSIVE PROCESS USING MATLAB." T-Comm 15, no. 7 (2021): 34–38. http://dx.doi.org/10.36724/2072-8735-2021-15-7-34-38.

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The article aims to apply the methods of regression analysis in estimation task the reliability indicators of an infocommunication system and data trend forecasting. The task of assessment the reliability indicators of infocommunication systems is based, traditionally, on statistical data, the collection and processing is carried out by monitoring system. To obtain the calculated indicators as close as possible to the real practical results it is necessary to process a large number of measurements. In this sense, the theory of filtration is widely used in various estimation problems. It allows to support the possibility of effective solution of technical issues and implementation through mathematical modeling programs. The article is aimed to consider the issues of data trend forecasting for parameters calculation of infocommunication systems. One of the most effective solutions is the use of regression analysis methods. The research gives development and analysis of mathematical and program models. Based on theoretical calculations, methods for solving the problem are determined and experimental research are carried out. The article solves the problem of identifying an autoregressive process through the Yule-Walker equations. In addition to theoretical calculations, a program has been developed that allows handle the process of calculations in the Matlab environment. As a result, it is proposed to compare the results of identification time series of variables through the Yule-Walker system with the classical parameter estimation by the least squares method. The results are shown graphically.

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Babák, Libor, P. Šupinová, and R. Burdychová. "Growth models of Thermus aquaticus and Thermus scotoductus." Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis 60, no. 5 (2012): 19–26. http://dx.doi.org/10.11118/actaun201260050019.

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Members of the genusThermusfamily are signifiant producers of secondary metabolites, which are very commonly used in industry. Beside the productivity, it is also important to study the growth curve of each strain. The mathematical models which are commonly used to describe behavior of microbial strains under different physical and chemical conditions can reduce measured data.In this study, the mathematical models which describe only the microbial count were used. For analysis, Verhulst model, von Bertalanffy model and Richards model were chosen.During the cultivation ofThermus aquaticusandThermus scotoductusstrains, optical density (OD) and concentration of microorganisms were measured. The mathematical models were fitted to experimental data. The fitting was made in program MATLAB. The coefficients of models and statistical evaluation of goodness of fit of models were identified from mathematical analyses. Graphs of individual models were plotted with prediction bounds. 95% confidence levels were used to statistical evaluation of goodness of fit of models and prediction bounds.Richards model was evaluted as the most corresponding with experimental data. Similar results were reached using Verhulst model. Von Bertalanffy model was not coresponded with experimental data.

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Sisodia, Neha, and Ravi Gor. "A STUDY OF OPTION PRICING MODELS WITH DISTINCT INTEREST RATES." International Journal of Engineering Science Technologies 6, no. 2 (May 5, 2022): 90–104. http://dx.doi.org/10.29121/ijoest.v6.i2.2022.310.

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This paper analyses the effect of different interest rates on Black-Scholes’ and Heston Option Pricing Model. We discuss the concept of interest rate in the two Models. We compare the two models for the parameter –‘Interest Rate’. A mathematical tool, UMBRAE (Unscaled Mean Bounded Relative Absolute Error) is used to compare the two models for pricing European call options. NSE (National Stock Exchange) is used for real market data and comparison is done through Moneyness (which is defined as the percentage difference of stock price and strike price) and Time-To-Maturity. Mathematical software – Matlab is used for all mathematical calculations. We observe that Black-Scholes’ model is preferred for lower interest rates than Heston options pricing model and vice-versa. This study is helpful in derivatives market.

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Chen, Yun Yun, Zhan Feng Ying, Jun Ji Wu, and Si Kun Heng. "Research on the Output Characteristics of Different PV Array Models." Advanced Materials Research 512-515 (May 2012): 155–58. http://dx.doi.org/10.4028/www.scientific.net/amr.512-515.155.

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The simulation of the output characteristics of PV array is the problem to be solved firstly of the maximum power point tracking technology simulation of PV array. At present, there are three methods of PV array mathematical model building at home and abroad, but there aren’t comparative studies of their simulation effect to PV array. This paper analyses the three methods and carries out the simulation for them by MATLAB/Simulink platform. Finally, with comparing the simulation results of them, their simulation effect are basically identical, but the first mathematical model is more simple and is more helpful for the researchers to read and analyse.

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Souza, Fernando, and Adolfo Maia Jr. "A Mathematical, Graphical and Visual Approach to Granular Synthesis Composition." Revista Vórtex 9, no. 2 (December 10, 2021): 1–27. http://dx.doi.org/10.33871/23179937.2021.9.2.4.

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We show a method for Granular Synthesis Composition based on a mathematical modeling for the musical gesture. Each gesture is drawn as a curve generated from a particular mathematical model (or function) and coded as a MATLAB script. The gestures can be deterministic through defining mathematical time functions, hand free drawn, or even randomly generated. This parametric information of gestures is interpreted through OSC messages by a granular synthesizer (Granular Streamer). The musical composition is then realized with the models (scripts) written in MATLAB and exported to a graphical score (Granular Score). The method is amenable to allow statistical analysis of the granular sound streams and the final music composition. We also offer a way to create granular streams based on correlated pair of grains parameters.

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Jiang, Ling. "Application of MATLAB-Based Regression Analysis Model in Enterprises." Applied Mechanics and Materials 328 (June 2013): 239–43. http://dx.doi.org/10.4028/www.scientific.net/amm.328.239.

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Prediction analysis is the prerequisite and basis of decision-making. Regression analysis is one of quantitative forecasting methods for prediction and forecasting of the variable change based on causality. Regression analysis can be adopted to build mathematical models for prediction analysis for the product output and cost, the product sales, the economic benefits of every product line, etc. This paper studies the enterprises production and business operation activities by using linear regression analysis method, with some practical examples to illustrate the solution with application of MATLAB software.

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Saipan Saipol, Hafizah Farhah, and Norma Alias. "Numerical simulation of DIC drying process on matlab distributed computing server." Indonesian Journal of Electrical Engineering and Computer Science 20, no. 1 (October 1, 2020): 338. http://dx.doi.org/10.11591/ijeecs.v20.i1.pp338-346.

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Instant controlled pressure drop, also known as DIC, is one of the drying techniques that has been used for texturing, extracting and drying various food products. Mathematical model has been used to explain the drying process, although most of the studies focused on the statistical regression model approach. Due to the limitations of regression model, which neglects the fundamental of dehydration process, this paper presents the development of mathematical models to detect, solve and visualize the three-dimensional (3D) heat and mass transfer in DIC drying process. Finite Difference Method (FDM) with central difference formula is used to discretize the mathematical models. A large sparse of system of linear equation (SLE), which represents the actual drying process, is solved by using some numerical methods, such as Jacobi (JB), Red Black Gauss Seidel (RBGS), Alternating Group Explicit with Douglas (AGED) and Brian (AGEB) methods. Based on the numerical results, high execution time and high computational complexity have been shown. In order to reduce the execution time and computational complexity, the parallel algorithm based on domain decomposition technique has been implemented on the MATLAB Distributed Computing Server (MDCS). The parallel algorithm of the numerical methods was evaluated and compared based on the parallel performance metrics: execution time, speed up, efficiency, effectiveness, temporal performance and granularity. From the parallel performance metrics, it was found that the PAGEB approach had better performance, followed by PAGED, PRBGS and PJB methods.

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Yahya, Ibtihag, Razan Atif, Lina Ahmed, Tahleel Salah Eldeen, Akram Omara, and Megdi Eltayeb. "Polymeric Nanoparticles as Drug Delivery Systems for Controlled Release." Advanced Science, Engineering and Medicine 12, no. 2 (February 1, 2020): 263–70. http://dx.doi.org/10.1166/asem.2020.2495.

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This study focuses on providing a comparative mathematical analysis of drug release from polymeric nanoparticle with different structures to allow in silico prediction of the appropriate and optimal model that applies to the whole drug release and not limited to a part of the process. The drug release data from nanoparticles have been applied using MATLAB software to apply mathematical models such as Zero-order, First-order, Higuchi, Hixson–Crowell, Korsmeyer-Peppas models besides a proposed model called Tanh function. This study results highlight the usefulness of mathematical models, key findings emerge that the Tanh model and First-order model gave the best fits of the parameters data as both model's plots showed high linear correlation (R2 = 0.9781, 0.9448) respectively. Finally, this study concludes that both proposed Tanh function and First-order model shows better performance, giving good results and can be successfully used to characterize drug and applied for prolonged drugs release.

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Zhou, Zhi Zun, Jing Ding, and Yan Fang Yang. "Modelling and Simulation Radial and Tangential Dipoles of Human Head Local Field Potentials." Applied Mechanics and Materials 140 (November 2011): 172–77. http://dx.doi.org/10.4028/www.scientific.net/amm.140.172.

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The mathematical tangential and radial dipole models were constructed. Dipoles can be use to answer if any special electrical and magnetic patterns exist in human head, and also use them to reveal many other magic phenomena of head nero-system. Construct of a mathematical models of the electric potentials. Use validation of the mathematical model and interrogation of the validated model to determine what sort of dipole separation would produce patterns. Our models were simulated by using MATLAB. Simulation clearly show that those tangential and radial dipole models reflected real dipoles physical and electrical characteristic of them. Those models show that even with spatial filtering, the electrode array can not be more than 4.5 mm above the surface of the cortex for the sorts of patterns we are looking for to be resolved.

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31

MOROZ, LUBOV IGOREVNA, and ANNA GENNADIEVNA MASLOVSKAYA. "MATHEMATICAL MODELS OF FERNETOELECTRIC POLARIZATION CHARACTERISTICS DESCRIBED WITHIN THE FRAMEWORK OF THE LANDAU - GINZBURG - DEVONSHIER THEORY." Messenger AmSU, no. 95 (2021): 12–20. http://dx.doi.org/10.22250/jasu.95.2.

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The paper presents the overview and implementation of mathematical models of ferroelectric polarization characteristics within the framework of the Landau - Ginzburg theory. Mathematical models of polarization switching in ferroelectrics are formalized by means of several types of differential problems. Based on difference methods the computational schemes are constructed for various modifications of the Landau - Khalatnikov model. Numerical simulation of the polarization hysteresis in ferroelectrics with the first-order phase transition is performed. The computational results obtained in Matlab are compared with the experimental data.

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32

Kebbati, Y., P. S. Allaume, and Y. Bennani. "Memristor, Memcapacitor, Meminductor : Models and Experimental Circuit Emulators." Engineering, Technology & Applied Science Research 12, no. 3 (June 6, 2022): 8683–87. http://dx.doi.org/10.48084/etasr.4882.

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Before 1971, the number of passive electrical components was limited to three: resistor, capacitor, and inductor. In 1971, Pr. Chua predicted the existence of a fourth element, called memristor, since it corresponds to a resistor with memory behavior. Several years later, the concept of memory circuit was extended to capacitors and inductors. This paper proposes mathematical models for mem-elements, validated by Matlab and experimental circuit emulators for memcapacitor and meminductor. The experimental results show a good fit between theory, Ltspice simulations, and emulation circuits.

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33

BUCUR, Amelia. "SOME ASPECTS ABOUT MATHEMATICAL MODELING FOR EPIDEMIC MANAGEMENT." Management of Sustainable Development 13, no. 2 (December 1, 2021): 19–28. http://dx.doi.org/10.54989/msd-2021-0012.

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The mathematical study of epidemics and their management has been performed for many years, however, in the last few years, new models have been published. Public health is considered very important and has to be monitored, as it is permanently under risk due to the appearance of even more types of microorganisms. Compartmental models, such as exponential models, SI, SIS, SIR, SEIRS, SEIAR, MESIR models, other generalized SIR models were and still are remarkable for studying the spread of an epidemic and for their simulations in software such as MATLAB, Maple, GLEAMviz, etc. The paper has two main objectives: a. to present new simulations in Maple and GLEAMviz for the spread of COVID-19; b. to suggest a generalization of the SIR model for analyzing the spread of COVID-19 and a simulation of it in GLEAMviz. The conclusions are that, generally, mathematical models show a value of a reproduction threshold, which can be used to forecast whether the pandemic is the increasing or decreasing phase, and that mathematical models and simulations in various programs facilitate the improvement of methods of analysis of an epidemic situation and the management of the public health system.

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Novash, I. V., F. A. Romaniuk, Yu V. Rumiantsev, and V. Yu Rumiantsev. "MATLAB-SIMULINK BASED INFORMATION SUPPORT FOR DIGITAL OVERCURRENT PROTECTION TEST SETS." ENERGETIKA. Proceedings of CIS higher education institutions and power engineering associations 60, no. 4 (July 7, 2017): 291–308. http://dx.doi.org/10.21122/1029-7448-2017-60-4-291-308.

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The implementation of information support for PC-based and hardware-software based sets for digital overcurrent protection devices and their models testing using MatLab-Simulink environment is considered. It is demonstrated that the mathematical modeling of a part of the power system – viz. of the generalized electric power object – could be based on rigid and flexible models. Rigid models implemented on the basis of mathematical description of electrical and magnetic circuits of a power system can be considered as a reference model for the simulation results that have been obtained with the aid of another simulation system to be compared with. It is proposed to implement flexible models for generalized electric power object in the MatLabSimulink environment that includes the SimPowerSystems component library targeted to power system modeling. The features of the parameters calculation of the SimPowerSystems component library blocks that the power system model is formed of are considered. Out of the Simulink standard blocks the models of a wye-connected current transformers were composed as well as the digital overcurrent protection, missing in the component library. A comparison of simulation results of one and the same generalized electric power object implemented in various PC-based software packages was undertaken. The divergence of simulation results did not exceed 3 %; the latter allows us to recommend the MatLab-Simulink environment for information support creation for hardware-software based sets for digital overcurrent protection devices testing. The structure of the hardware-software based set for digital overcurrent protection device testing using the Omicron CMC 356 has been suggested. Time to trip comparison between the real digital protection device МР 801 and the model with the parameters which are exactly match the parameters of the prototype device was carried out using the identical test inputs. The results of the tests demonstrated a close coincidence of results (the divergence of not more than 8 %), that confirms the possibility of using the suggested hardware-software based test set during the development and debugging of new digital relay protection devices.

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35

Lezner, Jevgenij. "STATOR WINDINGS CURRENTS HARMONICS OF INDUCTION MOTOR, WHICH CONTROL FREQUANCY CONVERTER / DAŽNIO KEITIKLIU VALDOMO TRIFAZIO ASINCHRONINIO VARIKLIO STATORIAUS APVIJŲ SROVIŲ HARMONINĖS SUDĖTIES TYRIMAS." Mokslas - Lietuvos ateitis 3, no. 1 (August 22, 2011): 91–95. http://dx.doi.org/10.3846/mla.2011.019.

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Paper presents examination of induction motor stator windings currents harmonics, when modulation index and carrier frequency are changed. Mathematical model of symmetrical induction motor connected as star without zero wire is developed. Matlab Simulink models are created and tested.

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36

Govinda Kumar, E., B. Shiva ram, U. B.Deepak, and G. Sabarinathan. "The Quadruple Tank Process with an Interaction : A Mathematical Model." International Journal of Engineering & Technology 7, no. 2.24 (April 25, 2018): 172. http://dx.doi.org/10.14419/ijet.v7i2.24.12024.

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This paper dealt that, the quadruple tanks process with an interaction, which is consisting of four interconnected tanks and included with an interaction of bottom two tanks. The mathematical model of quadruple tankwith interaction is developed throughminimum phase and non-minimum phase by changing a valve position. It described clearly about the mathematical modeling of quadruple-tanks process with an interaction, which is obtained based on minimum and non-minimum characteristics. The obtained process transfer function models are validated using MATLAB simulation. The obtained transfer function models are used to further control and analysis of the same problem.

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37

Deshko, Valeriі, Inna Bilous, Dmytro Biriukov, and Olena Yatsenko. "Transient Energy Models of Housing Facilities Operation." Rocznik Ochrona Środowiska 23 (2021): 539–51. http://dx.doi.org/10.54740/ros.2021.038.

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Buildings are the main consumer of energy resources in the total energy balance of the countries in Central and Eastern Europe, the main energy consumption is allocated for heating. Efficient use of energy resources for heating needs to a large extent depends on the efficiency of regulation of heating systems. In the article, dynamic mathematical models of a two-room typical apartment in Ukraine, built in 2016, were developed in Matlab and EnergyPlus software environment. The simulations were carried out using IWEC hourly climate data for the city of Kyiv. The results of simulations of thermal energy consumption in Matlab are characterized by a larger range of fluctuations of the heating system load, which is typical for the real operating conditions of the system with the controller of ON/OFF type. In EnergyPlus it is assumed that the gas boiler operates continuously in the ON mode. In the research, the change of load on the apartment heating system was studied at different numbers and locations of air temperature control sensors installation, according to which the controller of the autonomous gas boiler operates.

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38

Abu Talib, Manar. "Quality in Use Analysis to Evaluate User Experience of Open Source Software Compatible with MATLAB." International Journal of Open Source Software and Processes 7, no. 3 (July 2016): 1–19. http://dx.doi.org/10.4018/ijossp.2016070101.

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Mathematical and statistical open source software (OSS) has played a vital and positive role in computing statistics, performing numerical computations, and solving for real and complex scalars. There is an enormous need to apply quality models to this type of software. In this paper, we present an inclusive set of current quality models and demonstrate their application to OSS. As very little research has been carried out on the quality in use assessment of mathematical software, this work investigates the application of the quality in use model inspired by ISO/IEC 25010 on three OSS products: Scilab, R-Language, and GNU Octave. We can confidently state that Scilab, R-Language, and GNU Octave perform similarly in terms of effectiveness, efficiency, productivity, and cognitive load. However, Scilab outperforms GNU Octave slightly when it comes to error safety.

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39

Maruf, Aminu A., and Samuel O. Igbinovia. "Cost – Power Modeling of Kainji Hydro Scheme Units Using MATLAB." Advanced Materials Research 824 (September 2013): 527–31. http://dx.doi.org/10.4028/www.scientific.net/amr.824.527.

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Mathematical Models which describe the behavior of the units in Kainji hydro scheme in terms of the cost of generation as a function of power generated were developed in this work. Data including monthly operating costs in Naira (), corresponding monthly power in Megawatt (MW) and energy in Megawatt hour (MWh) contributed by each unit for the year 2008, due to data availability, was collected from the power plant. Using MATLAB environment, the objective function of each unit was modeled in terms of generation cost (/hr) as a function of power (MW) generated per unit.

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Makhova, Larisa, Mark Haykin, Irina Glazkova, and Olga Domnina. "Development of Mathematical Models for Trucks and Cargo." Infrastructures 8, no. 2 (January 28, 2023): 17. http://dx.doi.org/10.3390/infrastructures8020017.

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International trade allows countries to expand their markets and access goods and services that otherwise may not have been domestically available. As a result of international trade, the market is more competitive. This ultimately results in more competitive pricing and brings a cheaper product home to the consumer. The development of mathematical models to optimize the delivery of goods using a limited number of trucks is an urgent task for researchers around the world. The research goal was to use a developed mathematical model that allows one to optimize the performance of transportation tasks based on the selected parameters, both in terms of a particular truck and a fleet of trucks in the Russian region. The parameters (function, condition, cost, time, and quality) were set and an algorithm for the process of matching a specific truck and cargo was developed as part of the unit transportation task. A mathematical model has been developed for performing multiple freight tasks and operating a fleet of trucks, which considering such factors as cost, time, quality, and reputation, allows one to find an acceptable solution for a specific transportation task. A mathematical model was developed that considers such factors as cost, time, quality, and reputation, allowing one to find an acceptable solution for a particular transportation task. The simulation was performed in MATLAB 2018. The parameters of the simulations were a population size of 300, a maximum number of iterations of 2000, and a probability of selection of 0.85. From the 30 runs, the optional value was chosen as the best solution. The developed mathematical models have been tested for solving single and multiple transport problems under truck fleet simulation conditions. The results of the work can be used to optimize the operation of truck fleets in the Russian Federation and other countries.

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41

Rat, C. L., C. Ichim-Burlacu, and D. A. Bistrian. "Optimizing the operation of photovoltaic panels using mathematical regression models." Journal of Physics: Conference Series 2540, no. 1 (July 1, 2023): 012004. http://dx.doi.org/10.1088/1742-6596/2540/1/012004.

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Abstract Solar (PV) panel models are necessary for the implementation of solar panel control algorithms such as maximum power point tracking. If real-time control is required, these models will be used on microcontrollers and, therefore, will be subject to constraints of memory and execution time: the model implemented on the microcontroller must occupy a memory area as small as possible and the mathematical relationships it contains can be computed in the shortest possible time. Analytical models usually do not fit this criteria, therefore searching for equivalent models which do fit it is required. In this paper, equivalent mathematical models are determined in the MATLAB programming environment based on data obtained by simulating an analytical model in the LabVIEW programming environment. In this paper, the models were obtained by modeling the current distribution in the panel through regression methods, more specifically by using an optimal response surface which has been validated through the resolution of an optimization problem with restrictions. The optimal response surface was used to estimate the extreme values of the power produced by the panel for certain given weather conditions (maximum power in summer and minimum power in winter).

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42

Goncharova, Anastasia, and Maria Vil'. "Simulation of cancer treatment using the MATLAB SimBiology application." Modeling of systems and processes 14, no. 3 (September 22, 2021): 90–96. http://dx.doi.org/10.12737/2219-0767-2021-14-3-90-96.

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The paper presents the implementation of the mathematical model of cancer taking into account interference competition and the model of continuous treatment with a constant concentration of the drug in the patient's blood. The implementation was carried out using the MATLAB SimBiology application package. The principle of implementation of different stages of the course of the disease within the framework of one model is described. On the basis of the constructed models and SimBiology tools, a modification was carried out that implements the discrete administration of doses of the drug in courses and takes into account its dynamics in the body, taking into account the assumption that the drug is consumed only to suppress cancerous cells.

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43

Vereshchago, Yevhen, and Vitalii Kostiuchenko. "Modeling of welding arc power supply diagrams in Matlab / Simulink." Electrical Engineering and Power Engineering, no. 3 (September 30, 2021): 8–20. http://dx.doi.org/10.15588/1607-6761-2021-3-1.

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Purpose. Creation of virtual blocks and simulation laboratory stands for the study and comprehensive research of the dynamic properties of welding power supplies. Methodology. Review of literary sources on the subject, simulation modeling of electromagnetic processes in the MATLAB software environment, comparative analysis of obtained and available data. Findings. The comparative analysis of means of modeling of power sources of a welding arc is executed. One of the main parameters by which the environments were compared is functionality. Among the considered simulators, Simulink of the MATLAB software environment is the most effective one in the considered systems modeling. Using special features, its user can not only simulate, but also analyze the operation of the over time installation. Mathematical and functional models of welding arc power supplies were built using SimPowerSystems elements and blocks from the Simulink library with the involvement of the MATLAB system itself, which significantly expands the possibilities for such systems modeling. Mathematization of certain processes to some extent shows the level of reliability of the results and the degree of their scientific development. The developed models act as a laboratory, which allows you to set and explore any modes and characteristics. Numerical experiments and comparative analysis of numerical and field experiments are given. Experimental verification of the obtained results on specific examples showed the relevance of the problem and the correctness of its solution. Further research is related to the expansion of the range of simulated power sources of the electric arc, a comprehensive study of their dynamic properties and basic characteristics, experimental verification of the developed models, as well as comparative analysis and development of recommendations for model improvement. Originality. The method of circuit modeling of general-purpose electrical and electronic circuits was further developed by extending it to a new class of objects - the power supply system of electrical installations. Practical value. Construction of mathematical and functional models of complex systems with the involvement of MATLAB allows to take into account their main features, significantly expands the possibilities for modeling, study and research of power supplies. Based on the proposed approach, simulation laboratory stands of specific power supplies were developed and built, which allow to set and study any modes and characteristics.

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Miková, Ľubica, Michal Kelemen, Vladislav Maxim, and Jaromír Jezný. "Design of Control of DC Motor." Applied Mechanics and Materials 611 (August 2014): 325–31. http://dx.doi.org/10.4028/www.scientific.net/amm.611.325.

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In current practice the use of mathematical models is substantially widespread, reason being the recent increase in development of programs for this purpose, with the option of model simulation in a virtual environment, proportional to the evolving computer technology. The article contains a mathematical model created using Matlab program. The simulation results are compared with scientific literature that addresses DC motors and evaluated. For simplicity, a graphical interface was created.

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45

Nguyen, Nhu Tuong An, Vinh Quang Do, The Thinh Pham, and Tuan Tran Nguyen. "Application of different control algorithms on a ‘home-made’ temperature control lab kit." Can Tho University Journal of Science 14, no. 1 (March 30, 2022): 62–73. http://dx.doi.org/10.22144/ctu.jen.2022.007.

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Providing enough facilities for students to do laboratory activities is important. An existing useful kit was proposed for students learning a variety of control engineering topics. A temperature control lab kit is made from scratch using common electronics components as a replacement for the original TCLab introduced by Hedengren (Hedengren et al., 2019). Mathematical models of the system derived from theoretical and experimental methods are simulated in Matlab/Simulink to verify their accuracy to the physical kit. Different control algorithms such as: On/Off, PID, Fuzzy are then applied on the Kit as well as its mathematical models to illustrate their control feasibility. Human machine interface (HMI) is also designed using Matlab GUI allowing an operator to select a control algorithm, tune control parameters and monitor parameters of the process. Experimental results show that the derived models can reflect quite well dynamics of the physical kit with temperature deviation among them in the range of ±3°C. This confirms that the kit is well-suited for teaching different control topics such as system modelling, system identification, classical control and advanced control algorithms.

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46

Ma, Guoliang, Kaixian Ba, Zhiwu Han, Zhengguo Jin, Bin Yu, and Xiangdong Kong. "A Mathematical Model Including Mechanical Structure, Hydraulic and Control of LHDS." Robotica 39, no. 7 (January 20, 2021): 1328–43. http://dx.doi.org/10.1017/s0263574720001204.

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SUMMARYIn this paper, mathematical models of kinematics, statics and inverse dynamics are derived firstly according to the mechanical structure of leg hydraulic drive system (LHDS). Then, all the above models are integrated with MATLAB/Simulink to build the LHDS simulation model, the model not only considers influence of leg dynamic characteristics on hydraulic system but also takes into account nonlinearity, variable load characteristics and other common problems brought by hydraulic system, and solves compatibility and operation time which brought by using multiple software simultaneously. The experimental results show the simulation model built in this paper can accurately express characteristics of the system.

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47

Zhong, Qian Wen, Yang Xu, Jie Yang, and Zhuo Meng. "PV Array Mathematical Model Optimization Based on Monitoring Data." Applied Mechanics and Materials 376 (August 2013): 336–40. http://dx.doi.org/10.4028/www.scientific.net/amm.376.336.

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The type of Solar panels in photovoltaic power generating system is generally photovoltaic array. On the basis of the photovoltaic array mathematical model for engineering , using the mathematical software MATLAB Simulink tool to build a photovoltaic array simulation model and utilizing monitoring data acquired by the detection system-Sunny Sensor Box-for Donghua University photovoltaic power generating system, the mathematical model of the PV array for engineering is optimized and the optimization includes linear and natural exponential optimization. Furthermore, higher accuracy of the optimized models is validated.

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48

Suslov, K., V. Piskunova, D. Gerasimov, E. Ukolova, A. Akhmetshin, P. Lombardi, and P. Komarnicki. "Development of the methodological basis of the simulation modelling of the multi-energy systems." E3S Web of Conferences 124 (2019): 01049. http://dx.doi.org/10.1051/e3sconf/201912401049.

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The most modern technical systems are an integration of various energy converters and sources of various physical nature. Mechanical, thermal, electromagnetic, as well as computer (information) monitoring and control system. Multi-energy systems (MES) also belong to the class of such technical devices. The main task in creating mathematical models is a methodological approach that allows joint modelling of 6 energy objects of various nature on a single methodological basis. The article considers the main approaches to the mathematical description of MES, as well as the assumptions and stages of formation for modelling this class of technical systems. The main advantages and disadvantages of the proposed methods for creating mathematical models are considered taking into account the possibility of using optimization methods and using the above models as digital twins for control systems. In addition, the article will present a methodological approach to the formation of mathematical models of an integrated energy system based on the concept of an energy hub using MATLAB.

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49

Xiang, Dong, Hao Xiong, Ning Bo Liu, Qiang Wu, and Guang Wei Meng. "Modeling and Simulation of Ship Generator Sets." Advanced Materials Research 1070-1072 (December 2014): 1898–901. http://dx.doi.org/10.4028/www.scientific.net/amr.1070-1072.1898.

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This paper establishes the mathematical models of the ship generator sets, including the diesel, speed governor system, synchronous generator, excitation system and static load, simulates the ship generator sets by Matlab/Simulink software, and tests the performance of each system to verify effectiveness of the models. The simulation results indicate that the whole system model meets technical requirements of military standard GJB.

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50

Komilov, A. G. "Algorithm for Multivariate Solution of Mathematical Models in MATLAB to Create a Database of Environmental Parameters." Applied Solar Energy 56, no. 1 (January 2020): 63–69. http://dx.doi.org/10.3103/s0003701x20010077.

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