• Title/Summary/Keyword: Analytical calculation

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Calculation of Winding Inductances for a Single-Phase Brushless DC Machine

  • Joo, Dae-Suk;Woo, Kyung-Il;Kim, Dae-Kyong
    • Journal of Magnetics
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    • v.17 no.3
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    • pp.196-199
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    • 2012
  • This paper presents the analytical calculation of winding inductance for a single-phase brushless DC machine based on the magnetic circuit concept. The machine is used in the low power range of applications, such as ventilation fans, due to its simplicity and low cost. Since flux linkage is proportional to inductance, the calculation of winding inductance is of central importance. By comparison with experimental and analytical values, it is shown that proposed analytical expression is able to effectively predict the winding inductance of single-phase brushless DC machines at the design stage.

Guided Wave Calculation and Its Applications to NDE

  • Hayashi, Takahiro
    • Journal of the Korean Society for Nondestructive Testing
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    • v.24 no.2
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    • pp.125-135
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    • 2004
  • This paper describes the calculation technique for guided wave propagation with a semi-analytical finite element method (SAFEM) and shows some results of numerical calculation and guided wave simulation for plates, pipes and railway rails. The SAFEM calculation gives dispersion curves and wave structures for bar-like structures. Dispersion curve software for a pipe is introduced, and also dispersion corves for a rail are given and experimentally verified. The mode conversions in a plate with a defect and in a pipe with an elbow or a defect are shown as examples of our guided wave simulations.

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.

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.

A New method for the Calculation of Leakage Reactance in Power Transformers

  • Dawood, Kamran;Alboyaci, Bora;Cinar, Mehmet Aytac;Sonmez, Olus
    • Journal of Electrical Engineering and Technology
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    • v.12 no.5
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    • pp.1883-1890
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    • 2017
  • Transformers are one of the most precious elements of the electric power system. Stability and reliability of the electric power network mainly depend on the working of the transformer. Leakage reactance of the transformer is one of the important factors and accurate calculation of the leakage reactance is necessary for the transformer designers and electric distributors. Leakage reactance of the transformer depends on the geometry of the transformer. There are many different methods for the calculations of the leakage reactance however mostly are usable when the axial heights of the high voltage and low voltage windings are equal. When the axial heights of high voltage and low voltage windings are asymmetric most of the analytical methods are not reliable. In this study, a new analytical method is introduced for the calculation of the leakage reactance. Fourteen different transformers are investigated in this study and four of them are presented in this paper. The results of the new analytical method are compared with the experimental results. Other analytical and numerical methods are also compared with this new method. Results show that this method is more reliable and accurate as compared to the other analytical methods. The maximum relative error between short-circuit test and proposed method for these fourteen transformers was less than 2.8%.

Analytical Calculation of Air Gap Magnetic Field Distribution in Magnetic Geared Motors

  • Shi, Hyoseok;Niguchi, Noboru;Hirata, Katsuhiro
    • Journal of Power Electronics
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    • v.19 no.3
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    • pp.794-802
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    • 2019
  • Magnetic geared motors are driven using the same operating principle as conventional synchronous motors in which a magnetic gear is embedded. The magnetic geared motor is structurally similar to a magnetic gear. However, by applying currents to the stator coil, the high-speed rotor is rotated by a magnetic field and the low-speed rotor is rotated according to the gear ratio. In this paper, the operational principle of a magnetic geared motor and the magnetic flux density in its inner and outer air gaps are described. Then the magnetic flux density in the two air gaps is used to express a method for calculating the electrical and mechanical output. Results obtained with the analytical calculation method are compared with those of the finite element analysis. Finally, a prototype is used to verify the results of the analytical calculation and FEA.

Study on the Semi-Analytical Ice Load Calculation Methods for the Ice-Breaking Simulation (쇄빙시뮬레이션을 위한 반해석적 빙하중 계산법 고찰)

  • Kim, Jeong-Hwan;Jang, Beom-Seon;Kim, Yooil
    • Journal of the Society of Naval Architects of Korea
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    • v.57 no.6
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    • pp.353-364
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    • 2020
  • This paper presents the semi-analytical ice load calculation methods that are useful to simulate the ice-breaking process. Since the semi-analytical methods rely on the previously developed closed form equations or numerical analysis results, the user's exact understanding for the equations must be supported in order to use the methods properly. In this study, various failure modes of ice such as local crushing, in-plane splitting failure, out-of-plane bending failure and radial or circumferential cracking with rotation of the broken ice floe are considered. Based on the presented methods, the fracture modes were evaluated according to the size and thickness of ice. In addition, time series analysis for the ice-breaking process was performed on several ice conditions and the results were analyzed.