• Title/Summary/Keyword: Exponential function

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A New Fault Diagnosis Scheme between L1 Signals Using IES on the Metric Defined via Kalman Filter and Exponential Function Transformation (칼만추정과 초월함수 사영을 통한 L1 신호간의 거리 Metric에 IES을 적용한 새로운 고장진단 기법)

  • Kim, Sung-Soo
    • The Transactions of the Korean Institute of Electrical Engineers P
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    • v.64 no.1
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    • pp.23-28
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    • 2015
  • Measuring the distances between signals in the signal space is usually determined by obtaining the ideal metric which is not easy to obtain. In this research we have investigated the scheme that measures the distances between the signals constructed with the measured voltage signals connected to electric apparatus using Kalman filter and exponential mapping. The metric is defined on the feature signals obtained via the estimation process of a Kalman filter and the mapping process using the exponential transformation. Diagnosis is on the voltage fluctuations is applied to determining whether the system is in the stable state or not due to the unexpected accidents, such as power overcharge, discharge, outages flow may be the cause of the accident. The decision making scheme evaluated with respect to the effectiveness and the degree of complication with different variances. Two methods, the Hard Limit Threshold Scheme(HLTS) and the Interval Energy Scheme(IES) are proposed and compared. In experiments the IES shows better tolerance to impulse noise than the HLTS.

Performance of water-jet pump under acceleration

  • Wu, Xian-Fang;Li, Ming-Hui;Liu, Hou-Lin;Tan, Ming-Gao;Lu, You-Dong
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.13 no.1
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    • pp.794-803
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    • 2021
  • The instantaneous acceleration affects the performance of the water-jet pump obviously. Here, based on the user-defined function, the method to simulate the inner flow in water-jet pumps under acceleration conditions was established. The effects of two different acceleration modes (linear acceleration and exponential acceleration) and three kinds of different acceleration time (0.5s, 1s and 2s) on the performance of the water-jet pump were analyzed. The results show that the thrust and the pressure pulsation under exponential acceleration are lower than that under linear acceleration at the same time; the vapor volume fraction in the impeller under linear acceleration is 27.3% higher than that under exponential acceleration. As the acceleration time increases, the thrust gradually increases and the pressure pulsation amplitude at the impeller inlet and outlet gradually decreases, while the law of pressure pulsation is the opposite at the diffuser outlet. The main frequency of pressure pulsation at the impeller outlet is different under different acceleration time. The research results can provide some reference for the optimal design of water-jet pumps.

Exploring Opportunities for Mathematical Modeling in Korean High School Textbooks: An Analysis of Exponential and Logarithmic Function Tasks

  • Hyun Joo Song;Yeonseok Ka;Jihyun Hwang
    • Research in Mathematical Education
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    • v.26 no.3
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    • pp.253-270
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    • 2023
  • This study aims to investigate the extent to which Korean high school textbooks incorporate opportunities for students to engage in the mathematical modeling process through tasks related to exponential and logarithmic functions. The tasks in three textbooks were analyzed based on the actions required for each stage in the mathematical modeling process, which includes identifying essential variables, formulating models, performing operations, interpreting results, and validating the outcomes. The study identified 324 units across the three textbooks, and the reliability coefficient was 0.869, indicating a high level of agreement in the coding process. The analysis revealed that the distribution of tasks requiring engagement in each of the five stages was similar in all three textbooks, reflecting the 2015 revised curriculum and national curriculum system. Among the 324 analyzed tasks, the highest proportion of the units required performing operations found in the mathematical modeling process. The findings suggest a need to include high-quality tasks that allow students to experience the entire process of mathematical modeling and to acknowledge the limitations of textbooks in providing appropriate opportunities for mathematical modeling with a heavy emphasis on performing operations. These results provide implications for the development of mathematical modeling activities and the reconstruction of textbook tasks in school mathematics, emphasizing the need to enhance opportunities for students to engage in mathematical modeling tasks and for teachers to provide support for students in the tasks.

M-QAM Symbol Remapping Using LLR Soft Bit Information for Iterative Equalization (반복등화를 위한 LLR 연판정 비트 정보를 이용한 M-QAM 심벌 Remapping)

  • Kim, Geun-Bae;Park, Sang-Kyu
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.22 no.10
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    • pp.1020-1023
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    • 2011
  • In this paper, we present a symbol remapping method of BRGC M-ary QAM signal by using LLR soft bit decision information which is obtained after iterative decoding process. In order to reconstruct estimated transmitted signal constellation, we have to use exponential or hyperbolic tangent(tanh) function resulting in high implementation complexity. The BRGC mapping rule enables us to use a recursive operation. In addtion, we reduce the implementing complexity by using a curve fitting algorithm.

Drying Characteristics of Carrot and Green Pumpkin Slices in Waste Heat Dryer

  • Lee, Gwi-Hyun
    • Journal of Biosystems Engineering
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    • v.37 no.1
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    • pp.36-43
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    • 2012
  • Purpose: Drying characteristics of the sliced carrot and green pumpkin were investigated by using the waste heat dryer. Methods: The effects of drying temperature ($T$) and slice thickness affecting drying time were analyzed. Mathematical models for the drying curves were determined with statistical analysis of drying data. Effective diffusivity was determined for the slices of carrot and green pumpkin under various drying conditions. Results: Drying time was reduced at the drying conditions of thinner slice and higher drying temperature. Moisture ratio ($MR$) according to drying time ($t$) was well presented as an exponential function at all of drying conditions for the slices of carrot and green pumpkin with the determination coefficient ($r^2$) of >0.99. The values of effective diffusivity ($D_{ff}$) of the slices for carrot and green pumpkin were increased with increasing the drying temperature. The relationship between Ln($D_{ff}$) and $1/T$ was linear with the determination coefficient ($r^2$) of >0.97. Conclusions: Drying model was well established as an exponential function at all of drying conditions for drying samples.

A Comparison Study Between International Standard and Statistical Analysis on LED Package Life (국제표준과 통계적 분석을 통한 LED Package 수명 비교 연구)

  • Park, Se Il;Kim, Gun So;Kim, Chung Hyeok
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.31 no.2
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    • pp.122-127
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    • 2018
  • In an attempt to estimate the life projection of LED packages, IESNA published a paper regarding an LED package measurement test method in 2008, and a life projection technical document in 2011, to be used for LED life estimation. IESNA's publications regarding LED package measurement methods were functional, but they were not internationally standardized before 2017. In order to develop a standardized method, the International Standard chose to use the LM-80 as a measurement method for LED life projection in their publication in 2017. Many projection methods have been discussed by the IEC Technical Committee 34 working group, including the method using an exponential function, which reflects lumen degradation characteristics well. This study is designed to explore alternative LED package life estimation methods using an exponential function with statistical analysis, other than the one suggested by the International Standard.

Function of Cell-Bound and Released Exopolysaccharides Produced by Lactobacillus rhamnosus ATCC 9595

  • Kim Ji-Uk;Kim Young-Hoon;Han Kyoung-Sik;Oh Se-Jong;Whang Kwang-Youn;Kim Jai-Neung;Kim Sae-Hun
    • Journal of Microbiology and Biotechnology
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    • v.16 no.6
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    • pp.939-945
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    • 2006
  • The physiological characteristics and function of the exopolysaccharide (EPS) produced by Lactobacillus rhamnosus ATCC 9595 were determined. The total quantity of EPS was rapidly increased to 496$\pm$20 mg/l during the exponential phase, and then maintained steadily during the stationary phase. During the exponential phase (18 h), the total EPS consisted of 61% cell-bound EPS (cb-EPS) and 39% released EPS (r-EPS), whereas the relative proportion of EPS during the stationary phase (48 h) was convered to 23% cb-EPS and 77% r-EPS. On gel permeation chromatography, cb-EPS was fractionated as a single peak of 8.6$\times10^6$ Da, whereas r-EPS was fractionated as two peaks with average molecular weights of 4.3$\times$10$^4$ and 8.6$\times10^6$ Da. Interestingly, both EPS species exhibited anticancer properties and cholera toxin-binding activities. Our results suggest that the EPS generated by L. rhamnosus ATCC 9595 might be suitable for use as a functional food or food supplement.

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

  • Moon, Jong-Fil;Lee, Hee-Tae;Kim, Jae-Chul;Park, Chang-Ho
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.54 no.11
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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

A Calculation Method of Source Level of Underwater Transient Noise by Frequency Band (주파수 대역별 수중 순간소음 음원준위 산출 기법)

  • Choi, Jae-Yong;Oh, Jun-Seok;Lee, Phil-Ho
    • Journal of the Korea Institute of Military Science and Technology
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    • v.13 no.4
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    • pp.528-533
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    • 2010
  • This paper describes a calculation method of source level of a ship transient noise, which is one of the important elements for the ship detection. Aim of transient noise measurements is to evaluate of acoustic energy due to singular occurrence, which is therefore defined as non-periodic and short termed events like an attack periscope, a rudder and a torpedo door. In generally, in the case of randomly spaced impulse, the spectrum becomes a broadband random noise with no distinctive pattern. Therefore, frequency analysis is not particularly revealing for type of signal. In the paper, it is performed in time domain to analyze a transient noise. However, a source level of transient noise is required an investigation for multiple frequency band. So, in order to calculate a source level of transient noise, a design of exponential weighting function, convolution, band pass filtering, peak detection, root mean square, and parameter compensation are applied. The effectiveness of this calculation scheme is studied through computer simulations and a sea test. Furthermore, an application of the method is applied in a real case.

Natural Convection Heat Transfer from a Horizontal Heat Exchanger Tube with a Fin (單一핀을 가진 水平管에서의 自然對流 熱傳達)

  • 정한식;권순석
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.11 no.2
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    • pp.279-286
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    • 1987
  • An numerical and experimental study has been performed on natural convection heat transfer from a horizontal heat exchanger tube with a fin. At s bare tube, by increasing $C_{T}$ (tube conduction parameter), mean Nusselt number and outer wall temperature are apparently increased at $C_{T}$.leq.300, slightly increased at $C_{T}$>300 and they can be represented in an exponential function of $C_{T}$. Natural convection heat transfer characteristics for the tube with a fin at given Rayleigh number are well agreed by those for an isothermal cylinder at a modified Rayleigh number. The local fin Nusselt number of the tube with a downward fin is much higher than that of the tube with an upward fin. The comparisons between numerical and experimental results showed good agreement.reement.