• 제목/요약/키워드: harmonic functions

검색결과 280건 처리시간 0.03초

플랜트 설계 시 배관진동을 유발하는 가진 함수의 수학적 모델링 (A Study on Mathematical Modeling of Forcing Function for the Piping Vibration of Petrochemical Plant Design)

  • 민선규;최명진
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1997년도 추계학술대회 논문집
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    • pp.591-595
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    • 1997
  • In analysis of piping vibration of petrochemical plant, the forcing functions mainly depend upon the equipment working mechanism and vibration resources in the piping systems. In general, harmonic function is used for the system with rotary equipments. Mechanical driving frequencies, wave functions, and response spectrum are used for reciprocating compressors, surge vibration of long transfer piping, and seismic/wind vibration, respectively. In this study, for the spray injection case inside the pipe, forcing function was modeled, in which two different fluids are distributed uniformly. To confirm the results, the scheme used for the forcing function was applied for real piping system. The vibration mode of the real system was consistent with the 4th mode obtained by simulation using the forcing function formulated in this study.

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전압보상 기능을 갖는 능동 전력 필터 (Active Power Filter with Voltage Compensating Function)

  • 강성곤;이광주;최기원;소정환;최규하
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1994년도 하계학술대회 논문집 A
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    • pp.334-336
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    • 1994
  • The conventional APF(Active Power Filter) system performs only function which is compensated for source harmonic by injecting harmonic compensation current as well as reactive power component by PWM. This paper presents a new APF which provides the combined functions of VC(Voltage Compensator) and conventional APF, because the structure of APF is similar to stand- alone UPS in parallel type. Single-chip microprocessor plays an important role in controlling each function. Simulation obtained from ACSL are shown to verify multi-functions of new APP.

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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).

Discontinuous finite-element quadrature sets based on icosahedron for the discrete ordinates method

  • Dai, Ni;Zhang, Bin;Chen, Yixue
    • Nuclear Engineering and Technology
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    • 제52권6호
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    • pp.1137-1147
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    • 2020
  • The discrete ordinates method (SN) is one of the major shielding calculation method, which is suitable for solving deep-penetration transport problems. Our objective is to explore the available quadrature sets and to improve the accuracy in shielding problems involving strong anisotropy. The linear discontinuous finite-element (LDFE) quadrature sets based on the icosahedron (in short, ICLDFE quadrature sets) are developed by defining projected points on the surfaces of the icosahedron. Weights are then introduced in the integration of the discontinuous finite-element basis functions in the relevant angular regions. The multivariate secant method is used to optimize the discrete directions and their corresponding weights. The numerical integration of polynomials in the direction cosines and the Kobayashi benchmark are used to analyze and verify the properties of these new quadrature sets. Results show that the ICLDFE quadrature sets can exactly integrate the zero-order and first-order of the spherical harmonic functions over one-twentieth of the spherical surface. As for the Kobayashi benchmark problem, the maximum relative error between the fifth-order ICLDFE quadrature sets and references is only -0.55%. The ICLDFE quadrature sets provide better integration precision of the spherical harmonic functions in local discrete angle domains and higher accuracy for simple shielding problems.

Closed-form Green's functions for transversely isotropic bi-solids with a slipping interface

  • Yue, Zhong Qi
    • Structural Engineering and Mechanics
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    • 제4권5호
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    • pp.469-484
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    • 1996
  • Green's functions are obtained in exact closed-forms for the elastic fields in bi-material elastic solids with slipping interface and differing transversely isotropic properties induced by concentrated point and ring force vectors. For the concentrated point force vector, the Green functions are expressed in terms of elementary harmonic functions. For the concentrated ring force vector, the Green functions are expressed in terms of the complete elliptic integral. Numerical results are presented to illustrate the effect of anisotropic bi-material properties on the transmission of normal contact stress and the discontinuity of lateral displacements at the slipping interface. The closed-form Green's functions are systematically presented in matrix forms which can be easily implemented in numerical schemes such as boundary element methods to solve elastic problems in computational mechanics.

켤레조화함수를 이용한 비순차적 의류 주름 모사 알고리즘 (A Non-consecutive Cloth Draping Simulation Algorithm using Conjugate Harmonic Functions)

  • 강문구
    • 한국정보과학회논문지:소프트웨어및응용
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    • 제32권3호
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    • pp.181-191
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    • 2005
  • 본 논문에서는 컴퓨터그래픽으로 구현된 인체에 착용되는 의류의 시뮬레이션을 위한 수치해석알고리즘 및 소프트웨어 개발을 수행하였다. 개발된 알고리즘은 수학적으로 elliptical 흑은 비순차적인 성질을 가지는 두 개의 켤레조화함수(conjugate harmonic functions)들을 사용하여, 지나간 시간단계(time step)에서의 견과에 의존하지 않고 매 순간의 역학적 균형만으로 의류에 형성되는 주름의 형태를 표현한다. Global-local 해석기법을 채택하여 global 스케일에서의 전체적인 변형과 local 스케일에서의 부분적인 변형으로 나누었으며, 이 두 가지 스케일에서의 해석 결과가 선형적으로 중첩될 수 있음을 가정하였다. Global 해석에서는 신체 각 부위의 회전이나 평행이동, 뒤틀림 등의 전반적인 변형에 따른 인체와의 접촉점의 변화와 응력을 고려하였다. Local 해석에서는 국소적인 주름의 형상을 얻기 위해 주름의 진폭등고선과 주름의 방향 사이의 직교성을 가정하여 단순화 시켰다. 본 제안 방법은 불연속적으로 변화하는 두 개의 서로 다른 자세에 대해서도 중간단계 해석을 위한 시간증분의 삽입이 불필요하며, 기존의 방식에서 주로 사용되는 시간적분의 방법을 채택하지 않으므로 연산 시간의 절감과 안정성의 향상이 이루어졌다. 임의의 두 자세 사이의 연속 동작을 시뮬레이션 함에 있어서도 두 정지 자세 사이의 움직임을 보간법으로 구현하여 연속적인 의류의 변형을 구현할 수 있었다.

하드 디스크 드라이브에서 나이퀴스트 주파수 안의 고조파 외란 보상 (Compensation of Harmonic Disturbances within Nyquist Frequency in Hard Disk Drives)

  • 서상민
    • 제어로봇시스템학회논문지
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    • 제16권9호
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    • pp.872-875
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    • 2010
  • This paper describes new harmonic disturbance compensation based on a peak filter array for Hard Disk Drives. Unlike a conventional method, the proposed method does not require any sin/cos functions or tables and reduces effects of all harmonic disturbances within a nyquist frequency. Two factors are introduced to parameterize stability and a gain tune. In addition, it is verified that the order of the proposed filter is minimal. From 600 experimental results, 8.5% performance improvement is achieved.

VSI-IM 구동시스템의 고동작 및 고주파영향 최소화를 위한 MM PWM 방식 (MM PWM Scheme for High Performance and Harmonic Effects Minimization of VSI-IM Drive System)

  • Min Soo Kim
    • 대한전자공학회논문지
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    • 제25권1호
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    • pp.42-48
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    • 1988
  • MM(multimode) PWM(pulse width modulation) Suitable for high performance and harmonic effects minimization of VSI (voltabge source invertetr)-IM (induction motor)drive system is proposed. The approximated optimal, suboptimal and optimal PWM are implemented in the low frequency range, while square wave operation is realized in the hibh frequency range. The pulse width Modulator is capable of generating control signals to a transistorized inverter operating at about 1KHz. All functions except digital comparison have been implemented in softyware making the scheme economical, flexible and reliable. Pulse width modulator is built and tested experimentally. In order to confirm the effectiveness and the reliability of the theoretical proposition, this scheme is applied to 1Hp, Three phase IM. As results, it is concluded that the scheme of MM PWM is superior to other conventional switching scheme through the discussions or analysis carried out on the items such as line-to-line voltage, current and spectrum of current harmonic components observed at the output terminal of inverter, noise level of motor.

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LINE SIDE HARMONIC ANALYSIS OF SINGLE-PHASE DIODE BRIDGE RECTIFIER WITH A DC FILTER CAPACITOR

  • Liu, Jinjun;Wang, Zhaoan
    • 전력전자학회:학술대회논문집
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    • 전력전자학회 1998년도 Proceedings ICPE 98 1998 International Conference on Power Electronics
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    • pp.603-608
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    • 1998
  • Single-phase diode bridge rectifiers with dc filter capacitor usually operate in discontinuous mode and generate large amounts of harmonic currents. This paper presents a precise harmonic analysis of the line side current in the case that both the filter inductor and the filter capacitor are not infinite. The analytical expressions of the line side performance parameters associated with harmonics are derived. The curves that show the relationship of these parameters associated with harmonics are derived. The curves that show the relationship of these parameters as the functions of circuit parameters are illustrated. By simulation the results are verified to be accurate and the conclusion clearly reveals the relations between the line side performance parameters and circuit parameters.

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Converter Utilization Ratio Enhancement in the THD Optimization of Cascaded H-Bridge 7-level Inverters

  • Khamooshi, Reza;Namadmalan, Alireza;Moghani, Javad Shokrollahi
    • Journal of Power Electronics
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    • 제16권1호
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    • pp.173-181
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    • 2016
  • In this paper, a new technique for harmonic optimization in cascaded H-bridge 7-level inverters is proposed. The suggested strategy is based on minimizing an objective function which simultaneously optimizes the converter utilization and Total Harmonic Distortion (THD). The Switch Utilization Ratio (SUR) is formulized for both the phase and line-line voltages of a 7-level inverter and is considered in the final objective functions. Based upon the SUR formula, utilization ratio enhancement will reduce the value of feeding DC links, which improves the efficiency and lifetime of the circuit components due to lower voltage stresses and losses. In order to achieve more effective solution in different modulation indices, it is assumed that the DC sources can be altered. Experimental validation is presented based on a three-phase 7-level inverter prototype.