• Title/Summary/Keyword: Partial order method

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ANALYTICAL SOLUTION OF SINGULAR FOURTH ORDER PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS OF VARIABLE COEFFICIENTS BY USING HOMOTOPY PERTURBATION TRANSFORM METHOD

  • Gupta, V.G.;Gupta, Sumit
    • Journal of applied mathematics & informatics
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    • v.31 no.1_2
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    • pp.165-177
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    • 2013
  • In this paper, we apply Homotopy perturbation transform method (HPTM) for solving singular fourth order parabolic partial differential equations with variable coefficients. This method is the combination of the Laplace transform method and Homotopy perturbation method. The nonlinear terms can be easily handled by the use of He's polynomials. The aim of using the Laplace transform is to overcome the deficiency that is mainly caused by unsatisfied conditions in other semi-analytical methods such as Homotopy perturbation method (HPM), Variational iteration method (VIM) and Adomain Decomposition method (ADM). The proposed scheme finds the solutions without any discretization or restrictive assumptions and avoids the round-off errors. The comparison shows a precise agreement between the results and introduces this method as an applicable one which it needs fewer computations and is much easier and more convenient than others, so it can be widely used in engineering too.

An Application of the On Line Partial Discharge Measurement Method in Transformer (온라인 변압기 부분방전 측정기법 적용)

  • Kweon, Dong-Jin
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.50 no.8
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    • pp.394-400
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    • 2001
  • This paper describes an application of the on line partial discharge measurement method in operating transformer. In the operating transformer, the partial discharge signal may be superimposed by radio intereference voltage(RIV) and pulse shaped noise signals generated by external corona. The partial discharge quantity showed about 3,800pC due to very high sinusoidal interferences at the measuring impedance terminal of the transformer bushing tap. In order to reject these noises, this paper applied RIV filter, band-pass filters and noise gating method. The resulting measuring sensitivity was improved from 3,800pC to 160pC.

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Blending Surface Modelling Using Sixth Order PDEs

  • You, L.H.;Zhang, Jian J.
    • International Journal of CAD/CAM
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    • v.6 no.1
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    • pp.157-166
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    • 2006
  • In order to model blending surfaces with curvature continuity, in this paper we apply sixth order partial differential equations (PDEs), which are solved with a composite power series based method. The proposed composite power series based approach meets boundary conditions exactly, minimises the errors of the PDEs, and creates almost as accurate blending surfaces as those from the closed form solution that is the most accurate but achievable only for some simple blending problems. Since only a few unknown constants are involved, the proposed method is comparable with the closed form solution in terms of computational efficiency. Moreover, it can be used to construct 3- or 4-sided patches through the satisfaction of continuities along all edges of the patches. Therefore, the developed method is simpler and more efficient than numerical methods, more powerful than the analytical methods, and can be implemented into an effective tool for the generation and manipulation of complex free-form surfaces.

A Stochastic Partial Backorder Inventory System with a linear Backorder Ratio (선형 부재고비율(線形 負在庫比率)을 갖는 확률적 부분부재고(確率的 部分負在庫)시스템에 관한 연구(硏究))

  • Lee, Kang-Woo
    • Journal of Korean Institute of Industrial Engineers
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    • v.20 no.3
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    • pp.105-116
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    • 1994
  • This paper presents an inventory model with partial backorders for the situation in which demand is deterministic, lead time follows normal distribution and back order ratio during the stockout period varies in proportion to the length of backorder period In this situations, an objective function is formulated to minimize a time-proportional backorder cast and a fixed penalty cost per unit lost. And then the procedure of iterative solution method for the model is developed to find optimal reorder paint and order quantity and a numerical example to illustrate the proposed method is presented.

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The controversial points for the assessment of soil contamination related to the change of pH of extraction solution in using partial extraction in standard method in Korea (국내 토양오염 공정시험방법의 용출법 사용시 용출액의 pH의 변화가 토양 오염 평가에 미치는 문제점)

  • 오창환;유연희;이평구;이영엽
    • Proceedings of the Korean Society of Soil and Groundwater Environment Conference
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    • 2000.11a
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    • pp.294-297
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    • 2000
  • Heavy metals are extracted from Chonju stream sediment, roadside soils and sediments along Honam expressway, soils and tailings from mining area using partial ectraction in Standard Method, partial ectraction method with maintaining 0.1N of extraction solution and acid digestion. In samples having buffer capacity against acid, 0.1N of extraction solution can not be maintained and pH of extraction solution increases up to 8.0 when partial extraction in Standard Method is used. The averages and ranges of (heavy metals extracted using partial extraction in standard method, HPE)/(heavy metals extracted using partial extraction method with maintaining 0.1N of extraction solution, HPEM) values are 0.506 and 0.145~1.126 in Cd, 0.534~ and 0.078~0.928 in Zn, 0.461 and 0.041~1.715 in Mn, 0.359 and 0.011~0.874 in Cu, 0.195 and 0.018~1.785 in Cr, 0.710 and 0.003~3.075 in Pb, and 0.088 and 1.73$\times$10$^{-5}$ ~0.303 in Fe. These data indicate that the difference between HPE and HPEM is big in the order of Fe, Cr, Cu, Mn, Cd, Zn and Pb. It is quite possible that the partial extraction method in Standard Method of soil in Korea is not adequate for an assessment of contamination in area where buffer capacity of soil will be decreased or lost after a long term exposure of soils to environmental damage.

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The Higher-Order-Modulated Slow-Frequency-Hopping Spread-Spectrum System over AWGN under Partial-Band Jamming (부분 대역 재밍 하에서의 가산성 백색 가우시안 잡음 채널에서 고차 변조의 저속 주파수 도약 대역 확산 시스템)

  • Ahn, Hyoungbae;Kim, Chanki;No, Jong-Seon;Park, Jinsoo;Song, Hong-Yeop;Han, Sung Woo
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.42 no.1
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    • pp.14-24
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    • 2017
  • In this paper, we propose a new EIM(erasure insertion method) based on the average-minimal-noise-power for HOM(higher order modulation) over AWGN(additive white Gaussian noise) under PBJ(partial-band jamming). Then we design SFH/SS(slow-frequency-hopping spread-spectrum) system by applying this method and formulate the PER(packet error rate) of the system. Based on this formula, we propose a new method to set the optimal threshold of the EIM and verify it at the designed 16-QAM SFH/SS system.

On Line Partial Discharge Measurement Method for Transformer (온라인 변압기 부분방전 측정기법)

  • Kweon, Dong-Jin;Choi, In-Hyuk;Song, Il-Keun;Park, Jae-Jun
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2001.05c
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    • pp.38-42
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    • 2001
  • This paper describes an application of the on line partial discharge measurement method in operating transformer. In the operating transformer, the partial discharge signal may be superimposed by radio intereference voltage(RIV) and pulse shaped noise signals generated by external corona. The partial discharge quantity showed about 3,800pC due to very high sinusoidal interferences at the measuring impedance terminal of the transformer bushing tap. In order to reject these noises, this paper applied RIV filter, band-pass filters and noise gating method. The resulting measuring sensitivity was improved from 3,800pC to 160pC.

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A Study on the Modernized Expression Characteristics of Traditionality Shown in Eating and Drinking Spaces - Focusing on Cases of Eating and Drinking Spaces in Four Chinese Cities - (식음공간에 나타난 전통성의 현대화 표현특성 연구 - 중국 4개 도시 내 식음공간을 중심으로 -)

  • Huang, Linxiao;Lee, Hyunseo;Kim, Kooksun
    • Journal of the Korea Furniture Society
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    • v.26 no.4
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    • pp.456-466
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    • 2015
  • Today, a definition of tourism is shifting from simple sightseeing to experiencing various cultures directly and/or indirectly. Along with the shift, all countries of the world dedicate their full attention on globalization project. In order to do so, they try to promote their images and cultures through eating and drinking spaces for food where the rest of the world can approach with ease. China is a country of diverse culinary culture. By analyzing eating and drinking spaces operated in four Chinese cities, this research studies how the traditional Chinese elements are expressed in modernization. With the research, it will navigate a direction as a new design way to establish modernized traditionality in the future. The research conducted an advanced research that set up and analyzed a standard frame of realizing practice for traditionality. By doing so, it sorted out and reviewed the characteristics of interior space into four styles; an indicative imitation method, a partial invoked method, a partial transformation method and a conceptual reception method. According to the outcome of an analysis, (a) the indicative imitation method that directly employed Chinese tradition was most used one, followed by (b) the partial invoked method that carried a part of traditional space, (c) the partial transformation method that simplified or transformed the tradition, and (d) the conceptual reception method that interpreted hidden minds and concepts by illustrating modern spirit over an inherent order in traditional Chinese space, in respective order.

Discrimination of Insulation Defects in a Gas Insulated Switchgear (GIS) by use of a Neural Network Based on a Chaos Analysis of Partial Discharge (CAPD)

  • Jung, Seoung-Yong;Ryu, Cheol-Hwi;Lim, Yun-Sok;Lee, Ja-Ho;Koo, Ja-Yoon
    • Journal of Electrical Engineering and Technology
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    • v.2 no.1
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    • pp.118-122
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    • 2007
  • In this work, experimental investigation is carried out in order to design and fabricate the UHF sensor that is able to detect the partial discharges produced from 10 artificial defects introduced into the real scale 70kV GIS mock-up under high voltage within a well shielded room. As well, in order to verify the on-site applicability of our method, the newly proposed CAPD (chaos analysis of partial discharge) is combined with spectral analysis for identifying the nature of 10 artificial defects under investigation. The PD pattern recognition of each defect has been fulfilled by applying our ANN software. The result indicates that the recognition rate reaches up to 80% by the newly proposed method while the traditional PRPD analysis method allows us to obtain 41%. In consequence, it can be pointed out that the proposed method seems likely to be applicable to the real GIS at the site.

Corrosion Behavior of Dental Alloys Cast by Various Casting Methods (치과용 주조합금의 주조방법에 따른 부식거동)

  • Choe Han-Cheol;Ko Yeong-Mu
    • Journal of the Korean institute of surface engineering
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    • v.37 no.5
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    • pp.296-300
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    • 2004
  • The defects of partial denture frameworks are mainly shrinkage porosity, inclusions, micro-crack, particles from investment, and dendritic structure. In order to investigate a good casting condition of partial denture frameworks, the three casting alloys and casting methods were used and detected casting defects were analyzed by using electrochemical methods. Three casting alloys (63Co-27Cr-5.5Mo, 63Ni-16Cr, 63Co-30Cr-5Mo) were prepared for fabricating partial denture frameworks with various casting methods; centrifugal casting (Kerr, USA), high frequency induction casting (Jelenko Eagle, USA), vacuum pressure casting (Bego, Germany). The casting temperature was $1,380^{\circ}C$ (63Co-27Cr-5.5Mo and 63Ni-16Cr) and $1,420^{\circ}C$ (63Co-30Cr-5Mo). The casting morphologies were analyzed using FE-SEM and EDX. The corrosion test of the dendritic structure was performed through potentiodynamic method in 0.9% NaCl solutions at $36.5^{\circ}C$ and corrosion surface was observed using SEM. The defects of partial denture frameworks improved in the order of centrifugal casting, high frequency induction casting, and vacuum pressure casting method, especially, pore defects were found at part of clasp in the case of centrifugal casting method. The structure of casting showed dendritic structure for three casting alloys. In the 63Co-27Cr-5.5Mo and 63Co-30Cr-5Mo, $\alpha$-Co and $\varepsilon$-Co phases were identified at matrix and $${\gamma}$-Ni_2$Cr second phase were shown in 63Ni-16Cr. Also, the corrosion resistance of cast structure increased in the order of vacuum pressure casting, high frequency induction casting, and centrifugal casting method.