• 대한산업공학회지
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• 제33권1호
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• pp.70-75
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• 2007

This paper discusses condition based preventive replacement for deteriorating systems. The system continuouslydeteriorates in time and fails at any deterioration level which is always monitored, It is replaced at failure or atsome deteriorated level preventively before failure. The deterioration process is represented by a Weibulldistribution with a time-linear scale parameter. The cost rate function is formed considering replacement costand opportunity loss cost and deterioration dependent failure distribution, If the system has an increasingdeterioration dependent failure rate, the optimal deterioration level for preventive replacement can be determinedfrom minimizing the cost rate. An illustrative example is given for a Weibull deterioration dependent failuredistribution.

• 한국인터넷방송통신학회논문지
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• 제16권1호
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• pp.227-232
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• 2016

전력 수요량은 매년 증가추세에 있으며, 발전소에서 동작하는 모든 장비들과 대용량의 장거리 전력수송을 위한 장비들은 전력 소비자들이 기대하는 바 신뢰할 수 있는 수준에서 완전한 상태로 동작하여야 한다. 일반적으로, 고전력 송전을 위하여 사용되고 있는 케이블은 동작수명이 30년 이라고 제작 시에 선언된다. 케이블은 동작을 시작함과 동시에 성능이 악화되는 열화과정(케이블의 전기적 특성이 악화되는)이 시작된다. 열화로 인한 신뢰성의 손상이 발생함에도 불구하고, 동작상태의 신뢰성을 진단을 받지 않았기 때문에, 언제 불의의 사고를 초래할지 예측을 할 수 없을 만큼 위험한 상태에서 동작을 하고 있는 실정이다. 우리는 케이블의 열화과정을 진단하기 위하여 진단 장비를 제작하였고, 충청남도 태안의 (주)서부발전에 설치하여 시운전 하고 있는 중이다. 우리는 측정장비를 이용하여 추출한 데이터를 얻은 결과를 시간에 따라 변동 하는 그래프로 표시하여 분석한 특성을 이전 논문들에서 제시하였다. 이 논문에서는 이전 논문에서의 측정값으로 나타낸 그래프가 Weibull 확률분포에 의한 열화 이론과 일치하는 지를 확인하고, 결과를 제시한다.

• 상하수도학회지
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• 제34권4호
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• pp.251-258
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• 2020

Sewer deterioration models are needed to forecast the remaining life expectancy of sewer networks by assessing their conditions. In this study, the serious defect (or condition state 3) occurrence probability, at which sewer rehabilitation program should be implemented, was evaluated using four probability distribution functions such as normal, lognormal, exponential, and Weibull distribution. A sample of 252 km of CCTV-inspected sewer pipe data in city Z was collected in the first place. Then the effective data (284 sewer sections of 8.15 km) with reliable information were extracted and classified into 3 groups considering the sub-catchment area, sewer material, and sewer pipe size. Anderson-Darling test was conducted to select the most fitted probability distribution of sewer defect occurrence as Weibull distribution. The shape parameters (β) and scale parameters (η) of Weibull distribution were estimated from the data set of 3 classified groups, including standard errors, 95% confidence intervals, and log-likelihood values. The plot of probability density function and cumulative distribution function were obtained using the estimated parameter values, which could be used to indicate the quantitative level of risk on occurrence of CS3. It was estimated that sewer data group 1, group 2, and group 3 has CS3 occurrence probability exceeding 50% at 13th-year, 11th-year, and 16th-year after the installation, respectively. For every data groups, the time exceeding the CS3 occurrence probability of 90% was also predicted to be 27th- to 30th-year after the installation.

• Structural Engineering and Mechanics
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• 제53권6호
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• pp.1183-1200
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• 2015

Reinforcement corrosion can cause serious safety deterioration to aging concrete structures exposed in aggressive environments. This paper presents an approach for reliability analyses of deteriorating reinforced concrete structures affected by reinforcement corrosion on the basis of the representative symptoms identified during the deterioration process. The concrete cracking growth and rebar bond strength evolution due to reinforcement corrosion are chosen as key symptoms for the performance deterioration of concrete structures. The crack width at concrete cover surface largely depends on the corrosion penetration of rebar due to the expansive rust layer at the bond interface generated by reinforcement corrosion. The bond strength of rebar in the concrete correlates well with concrete crack width and decays steadily with crack width growth. The estimates of cracking development and bond strength deterioration are examined by experimental data available from various sources, and then matched with symptom-based lifetime Weibull model. The symptom reliability and remaining useful life are predicted from the predictive lifetime Weibull model for deteriorating concrete structures. Finally, a numerical example is provided to demonstrate the applicability of the proposed approach for forecasting the performance of concrete structures subject to reinforcement corrosion. The results show that the corrosion rate has significant impact on the reliability associated with serviceability and load bearing capacity of reinforced concrete structures during their service life.

• 한국인터넷방송통신학회논문지
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• 제13권3호
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• pp.127-133
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• 2013

산업사회의 발전에 필수적인 요소 중의 하나로서, 전력 에너지의 수요는 과학 기술의 발전에 따라 꾸준히 증가해오고 있다. 전력의 수요에 부응하기 위해, 고전압과 대용량을 감당할 전력설비기 필요하다. 튼튼한 바탕 위에서 전력을 생산 공급하기 위해서는 전기 시설은 신뢰성 있게 운전해야 한다. 전력 설비가 사고를 일으킬 경우 막대한 국가적 손실을 초래하게 된다. 국가 기간 산업 시설의 중추적인 기능을 하고 있는 전력 설비는 가능한 안정된 상태를 유지하면서 오랜 기간 동안 운전할 수 있어야 하며, 사고를 미리 예방할 수 있어야 한다. 전력을 전달하기 위한 수단으로서 사용되고 있는 케이블 설계 시 수명을 약 30년으로 간주하지만, 많은 경우의 실제 현장에서는 8~12년 정도에서 파괴 현상이 발생하여 재산상의 큰 피해를 초래한다. 본 논문은 운전 중 22kV 케이블 시스템의 열화 과정에 대한 연구를 통하여 열화의 원인을 파악하였으며, 와이블 분포만 따르는 것이 아니라 열열화 후 와이블 열화를 거쳐 부분 방전에 의하여 케이블이 파괴되는 것을 확인 할 수 있었다.

• Structural Engineering and Mechanics
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• 제75권4호
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• pp.455-464
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• 2020

Reinforcement corrosion is one of the major problems in the durability of reinforced concrete structures exposed to aggressive environments. Deterioration caused by reinforcement corrosion reduces the durability and the safety margin of concrete structures, causing excessive costs in managing these structures safely. This paper aims to investigate the effects of reinforcement corrosion on the load bearing capacity deterioration of the corroded reinforced concrete structures. A new analytical method is proposed to predict the crack growth of cover concrete and evaluate the residual strength of concrete structures with corroded reinforcement failing in bond. The structural performance indicators, such as concrete crack growth and flexural strength deterioration rate, are assumed to be a stochastic process for lifetime distribution modelling of structural performance deterioration over time during the life cycle. The Weibull life evolution model is employed for analysing lifetime reliability and estimating remaining useful life of the corroded concrete structures. The results for the worked example show that the proposed approach can provide a reliable method for lifetime performance assessment of the corroded reinforced concrete structures.

• Industrial Engineering and Management Systems
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• 제6권1호
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• pp.1-10
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• 2007

The objective of this study is to develop an optimal joint cost from the perspectives of both the manufacturer and the retailer. The integrated production-inventory model with Weibull distribution deteriorating items is assumed to have a constant demand rate. A limited retailer storage space and multiple delivery per order are considered in this model. A numerical example including the sensitivity analysis is given to validate the results of the production-inventory model.

• 한국전기전자재료학회:학술대회논문집
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• 한국전기전자재료학회 2010년도 하계학술대회 논문집
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• pp.79-79
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• 2010

In this paper, we present results of the dielectric breakdown test in various 6.9kV power cables used in power plants. The dielectric strength of the different conditioned cables was measured by placing the sliced cable sections in silicone oil bath with needle electrode. The results were analyzed by the Weibull distribution. The shape and scale parameters of the Weibull distribution for each cable sections under test were calculated and evaluated. Collected data base was applied to deterioration trend analysis and lifetime guide was also proposed.

• 한국전기전자재료학회논문지
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• 제12권1호
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• pp.11-17
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• 1999

Aging characteristics of the crosslinked polyethylene have been measured after applying electrical, thermal and combined stresses. ICP and FT-IR measurements confirmed diffusion of low molecular weight components such as antioxidant and presence of carbonyl group. Carbonyl group of aged crosslinked polyethylene under combined stress was detected by FT-IR. As deterioration of the crosslinked polyethylene progresses, crystallinity degree and density decrease. Also, dielectric properties have been measured by tan $\delta$ and $\varepsilon$$_{r}$ measurements. The three-parameter Weibull distribution was found to be the best suited among other probabilistic distribution representing the dielectric breakdown strength of aged crosslinked polyethylene. The scale parameter and location parameter decreases as the applied stress increases. The shape parameter increases as the stress increases.s.

• Industrial Engineering and Management Systems
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• 제8권4호
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• pp.221-227
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• 2009

There are customer services jointly provided by two facilities so that each customer will complete the course made up of both facilities' sub-services. The two facilities are assumed invested respectively by an infrastructure owner and one subordinate facility owner, whose partnership is built on their capital investments. This paper presents a mathematical model of Stackelberg competition between the two facility owners to derive their optimal Nash equilibrium. In this study, each facility owner's profit is consisted of fixed revenue fractions of sold services, operating costs (including depreciation cost) and maintenance costs of her facility. The maintenance costs of one facility are incurred both by failures and deterioration due to usage. Moreover, for both facilities, failures are rectified immediately by minimal repairs and preventive maintenance is carried out at a fixed time epoch. Additional assumptions are also employed to develop the model such as customer arrivals are manipulated to follow a Poisson process, and each facility's lifetime is independently Weibull-distributed. The Stackelberg game proceeds as follows. At the first stage of decision making process, the infrastructure owner (acting as a leader) decides the allocation of revenue shares based on her self-interest. After observing the allocation of revenue shares, the subordinate facility owner determines her own optimal price of services. This paper investigates actions and reactions of the two partners in the system. Then analytical conditions are proposed to achieve a unique optimal Nash equilibrium. Finally, some suggestions for further research are discussed.