• Title/Summary/Keyword: Analytical calculations

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Improved Torque Calculation of High Speed Permanent Magnet Motor with Compressor Loads Using Measured Power Factor Angle and Analytical Circuit Parameters

  • Choi, Jang-Young;Jang, Seok-Myeong;Lee, Sung-Ho
    • Journal of international Conference on Electrical Machines and Systems
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    • v.2 no.2
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    • pp.159-164
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    • 2013
  • Difficulty of torque measurements in high-speed permanent magnet (HSPM) motors has necessitated the development of improved torque calculations. Hence, this paper presents an analytical torque calculation of a high speed permanent magnet (HSPM) motor based on the power factor angle. On the basis of analytical magnetic field solutions, the equations for circuit parameters such as back-emf and synchronous inductance are derived analytically. All analytical results are validated extensively by non-linear finite element (FE) calculations and measurements. The internal angle (${\delta}$) between the back-emf and the phase current is calculated according to the rotor speed by using analytical circuit parameters and the measured power factor because this angle is not measured but estimated in case of sensorless drive of the HSPM motor, significantly affecting torque calculation. Finally, the validity of the torque analysis method proposed in this paper is confirmed, by showing that the torque calculated on the basis of the internal angle is in better agreement with the measurements.

Analytical Potential Energy Surfaces for the Four-center Elimination Feaction of HCI from 1,1-Dechlorethylene: Translational Energy Release from Classical Trajectory Studies

  • Lee, Bong U;Lee, Chang Hwan;Kim, Hong Rae
    • Bulletin of the Korean Chemical Society
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    • v.21 no.7
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    • pp.727-733
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    • 2000
  • Analytical potential energy surfaces have been constructed for the four-center elimination of HCI from 1,1-dichloroethylene.The potential functions are Morse-type functions which are modified by appropriate switching and attenuating functions with adjustable parameters. The parameters have been found by fitting the calculated vibrational frequencies, reaction endothermicity, equlibrium geometries of the reactant and products to those of experiments and ab initio calculations. The translational energy release obtained from classical trajectory calculations on this surface is in good agreement with the experiment.

Force Characteristic Analysis of Permanent Magnet Linear Coupling with Vertical Magnetized using an Analytical Magnetic Field Calculations (해석적 방법을 이용한 수직방향으로 자화된 영구자석 선형커플링의 힘 특성 해석)

  • Lee, Jae-Hyun;Choi, Jang-Young
    • Proceedings of the KIEE Conference
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    • 2015.07a
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    • pp.742-743
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    • 2015
  • Magnetic couplings are do not require any mechanical contact with the power transmitted to the secondary side according to the primary side. For this reason, well-suited for isolated systems such as vacuums or high pressure. So, this paper presents the force characteristic analysis of the permanent magnet (PM) linear coupling with vertical magnetized using an analytical magnetic field calculations. Based on the definition of governing equations and magnetic vector potential, we obtained the analytical solutions according to the boundary condition for each of the regions. Also, we derived from the force generated in the permanent magnet surface using the Maxwell stress tensor. The analytical results are proved the validity by comparing to the finite element method (FEM).

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Comparative Study of Armature Reaction Field Analysis for Tubular Linear Machine with Axially Magnetized Single-sided and Double-sided Permanent Magnet Based on Analytical Field Calculations

  • Shin, Kyung-Hun;Park, Min-Gyu;Cho, Han-Wook;Choi, Jang-Young
    • Journal of Magnetics
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    • v.20 no.1
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    • pp.79-85
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    • 2015
  • This paper presents a comparative study of a Tubular Linear Machine (TLM) with an Axially Magnetized Single-sided Permanent Magnet (AMSPM) and an Axially Magnetized Double-sided Permanent Magnet (AMDPM) based on analytical field calculations. Using a two-dimensional (2-D) polar coordinate system and a magnetic vector potential, analytical solutions for the flux density produced by the stator windings are derived. This technique is significant for the design and control implementation of electromagnetic machines. The field solution is obtained by solving Maxwell's equations in the simplified boundary value problem consisting of the air gap and coil. These analytical solutions are then used to estimate the self and mutual inductances. Two different types of machine are used to verify the validity of these model simplifications, and the analytical results are compared to results obtained using the finite element method (FEM) and experimental measurement.

Numerical and analytical predictions of nuclear steam generator secondary side flow field during blowdown due to a feedwater line break

  • Jo, Jong Chull;Jeong, Jae-Jun;Moody, Frederick J.
    • Nuclear Engineering and Technology
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    • v.53 no.3
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    • pp.1029-1040
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    • 2021
  • For the structural integrity evaluation of pressurized water reactor (PWR) steam generator (SG) tubes subjected to transient hydraulic loading, determination of the tube-to-tube gap velocity and static pressure distributions along the tubes is prerequisite. This paper addresses both computational fluid dynamics (CFD) and analytical approaches for predicting the tube-to-tube gap velocity and static pressure distributions during blowdown following a feedwater line break (FWLB) accident at a PWR SG. First of all, a comparative study on CFD calculations of the transient velocity and pressure distributions in the SG secondary sides for two different models having 30 or no tubes is performed. The result shows that the velocities of sub-cooled water flowing between any adjacent two tubes of a tubed SG model during blowdown can be roughly estimated by applying the specified SG secondary side porosity to those of the no-tubed SG model. Secondly, simplified analytical approximate solutions for the steady two-dimensional SG secondary flow velocity and pressure distributions under a given discharge flowrate are derived using a line sink model. The simplified analytical solutions are validated by comparing them to the CFD calculations.

Analytical Calculation of the 3D Magnetic Field Created by Non-Periodic Permanent Magnet Arrays

  • Zhang, He;Kou, Baoquan;Li, Liyi
    • Journal of international Conference on Electrical Machines and Systems
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    • v.1 no.3
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    • pp.289-294
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    • 2012
  • In this paper, the three-dimensional magnetic field created by non-periodic magnet arrays is calculated analytically. The analytical expression of the magnetic field is derived by using a magnetic charge model. The influence of ferromagnetic boundaries is formulated with an image method. Finally, we compare the results determined by analytical calculations to those from a finite element simulation.

Analytical Model for the Calculations of Ultimate Moment Capacities of Double Angle Connections (더블앵글 접합부의 극한모멘트 산정을 위한 해석모델)

  • Yang, Jae-Geun;Lee, Gil-Young;Cho, Hye-Jung;Choun, Ji-Won
    • Proceeding of KASS Symposium
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    • 2006.05a
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    • pp.81-87
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    • 2006
  • This study has been conducted to predict the ultimate moment capacities of double angle connections with various angle thicknesses and bolt gage distances. Considering the results of experimental tests conducted previously, a simplified analytical model is suggested in this research. In addition, some basic data are also provided for structural engineers to design a double angle connection preliminary.

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Experimental Works and Power Loss Calculations of Surface-Mounted Permanent Magnet Machines

  • Choi, Jang-Young;Ko, Kyoung-Jin;Jang, Seok-Myeong
    • Journal of Magnetics
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    • v.16 no.1
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    • pp.64-70
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    • 2011
  • Surface-mounted permanent magnet (PM) machines were examined experimentally and theoretically, through power loss measurements and calculations. Windage, friction and copper losses were calculated using simple analytical equations and finite element (FE) analyses. Stator core losses were calculated by determining core loss coefficients through curve-fitting and magnetic behavior analysis through non-linear FE calculations. Rotor eddy current losses were calculated using FE analyses that considered the time harmonics of phase current according to load. Core, windage and friction open-circuit losses and copper loss were determined experimentally to test the validity of the analyses.

Acoustic Radiation from Radial Vibration Modes of a Thick Annular Disk (후판 환형 디스크 래디얼 모드에 의한 음향방사에 관한 연구)

  • Lee, Hyeongill
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.15 no.4 s.97
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    • pp.412-420
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    • 2005
  • This article proposes analytical solutions for sound radiation from radial vibration modes of a thick annular disk. Structural eigensolutions are calculated using the transfer matrix method. The far-field sound pressure distribution is obtained using two alternate methods. In the first method, pressure is calculated using the Rayleigh integral technique. The second method treats sound radiating radial surfaces as cylindrical radiators of finite length. The Sinc function approach is employed for calculations. Acoustic powers and radiation efficiencies of radial modes are also determined from the far-field sound pressure calculations. Analytical predictions match well with measured data as well as computational results from a finite element code in terms of structural eigensolutions and from a boundary element code in terms of sound pressure, directivity etc.

Temperature analysis of thick plate during welding (1) (후판 용접부 온도 분포 해석 1)

  • Choi, K.;Chang, R.W.;Eom, G.W.
    • Journal of Welding and Joining
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    • v.8 no.3
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    • pp.53-59
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    • 1990
  • Temperature distribution of thick plate during welding was investigated. Applied weldng process was shielded metal arc welding which was known as one of the most utilized processes in fabrication fields. Heating and cooling cycles were recorded by imploying high fidelity recorded and K-type thermocouple of 0.3mm in diameter. Both analytical and numerical calculations were preformed so as to verify the thermal cycle measurement. Results showed that the temperature of a welded points at given time could be predicted by the theoretical calculations. It was considered that methods could be applied to real structural components with slight modification.

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