Development and research of mathematical model of current transformer reproducing magnetic hysteresis based on Preisach theory

Andreev, Mikhail; Suvorov, Aleksey; Ruban, Nikolay; Ufa, Ruslan; Gusev, Alexander; Askarov, Alisher; Kievets, Аnton

doi:10.1049/iet-gtd.2018.6796

Cited by 8 publications

(4 citation statements)

References 24 publications

(21 reference statements)

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“…It is shown that by a special choice of the Preisach converter measure, the input-output correspondences of the Jiles-Atherton model and the Preisach converter can be matched [116,117]. Note, that a number of works have compared the Preisach and Jiles-Atherton models [118][119][120][121], and recent work [122] has constructed a new hybrid hysteresis model based on them using back propagation neural networks.…”

Section: Modeling Of Technical Systemsmentioning

confidence: 99%

The Preisach model of hysteresis: fundamentals and applications

Semenov,

Borzunov,

Meleshenko

et al. 2024

Phys. Scr.

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The Preisach model is a well-known model of hysteresis in the modern nonlinear science. This paper provides an overview of works that are focusing on the study of dynamical systems from various areas (physics, economics, biology), where the Preisach model plays a key role in the formalization of hysteresis dependencies. Here we describe the input-output relations of the classical Preisach operator, its basic properties, methods of constructing the output using the demagnetization function formalism, a generalization of the classical Preisach operator for the case of vector input-output relations. Various generalizations of the model are described here in relation to systems containing ferromagnetic and ferroelectric materials. The main attention we pay to experimental works, where the Preisach model has been used for analytic description of the experimentally observed results. Also, we describe a wide range of the technical applications of the Preisach model in such fields as energy storage devices, systems under piezoelectric effect, models of systems with long-term memory. The properties of the Preisach operator in terms of reaction to stochastic external impacts are described and a generalization of the model for the case of the stochastic threshold numbers of its elementary components is given.

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Section: Modeling Of Technical Systemsmentioning

confidence: 99%

The Preisach model of hysteresis: fundamentals and applications

Semenov,

Borzunov,

Meleshenko

et al. 2024

Phys. Scr.

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“…For the proposed µPMU, the empirical equation is used to compensate for the CT error under steady-state. For the dynamic operation, the Discreet Preisach model is used, based on the point-on-Wave measurements provided to evaluate the CT performance under unpredicted waveform [29]. The CT and VT complex gain error estimated during the calibration is represented in Eq.…”

Section: Ct and Vt Error Estimation And Compensationmentioning

confidence: 99%

uPMU Hardware and Software Design Consideration and Implementation for Distribution Grid Applications

Elsayed¹,

Abdellah²,

Mohamed³

et al. 2022

Adv. sci. technol. eng. syst. j.

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Real-time monitoring system µPMU hardware and software design Error and phasor estimation Computational time minimization This article presents a roadmap for distribution grid µPMU hardware and software design consideration and implantation to ensure high performance within limited computational time of sampling frequency 512 samples/cycle. A proposed 12 channels, multi-voltage level µPMU hardware and rules of voltage and current transducer, analog filter, analog-to-digital converter, sampling rate definition, and PCB design and selection are presented. From the software view, software minimization procedures are implemented to reduce the estimation time of the proposed µPMU to 18 µsec under high sampling frequency operation. Additionally, error estimation and compensation are used to ensure robust performance, while the computational burden of the error compensation stage is reduced by Taylor series linearization. The proposed µPMU is designed to provide traditional phasor, frequency and harmonics measurements besides a point-on-wave under dynamic operation mode. The proposed device is tested under IEEE Std C37. 118.1 and 118.2 and showed accurate phasor estimation up to 0.03% for the magnitude and angle accuracy up to 0.0036 o , while the frequency is estimated with maximum variation of 0.032% under dynamic operation.

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“…When the high-voltage electric energy metering transformer has a gradual fault, the output signal will drift slightly. It is of great significance to analyze the output signals at different fault stages and extract the fault characteristics that characterize the gradual fault trend [6].…”

Section: Introductionmentioning

confidence: 99%

Research on automatic detection of gradual fault of high voltage electric energy metering transformer based on fuzzy rough set and whale optimization algorithm

Wang,

Wu,

Huang

et al. 2024

J. vibroeng.

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Based on fuzzy rough set and whale optimization algorithm, the automatic fault detection method of high-voltage electric energy metering transformer is studied to improve the fault diagnosis effect and efficiency. On the basis of constructing the mathematical model of gradual fault of high-voltage electric energy metering transformer, the fuzzy rough set theory is used to reduce the data attributes of fault samples, eliminate similar attributes, determine the minimum fault feature set, and complete the fault feature selection, which is used as the input of the fault detection model based on Whale Optimization Algorithm-based Support Vector Machine (WOA-SVM). After the kernel parameters and penalty factors of SVM are optimized by whale optimization algorithm, the type of gradual fault of high-voltage electric energy metering transformer is identified. The experimental results show that the reduced fault attributes are distributed differently in the sample data, and the fault detection accuracy can be improved by 9.5 % through fault feature selection. The fault diagnosis model with Gaussian radial basis function, kernel parameter of 0.05 and penalty factor of 10 has the best performance. This method can identify the gradual fault types of high-voltage electric energy metering transformers, and the fault diagnosis effect is outstanding.

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Development and research of mathematical model of current transformer reproducing magnetic hysteresis based on Preisach theory

Cited by 8 publications

References 24 publications

The Preisach model of hysteresis: fundamentals and applications

The Preisach model of hysteresis: fundamentals and applications

uPMU Hardware and Software Design Consideration and Implementation for Distribution Grid Applications

Research on automatic detection of gradual fault of high voltage electric energy metering transformer based on fuzzy rough set and whale optimization algorithm

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