• Title/Summary/Keyword: Distribution limit

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Cost Limit Replacement Policy under Imperfect Repair with Inspection Error (검사오차가 있는 불완전 수리에서의 비용한계 교체 정책)

  • Yun, Won-Young
    • Journal of Korean Institute of Industrial Engineers
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    • v.16 no.2
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    • pp.45-50
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    • 1990
  • A replacement policy with repair cost limit is discussed. When a system fails, the repair cost is estimated by inspection and repair is then undertaken if the estimated cost is less than a predetermined limit L ; otherwise the system is replaced. After repair, the system is as good as new with probability(l-p) or is minimally repaired with probability p. It is assumed that repair cost can not be estimated exactly because of inspection error. When the failure time follows a Weibull distribution and repair cost a normal distribution, the value of repair cost limit minimizing the expected cost rate is shown to be finite and unique.

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Probabilistic tunnel face stability analysis: A comparison between LEM and LAM

  • Pan, Qiujing;Chen, Zhiyu;Wu, Yimin;Dias, Daniel;Oreste, Pierpaolo
    • Geomechanics and Engineering
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    • v.24 no.4
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    • pp.399-406
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    • 2021
  • It is a key issue in the tunnel design to evaluate the stability of the excavation face. Two efficient analytical models in the context of the limit equilibrium method (LEM) and the limit analysis method (LAM) are used to carry out the deterministic calculations of the safety factor. The safety factor obtained by these two models agrees well with that provided by the numerical modelling by FLAC 3D, but consuming less time. A simple probabilistic approach based on the Mote-Carlo Simulation technique which can quickly calculate the probability distribution of the safety factor was used to perform the probabilistic analysis on the tunnel face stability. Both the cumulative probabilistic distribution and the probability density function in terms of the safety factor were obtained. The obtained results show the effectiveness of this probabilistic approach in the tunnel design.

A Study on the Voltage Stabilization Method of Distribution System Using Battery Energy Storage System and Step Voltage Regulator

  • Kim, Byung-ki;Park, Jae-Beom;Choi, Sung-Sik;Jang, Moon-Seok;Rho, Dae-Seok
    • Journal of Electrical Engineering and Technology
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    • v.12 no.1
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    • pp.11-18
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    • 2017
  • In order to maintain customer voltages within the allowable limit($220{\pm}13V$) as much as possible, tap operation strategy of SVR(Step Voltage Regulator) which is located in primary feeder, is widely used for voltage control in the utilities. However, SVR in nature has operation characteristic of the delay time ranging from 30 to 150 sec, and then the compensation of BESS (Battery Energy Storage System) during the delay time is being required because the customer voltages in distribution system may violate the allowable limit during the delay time of SVR. Furthermore, interconnection of PV(Photovoltaic) system could make a difficultly to keep customer voltage within the allowable limit. Therefore, this paper presents an optimal coordination operation algorithm between BESS and SVR based on a conventional LDC (Line Drop Compensation) method which is decided by stochastic approach. Through the modeling of SVR and BESS using the PSCAD/EMTDC, it is confirmed that customer voltages in distribution system can be maintained within the allowable limit.

On the Application of Zp Control Charts for Very Small Fraction of Nonconforming under Non-normal Process (비정규 공정의 극소 불량률 관리를 위한 Zp 관리도 적용 방안 연구)

  • Kim, Jong-Gurl;Choi, Seong-Won;Kim, Hye-Mi;Um, Sang-Joon
    • Journal of Korean Society for Quality Management
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    • v.44 no.1
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    • pp.167-180
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    • 2016
  • Purpose: The problem for the traditional control chart is that it is unable to monitor the very small fraction of nonconforming and the underlying distribution is the normal distribution. $Z_p$ control chart is useful where it controls the vert small fraction on nonconforming. In this study, we will design the $Z_p$ control chart in order to use under non-normal process. Methods: $Z_p$ is calculated not by failure rate based on attribute data but using variable data. Control limit for non-normal $Z_p$ control chart is designed based on ${\alpha}$-risk calculated by cumulative distribution function of Burr distribution. ${\beta}$-risk, which is for performance evaluation, obtains in the Burr distribution's cumulative distribution function and control limit. Results: The control limit for non-normal $Z_p$ control chart is designed based on Burr distribution. The sensitivity can be checked through ARL table and OC curve. Conclusion: Non-normal $Z_p$ control chart is able to control not only the very small fraction of nonconforming, but it is also useful when $Z_p$ distribution is non-normal distribution.

Forming Limit of Mash-seam Welded Sheets (매쉬-심 용접 판재의 성형 한계)

  • 김형목;허영무;양대호;서대교
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1997.03a
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    • pp.222-225
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    • 1997
  • This paper describes experimental investigation on the forming limit for mash-seam welded sheets. The uniaxial tensile test was conducted to evaluate the mechanical properties of weld bead. Experimental forming limit diagrams were investigated for the different thicknesses and properties of welded sheets.

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Weavability Limit of Yarns with Thickness Variation in Shuttleless Weaving

  • Seyam, Abdelfattah M.
    • Fibers and Polymers
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    • v.4 no.4
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    • pp.176-181
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    • 2003
  • Theoretical weavability limit relationships of fabrics from regular warp yarns and fancy filling yams with thickness variation in shuttleless weaving are reviewed. The relationships correlate maximum warp and filling cover factors, warp and filling yarn characteristics, the distribution of thick and thin places of filling yarn over the fabric surface, and the warp and filling weave factor. The research considers single filling feeder and multiple feeders cases. Additionally, comparisons between the weavability limit of regular yarns and fancy yams in shuttle and shuttleless weaving are given.

A Study on Operation Method of Power Distribution System Integrated with Dispersed Generation System (분산형전원이 도입된 복합배전계통의 운용방안에 대한 고찰)

  • Kim, Jae-Eon;Jo, Seong-Hyeon
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.6
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    • pp.692-698
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    • 1999
  • This paper analyzes the effect of DGS(Dispersed Generation System) on the voltage regulation of the traditional distribution system of which the voltage is controlled by the bank LDC(Line Drop Compensator). Through the simulation results for 22.9kV class distribution system with DGSs, some general relationships among the operating power factor and introduction limit of DGS, and the sending-end reference voltage determined by internal setting coefficients of the LDC are derived. Those relationships are that the introduction limit of DGS increases as the power factor of DGS goes from lagging to leading and also as the allowance of the sending-end reference voltage increases. From the relationships, a operation method of the power distribution system integrated with DGSs is proposed from the view point of the operating power factor of DGS and new voltage regulation method.

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The Limit Distribution and Power of a Test for Bivariate Normality

  • Kim, Namhyun
    • Communications for Statistical Applications and Methods
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    • v.9 no.1
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    • pp.187-196
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    • 2002
  • Testing for normality has always been a center of practical and theoretical interest in statistical research. In this paper a test statistic for bivariate normality is proposed. The underlying idea is to investigate all the possible linear combinations that reduce to the standard normal distribution under the null hypothesis and compare the order statistics of them with the theoretical normal quantiles. The suggested statistic is invariant with respect to nonsingular matrix multiplication and vector addition. We show that the limit distribution of an approximation to the suggested statistic is represented as the supremum over an index set of the integral of a suitable Gaussian Process. We also simulate the null distribution of the statistic and give some critical values of the distribution and power results.

A Control Method of Distributed Generation System Which is Connected to Power Distribution System : Without LDC Operation (배전계통에서의 분산전원 도입운용 관리방법 : LDC 운전을 하지 않을 경우)

  • Jung, Won-Jae;Kim, Tae-Eung;Kim, Jae-Eon
    • Proceedings of the KIEE Conference
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    • 2001.11b
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    • pp.231-233
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    • 2001
  • Nowadays, small scale DGS(Distributed Generation System), as a wind power generation or photovoltaic generation, becomes to be introduced into the power distribution system. But in that case, it is difficult to properly maintain the terminal voltage of low voltage customers. So, it is necessary to determine the permissible operation limit of the introduced DGS for proper voltage in distribution system. In this paper computes permissible operation limit of DGS when the DGS is connected to power distribution system using fixed tap(without LDC operation). For this simulation, KEPCO distribution system is used.

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Factor of safety in limit analysis of slopes

  • Florkiewicz, Antoni;Kubzdela, Albert
    • Geomechanics and Engineering
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    • v.5 no.5
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    • pp.485-497
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    • 2013
  • The factor of safety is the most common measure of the safety margin for slopes. When the traditionally defined factor is used in kinematic approach of limit analysis, calculations can become elaborate, and iterative methods have to be used. To avoid this inconvenience, the safety factor was defined in terms of the work rates that are part of the work balance equation used in limit analysis. It was demonstrated for two simple slopes that the safety factors calculated according to the new definition fall close to those calculated using the traditional definition. Statistical analysis was carried out to find out whether, given normal distribution of the strength parameters, the distribution of the safety factor can be approximated with a well-defined probability density function. Knowing this function would make it convenient to calculate the probability of failure. The results indicated that the normal distribution could be used for low internal friction angle (up to about $16^{\circ}$) and the Johnson distribution could be used for larger angles ${\phi}$. The data limited to two simple slopes, however, does not allow assuming these distributions a priori for other slopes.