• Title/Summary/Keyword: power series expansion

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Characteristic Analysis of Single Phase SRM Using Fourier Series (퓨리에 급수를 이용한 단상 SRM 특성 해석)

  • Lee, Jong-Han;Lee, Eun-Woong;Kim, Yong-Heon
    • Proceedings of the KIEE Conference
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    • 2004.04a
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    • pp.80-82
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    • 2004
  • The single phase switched reluctance motor(SRM) is more simpler and robust in the structure than poly phase SRM. It has the merits that it reduces the switching elements and the energy density per volume is very high. Recently, it has been researched and developed in various types and starting method due to the technique of power electronics and the computer added design. This paper presents a analytical representation of the phase inductance of a single phase SRM, as function of position and current, taking into account the non-linearity of the magnetic circuit. the method is based on Fourier series expansion. Analytical expressions for the calculation of instantaneous phase inductance, flux linkage, coenergy and electromagnetic torque as a function of rotor position and winding currents are derived.

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Influence of High Temperature Deformation Process Variables on the Microstructure and Thermo-physical Properties of a Ni-Fe-Co Alloy (Fe-Ni-Co 합금의 고온 변형 공정 변수와 미세조직 및 열물리적 특성의 상관 관계)

  • Yoon, D.H.;Jung, J.E.;Chang, Y.W.;Lee, J.H.;Lee, K.S.
    • Transactions of Materials Processing
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    • v.21 no.3
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    • pp.207-214
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    • 2012
  • High temperature deformation behavior of a $Ni_{30}Fe_{53}Co_{17}$ alloy, with its extraordinary low coefficient of thermal expansion less than $10{\times}10^{-6}K^{-1}$ at temperatures ranging from room temperature to 673K, was investigated by conducting a series of compression tests. From an empirical processing map, the appropriate working temperature-strain rate combination for optimum forming was deduced to be in the ~1373K, $10^{-2}s^{-1}$ region. This region has a relatively high power dissipation efficiency, greater than 0.36. Furthermore, open die forging of a 100mm diameter billets was performed to confirm the variation of thermo-physical properties in relation to microstructure. The coefficient of thermal expansion was found to increase considerably with increasing the open die forging temperature and decreasing the cooling rate, which in turn provides a drastic increase in the average grain size.

Pile tip grouting diffusion height prediction considering unloading effect based on cavity reverse expansion model

  • Jiaqi Zhang;Chunfeng Zhao;Cheng Zhao;Yue Wu;Xin Gong
    • Geomechanics and Engineering
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    • v.37 no.2
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    • pp.97-107
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    • 2024
  • The accurate prediction of grouting upward diffusion height is crucial for estimating the bearing capacity of tip-grouted piles. Borehole construction during the installation of bored piles induces soil unloading, resulting in both radial stress loss in the surrounding soil and an impact on grouting fluid diffusion. In this study, a modified model is developed for predicting grout diffusion height. This model incorporates the classical rheological equation of power-law cement grout and the cavity reverse expansion model to account for different degrees of unloading. A series of single-pile tip grouting and static load tests are conducted with varying initial grouting pressures. The test results demonstrate a significant effect of vertical grout diffusion on improving pile lateral friction resistance and bearing capacity. Increasing the grouting pressure leads to an increase in the vertical height of the grout. A comparison between the predicted values using the proposed model and the actual measured results reveals a model error ranging from -12.3% to 8.0%. Parametric analysis shows that grout diffusion height increases with an increase in the degree of unloading, with a more pronounced effect observed at higher grouting pressures. Two case studies are presented to verify the applicability of the proposed model. Field measurements of grout diffusion height correspond to unloading ratios of 0.68 and 0.71, respectively, as predicted by the model. Neglecting the unloading effect would result in a conservative estimate.

Spectral Analysis of DC Link Ripple Currents in Three-Phase AC/DC/AC PWM Converters (3상 AC/DC/AC PWM 컨버터의 직류링크 리플전류의 주파수 영역 해석)

  • 이동춘;박영욱;석줄기
    • The Transactions of the Korean Institute of Power Electronics
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    • v.7 no.3
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    • pp.244-252
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    • 2002
  • In this paper, do link ripple currents for three-phase ac/dc/ac PWM converters feeding adjustable speed ac machine drives are analysed in a frequency domain. The expression of the harmonic currents is developed by using switching functions of the converter and exponential courier series expansion. The effect of the displacement angle between the switching Periods of line-side converters and motor-side inverters on the dc link ripple currents is Investigated. Also, the influence of asynchronization of PWM is observed. The result of analysis is compared with frequency spectrum which results from PSIM simulation. The proposed analysis technique is useful to understand the principles of P% and to derive an equivalent model of the dc link capacitors in a high frequency range.

Repetitive model refinement for structural health monitoring using efficient Akaike information criterion

  • Lin, Jeng-Wen
    • Smart Structures and Systems
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    • v.15 no.5
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    • pp.1329-1344
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    • 2015
  • The stiffness of a structure is one of several structural signals that are useful indicators of the amount of damage that has been done to the structure. To accurately estimate the stiffness, an equation of motion containing a stiffness parameter must first be established by expansion as a linear series model, a Taylor series model, or a power series model. The model is then used in multivariate autoregressive modeling to estimate the structural stiffness and compare it to the theoretical value. Stiffness assessment for modeling purposes typically involves the use of one of three statistical model refinement approaches, one of which is the efficient Akaike information criterion (AIC) proposed in this paper. If a newly added component of the model results in a decrease in the AIC value, compared to the value obtained with the previously added component(s), it is statistically justifiable to retain this new component; otherwise, it should be removed. This model refinement process is repeated until all of the components of the model are shown to be statistically justifiable. In this study, this model refinement approach was compared with the two other commonly used refinement approaches: principal component analysis (PCA) and principal component regression (PCR) combined with the AIC. The results indicate that the proposed AIC approach produces more accurate structural stiffness estimates than the other two approaches.

Effective Calculation Method Finding the Limit of Voltage-Stability (효율적인 전압안정도 한계점 계산에 관한 연구)

  • Song, K.Y.;Kim, S.Y.;Choi, S.G.
    • Proceedings of the KIEE Conference
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    • 1991.11a
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    • pp.35-38
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    • 1991
  • Recent, problems on the voltage-instability have been paid attention in power system and methods to find the limit of voltage-stability, concerned with these problems, were developed. However, these methods are short of precision on the limit of voltage-instability. Here, using the second-order load flow, constraint equation(d Pi/d Vi=0) and its patial differentiations are precisely formulated. Also, since the taylor series expansion of power flow equations terminates at the second-order terms, partial differentiations of constraint equation, that is Hessian, are constant. Then, Hessian matrix are calculated once during iteration process.

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DC Link Currents in Frequency Domain for Three-Phase AC/DC/AC PWM Converters

  • Park Young-Wook;Lee Dong-Choon;Seok Jul-Ki
    • Proceedings of the KIPE Conference
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    • 2001.10a
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    • pp.169-173
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    • 2001
  • In this paper, dc link ripple currents for three-phase ac/dc/ac PWM converters are ana lysed in a frequency domain. The expression of the harmonic currents is developed by using switching functions and exponential Fourier series expansion. The dc link ripple currents with regard to power factor and modulation index are investigated. In addition, the effect of the displacement angle between the switching periods of line-side converters and load-side inverters on the dc link ripple current is studied. The result of the dc link current analysis is helpful in specifying the dc link capacitor size and its lifetime estimation.

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A Controller Design of a Magnetic Levitation System (자기부상 시스템의 제어기 설계)

  • Ha, Y.W.
    • Journal of Power System Engineering
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    • v.4 no.3
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    • pp.62-71
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    • 2000
  • A mathematical modeling for a magnetic levitation system is proposed using the Taylor series expansion of differential function for obtaining linearity. It is confirmed that this kind of linear approximation method can be used to the modeling of a magnetic levitation system. The two-degree-of-freedom optimal servo system for a constant reference signal is proposed using the LQ optimization technique. An additional state feedback is introduced at the output of the integrator to cancel the integral action for reference signal if there is no modeling error of the plant and no disturbance input to the plant. When the modeling error or the disturbance input exists, the integral effect appears. The system has a free parameter which can b used to tune the effect of the integral compensation.

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Tension Modeling and Looper-Tension ILQ Servo Control of Hot Strip Finishing Mills (열간 사상압연기의 장력 연산모델과 루퍼-장력 ILQ 서보 제어)

  • Hwang, I.C.;Park, C.J.
    • Journal of Power System Engineering
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    • v.12 no.1
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    • pp.72-79
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    • 2008
  • This paper designs a looper-tension controller for mass-flow stabilization in hot strip finishing mills. By Newton's 2nd law and Hooke's law, nonlinear dynamic equations on the looper-tension system are firstly derived, and linearized by a linearization algorithm using a Taylor's series expansion. Moreover, a tension calculation model is obtained from the nonlinear dynamic equations which is called as a soft sensor of strip tension between two neighboring stands. Next, a looper-tension servo controller is designed by an ILQ(Inverse Linear Quadratic optimal control) algorithm, and it is combined with a minimal disturbance observer which to attenuate speed disturbances by AGC and operator interventions, etc.. Finally, it is shown from by a computer simulation that the proposed ILQ controller with a disturbance observer is very effective in stabilizing the strip mass-flow under some disturbances, moreover it has a good command following performance.

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Overmodulation Operation of SVM for NPC Type 3-Level Inverter (NPC형 3레벨 인버터의 공간벡터 과변조운전)

  • Lee, Jae-Moon;Choi, Jae-Ho
    • The Transactions of the Korean Institute of Power Electronics
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    • v.13 no.1
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    • pp.22-32
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    • 2008
  • This paper proposes a linearization technique for the 3-level NPC type inverter, which increases the linear control range of Inverter up to the one-pulse inverter. The overmodulation range is divided into two modes depending on the Modulation Index, MI. In overmodulation region I, the reference angles are derived from the fourier series expansion of the reference voltage corresponding to the MI. In overmodulation region II, the holding angles are also derived in the same way. Therefore, it is possible to obtain the linear control and the maximized utilization of PWM inverter output voltage.