• 제목/요약/키워드: Quadratic Model

검색결과 938건 처리시간 0.023초

State-Space Model Predictive Control Method for Core Power Control in Pressurized Water Reactor Nuclear Power Stations

  • Wang, Guoxu;Wu, Jie;Zeng, Bifan;Xu, Zhibin;Wu, Wanqiang;Ma, Xiaoqian
    • Nuclear Engineering and Technology
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    • 제49권1호
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    • pp.134-140
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    • 2017
  • A well-performed core power control to track load changes is crucial in pressurized water reactor (PWR) nuclear power stations. It is challenging to keep the core power stable at the desired value within acceptable error bands for the safety demands of the PWR due to the sensitivity of nuclear reactors. In this paper, a state-space model predictive control (MPC) method was applied to the control of the core power. The model for core power control was based on mathematical models of the reactor core, the MPC model, and quadratic programming (QP). The mathematical models of the reactor core were based on neutron dynamic models, thermal hydraulic models, and reactivity models. The MPC model was presented in state-space model form, and QP was introduced for optimization solution under system constraints. Simulations of the proposed state-space MPC control system in PWR were designed for control performance analysis, and the simulation results manifest the effectiveness and the good performance of the proposed control method for core power control.

이차 변형을 이용한 캐릭터 동작의 과장 기법 (Exaggerating Character Motions Using Quadratic Deformation)

  • 권지용;이인권
    • 한국정보과학회논문지:컴퓨팅의 실제 및 레터
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    • 제16권5호
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    • pp.611-615
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    • 2010
  • 본 논문은 이차 변형을 이용하여 캐릭터 동작을 만화적으로 과장하는 방법을 소개한다. 기존의 캐릭터 동작 과장 기법이 각 관절의 회전각 운동 곡선을 독립적으로 과장한 것과 달리, 우리는 캐릭터의 전체적인 포즈를 이차 변형으로 모델링하고 이를 과장함으로써 캐릭터 전체의 움직임이 과장되는 효과를 낼 수 있었다. 제시한 방법은 실시간에 빠르게 계산될 수 있으며 관절이 불안정한 방향으로 꺾이는 등의 부작용이 상대적으로 적다.

Static assessment of quadratic hybrid plane stress element using non-conforming displacement modes and modified shape functions

  • Chun, Kyoung-Sik;Kassegne, Samuel Kinde;Park, Won-Tae
    • Structural Engineering and Mechanics
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    • 제29권6호
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    • pp.643-658
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    • 2008
  • In this paper, we present a quadratic element model based on non-conforming displacement modes and modified shape functions. This new and refined 8-node hybrid stress plane element consists of two additional non-conforming modes that are added to the translational degree of freedom to improve the behavior of a membrane component. Further, the modification of the shape functions through quadratic polynomials in x-y coordinates enables retaining reasonable accuracy even when the element becomes considerably distorted. To establish its accuracy and efficiency, the element is compared with existing elements and - over a wide range of mesh distortions - it is demonstrated to be exceptionally accurate in predicting displacements and stresses.

역최적제어(ILQ)를 이용한 열간압연시스템의 루퍼 장력제어기 설계 및 견실성 연구 (A Study on the Design of a Looper Strip Controller and its Robustness for Hot Strip Mills Using ILQ Control)

  • 황이철;김성배
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집B
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    • pp.93-98
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    • 2001
  • This paper studies on the design of an ILQ(Inverse Linear Quadratic optimal control) looper control system for hot strip mills. The looper which is placed between each stand plays an important role in controlling strip width by regulating strip tension variation generated from the velocity difference of main work rolls. The mathematical model for looper is firstly obtained by Taylor's linearization of nonlinear differential equations, where it is given as a linear and time invariant state-space equation. Secondly, a looper servo controller is designed by ILQ control algorithm, which is an inverse problem of LQ(Linear Quadratic optimal control) control. By tunning control gain arbitration parameters and time constants, it is shown that the ILQ looper servo controller has the performance that makes well to follow desired trajectories of both strip tension and looper angle.

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2차 보간법을 이용한 전기철도 급전계통의 고장점 산출 기법에 관한 연구 (A Study on Estimation Technique for Fault Location using Quadratic Interpolation in a Parallel Feeding AC Traction System)

  • 민명환;안태풍;권성일;정호성
    • 전기학회논문지
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    • 제66권3호
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    • pp.599-604
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    • 2017
  • Nowadays reactance method is being used as a technique for fault location in parallel feeding AC traction power system. However, implementation of this method requires a large number of field tests(ground fault) which is a huge burden on the operators. This paper presents a new estimation technique using quadratic interpolation to reduce number of times for field test and improves the accuracy of fault location. To verify a new technique, we solve AT feeding circuit and model it using PSCAD/EMTDC. Finally this paper conducts a comparative analysis of usefulness between a new technique and real field data.

Stochastic along-wind response of nonlinear structures to quadratic wind pressure

  • Floris, Claudio;de Iseppi, Luca
    • Wind and Structures
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    • 제5권5호
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    • pp.423-440
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    • 2002
  • The effects of the nonlinear (quadratic) term in wind pressure have been analyzed in many papers with reference to linear structural models. The present paper addresses the problem of the response of nonlinear structures to stochastic nonlinear wind pressure. Adopting a single-degree-of-freedom structural model with polynomial nonlinearity, the solution is obtained by means of the moment equation approach in the context of It$\hat{o}$'s stochastic differential calculus. To do so, wind turbulence is idealized as the output of a linear filter excited by a Gaussian white noise. Response statistical moments are computed for both the equivalent linear system and the actual nonlinear one. In the second case, since the moment equations form an infinite hierarchy, a suitable iterative procedure is used to close it. The numerical analyses regard a Duffing oscillator, and the results compare well with Monte Carlo simulation.

QUADRATIC B-SPLINE GALERKIN SCHEME FOR THE SOLUTION OF A SPACE-FRACTIONAL BURGERS' EQUATION

  • Khadidja Bouabid;Nasserdine Kechkar
    • 대한수학회지
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    • 제61권4호
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    • pp.621-657
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    • 2024
  • In this study, the numerical solution of a space-fractional Burgers' equation with initial and boundary conditions is considered. This equation is the simplest nonlinear model for diffusive waves in fluid dynamics. It occurs in a variety of physical phenomena, including viscous sound waves, waves in fluid-filled viscous elastic pipes, magneto-hydrodynamic waves in a medium with finite electrical conductivity, and one-dimensional turbulence. The proposed QBS/CNG technique consists of the Galerkin method with a function basis of quadratic B-splines for the spatial discretization of the space-fractional Burgers' equation. This is then followed by the Crank-Nicolson approach for time-stepping. A linearized scheme is fully constructed to reduce computational costs. Stability analysis, error estimates, and convergence rates are studied. Finally, some test problems are used to confirm the theoretical results and the proposed method's effectiveness, with the results displayed in tables, 2D, and 3D graphs.

Optimal Particle Swarm Based Placement and Sizing of Static Synchronous Series Compensator to Maximize Social Welfare

  • Hajforoosh, Somayeh;Nabavi, Seyed M.H.;Masoum, Mohammad A.S.
    • Journal of Electrical Engineering and Technology
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    • 제7권4호
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    • pp.501-512
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    • 2012
  • Social welfare maximization in a double-sided auction market is performed by implementing an aggregation-based particle swarm optimization (CAPSO) algorithm for optimal placement and sizing of one Static Synchronous Series Compensator (SSSC) device. Dallied simulation results (without/with line flow constraints and without/with SSSC) are generated to demonstrate the impact of SSSC on the congestion levels of the modified IEEE 14-bus test system. The proposed CAPSO algorithm employs conventional quadratic smooth and augmented quadratic nonsmooth generator cost curves with sine components to improve the accurate of the model by incorporating the valve loading effects. CAPSO also employs quadratic smooth consumer benefit functions. The proposed approach relies on particle swarm optimization to capture the near-optimal GenCos and DisCos, as well as the location and rating of SSSC while the Newton based load flow solution minimizes the mismatch equations. Simulation results of the proposed CAPSO algorithm are compared to solutions obtained by sequential quadratic programming (SQP) and a recently implemented Fuzzy based genetic algorithm (Fuzzy-GA). The main contributions are inclusion of customer benefit in the congestion management objective function, consideration of nonsmooth generator characteristics and the utilization of a coordinated aggregation-based PSO for locating/sizing of SSSC.

CAD/CAE를 이용한 세선 성형용 필거밀 공정의 최적설계 (Optimum design of a pilger mill process for wire forming using CAD/CAE)

  • 정용수;박훈재;김승수;나경환;이형욱;한창수
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2003년도 추계학술대회논문집
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    • pp.84-88
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    • 2003
  • In this paper, The optimum design of a die shape has been carried out the FEM analysis of a pilger mill process considering various factors. The pilger mill forming process consists of a pair of rotating die which has appropriate surface shape. The important design parameters of the pilger mill are the feed rate and the profile of grooved die. Optimum design procedure was performed in order to investigated effects on the forming load and the deformed shape of material depending on the die radius profile. Profile of the die surface for the optimum design were suggested with the linear, the cosine and the quadratic curve considering a physical forming process. The surface of each die was modeled using the 3DAutoCAD and the analysis of pilger forming process was performed using the LS-DYNA3D. The optimum profile of the die shape for the pilger mill was determined to the quadratic profile. Since the analysis results provide that the model of the quadratic profile gives the lowest forming load and a proper deformed shape.

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딜또는노딜 게임에서 딜금액 결정 모형 (Deal price model in Deal-or-No-Deal game)

  • 송설희;안수한
    • Journal of the Korean Data and Information Science Society
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    • 제25권4호
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    • pp.697-703
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    • 2014
  • 본 논문에서 다루는 딜또는노딜 게임은 미국 NBC 방송국의 인기 오락 프로그램으로 여러 개의 단계로 구성되어 있다. 본 논문에서는 각 단계에서 제시되는 딜금액 결정 모형을 제한이 있는 회귀모형과 이차계획법을 이용하여 규명한다. 최종적으로 딜금액 결정 모형식과 관련하여 각 단계별로 선형식을 유도하고 딜금액이 선형식으로부터 얻어지는 값을 반올림한 정수값과 일치함을 시뮬레이션 자료를 이용하여 밝혔다.