• Title/Summary/Keyword: Space harmonic analysis method

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Model Predictive Control for Shunt Active Power Filter in Synchronous Reference Frame

  • Al-Othman, A.K.;AlSharidah, M.E.;Ahmed, Nabil A.;Alajmi, Bader. N.
    • Journal of Electrical Engineering and Technology
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    • v.11 no.2
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    • pp.405-415
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    • 2016
  • This paper presents a model predictive control for shunt active power filters in synchronous reference frame using space vector pulse-width modulation (SVPWM). The three phase load currents are transformed into synchronous rotating reference frame in order to reduce the order of the control system. The proposed current controller calculates reference current command for harmonic current components in synchronous frame. The fundamental load current components are transformed into dc components revealing only the harmonics. The predictive current controller will add robustness and fast compensation to generate commands to the SVPWM which minimizes switching frequency while maintaining fast harmonic compensation. By using the model predictive control, the optimal switching state to be applied to the next sampling time is selected. The filter current contains only the harmonic components, which are the reference compensating currents. In this method the supply current will be equal to the fundamental component of load current and a part of the current at fundamental frequency for losses of the inverter. Mathematical analysis and the feasibility of the suggested approach are verified through simulation results under steady state and transient conditions for non-linear load. The effectiveness of the proposed controller is confirmed through experimental validation.

Determination of photorefrative constants in LiNbO$_3$ using second harmonic generation (제2고조파발생을 이용한 LiNbO$_3$의 중요 광굴절상수측정)

  • 김봉기;이범구
    • Korean Journal of Optics and Photonics
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    • v.12 no.3
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    • pp.230-234
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    • 2001
  • We report a simple method for determining photovoltaic constant and conductivities of any photorefractive crytals which have no inversion symmetry by utilizing the electric field dependence of non-phase-matched second harmonic generation. New theoretical expression for the electric field dependence of Maker fringes is derived and space charge field can be determined using this from the observed change of intensity of second harmonic wave. The photovoltaic constant, dark conductivity and photoconductivity are easily deduced from an analysis of the measured relaxation behavior of space-charge field at two different light intensities. We demonstrate this method for $LiNbO_3$ at 514.5 nm.4.5 nm.

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Harmonic differential quadrature (HDQ) for axisymmetric bending analysis of thin isotropic circular plates

  • Civalek, Omer;Ulker, Mehmet
    • Structural Engineering and Mechanics
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    • v.17 no.1
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    • pp.1-14
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    • 2004
  • Numerical solution to linear bending analysis of circular plates is obtained by the method of harmonic differential quadrature (HDQ). In the method of differential quadrature (DQ), partial space derivatives of a function appearing in a differential equation are approximated by means of a polynomial expressed as the weighted linear sum of the function values at a preselected grid of discrete points. The method of HDQ that was used in the paper proposes a very simple algebraic formula to determine the weighting coefficients required by differential quadrature approximation without restricting the choice of mesh grids. Applying this concept to the governing differential equation of circular plate gives a set of linear simultaneous equations. Bending moments, stresses values in radial and tangential directions and vertical deflections are found for two different types of load. In the present study, the axisymmetric bending behavior is considered. Both the clamped and the simply supported edges are considered as boundary conditions. The obtained results are compared with existing solutions available from analytical and other numerical results such as finite elements and finite differences methods. A comparison between the HDQ results and the finite difference solutions for one example plate problem is also made. The method presented gives accurate results and is computationally efficient.

A study on Optimization of the Design Variables of Linear Motor Using Genetic Algorithm (유전알고리즘을 이용한 리니어모터의 설계변수 최적화에 관한 연구)

  • Joo, Sang-Hyun;Jung, Jae-Han;Lee, Sang-Ryong
    • Journal of the Korean Society for Precision Engineering
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    • v.19 no.5
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    • pp.110-117
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    • 2002
  • This paper proposes a optimization of the design variables of linear motor for the improvement of thrust. Especially, this paper treats the shoe, which can be good to flow of a magnetic flux in linear motor. Firstly, this paper uses a space harmonic analysis method(SHAM) based on Fourier series, for analyzing the characteristics of core type linear motor, including slot structure and shoe. And compare the magnetic flux densities of linear motor at air gap with the results of the SHAM and the Finite Element Method(FEM). Secondly, this paper uses a genetic algorithm, which is good to find the global solutions. The design variables are the pole pitch of magnet, the pitch of slot, the height of slot, the width of shoe and the width of magnet. The maximum thrust with optimum design variables is about 247 N which is improved about 16%.

Eliminating the Third Harmonic Effect for Six Phase Permanent Magnet Synchronous Generators in One Phase Open Mode

  • Liu, Jian;Yang, Gui-Jie;Li, Yong;Gao, Hong-Wei;Su, Jian-Yong
    • Journal of Power Electronics
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    • v.14 no.1
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    • pp.92-104
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    • 2014
  • To insure stable operation and eliminate twice torque ripple, a topology for a six phase permanent magnet synchronous generator (SP-PMSG) with a neutral point connected together was analyzed in this paper. By adopting an extended transformation matrix, the mathematic model of the space vector control was established. The voltage and torque equations were deduced while considering the third harmonic flux and inductance. In addition, the suppression third harmonic method and the closed loop control strategy were proposed. A comparison analysis indicates that the cooper loss minimum method and the current magnitude minimum method can meet different application requirements. The voltage compensation amount for each of the methods was deduced which also takes into account the third harmonic effect. A simulation and experimental result comparison validates the consistency through theoretical derivation. It can be seen that all of the two control strategies can meet the requirements of post-fault.

Optimization of Slotless type Permanent Magnet Linear Synchronous Meter using Genetic Algorithms (유전 알고리즘을 이용한 Slotless type PMLSM의 최적화)

  • Lee, Dong-Yeup;Moon, Jae-Youn;Yoon, Kang-Jun;Kim, Gyu-Tak
    • Proceedings of the KIEE Conference
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    • 2003.07b
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    • pp.849-851
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    • 2003
  • This paper is deal with the method of design for optimum thrust model using genetic algorithms in slotless Permanent Magnet Linear Synchrous Motor (PMLSM). Characteristic analysis method is used 3D space harmonic analysis method. Design parameters are PM width and coil width.

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Analysis of Torque Characteristics for the Single-phase Induction Motor Considering Space Harmonics

  • Kim Byung-Taek;Lee Sung-Ho;Kwon Byung-Il
    • Journal of Electrical Engineering and Technology
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    • v.1 no.3
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    • pp.327-331
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    • 2006
  • This paper presents the analysis method for the torque characteristic of the 1-phase induction motor considering space harmonics in the air gap. The equivalent circuit method is used, where the circuit constants are obtained by classic theory. In addition, the space harmonic components in air gap magneto motive force are analyzed and added to the equivalent circuit to obtain accurate torque characteristics in low speed regions. Each torque component due to the harmonics is calculated and the total torque characteristic is obtained and compared with the measurement result.

Nonlinear Dynamic Analysis of Fiber Movement

  • Shen Danfeng;Ye Guoming
    • Fibers and Polymers
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    • v.7 no.2
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    • pp.191-194
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    • 2006
  • This paper adopts nonlinear vibration method to analyze the fluctuation process of fiber movement. Based on Hamilton Principle, this paper establishes differential equation of fiber axial direction movement. Using variable-separating method, this paper separates time variable from space variable. By using the disperse movement equation of Galerkin method, this paper also discusses stable region of transition curve and points out those influencing factor and variation trend of fiber vibration.

Harmonic Estimation of Power Signal Based on Time-varying Optimal Finite Impulse Response Filter (시변 최적 유한 임펄스 응답 필터 기반 전력 신호 고조파 검출)

  • Kwon, Bo-Kyu
    • The Journal of Korean Institute of Information Technology
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    • v.16 no.11
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    • pp.97-103
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    • 2018
  • In this paper, the estimation method for the power signal harmonics is proposed by using the time-varying optimal finite impulse response (FIR) filter. To estimate the magnitude and phase-angle of the harmonic components, the time-varying optimal FIR filter is designed for the state space representation of the noisy power signal which the magnitude and phase is considered as a stochastic process. Since the time-varying optimal FIR filter used in the proposed method does not use any priori information of the initial condition and has FIR structure, the proposed method could overcome the demerits of Kalman filter based method such as poor estimation and divergence problem. Due to the FIR structure, the proposed method is more robust against to the model uncertainty than the Kalman filter. Moreover, the proposed method gives more general solution than the time-invariant optimal FIR filter based harmonic estimation method. To verify the performance and robustness of the proposed method, the proposed method is compared with time-varying Kalman filter based method through simulation.

An absolute displacement approach for modeling of sliding structures

  • Krishnamoorthy, A.
    • Structural Engineering and Mechanics
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    • v.29 no.6
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    • pp.659-671
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    • 2008
  • A procedure to analyse the space frame structure fixed at base as well as resting on sliding bearing using total or absolute displacement in dynamic equation is developed. In the present method, the effect of ground acceleration is not considered as equivalent force. Instead, the ground acceleration is considered as a known value in the acceleration vector at degree of freedom corresponding to base of the structure when the structure is in non-sliding phase. When the structure is in sliding phase, only a force equal to the maximum frictional resistance is applied at base. Also, in this method, the stiffness matrix, mass matrix and the damping matrix will not change when the structure enters from one phase to another. The results obtained from the present method using absolute displacement approach are compared with the results obtained from the analysis of structure using relative displacement approach. The applicability of the analysis is also demonstrated to obtain the response of the structure resting on sliding bearing with restoring force device.