Electric heater mathematical model for cyber-physical systems

Pankratova, N. D.; Голінко, Ігор Михайлович

doi:10.20535/srit.2308-8893.2021.2.01

Cited by 3 publications

(3 citation statements)

References 4 publications

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“…Mathematical model ( 1) and its thermophysical parameters are considered in detail in work [12]. On the analysis basis of mathematical model parameters numerical values, it can be stated that thermophysical values of material flows and structural materials of electric heater are determined with high accuracy from reference books on thermophysical properties of substances and materials [13].…”

Section: Electric Heater Model Uncertainty Analysismentioning

confidence: 99%

“…Applying the inverse Laplace transform, it is easy to find an analytical solution (2), (3) for the influence channels. Let's analyze variable parameters influence of mathematical model (3) on electric heater HE 36/2 dynamic properties, simulation of which is considered in [12]. Let's assume that the electric heater basic static mode parameters θ A0 , θ A , d A0 , d A are determined using CFS sensors readings.…”

Section: Electric Heater Model Uncertainty Analysismentioning

confidence: 99%

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Development of Digital Twin Based on Model with Fractional-Rational Uncertainty

Pankratova,

Golinko

2023

Computer Modeling and Intelligent Systems

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A methodology for developing the digital twin mathematical model for a cyber-physical system in the air heating process form using an electric heater is proposed. At the passive identification expense, the technique gives possibility of synthesis and adaptation of the digital twin discrete mathematical model by the air heating measured data in the operating electric heater. The influence of analytical model uncertain parameters of the electric heater on the calculation's accuracy is considered. The quality criterion for assessing the mathematical model adequacy to a physical dynamic process is proposed. The algorithm of passive identification the mathematical model uncertain parameters is developed, in which the deviations of calculated model variables from measured values in the process of air heating are minimized. A numerical study of the considered method has been carried out. It is shown that the passive identification of the uncertain model parameters belongs to the oneextreme optimization problem. The considered simulation examples prove that the proposed methodology for the digital twin development using MatLAB software is an effective and convenient tool for the rational creation of a digital twin for cyber-physical systems.

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Section: Electric Heater Model Uncertainty Analysismentioning

confidence: 99%

Section: Electric Heater Model Uncertainty Analysismentioning

confidence: 99%

Development of Digital Twin Based on Model with Fractional-Rational Uncertainty

Pankratova,

Golinko

2023

Computer Modeling and Intelligent Systems

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show abstract

“…Let's consider the analytical model of air heating on an electric heater, which is proposed in [18]:…”

Section: Analytical Model Of Air Heating On Electric Heater Analysis ...mentioning

confidence: 99%

Development of Digital Twins to Support the Functioning of Cyber-physical Systems

Pankratova,

Golinko

2023

CSJM

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The peculiarities of developing a digital twin for cyberphysical systems using an analytical model of the investigated process are considered. The proposed approach takes into account the conceptual uncertainty of the analytical model parameters with the subsequent passive identification by adapting the analytical model to the dynamic characteristics of the real physical process. In the article, the digital twin development is carried out on the analytical model air heating process example with the help of an electric calorifier. The analytical model uncertain parameters of the electric heater are analyzed and an integral quality index is proposed to evaluate the dynamic model adequacy in the process of air heating. For electric heater model adaptation, the passive identification algorithm of uncertain parameters is developed, in which deviations of the mathematical model uncertain coefficients are minimized. A numerical study of the considered approach has been carried out. It is shown that uncertain parameters’ passive identification of the model belongs to the problem of single-extremal optimization. The considered modeling examples confirmed the effectiveness of the proposed approach to digital twins’ development for cyber-physical systems.

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Approach to Development of Digital Twin Model for Cyber-Physical System in Conditions of Conceptual Uncertainty

Pankratova,

Golinko

2023

System Analysis and Artificial Intelligence

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Electric heater mathematical model for cyber-physical systems

Cited by 3 publications

References 4 publications

Development of Digital Twin Based on Model with Fractional-Rational Uncertainty

Development of Digital Twin Based on Model with Fractional-Rational Uncertainty

Development of Digital Twins to Support the Functioning of Cyber-physical Systems

Approach to Development of Digital Twin Model for Cyber-Physical System in Conditions of Conceptual Uncertainty

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