• Title/Summary/Keyword: Fractal Analysis

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A Study on High Impedance Fault Detection using Wavelet Transform and Chaos Properties (웨이브릿 변환과 카오스 특성을 이용한 고저항 지락사고 검출에 관한 연구)

  • Hong, Dae-Seung;Yim, Hwa-Yeong
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2525-2527
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    • 2000
  • The analysis of distribution line faults is essential to the proper protection of power system. A high impedance fault(HIF) dose not make enough current to cause conventional protective device operating, so it is well known that undesirable operating conditions and certain types of faults on electric distribution feeders cannot be detected by using conventional protection system. In this paper, we prove that the nature of the high impedance faults is indeed a deterministic chaos, not a random motion. Algorithms for estimating Lyapunov spectrum and the largest Lyapunov exponent are applied to various fault currents detections in order to evaluate the orbital instability peculiar to deterministic chaos dynamically, and fractal dimensions of fault currents which represent geometrical self-similarity are calculated. Wavelet transform analysis is applied the time-scale information to fault signal. Time-scale representation of high impedance faults can detect easily and localize correctly the fault waveform.

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A New Model for the Analysis of Non-Spherical Particle Growth (새로운 비구형 입자 성장 해석 모델)

  • Jeong, Jae-In;Choi, Man-Soo
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.24 no.7
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    • pp.1020-1027
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    • 2000
  • A simple model for describing the non-spherical particle growth phenomena has been developed. In this model, we solve simultaneously particle volume and surface area conservation sectional equations that consider particles' non-sphericity. From the correlation between two conserved properties of sections, we can predict the evolution of the aggregates' morphology. This model was compared with a simple monodisperse-assumed model and more rigorous two-dimensional sectional model. For comparison, formation and growth of silica particles have been simulated in a constant temperature reactor environment. This new model showed good agreement with the detailed two-dimensional sectional model in total number concentration and primary particle size. The present model successfully predicted particle size distribution and morphology without costing very heavy computation load and memory needed for the analysis of two dimensional aerosol dynamics.

Radiographic analysis of the management of tooth extractions in head and neck-irradiated patients: a case series

  • Oliveira, Samanta V.;Vellei, Renata S.;Heguedusch, Daniele;Domaneschi, Carina;Costa, Claudio;Gallo, Camila de Barros
    • Imaging Science in Dentistry
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    • v.51 no.3
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    • pp.323-328
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    • 2021
  • Tooth extraction after head and neck radiotherapy exposes patients to an increased risk for osteoradionecrosis of the jaw. This study reports the results of a radiographic analysis of bone neoformation after tooth extraction in a case series of patients who underwent radiation therapy. No patients developed osteoradionecrosis within a follow-up of 1 year. Complete mucosal repair was observed 30 days after surgery, while no sign of bone formation was observed 2 months after the dental extractions. Pixel intensity and fractal dimension image analyses only showed significant bone formation 12 months after the tooth extractions. These surgical procedures must follow a strict protocol that includes antibiotic prophylaxis and therapy and complete wound closure, since bone formation at the alveolar socket occurs at a slower pace in patients who have undergone head and neck radiotherapy.

FIXED POINT THEOREMS FOR THE MODIFIED SIMULATION FUNCTION AND APPLICATIONS TO FRACTIONAL ECONOMICS SYSTEMS

  • Nashine, Hemant Kumar;Ibrahim, Rabha W.;Cho, Yeol Je;Kim, Jong Kyu
    • Nonlinear Functional Analysis and Applications
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    • v.26 no.1
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    • pp.137-155
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    • 2021
  • In this paper, first, we prove some common fixed point theorems for the generalized contraction condition under newly defined modified simulation function which generalize and include many results in the literature. Second, we give two numerical examples with graphical representations for verifying the proposed results. Third, we discuss and study a set of common fixed point theorems for two pairs (finite families) of self-mappings. Finally, we give some applications of our results in discrete and functional fractional economic systems.

A Study on Economic Performance and its Determinants by Value-Chain in Korean Solar Energy Companies (한국 태양에너지기업의 가치사슬별 경제적 성과 요인분석)

  • Kim, Dok-Han;Park, Sung-Hwan;Park, Jung-Gu
    • Journal of Energy Engineering
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    • v.18 no.3
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    • pp.175-190
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    • 2009
  • This study examines the influence of scale economy, technology, financing capability and market competition on economic performance by value chain in Korean solar energy companies, using the multiple logistic regression analysis. The current profit ratio is analyzed to have been positively affected by financing capability, while negatively by market competition. The scale economy and technology are analyzed to have no statistical significance on the economic performance. The current profit ratio for companies creating higher value in the sourcing process is negatively affected by technology while positively by financial capability. The one in the manufacturing process is affected positively by technology and financing capability, and the one in the marketing process is affected positively by financing capability while negatively by market competition. The implications of this study are as follows: Korean solar energy industry is recommended i) to establish the specific innovation system for technology development, ii) to set up advanced financial system, iii) to carry out the fractal system, the manufacturing system through the network of the firms owning core competence per value chain.

A Study on the Self-similarity Found in Fashion Design - Focusing on the Designs of Viktor & Rolf - (패션디자인에 나타나는 자기유사성에 관한 연구 - Viktor & Rolf의 디자인을 중심으로 -)

  • Kim, Yonson
    • Journal of the Korean Society of Costume
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    • v.64 no.7
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    • pp.97-113
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    • 2014
  • The study aims to determine the significance and characteristics of self-similarity inherent in natural objects or phenomena, the existence of self-similarity in design created by fashion designers, and the traits and internal significance implied in self-similarity and their effects on fashion. The subject of the study is Viktor & Rolf, and the scope of the study is the collections created from 2001 to 2014, which include designs implemented in their early years and those unveiled in the media. Self-similarity means attributes of a fractal structure appearing without change in the original form, even after modification of scale or direction in terms of shape or phenomena. As self-similarity is applied to the arts and design sectors, it leads people to pay attention to fundamental characteristics and intrinsic forms as a factor of expressing a unique creative world. Analysis of Viktor & Rolf collections generated ribbons, overlapping/juxtaposition, side decorations and exaggerated design elements as basic units of self-similarity. These factors had self-similarity rates as high as 84%. Self-similarity was established as design elements formed in the incipient stage were repeated in a certain form, and continued for a long period of time. It served as an element that recognizes design and a fashion designer at the same time. Characteristics of self-similarity appearing in Viktor & Rolf collections can be summarized as homeostasis based on an equivalent relationship, balance based on self-organization, reducibility into essential elements, and uniqueness based on odd shapes. These characteristics influenced the pursuit of consistent brand image, the maintenance of a fashion designer's creative world, the formation of styles and the expression of a fashion designer's identity.

Hydrologic Response Analysis Considering the Scale Problem : Part 1. Derivation of the Model (규모문제를 고려한 수문응답의 해석 : 1. 모형이론의 유도)

  • 성기원;선우중호
    • Water for future
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    • v.28 no.4
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    • pp.185-194
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    • 1995
  • The objective of this study is to explore scale problem and to analyze the relations between scale and geomorphologic parameters of the rainfall-runoff model. Generally, measurement and calculation of geomorphologic parameters rely on and are sensitive to the resolution of source information available. Therefore, rainfall-runoff models using geomorphologic parameters should take account of the effects of the map scale used in their development. The derived rainfall-runoff model considering scale problem in this research is the GIUH type model, that is a basin IUH consisting of the channel network response and hillslope response. The cannel network response is computed by means of the diffusion analogy transformed from linearized St. Venant equation and hillslope response is calculated by 2-parameter gamma distribution function. Representing geomorphologic structure of the channel network and initial distribution of its response is width function. This width function is derived by fractal theory and Melton's law to consider scale problems and is weighted by the source location function (SLF) proposed in this research to increase the applicability.

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Doped Sol-gel TiO2 Films for Biological Applications

  • Gartner, M.;Trapalis, C.;Todorova, N.;Giannakopoulou, T.;Dobrescu, G.;Anastasescu, M.;Osiceanu, P.;Ghita, A.;Enache, M.;Dumitru, L.;Stoica, T.;Zaharescu, M.;Bae, J.Y.;Suh, S.H.
    • Bulletin of the Korean Chemical Society
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    • v.29 no.5
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    • pp.1038-1042
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    • 2008
  • Mono and multilayer TiO2(Fe, $PEG_{600}$) films were deposited by the dip-coating on $SiO_2$/glass substrate using sol-gel method. In an attempt to improve the antibacterial properties of doped $TiO_2$ films, the influence of the iron oxides and polyethilenglycol ($PEG_{600}$) on the morphological, optical, surface chemical composition and biological properties of nanostructured layers was studied. Complementary measurements were performed including Spectroscopic Ellipsometry (SE), Scanning Electron Microscopy (SEM) coupled with the fractal analysis, X-Ray Photoelectron Spectroscopy (XPS) and antibacterial tests. It was found that different concentrations of Fe and $PEG_{600}$ added to coating solution strongly influence the porosity and morphology at nanometric scale related to fractal behaviour and the elemental and chemical states of the surfaces as well. The thermal treatment under oxidative atmosphere leads to films densification and oxides phase stabilization. The antibacterial activity of coatings against Escherichia Coli bacteria was examined by specific antibacterial tests.

Prediction of age-related osteoporosis using fractal analysis on panoramic radiographs

  • Koh, Kwang-Joon;Park, Ha-Na;Kim, Kyoung-A
    • Imaging Science in Dentistry
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    • v.42 no.4
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    • pp.231-235
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    • 2012
  • Purpose: This study was performed to evaluate the trabecular pattern on panoramic radiographs to predict age-related osteoporosis in postmenopausal women. Materials and Methods: Thirty-one postmenopausal osteoporotic women and 25 postmenopausal healthy women between the ages of 50 and 88 were enrolled in this study. The bone mineral density (BMD) of the lumbar vertebrae and femur were calculated using dual-energy X-ray absorptiometry (DXA), and panoramic radiographs were obtained. Fractal dimension (FD) was measured using the box counting method from 560 regions of interest ($51{\times}51$ pixels) in 6 sites on the panoramic radiographs. The relationships between age and BMD and between FD and BMD were assessed, and the intraobserver agreement was determined. Results: There was a significant difference in the FD values between the osteoporotic and normal groups (p<0.05). There was a significant difference in the FD values at three sites in the jaws (p<0.05). Age was significantly correlated with the BMD measurements, with an odds ratio of 1.25. However, the FD values were not significantly correlated with the BMD measurements, with an odds ratio of 0.000. The intraobserver agreement showed relatively higher correlation coefficients at the upper premolar, lower premolar, and lower anterior regions than the other sites. Conclusion: Age was an important risk factor for predicting the presence of osteoporosis in postmenopausal women. The lower premolar region was the most appropriate site for evaluating the FD value on panoramic radiographs. However, further investigation might be needed to predict osteoporosis using an FD value on panoramic radiographs.

Analysis of Behavioral Changes in Angelfish (Pterophyllum scalare) Infected with Bacterial Pathogens using Video Tracking (Video tracking을 이용한 병원성 세균에 감염된 angelfish (Pterophyllum scalare)의 행동 변화 분석)

  • Yoon-Jae, Kim;Young-Ung, Heo;Ju-Sung, Kim;Min-Kyo, Kim;Do-Hyung, Kim
    • Journal of fish pathology
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    • v.35 no.2
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    • pp.205-214
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    • 2022
  • In recent years, there have been many studies investigating changes in animal behavior using video tracking technology to track motion. However, there have been very few studies and results on changes in the behavior of fish infected with a pathogen. Therefore, the present study attempted to analyze the behavior of angelfish (Pterophyllum scalare) infected with bacterial pathogens using video tracking. Two cameras were placed in front of the water tank to obtain behavior data, and tracking was performed for three days until the day of death. Data such as average speed, changes in speed, the locations of the fish in the tank, and fractal dimension were statistically analyzed based on the fish speed and location in the tank of the fish. For bacterial infection, an individual angelfish was intraperitoneally injected with approximately 106 CFU ml-1 of Aeromonas hydrophila or Edwardsiella piscicida. The experiment was carried out five times for each group. Fish infected with the bacterial pathogens showed a tendency to increase in speed and to spend more time in the upper part of the tank one or two days before death. On the day the fish died, the average speed, changes in speed, and the fractal dimension value were significantly lower than the corresponding values in the control group, and the fish also remained in the lower part of the tank. Our results indicated that behavioral changes in fish could be successfully detected earlier than death using video tracking technology, and that this method presents potential for disease monitoring in aquaculture.