• 제목/요약/키워드: Polynomial-based Study

검색결과 324건 처리시간 0.024초

Analytical and experimental exploration of sobol sequence based DoE for response estimation through hybrid simulation and polynomial chaos expansion

  • Rui Zhang;Chengyu Yang;Hetao Hou;Karlel Cornejo;Cheng Chen
    • Smart Structures and Systems
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    • 제31권2호
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    • pp.113-130
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    • 2023
  • Hybrid simulation (HS) has attracted community attention in recent years as an efficient and effective experimental technique for structural performance evaluation in size-limited laboratories. Traditional hybrid simulations usually take deterministic properties for their numerical substructures therefore could not account for inherent uncertainties within the engineering structures to provide probabilistic performance assessment. Reliable structural performance evaluation, therefore, calls for stochastic hybrid simulation (SHS) to explicitly account for substructure uncertainties. The experimental design of SHS is explored in this study to account for uncertainties within analytical substructures. Both computational simulation and laboratory experiments are conducted to evaluate the pseudo-random Sobol sequence for the experimental design of SHS. Meta-modeling through polynomial chaos expansion (PCE) is established from a computational simulation of a nonlinear single-degree-of-freedom (SDOF) structure to evaluate the influence of nonlinear behavior and ground motions uncertainties. A series of hybrid simulations are further conducted in the laboratory to validate the findings from computational analysis. It is shown that the Sobol sequence provides a good starting point for the experimental design of stochastic hybrid simulation. However, nonlinear structural behavior involving stiffness and strength degradation could significantly increase the number of hybrid simulations to acquire accurate statistical estimation for the structural response of interests. Compared with the statistical moments calculated directly from hybrid simulations in the laboratory, the meta-model through PCE gives more accurate estimation, therefore, providing a more effective way for uncertainty quantification.

Power Loss Modeling of Individual IGBT and Advanced Voltage Balancing Scheme for MMC in VSC-HVDC System

  • Son, Gum Tae;Lee, Soo Hyoung;Park, Jung-Wook
    • Journal of Electrical Engineering and Technology
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    • 제9권5호
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    • pp.1471-1481
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    • 2014
  • This paper presents the new power dissipation model of individual switching device in a high-level modular multilevel converter (MMC), which can be mostly used in voltage sourced converter (VSC) based high-voltage direct current (HVDC) system and flexible AC transmission system (FACTS). Also, the voltage balancing method based on sorting algorithm is newly proposed to advance the MMC functionalities by effectively adjusting switching variations of the sub-module (SM). The proposed power dissipation model does not fully calculate the average power dissipation for numerous switching devices in an arm module. Instead, it estimates the power dissipation of every switching element based on the inherent operational principle of SM in MMC. In other words, the power dissipation is computed in every single switching event by using the polynomial curve fitting model with minimum computational efforts and high accuracy, which are required to manage the large number of SMs. After estimating the value of power dissipation, the thermal condition of every switching element is considered in the case of external disturbance. Then, the arm modeling for high-level MMC and its control scheme is implemented with the electromagnetic transient simulation program. Finally, the case study for applying to the MMC based HVDC system is carried out to select the appropriate insulated-gate bipolar transistor (IGBT) module in a steady-state, as well as to estimate the proper thermal condition of every switching element in a transient state.

동적 DGPS 측위에 의한 투영중심좌표 결정을 위한 수신기 위치의 보간 (Correction of Antenna Position for Projection Center Coordinates by Kinematic DGPS-Positioning)

  • 이종출;문두열;신상철
    • 한국측량학회지
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    • 제15권2호
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    • pp.165-173
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    • 1997
  • 동적 DGPS 측위에 의해 결정된 투영중심 좌표를 이용한 결합 번들블럭조정은 높은 정확도를 가지게 되었으며, 지상좌표 표준편차가 $\pm$10cm 이내로 결정될 수 있다. 이러한 정확도 수준에서는 더 작은 오차 성분이 중요하게 되었으며, 이 가운데 중요한 것은 GPS-Antenna 위치 사이에서 시간의 함수로 투영중심을 보간하는 것이다. 선형보간은 비행기의 비선형 움직움을 고려하지 않는 반면 최소제곱 다항식에 의한 보간은 비행기의 거동이 더 정확하게 고려되고, 위성의 상실과 신호차단 등에 의한 GPS위치의 과대오차를 소거하여 준다. 본 연구대상지 RHEINKAMP에서 3초의 시간을 이용한 보간은 MAA의 6-7초의 시간간격을 이용한 보간과는 다르며, 이러한 GPS위치는 국부회귀 다항식에 의하여 과대오차로 확인되었고, 이것은 정확한 블럭조정을 위해서는 무시할 수 없다.

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선형적 위상배열 코일구조의 시뮬레이션을 통한 민감도지도의 공간 해상도 및 필터링 변화에 따른 MR-SENSE 영상재구성 평가 (Evaluation of MR-SENSE Reconstruction by Filtering Effect and Spatial Resolution of the Sensitivity Map for the Simulation-Based Linear Coil Array)

  • 이동훈;홍철표;한봉수;김형진;서재준;김소현;이춘형;이만우
    • 대한의용생체공학회:의공학회지
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    • 제32권3호
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    • pp.245-250
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    • 2011
  • Parallel imaging technique can provide several advantages for a multitude of MRI applications. Especially, in SENSE technique, sensitivity maps were always required in order to determine the reconstruction matrix, therefore, a number of difference approaches using sensitivity information from coils have been demonstrated to improve of image quality. Moreover, many filtering methods were proposed such as adaptive matched filter and nonlinear diffusion technique to optimize the suppression of background noise and to improve of image quality. In this study, we performed SENSE reconstruction using computer simulations to confirm the most suitable method for the feasibility of filtering effect and according to changing order of polynomial fit that were applied on variation of spatial resolution of sensitivity map. The image was obtained at 0.32T(Magfinder II, Genpia, Korea) MRI system using spin-echo pulse sequence(TR/TE = 500/20 ms, FOV = 300 mm, matrix = $128{\times}128$, thickness = 8 mm). For the simulation, obtained image was multiplied with four linear-array coil sensitivities which were formed of 2D-gaussian distribution and the image was complex white gaussian noise was added. Image processing was separated to apply two methods which were polynomial fitting and filtering according to spatial resolution of sensitivity map and each coil image was subsampled corresponding to reduction factor(r-factor) of 2 and 4. The results were compared to mean value of geomety factor(g-factor) and artifact power(AP) according to r-factor 2 and 4. Our results were represented while changing of spatial resolution of sensitivity map and r-factor, polynomial fit methods were represented the better results compared with general filtering methods. Although our result had limitation of computer simulation study instead of applying to experiment and coil geometric array such as linear, our method may be useful for determination of optimal sensitivity map in a linear coil array.

저진동, 고속특성을 가지는 개선된 5차 모션 프로파일의 설계 (Development of Improved 5th Order Motion Profile for Low Vibration and High Speed)

  • 소병관;태원형;김정한
    • 한국정밀공학회지
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    • 제29권10호
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    • pp.1110-1118
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    • 2012
  • In this study, for reducing the residual vibration in high speed motion control stage, an improved 5th order polynomial motion profile was developed. When a stage is moving, the current through the motor coils has the same profile of input motion profile of acceleration, therefore the characteristics of the acceleration input profile directly affect on the performance of the amplifier that includes the current control loop. Commonly low cost amplifier and motor has a narrow current control bandwidth, therefore the proposed algorithm was designed based on this practical constraint. Simulation and experimental results showed that the proposed algorithm clearly has low residual vibration characteristics than conventional 5th order polynomial motion profile on the same drive condition.

순차논리시스템을 이용한 제산기 구성에 관한 연구 (A Study on Constructing the Divider using Sequential Logic Systems)

  • 박춘명
    • 한국정보통신학회논문지
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    • 제14권6호
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    • pp.1441-1446
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    • 2010
  • 본 논문에서는 유한체상의 순차논리시스템을 이용하여 제산기를 구성하는 방법을 제안하였다. 제안한 방법은 먼저 유한체와 순차논리시스템의 수학적 성질을 기반으로 현재상태와 차순상태 사이의 선형성질을 도출하였다. 그리고, 선형성질과 행렬로 표현한 특성다항식을 사용하여 유한체상의 순차논리시스템을 구현하였으며, 이를 이용하여 제산기를 구현하였다. 제안한 방법은 기존의 방법에 비해 규칙적이고 좀 더 효율적으로 순차논리시스템을 구현할 수 있었으며, 이를 이용하여 효과적인 제산기를 구현할 수 있었다.

GA기반 다항식 뉴럴네트워크를 이용한 비선형 모델링 (Nonlinear modeling by means of Ga based Polynomial Neural Networks)

  • 김동원;노석범;이동윤;오성권
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2001년도 합동 추계학술대회 논문집 정보 및 제어부문
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    • pp.413-415
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    • 2001
  • In this paper, Polynomial Neural Networks(PNN) is proposed to overcome some problems, such as the conflict between overfitting and good generation, and low reliability and to control nonlinearity and unknown parameter of complex system. PNN structure is consisted of layers and nodes like conventional neural networks but is not fixed and can be generated according to the system environments. The performances depend on two factors, number of inputs and order of polynomials in each node directly. In most cases these factors are decided by the trial and error of designer so optimization is needed in deciding procedure of the factors. Evolutionary algorithm is applied to decide the factors in PNN. The study is illustrated with the aid of representative time series data for gas furnace process used widely for performance comparison, and shows the designed PNN architecture with evolutionary algorithm.

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선회 고유진동수와 안정성을 고려한 회전자-베어링 시스템의 중량 최적설계 (Optimal Weight Design of Rotor-Bearing Systems Considering Whirl Natural Frequency and Stability)

  • 이동수;손윤호;최동훈
    • 대한기계학회논문집
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    • 제19권3호
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    • pp.639-646
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    • 1995
  • The objective of this study is to minimize the weight of a damped anisotropic roto-bearing system considering whirl natural frequency and stability. The system is modeled as an assemblage of rigid disks, flexible shafts and discrete bearings. The system design variables are the crosssectional areas of shaft elements and the properties of bearings. To analyze the system, the polynomial method which is derived by rearranging the calculations performed by a transfer matrix method is adopted. For the optimization, the optimization software IDOL (Integrated Design Optimization Library) which is based on the Augmented Lagrange Multiplier (ALM) method is employed. Also, an analytical design sensitivity analysis of the system is used for high accuracy and efficiency. To demonstrate the usefulness of the proposed optimal design program incorporating analysis, design sensitivity analysis, and optimization modules, a damped anisotropic rotor-bearing system is optimized to obtain 34$ weight reduction.

Work-Family Conflict and Counterproductive Behavior of Employees in Workplaces in China: Polynomial Regression and Response Surface Analysis

  • JIANG, Daokui;CHEN, Qian;NING, Lei;LIU, Qian
    • The Journal of Asian Finance, Economics and Business
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    • 제9권6호
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    • pp.95-104
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    • 2022
  • This study investigates the complex mechanism of work-family conflict affecting counterproductive behavior of employees based on resource conservation theory and 417 valid samples by using polynomial regression and response surface analysis. Counterproductive work behavior refers to any intentional behavior of an individual that has potential harm to the legitimate interests of the organization or its stakeholders. Results show that first, work-to-family conflict (WFC) and family-to-work conflict (FWC) had four matching types. Compared with "high WFC-low FWC," "low WFC-high FWC" and "low WFC-low FWC" matching conditions, the employee self-control resource depletion and counterproductive work behavior (CWB) are at their highest under "high WFC-high FWC" congruence matching condition. Second, the joint effect of WFC and FWC has a U-shaped relationship with counterproductive behavior. Compared with the "high WFC-low FWC" match state, the level of CWB in the "low WFC-high FWC" match state is higher. Third, the depletion of self-control resources played a mediating role in the effect of WFC on counterproductive behavior. Fourth, emotional intelligence moderated the relationship between the congruence of WFC and FWC and self-control resource depletion. Emotional intelligence was higher, and the positive relationship between the congruence of WFC and FWC and self-control resource depletion was weaker.

Incorporation of anisotropic scattering into the method of characteristics

  • Rahman, Anisur;Lee, Deokjung
    • Nuclear Engineering and Technology
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    • 제54권9호
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    • pp.3478-3487
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    • 2022
  • In this study, we incorporate an anisotropic scattering scheme involving spherical harmonics into the method of characteristics (MOC). The neutron transport solution in a light water reactor can be significantly improved because of the impact of an anisotropic scattering source with the MOC flat source approximation. Several problems are selected to verify the proposed scheme and investigate its effects and accuracy. The MOC anisotropic scattering source is based on the expansion of spherical harmonics with Legendre polynomial functions. The angular flux, scattering source, and cross section are expanded in terms of the surface spherical harmonics. Later, the polynomial is expanded to achieve the odd and even parity of the source components. Ultimately, the MOC angular and scalar fluxes are calculated from a combination of two sources. This paper presents various numerical examples that represent the hot and cold conditions of a reactor core with boron concentration, burnable absorbers, and control rod materials, with and without a reflector or baffle. Moreover, a small critical core problem is considered which involves significant neutron leakage at room temperature. We demonstrate that an anisotropic scattering source significantly improves solution accuracy for the small core high-leakage problem, as well as for practical large core analyses.