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学者姓名:薛光明
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Abstract :
Built on Weibull cumulative distribution function and the hysteresis rule of Jiles-Atherton model, this paper proposes a new hysteresis function suitable for modeling the hysteretic characteristics. After the domain of definition expanded, the cumulative distribution function of a two-parameter Weibull distribution is employed to describe the skeleton curve of the hysteresis. A simplified energy conversion equation based on Jiles-Atherton model is then presented to describe the loop curve. The proposed hysteresis model is solved by the predictor-corrector method. From calculation results, the model is capable of providing abundant descriptions of hysteresis and approximating some hysteresis with low deviations. Parameter determination method is given based on the principle of minimizing the calculation deviations between the proposed model and Jiles-Atherton model. Then the deviations are comprehensively discussed under wider value range when the magnetic fields are not lower than the specified values. At last, the parametric analysis, mainly the loop parameters on hysteresis curve, maximum value and loop area, is completed. With simpler expression and clearer parameter influence compared with the Jiles-Atherton model, the model is suitable for modeling various types of hysteretic systems, especially the system with a magnetic hysteresis.
Keyword :
Cumulative distribution function Cumulative distribution function Hysteresis Hysteresis Jiles-Atherton model Jiles-Atherton model Parameter determination Parameter determination Parametric analysis Parametric analysis
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GB/T 7714 | Xue, Guangming , Bai, Hongbai , Li, Tuo et al. A new hysteresis model based on Weibull cumulative distribution function and Jiles-Atherton hysteresis model [J]. | NONLINEAR DYNAMICS , 2024 . |
MLA | Xue, Guangming et al. "A new hysteresis model based on Weibull cumulative distribution function and Jiles-Atherton hysteresis model" . | NONLINEAR DYNAMICS (2024) . |
APA | Xue, Guangming , Bai, Hongbai , Li, Tuo , Ren, Zhiying , Wu, Zhangbin . A new hysteresis model based on Weibull cumulative distribution function and Jiles-Atherton hysteresis model . | NONLINEAR DYNAMICS , 2024 . |
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Jiles-Atherton (JA) model has been widely used to describe the magnetic hysteresis property of Terfenol-D material. However, the accuracy of the classic JA model is not convincing any more when it is employed to predict the magnetizations under various amplitudes of the applied magnetic fields. This paper measures the magnetic field and magnetization indirectly and approximates the measured results to the best of the classic static JA model. Then it shows that the JA model fails to describe the magnetic hysteresis effectively, especially in computing the hysteresis width. The high computational error is caused from inappropriate value of the pinning parameter to quantify the average energy required to break pinning site. Then the parameter is modified from the constant value to an independent variable on the field amplitude. From the comparisons on the results of the maximum magnetization, maximum magnetization, residual magnetization and coercivity, the performance in describing the hysteresis property of Terfenol-D is obviously promoted by the improved model apparently compared to the classic one.
Keyword :
Characteristic parameter Characteristic parameter Jiles-Atherton model Jiles-Atherton model Magnetic hysteresis Magnetic hysteresis Terfenol-D Terfenol-D Various amplitudes Various amplitudes
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GB/T 7714 | Xue, Guangming , Zhang, Cheng , Bai, Hongbai et al. An improvement of the Jiles-Atherton model at various magnetic field amplitudes using the example of Terfenol-D material [J]. | JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS , 2024 , 601 . |
MLA | Xue, Guangming et al. "An improvement of the Jiles-Atherton model at various magnetic field amplitudes using the example of Terfenol-D material" . | JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS 601 (2024) . |
APA | Xue, Guangming , Zhang, Cheng , Bai, Hongbai , Ren, Xinxin , Ren, Zhiying . An improvement of the Jiles-Atherton model at various magnetic field amplitudes using the example of Terfenol-D material . | JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS , 2024 , 601 . |
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A magnetic field induced by an electromagnetic coil is the key variable that determines the performance of a magnetically driven actuator. The applicability of the empirical models of the coil turns, static resistance, and inductance were discussed. Then, the model of the mean magnetic field induced by the coil was established analytically. Based on the proposed model, the sinusoidal response and square-wave response were calculated with the wire diameter as the decision variable. The amplitude and phase lag of the sinusoidal response, the time-domain response, steady-state value, and the response time of the square-wave response were discussed under different wire diameters. From the experimental and computational results, the model was verified as the relative errors were acceptably low in computing various responses and characteristic variables. Additionally, the optimization on the wire diameter was carried out for the optimal amplitude and response time. The proposed model will be helpful for the analytical analysis of the mean magnetic field, and the optimization result of the wire diameter under limited space can be employed to improve the performance of a magnetically driven actuator.
Keyword :
coil coil mean magnetic field mean magnetic field sinusoidal response sinusoidal response square-wave response square-wave response wire diameter wire diameter
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GB/T 7714 | Wu, Zhangbin , Bai, Hongbai , Xue, Guangming et al. Optimization of the Wire Diameter Based on the Analytical Model of the Mean Magnetic Field for a Magnetically Driven Actuator [J]. | AEROSPACE , 2023 , 10 (3) . |
MLA | Wu, Zhangbin et al. "Optimization of the Wire Diameter Based on the Analytical Model of the Mean Magnetic Field for a Magnetically Driven Actuator" . | AEROSPACE 10 . 3 (2023) . |
APA | Wu, Zhangbin , Bai, Hongbai , Xue, Guangming , Ren, Zhiying . Optimization of the Wire Diameter Based on the Analytical Model of the Mean Magnetic Field for a Magnetically Driven Actuator . | AEROSPACE , 2023 , 10 (3) . |
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Magnetostrictive transducer, as a kind of high-efficiency transducer, has a broad application in the field of energy harvesting and sensor. However, the voltage generating performance of the transducer limits its application. This paper will endeavor to quantify the load-induced voltage of magnetostrictive transducer by developing a holistic theoretical model and deriving the corresponding analytical solution. On this basis, this paper proposed the concept of voltage sensitivity in transducer optimization, which could quantitatively analyze the normalized voltage generated by a unit excitation. Based on the theoretical simulation and experimental validation, the voltage sensitivities of magnetostrictive transducer under different mechanical loads are investigated. The parametric analysis will be conducted to further optimize the transducer structure to enhance its open-circuit and load voltage. The works of this paper could be instructive to guide magnetostrictive transducer design in sensing and energy harvesting applications.
Keyword :
Giant magnetostrictive material Giant magnetostrictive material magnetostrictive transducer magnetostrictive transducer optimization optimization parametric analysis parametric analysis
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GB/T 7714 | Dai, Bowen , He, Zhongbo , Yang, Zhaoshu et al. Exploiting the voltage sensitivity of magnetostrictive transducer for energy harvesting and sensor applications [J]. | MEASUREMENT & CONTROL , 2023 , 56 (7-8) : 1175-1186 . |
MLA | Dai, Bowen et al. "Exploiting the voltage sensitivity of magnetostrictive transducer for energy harvesting and sensor applications" . | MEASUREMENT & CONTROL 56 . 7-8 (2023) : 1175-1186 . |
APA | Dai, Bowen , He, Zhongbo , Yang, Zhaoshu , Xue, Guangming , Zhou, Jingtao , Liu, Guoping . Exploiting the voltage sensitivity of magnetostrictive transducer for energy harvesting and sensor applications . | MEASUREMENT & CONTROL , 2023 , 56 (7-8) , 1175-1186 . |
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Electromagnetic spring active isolators have attracted extensive attention in recent years. The standard Bouc-Wen model is widely used to describe hysteretic behavior but cannot accurately describe asymmetric behavior. The standard Bouc-Wen model is improved to better describe the dynamic characteristic of a toothed electromagnetic spring. The hysteresis model of toothed electromagnetic spring is established by adding mass, damping, and asymmetric correction terms with direction. Subsequently, the particle swarm optimization algorithm is used to identify the parameters of the established model, and the results are compared with those obtained from the experiment. The results show that the current has a significant impact on the dynamic curve. When the current increases from 0.5 A to 2.0 A, the electromagnetic force sharply increases from 49 N to 534 N. Under different excitations and currents, the residual points predicted by the model proposed in this work fall basically in the horizontal band region of -20-20 N (for an applied current of 1.0 A) and -40-80 N (for an application of 4.5 mm/s). Furthermore, the maximum relative error of the model is 12.75%. The R-2 of the model is higher than 0.98 and the highest value is 0.9993, proving the accuracy of the established model.
Keyword :
Bouc-Wen model Bouc-Wen model dynamic characteristic dynamic characteristic electromagnetic spring electromagnetic spring experiment experiment particle swarm algorithm particle swarm algorithm
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GB/T 7714 | Zheng, Xiaoyuan , Zhang, Cheng , Lou, Yifang et al. Dynamic Characteristic Analysis of a Toothed Electromagnetic Spring Based on the Improved Bouc-Wen Model [J]. | MATERIALS , 2023 , 16 (13) . |
MLA | Zheng, Xiaoyuan et al. "Dynamic Characteristic Analysis of a Toothed Electromagnetic Spring Based on the Improved Bouc-Wen Model" . | MATERIALS 16 . 13 (2023) . |
APA | Zheng, Xiaoyuan , Zhang, Cheng , Lou, Yifang , Xue, Guangming , Bai, Hongbai . Dynamic Characteristic Analysis of a Toothed Electromagnetic Spring Based on the Improved Bouc-Wen Model . | MATERIALS , 2023 , 16 (13) . |
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Active vibration control shows excellent performance in vibration isolation. In this work, the finite element model of a toothed electromagnetic spring (TES) is established using ANSYS Maxwell software. Subsequently, a static characteristic experiment of the TES is carried out, and the validity of the model is verified. Based on the established finite element model, the influence of key structural parameters on the static characteristics of the electromagnetic spring is analyzed. The results show that the parameters of the magnetic teeth have a significant impact on the performance of the electromagnetic spring. As the number of teeth increases, the electromagnetic force first increases and then decreases. With the increase in the tooth height or width, the maximum electromagnetic force gradually increases to the maximum value and then stabilizes. It should be noted that the tooth width simultaneously affects the maximum electromagnetic force, stiffness characteristics, and effective working range of the TES. This work provides a basis for further exploring the application of electromagnetic springs within the field of active vibration control.
Keyword :
experiment experiment finite element model finite element model parametric analysis parametric analysis toothed electromagnetic spring toothed electromagnetic spring
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GB/T 7714 | Zheng, Xiaoyuan , Zhang, Cheng , Lou, Yifang et al. Parametric Analysis of the Toothed Electromagnetic Spring Based on the Finite Element Model [J]. | AEROSPACE , 2023 , 10 (9) . |
MLA | Zheng, Xiaoyuan et al. "Parametric Analysis of the Toothed Electromagnetic Spring Based on the Finite Element Model" . | AEROSPACE 10 . 9 (2023) . |
APA | Zheng, Xiaoyuan , Zhang, Cheng , Lou, Yifang , Xue, Guangming , Bai, Hongbai . Parametric Analysis of the Toothed Electromagnetic Spring Based on the Finite Element Model . | AEROSPACE , 2023 , 10 (9) . |
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Aiming at the inherent problems of non-direct-drive injectors, such as long oil circuits and a difficult precise control of the needle stroke, based on the structure of a direct-drive injector and combined with the demand for the needle drive of a truck diesel injector, this study designs and fabricates a giant magnetostrictive actuator for direct-drive injectors. A simplified model of a giant magnetostrictive actuator is established, which mainly simplifies the magnetization model to facilitate the subsequent integrated modeling of the fuel injector. An actuator output displacement test system was built, and the output waveform and frequency characteristics of the actuator were analyzed. It was found that the experimental results were in good agreement with the calculated results of the model, and the average relative error of the amplitude was 3.26%, while the average relative error of the phase difference was 3.83%, which verifies the correctness of the model. This research enriches the modeling method of giant magnetostrictive actuators and has an important reference value for the research and design of fuel injectors.
Keyword :
experimental verification experimental verification giant magnetostrictive actuator giant magnetostrictive actuator giant magnetostrictive material giant magnetostrictive material simplified model simplified model
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GB/T 7714 | Zhou, Zhaoqi , He, Zhongbo , Xue, Guangming et al. Displacement Model of Giant Magnetostrictive Actuator for Direct-Drive Injector [J]. | ACTUATORS , 2022 , 11 (11) . |
MLA | Zhou, Zhaoqi et al. "Displacement Model of Giant Magnetostrictive Actuator for Direct-Drive Injector" . | ACTUATORS 11 . 11 (2022) . |
APA | Zhou, Zhaoqi , He, Zhongbo , Xue, Guangming , Zhou, Jingtao , Rong, Ce , Liu, Guoping . Displacement Model of Giant Magnetostrictive Actuator for Direct-Drive Injector . | ACTUATORS , 2022 , 11 (11) . |
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The Jiles-Atherton model was widely used in the description of the system with hysteresis, and the solution for the model was important for real-time and high-precision control. The secant method was used for solving anhysteretic magnetization and its initial values were optimized for faster convergence. Then, the Fourth Order Runge-Kutta method was employed to solve magnetization and the required computation cycles were supplied for stable results. Based on the solving method, the effect of the nonzero initial magnetic field on the magnetization was discussed, including the commonly used linear model of the square of magnetization under the medium initial value. From computations, the proposed secant iteration method, with supplied optimal initial values, greatly reduced the iterative steps compared to the fixed-point iteration. Combined with the Fourth Order Runge-Kutta method under more than three cycles of calculations, stable hysteresis results with controllable precisions were acquired. Adjusting the initial magnetic field changed the result of the magnetization, which was helpless to promote the amplitude or improve the symmetry of magnetization. Furthermore, the linear model of the square of magnetization was unacceptable for huge computational errors. The proposed numerical solving method can supply fast and high-precision solutions for the Jiles-Atherton model and provide a basis for the application scope of typical linear assumption.
Keyword :
initial magnetic field initial magnetic field Jiles-Atherton model Jiles-Atherton model numerical solving method numerical solving method Runge-Kutta method Runge-Kutta method secant method secant method square of magnetization square of magnetization
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GB/T 7714 | Xue, Guangming , Bai, Hongbai , Li, Tuo et al. Numerical Solving Method for Jiles-Atherton Model and Influence Analysis of the Initial Magnetic Field on Hysteresis [J]. | MATHEMATICS , 2022 , 10 (23) . |
MLA | Xue, Guangming et al. "Numerical Solving Method for Jiles-Atherton Model and Influence Analysis of the Initial Magnetic Field on Hysteresis" . | MATHEMATICS 10 . 23 (2022) . |
APA | Xue, Guangming , Bai, Hongbai , Li, Tuo , Ren, Zhiying , Liu, Xingxing , Lu, Chunhong . Numerical Solving Method for Jiles-Atherton Model and Influence Analysis of the Initial Magnetic Field on Hysteresis . | MATHEMATICS , 2022 , 10 (23) . |
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