• Title/Summary/Keyword: Mathematical Models

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Mathematical Modeling Analysis of the Human Visual Filters (인간시각필터의 수학적 모델링 해석)

  • Lee, Jeok-Sik
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.38 no.6
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    • pp.617-629
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    • 2001
  • The mathematical models for the receptive field of simple cells in the human visual system have been developed in the areas of psychophysics, physiology and neuroscience. The various models used in the fields of digital image processing and computer vision include Gator complex, Gaussian derivatives and Hermite functions. In this paper, the effective widths for the models are derived based on the space-frequency uncertainty principle. The center frequency and parameters related to the models are determined in accordance with the human visual filters, and resultant bandwidths are analyzed. Furthermore, the characteristics of space and frequency for the models is analyzed and compared to the experimental data obtained from psychophysics.

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Predicting the Failure of Slope by Mathematical Model (수학적 모델을 이용한 사면파괴예측)

  • Han Heui Soo;Chang Ki Tae
    • Journal of the Korean Geotechnical Society
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    • v.21 no.2
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    • pp.145-150
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    • 2005
  • It is useful to select an appropriate mathematical model to predict landslide. Through observation and analysis of real-time measured time series, a reasonable mathematic model is chosen to do prediction of landslide. Two theoretical models, such as polynomial function and growth model, are suggested for the description and analysis of measured defermation from an active landslides. These models are applied herein to describe the main characteristics of defermation process for two types of landslide, namely polynomial and growth models. The TRS (tensiof rotation and settlement) sensors are applied to adopt two models, and the data analysis of two field (Neurpjae and Buksil) resulted in good coincidence between measured data and models.

A Study on the Anti-Rolling Control System of Small Ship (소형선박의 횡요방지 제어장치 연구)

  • Kim, Si-Young;Yoo, Jae-Bok;Moon, Chul-Jin
    • Journal of Fisheries and Marine Sciences Education
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    • v.11 no.2
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    • pp.184-202
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    • 1999
  • The roll damping characteristics of the three models of a small fishing(3 ton class fishing vessel), such as the bare hull, hull with bilge keels, and hull with bilge keels and a central wing are investigated by the free roll and head waves tests in calm water in a towing tank with the various forward speeds, initial angles and OG's. The experimental results are compared with the numerical results of mathematical modelings by the energy method for these three models and the energy dissipation patterns are also compared. And the wave length variations are also included. The experimental results are compared with the numerical results of mathematical modelings by the energy method for these three models and the energy dissipation patterns are also compared. The roll damping moment of the models is increased for zero speed cases, but as the speed increases, the effect of the waves on the roll damping of the models with the additional devices is negligible due to the much increased damping caused by the lift increase.

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The development of TGOV5 model representing a steam turbine and boiler for implementation into EMTDC (EMTDC용 1차 에너지계 모델(TGOV5) 개발)

  • Hur, J.;Kim, D.J.;Yoon, J.Y.;Moon, Y.H.;Lee, J.;Yoon, Y.B.
    • Proceedings of the KIEE Conference
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    • 2001.11b
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    • pp.282-285
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    • 2001
  • In general, the PSS/E program based on RMS mathematical models is used for analyzing the steady state and transient stability phenomena of full-scale large power system. Whereas, the EMTDC program unlike PSS/E, studies the specific reduced small-scale power systems as a basis of instantaneous value mathematical models and used to analyze the Electro-Magnetic transient characteristics. The PSS/E provides various control models such as exciter, governor, PSS models and TGOV5 model but there are few control models in EMTDC. In this paper, we developed EMTDC model for TGOV5 of a steam turbine and boiler which represents governor action, main, reheat and low-pressure effects, including boiler effects. The EMTDC model is developed by examining PSS/E control block and using User Define Model(UDM) in addition to default.lib provided by EMTDC. We verify the correctness of developed TGOV5 model with PSS/E and EMTDC simulation results using Governor Step(GSTEP) method.

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State-Space Model Predictive Control Method for Core Power Control in Pressurized Water Reactor Nuclear Power Stations

  • Wang, Guoxu;Wu, Jie;Zeng, Bifan;Xu, Zhibin;Wu, Wanqiang;Ma, Xiaoqian
    • Nuclear Engineering and Technology
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    • v.49 no.1
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    • pp.134-140
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    • 2017
  • A well-performed core power control to track load changes is crucial in pressurized water reactor (PWR) nuclear power stations. It is challenging to keep the core power stable at the desired value within acceptable error bands for the safety demands of the PWR due to the sensitivity of nuclear reactors. In this paper, a state-space model predictive control (MPC) method was applied to the control of the core power. The model for core power control was based on mathematical models of the reactor core, the MPC model, and quadratic programming (QP). The mathematical models of the reactor core were based on neutron dynamic models, thermal hydraulic models, and reactivity models. The MPC model was presented in state-space model form, and QP was introduced for optimization solution under system constraints. Simulations of the proposed state-space MPC control system in PWR were designed for control performance analysis, and the simulation results manifest the effectiveness and the good performance of the proposed control method for core power control.

Optimal Cognitive System Modeling Using the Stimulus-Response Matrix (자극-반응 행렬을 이용한 인지 시스템 최적화 모델)

  • Choe, Gyeong-Hyeon;Park, Min-Yong;Im, Eun-Yeong
    • Journal of the Ergonomics Society of Korea
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    • v.19 no.1
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    • pp.11-22
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    • 2000
  • In this research report, we are presenting several optimization models for cognitive systems by using stimulus-response matrix (S-R Matrix). Stimulus-response matrices are widely used for tabulating results from various experiments and cognition systems design in which the recognition and confusability of stimuli. This paper is relevant to analyze the optimization/mathematical programming models. The weakness and restrictions of the existing models are resolved by generalization considering average confusion of each subset of stimuli. Also, clustering strategies are used in the extended model to obtain centers of cluster in terms of minimal confusion as well as the character of each cluster.

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A Study on Optimization Model of Time-Cost Trade-off Analysisusing Particle Swarm Optimization (Particle Swarm Optimization을 이용한 공기-비용 절충관계 최적화 모델에 관한 연구)

  • Park, U-Yeol;An, Sung-Hoon
    • Journal of the Korea Institute of Building Construction
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    • v.8 no.6
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    • pp.91-98
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    • 2008
  • It is time-consuming and difficulty to solve the time-cost trade-off problems, as there are trade-offs between time and cost to complete the activities in construction projects and this problems do not have unique solutions. Typically, heuristic methods, mathematical models and GA models has been used to solve this problems. As heuristic methods and mathematical models are have weakness in solving the time-cost trade-off problems, GA based model has been studied widely in recent. This paper suggests the time-cost trade-off optimization algorithm using particle swarm optimization. The traditional particle swarm optimization model is modified to generate optimal tradeoffs among construction time and cost efficiently. An application example is analyzed to illustrate the use of the suggested algorithm and demonstrate its capabilities in generating optimal tradeoffs among construction time and cost. Future applications of the model are suggested in the conclusion.

TOPOLOGICAL R2-DIVISIBLE R3-SPACES

  • Im, Jang-Hwan
    • Communications of the Korean Mathematical Society
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    • v.17 no.4
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    • pp.647-673
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    • 2002
  • There are many models to study topological $R^2$-planes. Unlike topological $R^2$-planes, it is difficult to find models to study topological R$^3$)-spaces. If an 4-dimensional affine plane intersects with R$^3$, we are able to get a geometrical structure on R$^3$ which is similar to R$^3$-space, and called $R^2$-divisible R$^3$-space. Such spatial geometric models is useful to study topological R$^3$-spaces. Hence, we introduce some classes of topological $R^2$-divisible R$^3$-spaces which are induced from 4-dimensional anne planes.

Review of Stormwater Quality, Quantity and Treatment Methods Part 2: Stormwater: Quality Modelling

  • Aryal, Rupak;Kandasamy, J.;Vigneswaran, S.;Naidu, R.;Lee, S.H.
    • Environmental Engineering Research
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    • v.14 no.3
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    • pp.143-149
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    • 2009
  • In this paper, review of stormwater quality and quantity in the urban environment is presented. The review is presented in three parts. This second part reviews the mathematical techiques used in the stromwater quality modelling and has been undertaken by examining a number of models that are in current use. The important features of models are discussed.

Hemodynamic Analysis of Pig's Left Common Coronary Artery (LCCA) (II) (좌주간부 관상동맥(LCCA)에 관한 혈류역학적 분석 (II))

  • Moon, Su-Yeon;Jang, Ju-Hee;Park, Jung-Su;Shin, Seh-Yun
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.2043-2047
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    • 2003
  • The distributions of blood pressure, blood flow, and blow volume in the left common artery (LCCA) were determined using the lumping parameter method. In order to develop a mathematical model for microcirculation in LCCA, the present study adopted preexisted set of measured morphological data on anatomy, mechanical properties of the coronary vessels, viscosity of blood, the basic laws of physics, and the appropriate boundary condition. Pressures and volumes of blood and flow resistance were expressed in terms of electrical voltages, current, and resistances, respectively, in the electrical analog model. The results of two mathematical models, symmetrical and asymmetrical models, were compared with other investigator's data. The present results were in good agreement with previous studies. It was found that the mean pressure profiles were similar in both models.

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