• Title/Summary/Keyword: perturbation equations

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Steady State Analysis & Small Signal Modeling of Variable Duty Cycle Controlled Three Level LLC Converter (듀티 제어가 적용된 3레벨 LLC 컨버터의 정상상태 및 소신호 모델링)

  • Humaira, Hussain;Kim, Hag-Wone;Cho, Kwan-Yuhl
    • Proceedings of the KIPE Conference
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    • 2019.07a
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    • pp.317-319
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    • 2019
  • In this paper, a three level duty cycle controlled half bridge LLC converter for EV charger application is presented. The topology and operating regions of the converter are discussed. The equations of the converter are derived in time domain. A small signal model of the converter is developed by perturbation and linearization of the steady state model about their operating point using Extended Describing function.

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Non linear vibrations of stepped beam systems using artificial neural networks

  • Bagdatli, S.M.;Ozkaya, E.;Ozyigit, H.A.;Tekin, A.
    • Structural Engineering and Mechanics
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    • v.33 no.1
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    • pp.15-30
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    • 2009
  • In this study, the nonlinear vibrations of stepped beams having different boundary conditions were investigated. The equations of motions were obtained by using Hamilton's principle and made non dimensional. The stretching effect induced non-linear terms to the equations. Natural frequencies are calculated for different boundary conditions, stepped ratios and stepped locations by Newton-Raphson Method. The corresponding nonlinear correction coefficients are also calculated for the fundamental mode. At the second part, an alternative method is produced for the analysis. The calculated natural frequencies and nonlinear corrections are used for training an artificial neural network (ANN) program which has a multi-layer, feed-forward, back-propagation algorithm. The results of the algorithm produce errors less than 2.5% for linear case and 10.12% for nonlinear case. The errors are much lower for most cases except clamped-clamped end condition. By employing the ANN algorithm, the natural frequencies and nonlinear corrections are easily calculated by little errors, and the computational time is drastically reduced compared with the conventional numerical techniques.

The effect of nanoparticle in reduction of critical fluid velocity in pipes conveying fluid

  • Ghaitani, M.M.;Majidian, A.;Shokri, V.
    • Advances in concrete construction
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    • v.9 no.1
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    • pp.103-113
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    • 2020
  • This paper deal with the critical fluid velocity response of nanocomposite pipe conveying fluid based on numerical method. The pressure of fluid is obtained based on perturbation method. The motion equations are derived based on classical shell theory, energy method and Hamilton's principle. The shell is reinforced by nanoparticles and the distribution of them are functionally graded (FG). The mixture rule is applied for obtaining the equivalent material properties of the structure. Differential quadrature method (DQM) is utilized for solution of the motion equations in order to obtain the critical fluid velocity. The effects of different parameters such asCNT nanoparticles volume percent, boundary conditions, thickness to radius ratios, length to radius ratios and internal fluid are presented on the critical fluid velocity response structure. The results show that with increasing the CNT nanoparticles, the critical fluid velocity is increased. In addition, FGX distribution of nanoparticles is the best choice for reinforcement.

Hydrodynamic forces of impeller shroud and wear-ring seal on centrifugal pump (고성능 원심펌프에서 임펠러 시라우드 및 마모 시일의 유체가진력 해석)

  • Ha, Tae-Woong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.22 no.1
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    • pp.102-110
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    • 1998
  • The analysis of lateral hydrodynamic forces in the leakage path between a shrouded pump impeller through wear-ring seal and its housing is presented. Governing equations are derived based on Bulk-flow and Hirs' turbulent lubrication model. By using a perturbation analysis and a numerical integration method, governing equations are solved to yield leakage and rotordynamic coefficients of force developed by the impeller shroud and wear-ring seal. The variation of rotordynamic coefficients of pump impeller shroud and wear-ring seal is analyzed as parameters of rotor speed, pressure difference, shroud clearance, wear-ring seal clearance, and circumferential velocity at the entrance of impeller shroud for a typical multi-stage centrifugal pump.

Characteristics of Leakage and Rotordynamic Coefficients for Annular Seal with Multi-Land (이종 표면을 갖는 실의 특성해석)

  • Ha, Tae Woong
    • 유체기계공업학회:학술대회논문집
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    • 2002.12a
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    • pp.447-452
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    • 2002
  • An honeycomb/smooth land seal alternating with the honeycomb seal is suggested for structural enhancement in high pressure turbomachinery. Governing equations are derived for an honeycomb/smooth land annular gas seal based on Hirs' lubrication theory and Moody's friction factor model for smooth land and empirical friction factor model for honeycomb land. By using a perturbation analysis and a numerical integration method, the governing equations are solved to yield leakage and the corresponding dynamic coefficients developed by the seal. Theoretical results show that leakage is increasing and rotordynamic stability is decreasing as increasing the length of smooth land part in the honeycomb/smooth land seal.

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Characteristics of Leakage and Rotordynamic Coefficients for Annular Seal with Honeycomb/Smooth Land (Honeycomb/Smooth 표면을 갖는 비접촉 환상 실의 특성해석)

  • Ha, Tae-Woong
    • The KSFM Journal of Fluid Machinery
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    • v.5 no.4 s.17
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    • pp.40-46
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    • 2002
  • An honeycomb/smooth land seal alternating with the honeycomb seal is suggested for structural enhancement in high pressure turbomachinery. Governing equations are derived for an honeycomb/smooth land annular gas seal based on Hirs' lubrication theory and Moody's friction factor model for smooth land and empirical friction factor model for honeycomb land. By using a perturbation analysis and a numerical integration method, the governing equations are solved to yield leakage and the corresponding dynamic coefficients developed by the seal. Theoretical results show that the leakage increases and rotordynamic stability decreases as increasing the length of smooth land part in the honeycomb/smooth land seal.

H infinity Controller Design for the Reactor Power Control System

  • Lee, Yoon-Joon
    • Proceedings of the Korean Nuclear Society Conference
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    • 1996.11a
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    • pp.79-84
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    • 1996
  • The robust controller for the nuclear reactor power control system is designed. The reactor model is set up by use of the point kinetics equations and the singly lumped energy balance equations. Since the model is different from the actual plant, the controller which makes the system robust is necessary. The perturbation of the actual plant is investigated with respect to several possible sources of uncertainty. Then the overall system is configured into the two port model and the $H_{\infty}$ controller is designed. The loop shaping and the permissible control rod speed are considered as the design constraints. The designed $H_{\infty}$ controller provides the sufficient margins for the robustness, and the system output as well as the control input satisfy their relevant requirements.

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Determination of Regulator Parameters and Transient Analysis of Modified Self-commutating CSI-fed IM Drive

  • Pandey, A.K.;Tripathi, S.M.
    • Journal of Electrical Engineering and Technology
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    • v.6 no.1
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    • pp.48-58
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    • 2011
  • In this paper, an attempt has been made to design the current and speed proportional and integral (PI) regulators of self-commutating current source inverter-fed induction motor drive having capacitors at the machine end and to investigate the transient performance of the same for step changes in reference speed. The mathematical model of the complete drive system is developed in closed loop, and the characteristic equations of the systems are derived using perturbation about steady-state operating point in order to develop the characteristic equations. The D-partition technique is used for finding the stable region in the parametric plane. Frequency scanning technique is used to confirm the stability region. Final selection of the regulator parameters is done by comparing the transient response of the current and speed loops for step variations in reference. The performance of the drive is observed analytically through MATLAB simulation.

PARAMETER-UNIFORM NUMERICAL METHOD FOR A SYSTEM OF COUPLED SINGULARLY PERTURBED CONVECTION-DIFFUSION EQUATIONS WITH MIXED TYPE BOUNDARY CONDITIONS

  • Tamilselvan, A.;Ramanujam, N.;Priyadharshini, R. Mythili;Valanarasu, T.
    • Journal of applied mathematics & informatics
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    • v.28 no.1_2
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    • pp.109-130
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    • 2010
  • In this paper, a numerical method for a weakly coupled system of two singularly perturbed convection-diffusion second order ordinary differential equations with the mixed type boundary conditions is presented. Parameter-uniform error bounds for the numerical solution and also to numerical derivative are established. Numerical results are provided to illustrate the theoretical results.

Controller Design using Sliding Mode Techniques for Satellite Formation Flying

  • Lim, Hyung-Chul;Bang, Hyo-Choong;Park, Kwan-Dong;Park, Pil-Ho;Jo, Jeong-Ho
    • Bulletin of the Korean Space Science Society
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    • 2003.10a
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    • pp.41-41
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    • 2003
  • Satellite formation flying is currently an active area of research in the aerospace engineering. There are many categories for this research such as the determination of initial conditions, formation keeping, configuration and reconfiguration. In this study, a tracking controller using sliding mode techniques is designed to control a satellite for the satellite formation flying. In general, Hill's equations are used to describe the relative motion of the follower satellite with respect to the leader satellite. But, the modified Hill's equations considering J2 perturbation were used for the design of sliding mode controller. Sliding mode control law causes the chattering phenomenon because it is a discontinuous control. Dead-zone was used to avoid the chattering. The Extended Kalman filter was applied to estimate the state vector based on the measurements of relative distance and velocity between two satellites.

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