• Title/Summary/Keyword: Variable parameter nonlinearity

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MODELING OF PRESSURE CONTROL SYSTEM OF BOILER (보일러 풍압 제어 계통의 모델링)

  • Park, Min-Ho;Mok, Hyung-Soo
    • Proceedings of the KIEE Conference
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    • 1987.11a
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    • pp.362-366
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    • 1987
  • The amount of inflowing Air into the boiler has controlled by manipulating the opening of valve, damper and vane, as fan operated by induction motor operats at constant speed, but these control methods are not efficient. Thus VVVf(Variable Voltage Variable Frequency) control of fan has selected to improve efficiency and to acquire power savings. Control system of Air Flow is affected by nonlinearity caused by load variation, vane opening, etc. The analysis of control parameter causing nonlinearity is needed to acquire optimal control and excellent transient response. This paper provides modeling of boiler with various load conditions and vane opening, and analysis of this system.

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A Variable Modulus Algorithm using Sigmoid Nonlinearity with Variable Variance (가변 분산을 갖는 시그모이드 비선형성을 이용한 가변 모듈러스 알고리즘)

  • Kim Chul-Min;Choi Ik-Hyun;Oh Kil-Nam
    • Proceedings of the Korea Contents Association Conference
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    • 2005.11a
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    • pp.649-653
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    • 2005
  • To estimate for an error signal with sigmoid nonlinearity what reduced constellation applies closed eye pattern in the initial equalization, there can be improves problems of previous soft decision-directed algorithm that increasing estimate complexity and decreasing of convergence speed when substitute high-order constellation. The characteristic of sigmoid function is adjusted by a mean and a variance parameter, so it depends on adjustment of variance that what reduced constellation $values(\gamma)$ can have ranges between + $\gamma$ and - $\gamma$. In this paper, we proposed Variable Modulus Algorithm (VMA) that can be improving a performance of steady-state by adjustment of variance when equalization works normally and each cluster of constellation decrease.

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Size-dependent nonlinear pull-in instability of a bi-directional functionally graded microbeam

  • Rahim Vesal;Ahad Amiri
    • Steel and Composite Structures
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    • v.52 no.5
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    • pp.501-513
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    • 2024
  • Two-directional functionally graded materials (2D-FGMs) show extraordinary physical properties which makes them ideal candidates for designing smart micro-switches. Pull-in instability is one of the most critical challenges in the design of electrostatically-actuated microswitches. The present research aims to bridge the gap in the static pull-in instability analysis of microswitches composed of 2D-FGM. Euler-Bernoulli beam theory with geometrical nonlinearity effect (i.e. von-Karman nonlinearity) in conjunction with the modified couple stress theory (MCST) are employed for mathematical formulation. The micro-switch is subjected to electrostatic actuation with fringing field effect and Casimir force. Hamilton's principle is utilized to derive the governing equations of the system and corresponding boundary conditions. Due to the extreme nonlinear coupling of the governing equations and boundary conditions as well as the existence of terms with variable coefficients, it was difficult to solve the obtained equations analytically. Therefore, differential quadrature method (DQM) is hired to discretize the obtained nonlinear coupled equations and non-classical boundary conditions. The result is a system of nonlinear coupled algebraic equations, which are solved via Newton-Raphson method. A parametric study is then implemented for clamped-clamped and cantilever switches to explore the static pull-in response of the system. The influences of the FG indexes in two directions, length scale parameter, and initial gap are discussed in detail.

A HIGHER ORDER NUMERICAL SCHEME FOR SINGULARLY PERTURBED BURGER-HUXLEY EQUATION

  • Jiwrai, Ram;Mittal, R.C.
    • Journal of applied mathematics & informatics
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    • v.29 no.3_4
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    • pp.813-829
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    • 2011
  • In this article, we present a numerical scheme for solving singularly perturbed (i.e. highest -order derivative term multiplied by small parameter) Burgers-Huxley equation with appropriate initial and boundary conditions. Most of the traditional methods fail to capture the effect of layer behavior when small parameter tends to zero. The presence of perturbation parameter and nonlinearity in the problem leads to severe difficulties in the solution approximation. To overcome such difficulties the present numerical scheme is constructed. In construction of the numerical scheme, the first step is the dicretization of the time variable using forward difference formula with constant step length. Then, the resulting non linear singularly perturbed semidiscrete problem is linearized using quasi-linearization process. Finally, differential quadrature method is used for space discretization. The error estimate and convergence of the numerical scheme is discussed. A set of numerical experiment is carried out in support of the developed scheme.

Super-Twisting Sliding Mode Control Design for Cascaded Control System of PMSG Wind Turbine

  • Phan, Dinh Hieu;Huang, ShouDao
    • Journal of Power Electronics
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    • v.15 no.5
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    • pp.1358-1366
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    • 2015
  • This study focuses on an advanced second-order sliding mode control strategy for a variable speed wind turbine based on a permanent magnet synchronous generator to maximize wind power extraction while simultaneously reducing the mechanical stress effect. The control design based on a modified version of the super-twisting algorithm with variable gains can be applied to the cascaded system scheme comprising the current control loop and speed control loop. The proposed control inheriting the well-known robustness of the sliding technique successfully deals with the problems of essential nonlinearity of wind turbine systems, the effects of disturbance regarding variation on the parameters, and the random nature of wind speed. In addition, the advantages of the adaptive gains and the smoothness of the control action strongly reduce the chatter signals of wind turbine systems. Finally, with comparison with the traditional super-twisting algorithm, the performance of the system is verified through simulation results under wind speed turbulence and parameter variations.

Analysis of axisymmetric fractional vibration of an isotropic thin disc in finite deformation

  • Fadodun, Odunayo O.
    • Computers and Concrete
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    • v.23 no.5
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    • pp.303-309
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    • 2019
  • This study investigates axisymmetric fractional vibration of an isotropic hyperelastic semi-linear thin disc with a view to examine effects of finite deformation associated with the material of the disc and effects of fractional vibration associated with the motion of the disc. The generalized three-dimensional equation of motion is reduced to an equivalent time fraction one-dimensional vibration equation. Using the method of variable separable, the resulting equation is further decomposed into second-order ordinary differential equation in spatial variable and fractional differential equation in temporal variable. The obtained solution of the fractional vibration problem under consideration is described by product of one-parameter Mittag-Leffler and Bessel functions in temporal and spatial variables respectively. The obtained solution reduces to the solution of the free vibration problem in literature. Finally, and amongst other things, the Cauchy's stress distribution in thin disc under finite deformation exhibits nonlinearity with respect to the displacement fields whereas in infinitesimal deformation hypothesis, these stresses exhibit linear relation with the displacement field.

A Development of New Vehicle Model for Yaw Rate Estimation (요각속도 추정을 위한 새로운 차량 모델의 개발)

  • Bae, Sang-Woo;Shin, Moo-Hyun;Kim, Dae-Kyun;Lee, Jang-Moo;Lee, Jae-Hyung;Tak, Tae-Oh
    • Proceedings of the KSME Conference
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    • 2001.06b
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    • pp.565-570
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    • 2001
  • Vehicle dynamics control (VDC) system requires more information on driving conditions compared with ABS and/or TCS. In order to develop the VDC system, tire slip angles, vehicle side-slip angle, and vehicle lateral velocity as well as road friction coefficient are needed. Since there are not any cheap and reliable sensors, recent researches on parameter estimation have given rise to a number of parameter estimation techniques. This paper presents new vehicle model to estimate vehicle's yaw rate. This model is improved from the conventional 2 degrees of freedom vehicle model, so-called bicycle model, taking nonlinear effects into account. These nonlinear effects are: (i) tyre nonlinearity; (ii) lateral load transfer during cornering; (iii) variable gear ratio with respect to vehicle velocity. Estimation results are validated with the experimental results.

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An Investigation on Nonlinear Characteristics of Aerodynamic Torque for Variable-Speed Variable-Pitch Wind Turbine (가변속도-가변피치 풍력터빈의 공기역학적 토크의 비선형 특성에 관한 고찰)

  • Lim, Chae-Wook
    • The KSFM Journal of Fluid Machinery
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    • v.14 no.2
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    • pp.29-34
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    • 2011
  • Aerodynamic torque of wind turbine is highly nonlinear due to the nonlinear interactions between wind and blade. The aerodynamic nonlinearity is represented by nonlinear power and torque coefficients which are functions of wind speed, rotational speed of rotor, and pitch angle of blade. It is essential from the viewpoint of understanding and analysis of dynamic characteristics for wind turbine to linearize the aerodynamic torque and define aerodynamic nonlinear parameters as derivatives of aerodynamic torque with respect to the three parameters. In this paper, a linearization method of the aerodynamic torque from power coefficient is presented through differentiating it by the three parameters. And steady-state values of three aerodynamic nonlinear parameters according to wind speed are obtained and their nonlinear characteristics are investigated.

Stabilization of Ball-Beam System using RVEGA SMC (RVEGA SMC를 이용한 Ball-Beam 시스템의 안정화)

  • Kim, Tae-Woo;Lee, Joon-Tark
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.10
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    • pp.1327-1334
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    • 1999
  • The stabilization control of ball-beam system is difficult because of its nonlinearity and structural unstability. Futhermore, a series of classical methods such as the PID and the full state feedback controller(FSFC) based on the local linearizations have narrow stabilizable regions. At the same time, the fine tunings of their gain parameters are also troublesome. Therefore, in this paper, three improved design techniques of stabilization controller for a ball-beam system were proposed. These parameter tuning methods in the double PID controller(DPIDC), the FSFC and the a sliding mode controller(SMC) were dependent upon the Real Value Elitist Genetic Algorithm (RVEGA). Finally, by applying the DPIDC, the FSFC and the Real Variable Elitist Genetic Algorithm based Sliding Mode Control(RVEGA SMC) to the stabilizations of a ball-beam system, the performances of the RVEGA SMC technique were showed to be superior to those of two other type controllers.

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Model-based Gain Scheduling Strategy for Air-to-fuel Ratio Control Algorithm of Passenger Car Diesel Engines (승용디젤엔진의 공연비 제어 알고리즘을 위한 모델기반 게인 스케줄링 전략에 대한 연구)

  • Park, Inseok;Hong, Seungwoo;Sunwoo, Myoungho
    • Transactions of the Korean Society of Automotive Engineers
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    • v.23 no.1
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    • pp.56-64
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    • 2015
  • This study presents a model-based gain scheduling strategy for PI-based EGR controllers. The air-to-fuel ratio is used as an indirect measurement of the EGR rate. In order to cope with the nonlinearity and parameter varying characteristics of the EGR system, we proposed a static gain model of the EGR system using a new scheduling parameter. With the 810 steady-state measurements, the static gain model achieved 0.94 of R-squared value. Based on the static gain of the EGR system, the PI gains were robustly designed using quantitative feedback theory. Consequently, the gains of the PI controller are scheduled according to the static gain parameter of the EGR path in runtime. The proposed model-based gain scheduling strategy was validated through various operating conditions of engine experiments such as setpoint step responses and disturbance rejections.