• Title/Summary/Keyword: Oscillation methods

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Comparative Studies of Methods for Continuation and Derivatives of Potential Fields (포텐셜장(場)의 상하향연속(上下向連續) 및 미분법(微分法)에 대(對)한 비교연구(比較硏究))

  • Kwon, Byung Doo
    • Economic and Environmental Geology
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    • v.14 no.2
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    • pp.93-102
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    • 1981
  • Studies of model potential fields continued upward and downward show differences depending on the method of continuation. Beginning with a magnetic field computed over a buried vertical cylinder, the field was continued to various levels by a method introduced by Henderson (Lagrangian interpolation) and by a spectral method (frequency domain analysis). Resultant fields show (1) no significant differences in upward continued values, (2) in downward continuation, accurate values are obtained with the spectral method over the central part of the anomaly, and (3) accurate values are obtained with Henderson's method on the flanks of the anomaly, while oscillations usually characterize the spectral method in this region. Essentially the same observations are made for derivative calculations. Field oscillations are empirically predicted at levels continued to approximately two-thirds of the depth of the source. Our spectral computer program output yields marked oscillations at one-half of the depth of the source. Henderson's method shows no oscillations at this depth and only minor oscillations at the top of the body (some negative values appear on the flanks of the anomaly). The Henderson output is a smooth field even if continued below the top of the body. These results suggest that the presence of oscillations cannot be used to identify the top of a buried source without careful consideration of the method used to continue the field. Use of the derivative to outline and isolate anomalies must similarly include consideration of the method of calculation.

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Multi-scale Correlation Analysis between Sea Level Anomaly and Climate Index through Wavelet Approach (웨이블릿 접근을 통한 해수면 높이와 기후 지수간의 다중 스케일 상관 관계 분석)

  • Hwang, Do-Hyun;Jung, Hahn Chul
    • Korean Journal of Remote Sensing
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    • v.38 no.5_1
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    • pp.587-596
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    • 2022
  • Sea levels are rising as a result of climate change, and low-lying areas along the coast are at risk of flooding. Therefore, we tried to investigate the relationship between sea level change and climate indices using satellite altimeter data (Topex/Poseidon, Jason-1/2/3) and southern oscillation index (SOI) and the Pacific decadal oscillation (PDO) data. If time domain data were converted to frequency domain, the original data can be analyzed in terms of the periodic components. Fourier transform and Wavelet transform are representative periodic analysis methods. Fourier transform can provide only the periodic signals, whereas wavelet transform can obtain both the periodic signals and their corresponding time location. The cross-wavelet transformation and the wavelet coherence are ideal for analyzing the common periods, correlation and phase difference for two time domain datasets. Our cross-wavelet transform analysis shows that two climate indices (SOI, PDO) and sea level height was a significant in 1-year period. PDO and sea level height were anti-phase. Also, our wavelet coherence analysis reveals when sea level height and climate indices were correlated in short (less than one year) and long periods, which did not appear in the cross wavelet transform. The two wavelet analyses provide the frequency domains of two different time domain datasets but also characterize the periodic components and relative phase difference. Therefore, our research results demonstrates that the wavelet analyses are useful to analyze the periodic component of climatic data and monitor the various oceanic phenomena that are difficult to find in time series analysis.

Evaluation and Comparison of the Low-Frequency Oscillation Damping Methods for the Droop-Controlled Inverters in Distributed Generation Systems

  • Tao, Yong;Deng, Yan;Li, Guangdi;Chen, Guipeng;He, Xiangning
    • Journal of Power Electronics
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    • v.16 no.2
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    • pp.731-747
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    • 2016
  • The droop-based control strategy is widely applied in the interfacing inverters for distributed generation. This can be a problem since low-frequency stability issues may be encountered in droop-based microgrid. The objective of this paper is to classify, evaluate and compare various low-frequency damping methods. First, low-frequency stability problems are analyzed and an equivalent model of a droop-controlled inverter is investigated to classify the damping methods into the source-type damping strategies and the impedance-type damping strategies. Moreover, the lead-lag compensation network insertion control is proposed as a beneficial part of the source-type damping strategies. Then, the advantages and disadvantages of the different types of damping methods are theoretically evaluated and experimentally tested. Furthermore, the damping methods are comprehensively compared to illustrate the application field of each method. Finally, the synthesis of different damping methods to enhance the low-frequency stability is discussed and experimental validation is presented.

Improved definition of dynamic load allowance factor for highway bridges

  • Zhou, Yongjun;Ma, Zhongguo John;Zhao, Yu;Shi, Xiongwei;He, Shuanhai
    • Structural Engineering and Mechanics
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    • v.54 no.3
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    • pp.561-577
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    • 2015
  • The main objective of this paper is to study the dynamic load allowance (DLA) calculation methods for bridges according to the dynamic response curve. A simply-supported concrete bridge with a smooth road surface was taken as an example. A half-vehicle model was employed to calculate the dynamic response of deflection and bending moment in the mid-span section under different vehicle speeds using the vehicle-bridge coupling method. Firstly, DLAs from the conventional methods and code provisions were analyzed and critically evaluated. Then, two improved computing approaches for DLA were proposed. In the first approach, the maximum dynamic response and its corresponding static response or its corresponding minimum response were selected to calculate DLA. The second approach utilized weighted average method to take account of multi-local DLAs. Finally, the DLAs from two approaches were compared with those from other methods. The results show that DLAs obtained from the proposed approaches are greater than those from the conventional methods, which indicate that the current conventional methods underestimate the dynamic response of the structure. The authors recommend that the weighted average method based on experiments be used to compute DLAs because it can reflect the vehicle's whole impact on the bridge.

A study on Controlling chaos for Bonhoeffer-van der Pol oscillation model by small parameter perturbation (Bonhoeffer - van der Pol 오실레이터 모델에서의 미소 파라미터 섭동에 의한 카오스 제어)

  • Bae, Youngchul
    • The Journal of the Korea institute of electronic communication sciences
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    • v.1 no.1
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    • pp.49-55
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    • 2006
  • Applied by periodic Stimulating Currents in Bonhoeffer -Van der Pol(BVP) model, chaotic and periodic phenomena occured at specific conditions. The conditions of the chaotic motion in BVP comprised 0.7182< $A_1$ <0.792 and 1.09< $A_1$ <1.302 proved by the analysis of phase plane, bifurcation diagram, and lyapunov exponent. To control the chaotic motion, two methods were suggested by the first used the amplitude parameter A1, $A1={\varepsilon}((x-x_s)-(y-y_s))$ and the second used the temperature parameterc, $c=c(1+{\eta}cos{\Omega}t)$ which the values of ${\eta},{\Omega}$ varied respectlvly, and $x_s$, $y_s$ are the periodic signal. As a result of simulating these methods, the chaotic phenomena was controlled with the periodic motion of periodisity. The feasibilities of the chaotic and the periodic phenomena were analysed by phase plane Poincare map and lyapunov exponent.

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Experimental/Numerical Study on a Secondary Flow within a Rectangular Container Subjected to a Horizontal Oscillation (수평가진을 받는 직사각형 용기 내 2차 유동의 실험적/수치해석적 연구)

  • Byun, Min-Soo;Suh, Yong-Kweon
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.26 no.7
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    • pp.1014-1021
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    • 2002
  • Analysis of two-dimensional secondary flows given by an oscillatory motion of a liquid with a free surface in a rectangular container subject to a linear reciprocating force is performed by numerical and experimental methods. FVM is used for the numerical computation of the two-dimensional flows. We considered the effects of the free-surface properties such as the surface tension and the dilatational viscosity. The boundary-layer analysis as well as an experiment is used in establishing the free surface properties. The secondary flow patterns are visualized by a laser sheet. It is shown that the secondary flow patterns predicted by the numerical methods are in good agreement with the experimental results.

Comparison of Small Signal Stability Analysis Methods in Complex Systems with Switching Elements

  • Kim, Deok Young;Meliiopoulos, A.P.Sakis
    • KIEE International Transactions on Power Engineering
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    • v.4A no.2
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    • pp.79-83
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    • 2004
  • A new small signal stability analysis method for eigenvalue analysis is presented. This method utilizes the Resistive Companion Form (RCF) for the computation of the transition matrix over a specified time interval, which corresponds to a single cycle operation of the system. This method is applicable to any system, with or without switching element. An illustrative example of the method is presented and the eigenvalues are compared with those of the conventional state space method (analog) in order to demonstrate the accuracy of the proposed eigenvalue analysis method. Also, the variations of oscillation modes that are caused by the switching operation can be precisely analyzed using this method.

A Feedback Control System for Suppressing Crane Oscillations with On-Off Motors

  • Hekman, Keith A.;Singhose, William E.
    • International Journal of Control, Automation, and Systems
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    • v.5 no.3
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    • pp.223-233
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    • 2007
  • Crane payloads frequently swing with large amplitude motion that degrades safety and throughput. Open-loop methods have addressed this problem, but are not effective for disturbances. Closed-loop methods have also been used, but generally require the speed of the driving motors to be precisely controlled. This paper develops a feedback control method for controlling motors to cancel the measured payload oscillations by intelligently timing the ensuing on and off motor commands. The effectiveness of the oscillation suppression scheme is experimentally verified on an industrial bridge crane.

A Harmonic Analysis Technique of Nonlinear Circuit Using Duffing's Equation (Duffing방정식을 이용한 비선형회로의 고조파해석 기법)

  • 신중린;황현준;조기선
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.12 no.4
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    • pp.62-69
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    • 1998
  • The harmonics caused b th nonlinear operation of transmission equipments are not identified yet and have been seldom studied. Sources of harmonics in nonlinear circuit, especially caused by the nonlinear operation of transmission equipments, can be approximately modeled with Duffing's Equation which is often referred in nonlinear mechanical oscillation problem. In this study, a new analytic technique is proposed for the analysis of harmonics n nonlinear circuits using Duffing's Equation and compared with some conventional methods. Finally some case studies were performed to evaluate the performance of proposed method and conventional methods.

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A Derivation of the Representative Unit Hydrograph from Multiperiod Complex Storm by Linear Programming (선형계획법(線型計劃法)에 의한 대표단위도(代表單位圖) 유도(誘導))

  • Kwon, Oh Hun;Ryu, Tae Sang;Yoo, Ju Hwan
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.13 no.2
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    • pp.173-182
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    • 1993
  • This paper presents an algorithm to derive the representative unit hydrograph for the real environment of a watershed. For a given watershed, the conventional methods give several different unit hydrographs by storm events. In this study the LP model is somewhat modified based on the previous study by Mays et also as follows: the objective function is designed to minimize the sum of weighted residuals. An additional constraint of moving average is added to prevent the unit hydrograph from the occurence of oscillation which was not active in Mays's paper. Configuration of rainfall matrix was improved to reduce its dimension in accordance with Diskin's review point. In spite of the superiority of LP approach in terms of representativeness, all the methods were very sensitive to the validity of baseflow separation and rainfall-loss. Several methods of the separations for rainfall excesses and direct runoffs were applied and no preferred methods were identified. This is the matter of judgement considering catchment and rainfall characteristics. This algorithm was applied to a real watershed of the Wi stream in the Nak-dong river. Compared with the IHP results by conventional methods, this optimized representative unit hydrograph demonstrated relatively smaller and shorter values in terms of the peak discharge and the basin lag respectively, and the oscillation of its falling limb successfully eliminated owing to the additional constraints of moving averages.

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