• 제목/요약/키워드: Linear Perturbation Method

검색결과 173건 처리시간 0.026초

송전용 무효전력보상기의 제어시스템 설계와 성능해석 (Control System Design and Performance Analysis for Transmission Static Compensator)

  • 한병문;최대길
    • 전력전자학회논문지
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    • 제3권1호
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    • pp.77-84
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    • 1998
  • 본 논문에서는 비선형상태피드백을 적용한 무효전력보상기의 제어시스템을 설계하여 시뮬레이션과 축소모형 실험에 의한 성능해석에 관해 기술하였다. 무효전력 보상기의 수리모형을 3상 등가회로와 대표적인 동작점에 대한 상태방정식을 이용하여 도출하였으며, 비선형 상태피드백을 고려한 무효전력 보상기의 동특성을 표현하는 전달함수를 유도하였다. 또한 근궤적을 이용한 시스템 안정도 해석을 실시하여 제어시스템 설계를 실시하였다. 고안된 제어시스템의 성능해석은 EMTP를 이용한 시뮬레이션과 축소모형 실험을 통해 검증하였는데, 검증결과 고안된 제어시스템은 송전계통의 무효전력보상에 우수한 성능을 갖음이 확인되었다.

Free vibration of a rectangular plate with an attached three-degree-of-freedom spring-mass system

  • Febbo, M.;Bambill, D.V.;Rossi, R.E.
    • Structural Engineering and Mechanics
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    • 제40권5호
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    • pp.637-654
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    • 2011
  • The present paper studies the variation of the natural frequencies and mode shapes of rectangular plates carrying a three degree-of-freedom spring-mass system (subsystem), when the subsystem changes (stiffness, mass, moment of inertia, location). An analytical approach based on Lagrange multipliers as well as a finite element formulation are employed and compared. Numerically reliable results are presented for the first time, illustrating the convenience of using the present analytical method which requires only the solution of a linear eigenvalue problem. Results obtained through the variation of the mass, stiffness and moment of inertia of the 3-DOF system can be understood under the effective mass concept or Rayleigh's statement. The analysis of frequency values of the whole system, when the 3-DOF system approaches or moves away from the center, shows that the variations depend on each particular mode of vibration. When the 3-DOF system is placed in the center of the plate, "new" modes are found to be a combination of the subsystem's modes (two rotations, traslation) and the bare plate's modes that possess the same symmetry. This situation no longer exists as the 3-DOF system moves away from the center of the plate, since different bare plate's modes enable distinct motions of the 3-DOF system contributing differently to the "new' modes as its location is modified. Also the natural frequencies of the compound system are nearly uncoupled have been calculated by means of a first order eigenvalue perturbation analysis.

수직 평판 요소의 수중동요 근사해와 설계 적용 (Approximate Solution of Vertical Wave Board Oscillating in Submerged Condition and Its Design Application)

  • 오정근;김주열;김효철;권종오;류재문
    • 대한조선학회논문집
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    • 제55권6호
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    • pp.527-534
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    • 2018
  • The segment of the piston type wave board has been expressed as a submerged vertical line segment in the two dimensional wave flume. Either end of vertical line segment representing wave board could be located in fluid domain from free surface to the bottom of the flume. Naturally the segment could be extended from the bottom to the free surface of the flume. It is assumed that the piston motion of the wave board could be defined by the sinusoidal oscillation in horizontal direction. Simplified analytic solution of the submerged segment of wave board has been derived through the first order perturbation method in water of finite depth. The analytic solution has been utilized in expressing the wave generated by the piston type wave board installed on the upper or lower half of the flume. The wave form derived by the analytic solution have been compared with the wave profile obtained through the CFD calculation for the either of the above cases. It is appeared that the wave length and the wave height are coincided each other between analytic solution and CFD calculation. However the wave form obtained by CFD calculations are more closer to real wave form than those from analytic calculation. It is appeared that the linear solutions could be not only superposed by segment but also integrated by finite elements without limitation. Finally it is proven that the wave generated by the oscillation of flap type wave board could be derived by integrating the wave generated by the sinusoidal motion of the finite segment of the piston type wave board.

Assessment of Corrosion Rate of Reinforcing Steel in Concrete Using Galvanostatic Pulse Transient Technique

  • So, Hyoung-Seok;Millard, Stephen Geoffrey
    • International Journal of Concrete Structures and Materials
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    • 제1권1호
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    • pp.83-88
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    • 2007
  • This paper discusses a method of measuring transient potential response of a corrosion interface to a small galvanostatic pulse perturbation for a rapid assessment of the corrosion rate of reinforcing steel in concrete structures. Measurements were taken on 100 mm sections of steel bars which were subjected to a wide range of corrosion conditions, from passive steel to actively corroding steel. The duration of the applied galvanostatic pulse was varied between 5s and 180s, and the lateral distance of the point of measurement on the steel bar varied from zero to 400 mm. The result of the electrochemical transient response was investigated using a typical sampling rate of 1 kHz. Analysis of the transient potential response to the applied galvanostatic pulse has enabled the separation of equivalent electronic components so that the components of a series of capacitances and resistances, whose values are dependent on the corrosion condition of the reinforcing steel, could be isolated. The corrosion rate was calculated from a summation of the separate resistive components, which were associated with the corrosion interface, and was compared with the corrosion rate obtained from linear polarization resistance (LPR) method. The results show that the galvanostatic pulse transient technique enables the components of the polarization resistance to be evaluated separately so as to give more reliable corrosion rate values than those obtained from the LPR method. Additionally, this paper shows how the galvanostatic pulse transient response technique can be implemented. An appropriate measurement time for passive and actively corroding reinforcing steel is suggested for the galvanostatic pulse transient response measurements in the field site.

Semi-Analytical Methods for Different Problems of Diffraction-Radiation by Vertical Circular Cylinders

  • Malenica, Sime
    • International Journal of Ocean System Engineering
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    • 제2권2호
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    • pp.116-138
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    • 2012
  • As in the other fields of mechanics, analytical methods represent an important analysis tool in marine hydrodynamics. The analytical approach is interesting for different reasons : it gives reference results for numerical codes verification, it gives physical insight into some complicated problems, it can be used as a simplified predesign tool, etc. This approach is of course limited to some simplified geometries (cylinders, spheres, ...), and only the case of one or more cylinders, truncated or not, will be considered here. Presented methods are basically eigenfunction expansions whose complexity depends on the boundary conditions. The hydrodynamic boundary value problem (BVP) is formulated within the usual assumptions of potential flow and is additionally simplified by the perturbation method. By using this approach, the highly nonlinear problem decomposes into its linear part and the higher order (second, third, ...) corrections. Also, periodicity is assumed so that the time dependence can be factorized i.e. the frequency domain formulation is adopted. As far as free surface flows are concerned, only cases without or with small forward speed are sufficiently simple to be solved semi-analytically. The problem of the floating body advancing in waves with arbitrary forward speed is far more complicated. These remarks are also valid for the general numerical methods where the case of arbitrary forward speed, even linearized, is still too difficult from numerical point of view, and "it is fair to say that there exists at present no general practical numerical method for the wave resistance problem" [9], and even less for the general seakeeping problem. We note also that, in the case of bluff bodies like cylinders, the assumptions of the potential flow are justified only if the forward speed is less than the product of wave amplitude with wave frequency.

Applying Least Mean Square Method to Improve Performance of PV MPPT Algorithm

  • Poudel, Prasis;Bae, Sang-Hyun;Jang, Bongseog
    • 통합자연과학논문집
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    • 제15권3호
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    • pp.99-110
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    • 2022
  • Solar photovoltaic (PV) system shows a non-linear current (I) -voltage (V) characteristics, which depends on the surrounding environment factors, such as irradiance, temperature, and the wind. Solar PV system, with current (I) - voltage (V) and power (P) - Voltage (V) characteristics, specifies a unique operating point at where the possible maximum power point (MPP) is delivered. At the MPP, the PV array operates at maximum power efficiency. In order to continuously harvest maximum power at any point of time from solar PV modules, a good MPPT algorithms need to be employed. Currently, due to its simplicity and easy implementation, Perturb and Observe (P&O) algorithms are the most commonly used MPPT control method in the PV systems but it has a drawback at suddenly varying environment situations, due to constant step size. In this paper, to overcome the difficulties of the fast changing environment and suddenly changing the power of PV array due to constant step size in the P&O algorithm, least mean Square (LMS) methods is proposed together with P&O MPPT algorithm which is superior to traditional P&O MPPT. PV output power is predicted using LMS method to improve the tracking speed and deduce the possibility of misjudgment of increasing and decreasing the PV output. Simulation results shows that the proposed MPPT technique can track the MPP accurately as well as its dynamic response is very fast in response to the change of environmental parameters in comparison with the conventional P&O MPPT algorithm, and improves system performance.

확률변수의 상관성을 고려한 사장교의 확률유한요소해석 및 신뢰성해석 (The Stochastic Finite Element Analysis and Reliability Analysis of the Cable Stayed Bridge Considered to Correlation of the Random Variable)

  • 한성호;신재철
    • 대한토목학회논문집
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    • 제26권1A호
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    • pp.21-33
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    • 2006
  • 사장교 구조물을 대상으로 확률유한요소법을 신뢰성이론에 적합하도록 정식화하여 신뢰성해석을 보다 효율적으로 수행하고자 한다. 사장교의 초기평형해석을 수행한 후, 섭동법을 이용하여 선형 비선형 확률유한요소해석을 수행할 수 있으며, 확률변수의 상관성에 따른 신뢰성해석을 수행할 수 있는 프로그램을 작성하였다. 작성된 프로그램을 이용하여 사장교의 응답해석을 검토한 결과, 확률변수의 상호간 상관성에 따른 절점변위, 부재력 및 케이블긴장력에 대한 분산특성을 정량적으로 평가할 수 있었다. 또한 신뢰성지수 및 파괴확률을 검토하여 사장교 구조물의 안전성을 명확하게 파악하였다.

Multicriteria shape design of a sheet contour in stamping

  • Oujebbour, Fatima-Zahra;Habbal, Abderrahmane;Ellaia, Rachid;Zhao, Ziheng
    • Journal of Computational Design and Engineering
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    • 제1권3호
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    • pp.187-193
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    • 2014
  • One of the hottest challenges in automotive industry is related to weight reduction in sheet metal forming processes, in order to produce a high quality metal part with minimal material cost. Stamping is the most widely used sheet metal forming process; but its implementation comes with several fabrication flaws such as springback and failure. A global and simple approach to circumvent these unwanted process drawbacks consists in optimizing the initial blank shape with innovative methods. The aim of this paper is to introduce an efficient methodology to deal with complex, computationally expensive multicriteria optimization problems. Our approach is based on the combination of methods to capture the Pareto Front, approximate criteria (to save computational costs) and global optimizers. To illustrate the efficiency, we consider the stamping of an industrial workpiece as test-case. Our approach is applied to the springback and failure criteria. To optimize these two criteria, a global optimization algorithm was chosen. It is the Simulated Annealing algorithm hybridized with the Simultaneous Perturbation Stochastic Approximation in order to gain in time and in precision. The multicriteria problems amounts to the capture of the Pareto Front associated to the two criteria. Normal Boundary Intersection and Normalized Normal Constraint Method are considered for generating a set of Pareto-optimal solutions with the characteristic of uniform distribution of front points. The computational results are compared to those obtained with the well-known Non-dominated Sorting Genetic Algorithm II. The results show that our proposed approach is efficient to deal with the multicriteria shape optimization of highly non-linear mechanical systems.

조파판 수중운동의 근사해석과 조파기 설계에 응용 (Simplified Analytic Solution of Submerged Wave Board Motion and Its Application on the Design of Wave Generator)

  • 권종오;김효철;류재문;오정근
    • 대한조선학회논문집
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    • 제54권6호
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    • pp.461-469
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    • 2017
  • A segment of the wave board has been expressed as a submerged line segment in the two dimensional wave flume. The lower end of the line segment could be extended to the bottom of the wave flume and the other opposite upper end of the board could be extended to the free surface. It is assumed that the motion of the wave board could be defined by the sinusoidal motion in horizontal direction on either end of the wave board. When the amplitude of sinusoidal motion of the wave board on lower and upper end are equal, the wave board motion could express the horizontally oscillating submerged segment of piston type wave generator. The submerged segment of flap type wave generator also could be expressed by taking the motion amplitude differently for the either end of the board. The pivot point of the segment motion could play a role of hinge point of the flap type wave generator. Simplified analytic solution of oscillating submerged wave board segment in water of finite depth has been derived through the first order perturbation method at two dimensional domain. The case study of the analytic solution has been carried out and it is found out that the solution could be utilized for the design of wave generator with arbitrary shape by linear superposition.

도플러 효과에 의한 지연 동기 루프의 추적 성능분석 (Infulence of doppler effects on the tracking performance of a dely locked loop)

  • 임성준;유흥균
    • 한국통신학회논문지
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    • 제23권4호
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    • pp.857-864
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    • 1998
  • 본 논문은 도플러 효과가 GPS 수신기용 비동기 2차 DLL(noncoherent second-order delay locked loop)의 추적 성능에 미치는 영향을 분석하였다. 성능 분석을 위하여 선형 DLL의 추적 정확도(steady state error and jitter)와 비선형 루프의 신뢰도를 고려하였다. 루프의 신뢰도에 관한 비선형 분석은 MTLL(mean time to lose lock)에서 근사 확장법을 사용하였다. 특히, 최대 MTLL을 얻기 위하여 loop에서 대역 여파기의 최적 대역폭과 최적 루프 파라미터를 제안하였다. 저궤도 위성의 경우는 도플러 영향이 크게 나타나므로 MTLL을 최대로 추적 오차를 최소 하는 효과를 기대할 수 있다. 시뮬레이션 결과로부터 설계된 디지탈 지연동기 루프 시스템이 정확히 동작함을 확인하기 위해 GPS 신호를 발생시키는 시뮬레이터인 STR-2770을 사용, 도플러 주파수를 첨가하여 실제 상황과 같은 환경에서 FPGA로 구현된 DLL회로의 성능을 검증하였다.

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