“…Equation (1) shows that the essence of magnetostriction is the energy exchange between the electromagnetic and mechanical systems. Based on the reference [9], the total energy function I(A, u) of the MCR core can be set. And the required solution is to find the optimum multi- function I(A, u) to minimize I(A, u) by using the energy variation principle.…”
Section: Gapmentioning
confidence: 99%
“…This phenomenon is referred as the magnetostrictive effect and magnetostrictive force. The magnetostrictive force is distorted in the airgap of the iron core when the magnetic field tends to saturate which signifies the electromagnetic vibration of the MCR [9][10][11]. To reduce the and noise caused by the vibration of the MCRs, the numerical models about simulating the electromagnetic force should be investigated, which will also be the basis for the optimization and design of the special structure motor [12,13].…”
The main factors of stress distribution in MCRs are the magnetostriction effect of the core materials and the magnetic force between gaps under DC bias excitation. This paper developed a coupling model for MCRs considering Maxwell magnetic force and magnetostriction under DC flux density biases. The constitutive equations of the magnetic field and strain field are constructed based on the magnetic property curves with a new measured and analyzed method to consider DC magnetic flux biases, which is the key contributions of this study. Then, the electromagnetic vibration properties of the MCR model are calculated and analyzed. To prove the validity of the proposed method, the vibration of a 4.4 kVar-220 V MCR is tested and analyzed. INDEX TERMS Magnetically controlled reactors, finite element analysis, electromagnetic vibration, magnetostriction.
“…Equation (1) shows that the essence of magnetostriction is the energy exchange between the electromagnetic and mechanical systems. Based on the reference [9], the total energy function I(A, u) of the MCR core can be set. And the required solution is to find the optimum multi- function I(A, u) to minimize I(A, u) by using the energy variation principle.…”
Section: Gapmentioning
confidence: 99%
“…This phenomenon is referred as the magnetostrictive effect and magnetostrictive force. The magnetostrictive force is distorted in the airgap of the iron core when the magnetic field tends to saturate which signifies the electromagnetic vibration of the MCR [9][10][11]. To reduce the and noise caused by the vibration of the MCRs, the numerical models about simulating the electromagnetic force should be investigated, which will also be the basis for the optimization and design of the special structure motor [12,13].…”
The main factors of stress distribution in MCRs are the magnetostriction effect of the core materials and the magnetic force between gaps under DC bias excitation. This paper developed a coupling model for MCRs considering Maxwell magnetic force and magnetostriction under DC flux density biases. The constitutive equations of the magnetic field and strain field are constructed based on the magnetic property curves with a new measured and analyzed method to consider DC magnetic flux biases, which is the key contributions of this study. Then, the electromagnetic vibration properties of the MCR model are calculated and analyzed. To prove the validity of the proposed method, the vibration of a 4.4 kVar-220 V MCR is tested and analyzed. INDEX TERMS Magnetically controlled reactors, finite element analysis, electromagnetic vibration, magnetostriction.
“…Although the proper establishment of these formulae is beyond the scope of this paper, we briefly outline a possible way to do it: 1) obtain the losses for different values of the geometric parameters and create a database; 2) use an identification technique to set up an optimization problem, with the parameters of black-box models as the main variables (these can be preselected formulae); and 3) solve the optimization problem using stochastic or deterministic optimization methods [37]- [42].…”
Section: B Variation Of the Number And Length Of Main Air Gapsmentioning
This paper presents design improvements to lower the temperature in the clamping bolt (CB), in a single-phase extrahigh-voltage (EHV) shunt reactor. Laboratory temperature measurements, under overload and nominal load conditions, were performed in the middle of the two top main air gaps inside one of the slots drilled in the CB using commercial fiber-optic temperature sensors. 3-D finite-element (FE) simulations were performed to calculate fringing losses in the CB. Subsequently, the fringing losses were employed as a heat source for static-steady thermal analysis using 3-D FE simulations. Convective heat-transfer coefficients were selected with a methodology that leads to a close match between measured and simulated temperatures. Two practical design enhancements to diminish temperatures in the CB are analyzed using measured and simulated data. These alternatives improve design and reduce potential failures and, hence, increase the EHV shunt reactor lifetime.
Index Terms-Clamping bolt (CB), extra high voltage (EHV),finite element (FE), magnetic lamination packages (MLP), opticalfiber temperature sensors, shunt reactor.
“…Under the magnetic field provided by the winding current of ASR, the magnetic core is subject to Maxwell's electromagnetic force [9][10]. At the same time, the length and volume of ferromagnetic materials of core change slightly due to the core magnetization, which is called magnetostrictive effect and magnetostrictive force [11][12][13].…”
The cores of anode saturated reactor (ASR) are the main vibration source of the HVDC converter valve system. The ASR is excited with an impulse voltage, which contains many harmonic components, and the magnetostriction of cores is usually the main reason of the ASR vibration. Therefore it is significant to study the influence of the harmonic on the vibration of core of ASR. In this paper, the magneto-mechanical coupling model is established based on the magnetostriction theory and the expression of vibration acceleration in the presence of third harmonic is derived. The vibration test platform is built to test the core's vibration acceleration. The magnetic and magnetostrictive properties of silicon steel sheet under different working conditions are measured. The three-dimensional simulation model of the core is established, and the vibration acceleration under different magnetic flux density is calculated. The comparison of the experiment and simulation results shows the rationality of the magneto-mechanical coupling model. The influence of third harmonic magnetic flux density on vibration is studied by changing the phase of the third harmonic magnetic flux density and the ratio of the third harmonic magnetic flux density to the fundamental magnetic flux density. Both the calculated and measured results show that the third harmonic magnetic flux density affects the vibration acceleration according to the double-frequency components of the third harmonic, as well the sum-frequency and difference-frequency components of the third harmonic and fundamental frequency.
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