• Title/Summary/Keyword: linear flux function

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Cogging Torque Optimization of Axial-Flux Motor (축방향 자속형 전동기의 코깅 토크 최적화)

  • Kim, Il-Woo;Woo, Dong-Kyun;Jung, Huyn-Kyo
    • Proceedings of the KIEE Conference
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    • 2011.07a
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    • pp.826-827
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    • 2011
  • The selection of optimum parameters in electromagnetic design usually requires optimization of multimodal, non linear functions. This leads to extensive calculations which pose a huge inconvenience in the design process. This paper proposes a novel algorithm for dealing efficiently with this issue. Through the use of contour line concept coupled with Kriging, the algorithm finds out all the peaks in the problem domain with as few function calls as possible. The proposed algorithm is applied to the magnet shape optimization of an axial flux permanent magnet synchronous machine and the cogging torque was reduced to 79.8% of the initial one.

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Application of Implicit Function Theorem to Existence of Solutions to Ordinary Differential Equations with Nonlocal Boundary Conditions, I (비국소 경계 조건들을 가진 상미분 방정식들의 근의 존재성에 음함수 정리들의 응용 I)

  • Do, Tae-Sug
    • Journal of the Korean Society of Industry Convergence
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    • v.5 no.3
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    • pp.219-224
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    • 2002
  • We consider the problem y"=a(x,y)(y-b), y(0)=0, y'(1)=g(y(${\xi}$), y'(${\xi}$)), (0${\xi}$ fixed in(0,1)) as a model of steady-slate heat conduction in a rod when the heat flux at the end x = 1 is determined by observation of the temperature and heat flux at some interior point ${\xi}$. We establish conditions sufficient for existence, uniqueness.

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Calculation of Distributed Magnetic Flux Density under the Stator-Turn Fault Condition

  • Kim, Kyung-Tae;Hur, Jin;Kim, Byeong-Woo
    • Journal of Power Electronics
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    • v.13 no.4
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    • pp.552-557
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    • 2013
  • This paper proposed an analytical model for the distributed magnetic field analysis of interior permanent magnet-type blush-less direct current motors under the stator-turn fault condition using the winding function theory. Stator-turn faults cause significant changes in electric and magnetic characteristic. Therefore, many studies on stator-turn faults have been performed by simulation of the finite element method because of its non-linear characteristic. However, this is difficult to apply to on-line fault detection systems because the processing time of the finite element method is very long. Fault-tolerant control systems require diagnostic methods that have simple processing systems and can produce accurate information. Thus analytical modeling of a stator-turn fault has been performed using the winding function theory, and the distributed magnetic characteristics have been analyzed under the fault condition. The proposed analytical model was verified using the finite element method.

A Simple Posteriori Error Estimate Method For Adaptive Finite Element Mesh Generation Using Quadratic Shape Funtion (적응 유한 요소법을 위한 2차 형상 함수 오차 추정)

  • Kim, Hyeong-Seok;Choi, Hong-Soon;Choi, Kyung;Hahn, Song-Yop
    • Proceedings of the KIEE Conference
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    • 1988.07a
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    • pp.87-90
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    • 1988
  • This paper reports a simple posteriori error estimate method for adaptive finite element mesh generation using quadratic shape function especially for the magnetic field problems. The elements of quadratic shape function have more precise solution than those of linear shape function. Therefore, the difference of two solutions gives error quantity. The method uses the magnetic flux density error as a basis for refinement. This estimator is tested on two dimensional problem which has singular points. The estimated error is always under estimated but in same order as exact error, and this method is much simpler and more convenient than other methods. The result shows that the adaptive mesh gives even better rate of convergence in global error than the uniform mesh.

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A Compensation Method of Parameter Variations for the Speed-Sensorless Vector Control System of Induction Motors using Zero Sequence Third Harmonic Voltages (영상분 3고조파 전압을 이용한 속도센서없는 유도전동기 벡터제어 시스템의 파라미터 변동 보상)

  • Choe, Jeong-Su;Kim, Jin-Su;Kim, Yeong-Seok
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.48 no.2
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    • pp.75-82
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    • 1999
  • A compensation method of the motor parameters using zero sequence third harmonic voltage is presented for the speed sensorless vector control of the induction motor considering saturation of the flux. Generally, the air-gap flux of the saturated induction motor contains the space harmonic components rotating with the synchronous frequency of the motor. Because the EMF of the saturated induction motor contains the zero sequence harmonic voltages at the neutral point of the motor, those harmonic voltages can be used as a saturation index. In this work, the rotor flux observer is firstly designed for the speed sensorless vector control of induction motor. And a novel measurement method of the space harmonic voltage and a compensation method of th LPF(Low Pass Filter) are proposed. For compensating the non-linear variations of the magnetizing inductance depending on the saturation level of the motor, the dominant third harmonic voltage of the motor is used as a saturation function of the air-gap flux. And the variation of the stator resistance owing to the motor temperature can also be measured with the phase angle between the impressed voltage vector and the zero sequence voltage. The validity of the proposed parameter compensation scheme in the speed sensorless vector control using rotor flux observer is verified by the result of the simulations and the experiments.

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The Estimation Method Comparison of Iron Loss Coefficients through the Iron Loss Calculation

  • Kim, Yong-Tae;Cho, Gyu-Won;Kim, Gyu-Tak
    • Journal of Electrical Engineering and Technology
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    • v.8 no.6
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    • pp.1409-1414
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    • 2013
  • A new calculation method for iron loss coefficients is proposed by using the Steinmetz equation from Epstein data. The hysteresis loss must have linear characteristic according to the frequency. However, the existing iron loss coefficients are defined by formula of frequency. In this case, the hysteresis loss has non-linear characteristics by frequency. So, in this paper, the iron loss coefficients were defined by a function of the magnetic flux density, and the iron loss calculation is applied for Interior Permanent Magnet Synchronous Motor(IPMSM) of 600(W) and 200(W). The iron loss calculation results and the experimental results are compared according to the various materials.

Flux Model of One-shaft Rotary Disc UF Module for the Separation of Oil Emulsion (1축 회전판형 UF 모듈의 투과모델 및 Oil Emulsion 분리 특성)

  • 김제우;노수홍
    • Membrane Journal
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    • v.6 no.2
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    • pp.86-95
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    • 1996
  • Rotary disc ultrafiltration module(RDM) was developed for the separation of oil e$$\mu$sions. This module was devised to reduce the gel polarization phenomenon by decoupling the operation pressure and the surface velocity of solution in ultrafiltration(UF) processes. The rotary disc membrane consists of 3mm-thick ABS plate covered with UF membrane (UOP, U.S.A.). When the angular velocity($\omega$) was increased, the pure water flux was slightly decreased due to pressure drop caused by centrifugal force and slip flow at the surface of membrane. The pressure drop was proportional to the square of linear velocity(${\omega}r$). When the angular velocity was changed from 52.36rad/s to 2.62rad/s, the flux decline for 5% cutting oil in one-shaft RDM at $25^{\circ}C$ and 0.1MPa was 30.16%. In the lower concentrations, angular velocity tends to give less effect on the flux. Flux(J; $kg/m^{2} \cdot s$) in a rotating disc module is mainly a function of the bulk concentration($C_{B}$; %), the linear velocity(${\omega}r$; m/s) and the effective transmembrane pressure($\Delta P_{T}$ ; Pa). Using a modified resistance-in-series model, the flux data of cutting oil experiments were fitted to give the following equation.

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A Study on Charring Rate of Wood Exposed to a Constant Incident Radiation Heat Flux (일정한 복사열원에 노출된 목재의 탄화속도에 관한 연구)

  • Park Hyung-Ju;Kim Hong
    • Fire Science and Engineering
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    • v.18 no.4
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    • pp.86-92
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    • 2004
  • We tested five specimens of each species at each of five constant external heat flux levels (10, 15, 20, 25. and 35㎾/㎡). An Cone heater was used to expose the wood specimens to the heat flux. The 100-by 100-by 50-㎜ specimens were of four species: Redwood, White oak, Douglas fir, Maple. In result of test, charring of wood exposed to a constant external heat flux can be considered a linear with function of time. As compared with the charring rates Redwood is most rapidly, but on the other hand Douglas fir is most slowly. When the external heat flux is 35㎾/㎡, the charring rate is rapidly about twice then 10㎾/㎡. Using the Equation (2), the estimates for u were 1.02, 1.16, 1.23, 1.32, and 1.44 for the 10, 15, 20, 25, and 35 kw/m2 constant external exposure levels, respectively.

A Linear Stability Analysis of Unsteady Combustion of Solid Propellants (고체추진제 비-정상연소의 선형 안정성해석)

  • 이창진;김성인;변영환
    • Journal of the Korean Society of Propulsion Engineers
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    • v.2 no.1
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    • pp.59-66
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    • 1998
  • The combustion instability analysis of solid propellants is generally done by the simplified governing equations for chemically inert condensed phase region with QSHOD assumption. Since the gas phase and surface reaction layer can be more rapidly relaxed to the external perturbations than the condensed phase, these regions are treated as quasi-steady manner in the analysis. In this paper, the classical ZN(Zeldovic-Novozhilov)approach was re-examined with the presence of radiation augmented burning enhancement in the combustion. Also, the surface reaction was assumed to partially absorb the incident radiant heat fluxes and pass the remaining to the chemically inert condensed phase. As a result of the analysis, the burning rate response function was obtained which consists of a pressure response function and a radiation response function. The response function was shown to be able to predict the results of T-burner tests.

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Modeling and Analysis of a Novel Two-Axis Rotary Electromagnetic Actuator for Fast Steering Mirror

  • Long, Yongjun;Wang, Chunlei;Dai, Xin;Wei, Xiaohui;Wang, Shigang
    • Journal of Magnetics
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    • v.19 no.2
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    • pp.130-139
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    • 2014
  • This paper focuses on the modeling and analysis a novel two-axis rotary normal-stress electromagnetic actuator with compact structure for fast steering mirror (FSM). The actuator has high force density similar to a solenoid, but its torque output is nearly a linear function of both its driving current and rotation angle, showing that the actuator is ideal for FSM. In addition, the actuator is designed with a new cross topology armature and no additional axial force is generated when the actuator works. With flux leakage being involved in the actuator modeling properly, an accurate analytical model of the actuator, which shows the actuator's linear characteristics, is obtained via the commonly used equivalent magnetic circuit method. Finally, numerical simulation is presented to validate the analytical actuator model. It is shown that the analytical results are in a good agreement with the simulation results.