• Title/Summary/Keyword: inverse power model

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Nonlinear rheology of linear polymer melts: Modeling chain stretch by interchain tube pressure and Rouse time

  • Wagner, Manfred H.;Rolon-Garrido, Victor H.
    • Korea-Australia Rheology Journal
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    • v.21 no.4
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    • pp.203-211
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    • 2009
  • In flows with deformation rates larger than the inverse Rouse time of the polymer chain, chains are stretched and their confining tubes become increasingly anisotropic. The pressures exerted by a polymer chain on the walls of an anisotropic confinement are anisotropic and limit chain stretch. In the Molecular Stress Function (MSF) model, chain stretch is balanced by an interchain pressure term, which is inverse proportional to the $3^{rd}$ power of the tube diameter and is characterized by a tube diameter relaxation time. We show that the tube diameter relaxation time is equal to 3 times the Rouse time in the limit of small chain stretch. At larger deformations, we argue that chain stretch is balanced by two restoring tensions with weights of 1/3 in the longitudinal direction of the tube (due to a linear spring force) and 2/3 in the lateral direction (due to the nonlinear interchain pressure), both of which are characterized by the Rouse time. This approach is shown to be in quantitative agreement with transient and steady-state elongational viscosity data of two monodisperse polystyrene melts without using any nonlinear parameter, i.e. solely based on the linear-viscoelastic characterization of the melts. The same approach is extended to model experimental data of four styrene-butadiene random copolymer melts in shear flow. Thus for monodisperse linear polymer melts, for the first time a constitutive equation is presented which allows quantitative modeling of nonlinear extension and shear rheology on the basis of linear-viscoelastic data alone.

Investigation on Oil-paper Degradation Subjected to Partial Discharge Using Chaos Theory

  • Gao, Jun;Wang, Youyuan;Liao, Ruijin;Wang, Ke;Yuan, Lei;Zhang, Yiyi
    • Journal of Electrical Engineering and Technology
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    • v.9 no.5
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    • pp.1686-1693
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    • 2014
  • In this paper, oil-paper samples composed of transformer windings were used to investigate the insulation degradation process subjected to partial discharge (PD), with artificial defects inside to simulate the PD induced insulation degradation. To determine appropriate test voltages, the breakdown time obtained through a group of accelerated electrical degradation tests under high voltages was firstly fitted by two-parameter Weibull model to acquire the average breakdown time, which was then applied to establish the inverse power law life model to choose advisable test voltages. During the electrical degradation process, PD signals were synchronously detected by an ultra-high frequency (UHF) sensor from inception to breakdown. For PD analysis, the whole degradation process was divided into ten stages, and chaos theory was introduced to analyze the variation of three chaotic parameters with the development of electrical degradation, namely the largest Lyapunov exponent, correlation dimension and Komogorov entropy of PD amplitude time series. It is shown that deterministic chaos of PD is confirmed during the oil-paper degradation process, and the obtained results provide a new effective tool for the diagnosis of degradation of oil-paper insulation subjected to PD.

Study on the Pose Control of a 6 DOF Simulator with Pneumatic Cylinder Driving Apparatus (공기압실린더 구동장치를 이용한 6자유도 시뮬레이터의 자세제어에 관한 연구)

  • Jeong, J.H.;Ji, S.W.;Jang, J.S.
    • Journal of Power System Engineering
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    • v.11 no.3
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    • pp.59-65
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    • 2007
  • In this study, 6-DOF simulator using pneumatic cylinder driving apparatus was manufactured because a pneumatic cylinder driving apparatus is superior to electric driving motor and hydraulic actuator, which used in traditional 6-DOF simulator, in competitive price and acceleration performance, and, 6-DOF motion can be realized at a low price in case that relatively low load is imposed on the simulator. The possible range of pose control of the simulator was investigated by inverse kinematics, and, it was controlled by a linear controller derived from linear model of the simulator. The Experimental results show that the simulator follows given coordinate well.

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Control Bandwidth Extension Method Based on Phase Margin Compensation for Inverters with Low Carrier Ratio

  • Wei, Qikang;Liu, Bangyin;Duan, Shanxu
    • Journal of Power Electronics
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    • v.18 no.6
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    • pp.1760-1770
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    • 2018
  • This paper presents a control bandwidth extension method for inverters with a low carrier ratio. The bandwidth is extended at the price of decreasing the phase margin. Then the phase margin is compensated by introducing an extra leading angle into an inverse Park transformation. The model of the controller with the proposed method is established. The magnitude and phase characteristics are also analyzed. Then the influence on system stability when the leading angle is introduced is analyzed. The proposed method is applied to design an inverter controller with both a large bandwidth and a desired phase margin, and the experimental results verify that the controller performs well in the steady-state and in terms of transient response.

A study of a flatfish outlook model using a partial equilibrium model approach based on a DEEM system

  • Sukho, Han;Sujin, Heo;Namsu, Lee
    • Korean Journal of Agricultural Science
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    • v.48 no.4
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    • pp.815-829
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    • 2021
  • The purpose of this study is to construct a flatfish outlook model that is consistent with the "Fisheries outlook" monthly publication of the fisheries outlook center of the Korea Maritime Institute (KMI). In particular, it was designed as a partial equilibrium model limited to flatfish items, but a model was constructed with a dynamic ecological equation model (DEEM) system, considering biological breeding and shipping times. Due to limited amounts of monthly data, the market equilibrium price was calculated using a recursive model method as the inverse demand. The main research results and implications are as follows. As a result of estimating young fish inventory levels, the coefficient of the young fish inventory in the previous period was estimated to be 0.03, which was not statistically significant. Because there is distinct seasonality, when estimating the breeding outcomes, the elasticity of breeding in the previous period was found to exceed 0.7, and it increased more as the weight of the fish increased, in addition, the shipment coefficient gradually increased as the weight increased, which means that as the fish weight increased, the shipment compared to the breeding volume increased. When estimating shipments, the elasticity of breeding in previous period was estimated to respond elastically as the weight increases. The price flexibility coefficient of the total supply was inelastically estimated to be -0.19. Finally, according to a model predictive power test, the Theil U1 was estimated to be very low for all of the predictors, indicating excellent predictive power.

Optimum Progressive-Stress Accelerated Life Test (증가하는 스트레스에서의 최적가속수명시험)

  • Yun, Won-Young;Jung, Sung-Gi
    • Journal of Korean Institute of Industrial Engineers
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    • v.19 no.2
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    • pp.15-21
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    • 1993
  • This paper considers the optimal design of accelerated life test in which the stress is linearly increased. It discusses the special case when the life distribution under constant stress follows an exponential distribution and the accelerated equation satisfies the inverse power law. It is assumed that cumulative damage is linear, that is, the remaining life of test units depends only on the current cumulative fraction failed and current stress(cumulative exposure model). The optimization criterion is the asymptotic variance of the maximum likelihood estimator of the log mean life at a design stress. The optimal increasing rate is obtained to minimize the asymptotic variance. Table of sensitivity analysis is given for the prior estimators of model parameters.

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Dry friction losses in axially loaded cables

  • Huang, Xiaolun;Vinogradov, Oleg G.
    • Structural Engineering and Mechanics
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    • v.4 no.3
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    • pp.330-344
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    • 1996
  • A model of a cable comprising interacting wires with dry friction forces at the interfaces is subjected to a quasi-static cyclic loading. The first cycle of this process, comprising of axial loading, unloading and reloading is investigated analytically. Explicit load-elongation relationships are obtained for all of the above phases of the cycle. An expression for the hysteretic losses is also obtained in an explicit form. It is shown that losses are proportional to the third power of the amplitude of the oscillating axial force, and are in inverse proportion to the interwire friction forces. The results obtained are used to introduce a model of a cable as a solid rod with an equivalent stiffness and damping properties of the rod material. It is shown that the stiffness of the equivalent rod is weakly nonlinear, whereas the viscous damping coefficient is proportional to the amplitude of the oscillation. Some numerical results illustrating the effect of cable parameters on the losses are given.

Time-Censored Ramp Tests with Stress Bound for Exponential (스트레스 한계가 있는 램프시험의 최적설계: 지수수명분포의 경우)

  • Bai, Do-Sun;Chun, Young-Rok;Cha, Myung-Su
    • Journal of Korean Institute of Industrial Engineers
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    • v.22 no.3
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    • pp.459-471
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    • 1996
  • This paper considers ramp tests for exponential lifetime distribution when there are limitations on test stress and test time. The inverse power law and a cumulative exposure model are assumed. Maximum likelihood (ML) estimators of model parameters and their asymptotic covariance matrix are obtained. The optimum ramp test plans are also found which minimize the asymptotic variance of the ML estimator of the log mean life at design constant stress. For selected values of the design parameters, tables useful for finding optimal test plans are given. The effect of the pre-estimates of design parameters is studied.

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Design of ramp-stress accelerated life test plans for a parallel system with two independent components using masked data

  • Srivastava, P.W.;Savita, Savita
    • International Journal of Reliability and Applications
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    • v.18 no.2
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    • pp.45-63
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    • 2017
  • In this paper, we have formulated optimum Accelerated Life Test (ALT) plan for a parallel system with two independent components using masked data with ramp-stress loading scheme and Type-I censoring. Consider a system of two independent and non-identical components connected in parallel. Such a system fails whenever all of its components has failed. The exact component that causes the system to fail is often unknown due to cost and time constraint. For each parallel system at test, we observe its system's failure time and a set of component that includes the component actually causing the system to fail. The stress-life relationship is modelled using inverse power law, and cumulative exposure model is assumed to model the effect of changing stress. The optimal plan consists in finding out the optimum stress rate using D-optimality criterion. The method developed has been explained using a numerical example and sensitivity analysis carried out.

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Adaptive Backstepping Control of Induction Motors with Uncertainties Using a Sliding Mode Adaptive flux Observer (슬라이딩모드 적응 자속관측기를 이용한 불확실성을 갖는 유도전동기의 적응 백스테핑제어)

  • 이은욱;양해원
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.53 no.3
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    • pp.154-160
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    • 2004
  • In this paper, a combined field orientation and adaptive backstepping approach using a sliding mode adaptive flux observer, is proposed for the control of induction motor In order to achieve the speed regulation with the consideration of improving power efficiency, rotor angular speed and flux amplitude tracking objectives are formulated. Rotor flux and inverse time constant are estimated by the sliding mode adaptive flux observer based on a fixed stator frame model and mechanical lumped uncertainty such as inertia moment, load torque disturbance, friction compensated by the adaptive backstepping based on a field-oriented model. Simulation results are provided to verify the effectiveness of the proposed approach.