• 제목/요약/키워드: Instability region

검색결과 317건 처리시간 0.03초

Stability Analysis and Control of Nonlinear Behavior in V2 Switching Buck Converter

  • Hu, Wei;Zhang, Fangying;Long, Xiaoli;Chen, Xinbing;Deng, Wenting
    • Journal of Power Electronics
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    • 제14권6호
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    • pp.1208-1216
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    • 2014
  • Mismatch between switching frequency and circuit parameters often occurs in industrial applications, which would lead to instability phenomena. The bifurcation behavior of $V^2$ controlled buck converter is investigated as the pulse width modulation period is varied. Nonlinear behavior is analyzed based on the monodromy matrix of the system. We observed that the stable period-1 orbit was first transformed to the period-2 bifurcation, which subsequently changed to chaos. The mechanism of the series of period-2 bifurcations shows that the characteristic eigenvalue of the monodromy matrix passes through the unit circle along the negative real axis. Resonant parametric perturbation technique has been applied to prevent the onset of instability. Meanwhile, the extended stability region of the converter is obtained. Simulation and experimental prototypes are built, and the corresponding results verify the theoretical analysis.

A Numerical Experiment on the Inter-annual Variation Induced by the Current in a Basin with Dimension Comparable to the East Sea

  • Cho Kyoung-Ho;Seung Young Ho
    • Fisheries and Aquatic Sciences
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    • 제3권2호
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    • pp.163-171
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    • 2000
  • A series of numerical experiments are performed to examine the generation of inter-annual variations by an inertial current in an idealized semi-enclosed basin with dimension comparable to that of the East Sea. Model results indicate that the inter-annual variations dominate the kinetic energy spectrum with a peak around the time scales of 2-3 years. These variations are mostly due to the westward propagating meanders and large eddies induced by the instability of current, indicating their dependency on the eddy-resolving capacity of the model. They are generated in the interior of the basin but their energy is largely confined near the western boundary such that the east-west dimension of the basin cannot be considered as a critical factor as long as the basin covers enough western boundary region. Overall, this study suggests that the inter-annual variation observed in the East Sea is due to the meandering and large eddies induced by the instability of the current.

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Parametric Study of Instability in Obstructed Channel Flow (장애물이 부착된 평판 사이 유동의 불안정성에 관한 파라미터적 연구)

  • Hwang, In-Sang;Yang, Gyeong-Su;Kim, Do-Hyeong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • 제25권4호
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    • pp.546-553
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    • 2001
  • A Parametric study is numerically carried out for flow fields in a two-dimensional plane channel with thin obstacles(“baffles and blocks”) mounted symmetrically in the vertical direction and periodically in the streamwise direction. The aim of this investigation is to understand how various geometric conditions influence the critical characteristics and pressure drop. A range of BR(the ratio of baffle interval to channel height) between 1 and 5 is considered. Especially when BR is equal to 3, for which the critical Reynolds number turned out to be minimal, we add blocks in the center region in order to study their destabilizing effects on the flows. It is revealed that the critical Reynolds number is further decreased by the presence of the block.

Dynamic Stability Analysis of a Single Cam Drive Mechanism (단일 캠 구동기구의 동 안정성 해석)

  • 김홍보;전혁수;이종원;박윤식
    • Transactions of the Korean Society of Mechanical Engineers
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    • 제14권3호
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    • pp.526-533
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    • 1990
  • The dynamic stability of a single cam drive mechanism is investigated by an analytical approach. The nonlinear differential equation describing the motion of a single cam drive mechanism is linearized with respect to the imput power angle, and results a linear parametric differential equation. The instability region is examined by applying the harmonic balance method to linearized parametric equation having periodicity. Through the dynamic stability analysis of a single cam drive mechanism, it is observed that the parametric resonances exist and the instability regions tend to become wide as increasing the drive speed and follower mass.

Dynamic buckling response of temperature-dependent functionally graded-carbon nanotubes-reinforced sandwich microplates considering structural damping

  • Shokravi, Maryam;Jalili, Nader
    • Smart Structures and Systems
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    • 제20권5호
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    • pp.583-593
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    • 2017
  • This research deals with the nonlocal temperature-dependent dynamic buckling analysis of embedded sandwich micro plates reinforced by functionally graded carbon nanotubes (FG-CNTs). The material properties of structure are assumed viscoelastic based on Kelvin-Voigt model. The effective material properties of structure are considered based on mixture rule. The elastic medium is simulated by orthotropic visco-Pasternak medium. The motion equations are derived applying Sinusoidal shear deformation theory (SSDT) in which the size effects are considered using Eringen's nonlocal theory. The differential quadrature (DQ) method in conjunction with the Bolotin's methods is applied for calculating resonance frequency and dynamic instability region (DIR) of structure. The effects of different parameters such as volume percent of CNTs, distribution type of CNTs, temperature, nonlocal parameter and structural damping on the dynamic instability of visco-system are shown. The results are compared with other published works in the literature. Results indicate that the CNTs have an important role in dynamic stability of structure and FGX distribution type is the better choice.

A Study on Voltage Collapse Mechanism using Equivalent Mechanical Model

  • Kim, Do-Hyung;Ryu, Heon-Su;Lee, Jong-Gi;Moon, Young-Hyun
    • KIEE International Transactions on Power Engineering
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    • 제12A권1호
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    • pp.6-14
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    • 2002
  • In this paper, an EMM(Equivalent Mechanical Model) Is developed to explain the voltage collapse mechanism by reflecting the effects of reactive powers. The proposed EMM exactly represents the voltage instability mechanism described by the system equations. By the use of the EMM model, the voltage collapse mechanism has been illustrated by showing the exactness of the results. The stable region has been investigated with a reactive-power-controlled two-bus system, which shows that special alerts are required when the system operates with leading power factor. It is also discussed a system transform technique to eliminate the resistance component of the Thevenin equivalent impedance for practical applications. Finally, the results adopting the proposed method fur sample systems which were transformed are listed

A study on the combustion instability in a bluffbody dump combustor (가스터빈 연소기의 화염 불안정성에 관한 연구)

  • Lee, Byeong-Jun;Preston, L.H.;Santavicca, D.A.
    • Transactions of the Korean Society of Mechanical Engineers B
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    • 제22권7호
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    • pp.1022-1029
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    • 1998
  • The relation of the inlet fuel distribution, velocity, and overall equivalence ratio to the stability of a lean burning no-swirl dump combustor was examined. Premixed or partially premixed natural gas was introduced into the air stream, which flowed to the dump region through an annular inlet pipe. Inlet air was preheated upto 400 deg.C. Combustion instability was observed to occur at higher value of equivalence ratio (> 0.6) as the degree of unpremixedness was increased. Instabilities exhibited a dominant frequency of ~ 500 Hz, which corresponded to a half wave mode of combustor. CH chemiluminescence and pressure fluctuations were in-phase when combustion instabilities occurred. Acetone LIF images revealed that there was a strong fuel concentration gradient across the inlet annulus. Phase resolved OH LIF images showed that inlet fuel distribution was affected by the combustion instabilities.

The Effect of Damping Plate on Mathieu-type Instability of Spar Platform (스파 플랫폼의 Mathieu형 불안정성에 미치는 감쇠판의 영향)

  • Rho, Jun-Bumn;Choi, Hang-Soon
    • Journal of the Society of Naval Architects of Korea
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    • 제42권2호
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    • pp.124-128
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    • 2005
  • This paper describes motion stability of a spar platform with and without a damping plate in regular waves. The heave and pitch motion equation is derived in terms of Mathieu equation and the stability diagram is obtained. It is shown that the spar platform with damping plate has smaller unstable region than that without damping plate in the stability diagram. Model tests are carried out to verify the mathematical analysis. Under the condition that the pitch natural period is approximately double the heave natural period and the heave motion is amplified at heave resonance, unstable pitch motions are evoked. However the unstable motion is stabilized in cases of spar platform with damping plate. Therefore the damping plate is an effective device to stabilize the motion of spar platform.

The Periodic Motion of Lifted Flames in Inverse Coflow Jets (역확산화염에서 부상 상태의 진동현상에 관한 연구)

  • Won, Jang-Hyeok;Seo, Jeong-Il;Bae, Soo-Ho;Shin, Hyun-Dong
    • 한국연소학회:학술대회논문집
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    • 한국연소학회 2006년도 제33회 KOSCO SYMPOSIUM 논문집
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    • pp.73-78
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    • 2006
  • The lifted oscillating flame has been studied using experiments of inverse diffusion flames that the air jet injected into a methane background. To find out the characteristics of inverse diffusion flames, fundamentally flame stabilized diagram is investigated with various air and fuel jet velocities. It has five regions - flame extinction, stable attached flame, anchored flame, liftoff flame and blow off region. In inverse diffusion flame, lifted flames were observed near the blow off region. As long as flames lift off, flames oscillate by periods. In this oscillating lifted flame region, the frequency of 1 and under were observed in various air and methane jet velocities. Characteristics of lifted flames are also examined by using the ICCD direct image. And intensity of flame chemiluminescence is very different in rising and falling period from photographs. For the present, it is predicted that the changes of flame structure are related with flame oscillation, but more experiments will be needed to make clear the phenomenon.

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Study on the Nonlinear Interaction of Laser with Plasma -Detection of Second Harmonic Light and Brillouin Scattering Light by Means of Spectroscopic Technique- (레이저와 프라즈마와의 비선형상오작용에 관한 연구 -분광법에 의한 제 2고주파와 Brillouin 산람광의 검출-)

  • Kang, Hyung-Boo
    • The Transactions of the Korean Institute of Electrical Engineers
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    • 제33권5호
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    • pp.173-180
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    • 1984
  • The spectra of scattering light fromlaser-produced plasma near its fundamental and second harmonic wavelength were observed respectively by means of spectroscopic technique. The experimental results and the generation mechanism of nonlinear effects such as the second garmonics and the brillouin scattering were analysed theoretically. The spectra of reflected laser light became wider than that of incident laser light. And the peak of spectrum of reflected light shifted to red-side from that of incident light. The second harmonic light is generated from the nonlinear interaction of the incident laser light and the electron plasma wave excited in resonance region by the oblique incidence of laser light to the plasma. The Brillouin backscattering from laser-produced plasmas of hydrogen and deuterium has shown an isotope effect in the red-side region of the generated second harmonic light. This isotope shift is explained by the parametric instability at the cutoff (resonance) region using frequency-and phase-matching conditions of the waves.

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