• 제목/요약/키워드: Harmonic function

검색결과 547건 처리시간 0.038초

The dynamic response of the FGM coated half-plane with hysteretic damping under time harmonic loading

  • Xiao-Min Wang;Liao-Liang Ke;Yue-Sheng Wang
    • Structural Engineering and Mechanics
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    • 제87권1호
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    • pp.95-106
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    • 2023
  • This paper investigates the dynamic response of a functionally graded material (FGM) coated half-plane excited by distributed time harmonic loading. Three types of typical distributed surface loads, including uniform load, Hertz load, and square-root singular load, are considered. The mass density and elastic modulus of the FGM coating are supposed to be described by the exponential function. The material damping is modelled by a linearly hysteretic damping which is expressed by a complex modulus in the time harmonic motion. Using Fourier integral transform technique and numerical integral method, the effects of the excitation frequency, gradient index, damping, and load type on the dynamic stresses and displacements are discussed.

EULER SUMS EVALUATABLE FROM INTEGRALS

  • Jung, Myung-Ho;Cho, Young-Joon;Choi, June-Sang
    • 대한수학회논문집
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    • 제19권3호
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    • pp.545-555
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    • 2004
  • Ever since the time of Euler, the so-called Euler sums have been evaluated in many different ways. We give here a proof of the classical Euler sum by following Lewin's method. We also consider some related formulas involving Euler sums, which are evaluatable from some known definite integrals.

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

  • 최정수;김진수;김영석
    • 대한전기학회논문지:전기기기및에너지변환시스템부문B
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    • 제48권2호
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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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ON THE CONTINUITY OF THE HARDY-LITTLEWOOD MAXIMAL FUNCTION

  • Park, Young Ja
    • 충청수학회지
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    • 제31권1호
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    • pp.43-46
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    • 2018
  • It is concerned with the continuity of the Hardy-Little wood maximal function between the classical Lebesgue spaces or the Orlicz spaces. A new approach to the continuity of the Hardy-Littlewood maximal function is presented through the observation that the continuity is closely related to the existence of solutions for a certain type of first order ordinary differential equations. It is applied to verify the continuity of the Hardy-Littlewood maximal function from $L^p({\mathbb{R}}^n)$ to $L^q({\mathbb{R}}^n)$ for 1 ${\leq}$ q < p < ${\infty}$.

Rolling Tire 모드해석을 위한 회전주기성분제거에 대한 연구 (The Study of harmonic peaks removal for modal analysis of Rolling tire)

  • 최정현;이상주;박주배
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2005년도 춘계학술대회논문집
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    • pp.409-412
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    • 2005
  • Just as the vibration modes of a beam are dependent on its end constraints or boundary conditions. Vibration modes of a tire are dependent on its patch and spindle constraints. This dependence is key to understanding the dynamic properties of a tire and is apparent in various analytical and experimental investigations in the literature. One of the main task in a modal analysis is the measurement of the Frequency Response Function (FRFs). Because all the subsequent analysis is based on these FRFs, their quality is critically important in obtaining accurate modal parameter estimates. In rotating systems, FRFs are frequently contaminated by harmonic peaks related to such factors as imbalance, misalignment. This harmonic peaks appear in the FRFs as sharp spikes, which can be erroneously treated in modal curve-fitting procedures as structural modes. The harmonic peaks removal method is demonstrated by application to modal analysis on rotating tires. The results show substantial improvement in FRF quality.

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자여자 풍력 유도발전기의 캐패시터에 따른 고조파 전류의 증폭 (Amplification of Current Harmonics Due to Self-Excitation Capacitors for Wind Induction Generators)

  • 오용;최용성;황종선;이경섭
    • 전기학회논문지P
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    • 제57권2호
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    • pp.192-197
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    • 2008
  • The value of this paper is to use reduced size apparatuses to perform field measurement in order to identify and validate that the harmonic-current effects are due to the presence of self-excitation capacitance connected at stator's terminals of the studied SEIG. This paper has presented the measured electrical quantities of a three-phase $\Delta$-connected wind induction generator (WIG) under sudden connection and disconnection of resistive loads. An intelligent power-system recorder/monitor has been employed to measure three-phase voltages and currents of the studied system at the terminals of the studied WIG and the load. The measured electrical quantities have been analyzed. Total harmonic distortion (THD) of current using cumulative probability density function has been employed to determine the penetration of harmonic distortion at load side. The results show that the harmonic currents generated by the studied WIG can be severely amplified by the connected self-excited capacitance at the stator's terminals.

전력시스템 고조파 상태 춘정에서 GA를 미용한 최적 측정위치 선정 (Optimal Placement of Measurement Using GAs in Harmonic State Estimation of Power System)

  • 정형환;왕용필;박희철;안병철
    • 대한전기학회논문지:전력기술부문A
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    • 제52권8호
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    • pp.471-480
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    • 2003
  • The design of a measurement system to perform Harmonic State Estimation (HSE) is a very complex problem. Among the reasons for its complexity are the system size, conflicting requirements of estimator accuracy, reliability in the presence of transducer noise and data communication failures, adaptability to change in the network topology and cost minimization. In particular, the number of harmonic instruments available is always limited. Therefore, a systematic procedure is needed to design the optimal placement of measurement points. This paper presents a new HSE algorithm which is based on an optimal placement of measurement points using Genetic Algorithms (GAs) which is widely used in areas such as: optimization of the objective function, learning of neural networks, tuning of fuzzy membership functions, machine learning, system identification and control. This HSE has been applied to the Simulation Test Power System for the validation of the new HSE algorithm. The study results have indicated an economical and effective method for optimal placement of measurement points using Genetic Algorithms (GAs) in the Harmonic State Estimation (HSE).

고조파를 고려한 방사기저함수 네트워크 기반의 부하모델링 기법 (Load Modeling Method Based on Radial Basis Function Networks Considering of Hormonic components)

  • 지평식;이대종;이종필;임재윤
    • 조명전기설비학회논문지
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    • 제22권4호
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    • pp.46-53
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    • 2008
  • 본 연구에서는 고조파를 고려한 방사기저함수 네트워크 기반의 부하모델링 기법을 개발하였다. 개발된 부하모델은 입력정보로서 기본 주파수와 기본 전압 외에 고조파 성분도 고려하여 전압 및 주파수뿐만 아니라 고조파의 영향에 대해서도 효과적으로 부하를 추정할 수 있도록 구성하였다. 부하모델링을 위해 적용된 방사기저함수 네트워크는 기존에 널리 사용되는 다층 신경망에 비해 구조가 간단하고 수렴속도가 빠른 장점을 지니고 있다. 개발된 부하모델링 기법은 기존에 널리 사용되는 다항식과 다층 신경회로망 및 고조파 성분을 고려하지 않은 방사기저함수 네트워크를 이용한 부하모델 기법과 비교함으로써 제안방법의 타당성을 검증하였다.

LCL Filter Design Method for Grid-Connected PWM-VSC

  • Majic, Goran;Despalatovic, Marin;Terzic, Bozo
    • Journal of Electrical Engineering and Technology
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    • 제12권5호
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    • pp.1945-1954
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    • 2017
  • In recent years, several LCL filter design methods for different converter topologies have been published, many of which use analytical expressions to calculate the ideal converter AC voltage harmonic spectrum. This paper presents the LCL filter design methodology but the focus is on presentation and validation of the non-iterative filter design method for a grid-connected three-phase two-level PWM-VSC. The developed method can be adapted for different converter topologies and PWM algorithms. Furthermore, as a starting point for the design procedure, only the range of PWM carrier frequencies is required instead of an exact value. System nonlinearities, usually omitted from analysis have a significant influence on VSC AC voltage harmonic spectrum. In order to achieve better accuracy of the proposed procedure, the system nonlinear model is incorporated into the method. Optimal filter parameters are determined using the novel cost function based on higher frequency losses of the filter. An example of LCL filter design for a 40 kVA grid-connected PWM-VSC has been presented. Obtained results have been used to construct the corresponding laboratory setup and measurements have been performed to verify the proposed method.

DSP를 이용한 엑티브 필터 기능 추가형 태양광발전시스템의 운전특성에 관한 연구 (A Study on PV Power Generation System Adding the Function of Shunt Active Filler Using DSP)

  • 서효룡;박영길;김종현;박민원;유인근
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2006년도 제37회 하계학술대회 논문집 B
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    • pp.1169-1170
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    • 2006
  • Grid connected PV(Photovoltic) generation systems are becoming and actual and general. The power output of PV system is directly affected by the weather conditions. And when AC power supply is needed, power conversion by an inverter and a MPPT control are necessary. The PV power generation system can be treated to a harmonics source for the power distribution system. So, the PV system combined the function of active filter system can be useful applied in power distribution system. AF(Active Filters) intended for harmonic solutions are expending their functions from harmonic compensation of nonlinear loads into harmonic isolation between utilities and consumer. With the test analysis of the proposed control strategy of PV-AF system, the outcome of the test shows the stability and effectiveness of the proposed PV-AF system. The various capability of AF has been proved in previous research and usage. In this paper, authors present a DSP controlled PV-AF system for power conditioning in three-phase industrial or commercial power systems and verify it through experimental results.

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