• 제목/요약/키워드: Weibull distribution function

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운전조건이 변화하는 공정설비의 신뢰도 분석기법 (A Method for Reliability Analysis of Process Facilities under Changing Operating Conditions)

  • 최수형
    • 한국가스학회지
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    • 제7권4호
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    • pp.20-23
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    • 2003
  • 공정설비의 신뢰도분석은 자주 Weibull 분포에 기초를 둔 모델을 사용한다. 여기에 사용되는 매개변수들은 조업조건의 함수로서 실험에 의해 값이 결정되며 이를 토대로 신뢰도, 평균수명 및 표준편차를 계산한다 이때 기존 방법은 조업조건이 일정하다고 가정하고 이 매개변수들을 상수로 취급한다. 본 논문에서는 척도모수가 시간의 함수일 때 적용할 수 있는 신뢰도함수 및 이를 토대로 한 분석기법을 제안한다. 냉각팬에 대한 사례연구 결과 평균조업조건을 적용한 기존 방법과 큰 차이를 보였다. 제안된 방법은 다른 공정설비들에도 적용 가능하며 조업조건변화가 설비신뢰도에 미치는 영향을 효과적으로 고려할 수 있을 것으로 기대된다.

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SOME POINT ESTIMATES FOR THE SHAPE PARAMETERS OF EXPONENTIATED-WEIBULL FAMILY

  • Singh Umesh;Gupta Pramod K.;Upadhyay S.K.
    • Journal of the Korean Statistical Society
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    • 제35권1호
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    • pp.63-77
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    • 2006
  • Maximum product of spacings estimator is proposed in this paper as a competent alternative of maximum likelihood estimator for the parameters of exponentiated-Weibull distribution, which does work even when the maximum likelihood estimator does not exist. In addition, a Bayes type estimator known as generalized maximum likelihood estimator is also obtained for both of the shape parameters of the aforesaid distribution. Though, the closed form solutions for these proposed estimators do not exist yet these can be obtained by simple appropriate numerical techniques. The relative performances of estimators are compared on the basis of their relative risk efficiencies obtained under symmetric and asymmetric losses. An example based on simulated data is considered for illustration.

SCM415 침탄질화 처리재의 통계학적 피로거동에 대한 연구 (The Statistical study on the fatigue bebavior of Nitro -Carburized SCM415 steel)

  • 송삼홍;이상훈;임세혁
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1996년도 춘계학술대회 논문집
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    • pp.719-723
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    • 1996
  • In this research, The statistical characteristics of non-heated and nitro-carburized specimens are investigated under two stress levels (1.15 .sigma. $_{w}$ .leq. .sigma.$_{\alpha}$ .leq. 1.25 .sigma. $_{w}$). Seven specimens of each stress level are tested by rotary bending fatigue machine. The cycles about each crack length and crack propagation rate are used as statistical variagle of weibull distribution. By using concept of reliability function, reliable S-N formula of Nitro-Carburized specimen are gotten.ten.

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송전용 자기애자의 수명 평가 연구 (A Study on Life Expectancy Forecast for Porcelain Insulators)

  • 이원교;최인혁;황갑철;최한열
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2008년도 제39회 하계학술대회
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    • pp.462-463
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    • 2008
  • 36,000lbs porcelain insulators (D-1995, D-1997, D-2002) investigated mechanical and electrical qualities, which were installed in the Korea 154kV transmission lines. This paper assessed Weibull distribution function, quality index, and uniformity index to forecast the remaining life expectancies of insulators. Applying Weibull distribution function on year lapse change test, electro-mechanical failing load test, and HRB values confirmed a significant degree of correlation. Statistically calculating the life expectancy through quality indices for aging and new products and uniformity indices that are associated with uniformity of insulation materials revealed.

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흡수열화에 따른 Epoxy/$SiO_2$ 복합체의 전기적 특성 및 수명예측 (Electrical Properties and Lifetime Prediction of Epoxy/$SiO_2$Composites with Water Absorption Ageing)

  • 김탁용;이덕진;홍진웅
    • 한국전기전자재료학회논문지
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    • 제13권9호
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    • pp.758-763
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    • 2000
  • Dielectric strength of insulators made of epoxy composites rapidly decreases due to ageing to interfaces between the matric resin and filler particles. The adhesion variation of interfaces caused by moisture absorption also alters electrical properties that are the basic characteristics of insulators, particularly, in outdoor use. In this paper, electrical properties of epox/SiO$_2$composites were investigated at boiling absorption condition to observe the influences of moisture. In order to analyze the basic physical properties of samples, scanning electron microscopy and DC, AC and impulse voltage dielectric strength were measured. Also, the breakdown time of samples was measured under AC 6[kV] applied voltage, and the variation of lifetime was verified by using Weibull distribution function.

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리니어 타입 크로스 롤러 가이드 공압 액추에이터의 신뢰성 평가에 관한 연구 (A Study on the Reliability Analysis for a Linear Type Pneumatic Actuator with Cross Roller Guide)

  • 신봉철;조명우;강성민;이수진;최진화
    • 한국정밀공학회지
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    • 제23권5호
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    • pp.184-189
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    • 2006
  • This research presents the performance analysis of the linear type pneumatic actuators that are used in semi-conductor assembly line to transfer some product with high accuracy. To increase positioning and repetitive accuracies, a cross roller guide is implemented inside the pneumatic actuator. The finite element method is used to verify the force against working moments, and reliability analysis is performed to classify the breakdown cases. Also, reliability, failure rate, probability density function, and $B_{10}$ to life are estimated under the boundary of thrust or air leakage conditions. In this study, the failure probabilistic function of the pneumatic actuators is analyzed using Weibull distribution.

침탄질화 처리된 SCM415재의 피로거동에 대한 통계적 연구 (A Statistical Study on the Fatigue Behaviors of Nitro-Carburized SCM415)

  • 송삼홍;이상훈;임세혁
    • 한국정밀공학회지
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    • 제14권5호
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    • pp.128-133
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    • 1997
  • Due to their high strength and good wear resistance, nitro-carburizing materials have been used for many machine components. However, the nitro-carburizing materials are found to have one disadvantage ; that is, their strength and fatigue life show larger scatter than those of non-heated metals. In this paper, therfore, the statistical chracteristics of non-heated and nitro-carburized specimens for SCM415 are investi- gated under two different of stress levels 1.15 .sigma. /sub .omega. / .leq. / .sigma. / sub .alpha. / .leq. / 1.25 .sigma. /sub .omega. /. Seven specimens at each stress level are tested by using rotating bending fatigue tester. The relation between a crack length and fatigue cycles can be arranged for Weibull distribution, and S-N curve using 95% reliability function is obtalined for nitro-carburized specimen.

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배전계통 설비의 시변 고장률 추출 (Extraction of Time-varying Failure Rate for Power Distribution System Equipment)

  • 문종필;이희태;김재철;박창호
    • 대한전기학회논문지:전력기술부문A
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    • 제54권11호
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    • pp.548-556
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    • 2005
  • Reliability evaluation of power distribution system is very important to both power utilities and customers. It present the probabilistic number and duration of interruption such as failure rate, SATDI, SAIFI, and CAIDI. However, it has a fatal weakness at reliability index because of accuracy of failure rate. In this paper, the Time-varying Failure Rate(TFR) of power distribution system equipment is extracted from the recorded failure data of KEPCO(Korea Electric Power Corporation) in Korea. For TFR extraction, it is used that the fault data accumulated by KEPCO during 10 years. The TFR is approximated to bathtub curve using the exponential(random failure) and Weibull(aging failure) distribution function. In addition, Kaplan-Meier estimation is applied to TFR extraction because of incomplete failure data of KEPCO. Finally, Probability plot and regression analysis is applied. It is presented that the extracted TFR is more effective and useful than Mean Failure Rate(MfR) through the comparison between TFR and MFR

제주 북동부 지역의 지형과 대기변수에 따른 AEP계산의 정확성에 대한 연구 (An Accuracy Estimation of AEP Based on Geographic Characteristics and Atmospheric Variations in Northern East Region of Jeju Island)

  • 고정우;이병걸
    • 한국측량학회지
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    • 제30권3호
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    • pp.295-303
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    • 2012
  • 풍력발전 단지의 수익성 평가를 위해 연간 에너지 생산량(AEP ; Annual Energy Production)의 계산이 중요하다. AEP를 계산하기 위해서는 바람의 확률밀도함수(PDF ; Probability Density Function)와 풍력발전기의 발전곡선(PC; Power Curve)이 필요하며, AEP 예측의 정확성을 향상시키기 위해서는 허브 높이에서의 PDF예측과 그 높이의 공기밀도에 따른 풍력발전기 PC의 결정이 중요하다. 본 연구에서는 제주도 한동, 평대의 실관측 풍황탑(met mast) 자료를 이용하였으며 풍속의 PDF를 Weibull 분포 함수로 가정 하였고 Weibull 함수의 파라미터의 값이 높이에 따라 변화하는 양상을 확인하였다. Weibul 함수의 계산은 모멘트법과 LN-least법을 사용하였으며, 모멘트법과 LN-least법에 의한 형상계수의 경우 높이의 증가에 따라 변화를 보이지 않았고 평균값에서 ${\pm}0.1$의 변화 패턴을 보였다. 척도계수의 경우 높이가 증가함에 따라 선형적으로 증가하였으며 지형별 분류에 따른 높이별 척도계수의 기울기는 확연한 차이를 보이고 있었다. 60m 높이에서 관측된 바람의 상대도수와 관측 값의 높이 보정에 의한 공기밀도와 일반식에 의한 공기밀도를 각각 계산하여 그 결과에 대응하는PC를 선택하여 AEP차이를 계산하였다.

섬유강화금속적층재의 강도에 대한 통계적 평가 (The Statistical Evaluation of Strength in Fiber Reinforced Metal Laminates)

  • 손세원;장정원;이혜영
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1994년도 추계학술대회 논문집
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    • pp.815-819
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    • 1994
  • In this paper, the tensile strength in aluminum alloy 5052, Kevlar 49-fiber reinforced aluminum alloy laminates, and Glass-fiber reinforced aluminum alloy laminates, is statistically evaluated. Prepregs manufactured in Han Kuk Fiber is used and FRMLs is cured by Hot-Press. Standard statistical are used to determine the distribution function which best fits FRMLs strength data. The normal,lpg-normal, and two-parameter Weibull distrbuttion are evaluated using the Kolmogoorov-Smirnov goodness-of-fit test. At the 5% significance level, none of these distribution is rejected. The strength of Aluminum alloy 5052 is best fits to a normal distribution. However, the strength of Kevlar 49-fiber reinforced aluminum alloy laminates and Glass-fiber reinforced aluminum alloy laminates is best fits to a two-parameter Weibull distribution.

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