• Title/Summary/Keyword: Approximation error

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Parameter Identification and Error Analysis of Approximation method for Linear motors (리니어 모터의 매개변수 추정과 근사화의 오차 분석)

  • Nam, Jae-Wu;Oh, Joon-Tae;Kim, Gyu-Sik
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.49 no.4
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    • pp.61-68
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    • 2012
  • In this paper, a closed-loop sensorless stroke control system for a linear compressor has been designed. In order to estimate the piston position accurately, motor parameters are identified as a function of the piston position and the motor current. These parameters are stored in ROM table and used later for the accurate estimation of piston position. The identified motor parameters are approximated to the several surface functions in order to decrease memory size. They can also be divided into 2 or 4 subsections to decrease identification errors. The effect of the order of surface functions and division of subsections on identification errors and computation time is analyzed.

Physics based basis function for vibration analysis of high speed rotating beams

  • Ganesh, R.;Ganguli, Ranjan
    • Structural Engineering and Mechanics
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    • v.39 no.1
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    • pp.21-46
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    • 2011
  • The natural frequencies of continuous systems depend on the governing partial differential equation and can be numerically estimated using the finite element method. The accuracy and convergence of the finite element method depends on the choice of basis functions. A basis function will generally perform better if it is closely linked to the problem physics. The stiffness matrix is the same for either static or dynamic loading, hence the basis function can be chosen such that it satisfies the static part of the governing differential equation. However, in the case of a rotating beam, an exact closed form solution for the static part of the governing differential equation is not known. In this paper, we try to find an approximate solution for the static part of the governing differential equation for an uniform rotating beam. The error resulting from the approximation is minimized to generate relations between the constants assumed in the solution. This new function is used as a basis function which gives rise to shape functions which depend on position of the element in the beam, material, geometric properties and rotational speed of the beam. The results of finite element analysis with the new basis functions are verified with published literature for uniform and tapered rotating beams under different boundary conditions. Numerical results clearly show the advantage of the current approach at high rotation speeds with a reduction of 10 to 33% in the degrees of freedom required for convergence of the first five modes to four decimal places for an uniform rotating cantilever beam.

Self-compensation of the phase change upon reflection in two-wavelength white light interferometry for step height measurement (두 파장 백색광 간섭계를 이용한 금속물질의 단차 측정)

  • 김승우
    • Korean Journal of Optics and Photonics
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    • v.11 no.5
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    • pp.317-322
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    • 2000
  • We present a compensation method of the phase change upon reflection in the scannll1g whIte light interferometry. which pracl1cally allows precIse 3-D profIle mappmg for compo~Ite target surfaces comprising of multipledissinular matenals. The compensation method estimates the vanatlon 01 pbase change with the spectral distribution of the light source through first-order approximation, and then diIectly compensates the measurement errors by perIormmg two-wavelength white light intetferomctric measurements. Experimental results prove that the proposed self-compensatIOn mcthod is capable of reducing the measmement error in step height gauging within $\pm2nm$..

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Selection of Survival Models for Technological Development (기술발전에 따른 생존모형 선정)

  • Oh, H.S.;Kim, C.S.;Rhee, H.K.;Yim, D.S.;Cho, J.H.
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.32 no.4
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    • pp.184-191
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    • 2009
  • In a technological driven environment, a depreciation estimate which is based on traditional life analysis results in a decelerated rate of capital recovery. This time pattern of technological growths models needs to be incorporated into life analysis framework especially in those industries experiencing fast technological changes. The approximation technique for calculating the variance can be applied to the six growth models that were selected by the degree of skewness and the transformation of the functions. For the Pearl growth model, the Gompertz growth model, and the Weibull growth model, the errors have zero mean and a constant variance over time. However, transformed models like the linearized Fisher-Pry model, the linearized Gompertz growth model, and the linearized Weibull growth model have increasing variance from zero to that point at which inflection occurs. It can be recommended that if the variance of error over time is increasing, then a transformation of observed data is appropriate.

Hardware Design of Pipelined Special Function Arithmetic Unit for Mobile Graphics Application (모바일 그래픽 응용을 위한 파이프라인 구조 특수 목적 연산회로의 하드웨어 설계)

  • Choi, Byeong-Yoon
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.17 no.8
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    • pp.1891-1898
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    • 2013
  • To efficiently execute 3D graphic APIs, such as OpenGL and Direct3D, special purpose arithmetic unit(SFU) which supports floating-point sine, cosine, reciprocal, inverse square root, base-two exponential, and logarithmic operations is designed. The SFU uses second order minimax approximation method and lookup table method to satisfy both error less than 2 ulp(unit in the last place) and high speed operation. The designed circuit has about 2.3-ns delay time under 65nm CMOS standard cell library and consists of about 23,300 gates. Due to its maximum performance of 400 MFLOPS and high accuracy, it can be efficiently applicable to mobile 3D graphics application.

Real-Time Maximum Power Point Tracking Method Based on Three Points Approximation by Digital Controller for PV System

  • Kim, Seung-Tak;Bang, Tae-Ho;Lee, Seong-Chan;Park, Jung-Wook
    • Journal of Electrical Engineering and Technology
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    • v.9 no.5
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    • pp.1447-1453
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    • 2014
  • This paper proposes the new method based on the availability of three points measurement and convexity of photovoltaic (PV) curve characteristic at the maximum power point (MPP). In general, the MPP tracking (MPPT) function is the important part of all PV systems due to their power-voltage (P-V) characteristics related with weather conditions. Then, the analog-to-digital converter (ADC) and low pass filter (LPF) are required to measure the voltage and current for MPPT by the digital controller, which is used to implement the PV power conditioning system (PCS). The measurement and quantization error due to rounding or truncation in ADC and the delay of LPF might degrade the reliability of MPPT. To overcome this limitation, the proposed method is proposed while improving the performances in both steady-state and dynamic responses based on the detailed investigation of its properties for availability and convexity. The performances of proposed method are evaluated with the several case studies by the PSCAD/EMTDC$^{(R)}$ simulation. Then, the experimental results are given to verify its feasibility in real-time.

Design of 2-D IIR Digital Filters Based on a Particle Swam Optimization (Particle Swarm Optimization을 이용한 2차원 IIR 디지털필터의 설계)

  • Lee, Young-Ho
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.13 no.7
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    • pp.1312-1320
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    • 2009
  • This paper presents an efficient design method of 2-D infinite impulse response(IIR) digital filter based on a particle swarm optimization(PSO) algorithm. The design task is reformulated as a constrained minimization problem and is solved by our newly developed PSO algorithm. To ensure the stability of the designed 2-D IIR digital filters, a new stability strategy is embedded in the basic PSO algorithm. The superiority of the proposed method is demonstrated by several experiments. The results show that the approximation error of the resultant filters are better than those of the digital filters which designed by recently published filter design methods. The proposed design method can also obtain the stable2-D IIR digital filters.

Reliability and Validity of Perception on Importance of Interprofessional Core Competencies(PI-ICCP) Scale (전문직 간 핵심역량 중요성 인식 측정도구의 신뢰도와 타당도 검증)

  • Hong, Min-joo;Jeon, Min-Kyung
    • The Korean Journal of Health Service Management
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    • v.13 no.4
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    • pp.253-263
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    • 2019
  • Objectives: This study evaluated the perception on importance of interprofessional core competencies (PI-ICCP) scale. Methods: Data were collected from 353 college students of health. Content validity was tested using the content validity index for individual items(I-CVI) and for scale(S-CVI). Criterion validity was tested using the professional competencies scale developed by Choi. Reliability was evaluated using Cronbach's coefficient alpha. The goodness-of-fit of the construct validity was determined through exploratory and confirmatory factor analyses. Results: The I-CVI of each item was .8 or higher for all items, and the S-CVI was .98. The reliability of the PI-IPCC was Cronbach's α=.98. The goodness-of-fit indices of the model were χ2=1811.54(p<.001), the comparative fit index (CFI)=.91, and root mean square error of approximation (RMSEA)=.08, which satisfied the criteria. Conclusions: The construct and criterion-related validity of the perception for PI-ICCP scale were a good fit, so the instrument is appropriate for measuring perception on importance of interprofessional core competencies. Further research will be required using this instrument to investigate perception of interprofessional core competencies of health professionals.

Accuracy of Data-Model Fit Using Growing Levels of Invariance Models

  • Almaleki, Deyab A.
    • International Journal of Computer Science & Network Security
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    • v.21 no.12
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    • pp.157-164
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    • 2021
  • The aim of this study is to provide empirical evaluation of the accuracy of data-model fit using growing levels of invariance models. Overall model accuracy of factor solutions was evaluated by the examination of the order for testing three levels of measurement invariance (MIV) starting with configural invariance (model 0). Model testing was evaluated by the Chi-square difference test (∆𝛘2) between two groups, and root mean square error of approximation (RMSEA), comparative fit index (CFI), and Tucker-Lewis index (TLI) were used to evaluate the all-model fits. Factorial invariance result revealed that stability of the models was varying over increasing levels of measurement as a function of variable-to-factor ratio (VTF), subject-to-variable ratio (STV), and their interactions. There were invariant factor loadings and invariant intercepts among the groups indicating that measurement invariance was achieved. For VTF ratio (3:1, 6:1, and 9:1), the models started to show accuracy over levels of measurement when STV ratio was 6:1. Yet, the frequency of stability models over 1000 replications increased (from 69% to 89%) as STV ratio increased. The models showed more accuracy at or above 39:1 STV.

Validation of the Personality Measurement Tools for College Students: Focusing on Nursing Students (대학생 인성 측정도구의 타당화 : 간호대학생을 대상으로)

  • Heo, Myoung Lyun;Jang, Yang-min
    • The Journal of Korean Academic Society of Nursing Education
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    • v.25 no.3
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    • pp.321-330
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    • 2019
  • Purpose: The purpose of this study was to analyze the validity and reliability of the personality measurement tool for nursing college students. Methods: Questionnaires were issued to 300 nursing students, with 275 eventually collected. The items were confirmed by validity experts. Construct validity was tested using exploratory factor analysis and confirmatory factor analysis. Reliability analysis was tested using Cronbach's ${\alpha}$. Criterion validity was tested by analyzing correlation with the college adjustment scale. Results: Eight factors were confirmed by exploratory factor analysis. Confirmatory factor analysis was used to confirm the model fit (Root-mean-square residual .03; Root-mean-square error of approximation .06; Comparative fit index .92); and convergent validity and discriminant validity were confirmed. In addition, the criterion validity was confirmed through correlation (r=.64, p<.001) with the college adjustment scale. The reliability of this tool was Cronbach's ${\alpha}$ .94. Conclusion: This tool can be used to measure personality in nursing education and can be used to develop and evaluate personality programs.