• 제목/요약/키워드: Polynomial Model

검색결과 886건 처리시간 0.026초

철도 부하의 이동성을 반영한 변전소 정태부하모델링 수립에 대한 연구 (A Study on a Substation Static Load Model Including the Mobility of a Railway Load)

  • 창상훈;윤석민;김정훈
    • 전기학회논문지
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    • 제64권2호
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    • pp.315-323
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    • 2015
  • Nowadays, it is expected that mobility loads such as electric railways and electric vehicles will be penetrated gradually and affect on the power system stability by their load characteristics. Various researches have been carried out about electric vehicles for the recent decade though the load of electric railway could be forecasted because of the specified path and timetable, is a field with a long historic background. Some precise 5th polynomial equations are required to analyze the power system stability considering mobility load to be increased in the immediate future while the electric railway dispatching simulator uses load models with constant power and constant impedance for the system analysis. In this paper, seasonal urban railway load models are established as the form of 5th polynomial equations and substation load modeling methods are proposed merging railway station load models and general load models. Additionally, load management effects by the load modeling are confirmed through the case studies, in which seasonal load models are developed for Seoul Subway Line No. 2, Gyeongui Line and Airport Railroad and the substation load change is analyzed according to the railway load change.

자기구성 퍼지 다항식 뉴럴 네트워크 구조의 설계 (Design of Self-Organizing Fuzzy Polynomial Neural Networks Architecture)

  • 박호성;박건준;오성권
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2003년도 하계학술대회 논문집 D
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    • pp.2519-2521
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    • 2003
  • In this paper, we propose Self-Organizing Fuzzy Polynomial Neural Networks(SOFPNN) architecture for optimal model identification and discuss a comprehensive design methodology supporting its development. It is shown that this network exhibits a dynamic structure as the number of its layers as well as the number of nodes in each layer of the SOFPNN are not predetermined (as this is the case in a popular topology of a multilayer perceptron). As the form of the conclusion part of the rules, especially the regression polynomial uses several types of high-order polynomials such as linear, quadratic, and modified quadratic. As the premise part of the rules, both triangular and Gaussian-like membership function are studied and the number of the premise input variables used in the rules depends on that of the inputs of its node in each layer. We introduce two kinds of SOFPNN architectures, that is, the basic and modified one with both the generic and the advanced type. The superiority and effectiveness of the proposed SOFPNN architecture is demonstrated through nonlinear function numerical example.

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Pixel-Wise Polynomial Estimation Model for Low-Light Image Enhancement

  • Muhammad Tahir Rasheed;Daming Shi
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제17권9호
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    • pp.2483-2504
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    • 2023
  • Most existing low-light enhancement algorithms either use a large number of training parameters or lack generalization to real-world scenarios. This paper presents a novel lightweight and robust pixel-wise polynomial approximation-based deep network for low-light image enhancement. For mapping the low-light image to the enhanced image, pixel-wise higher-order polynomials are employed. A deep convolution network is used to estimate the coefficients of these higher-order polynomials. The proposed network uses multiple branches to estimate pixel values based on different receptive fields. With a smaller receptive field, the first branch enhanced local features, the second and third branches focused on medium-level features, and the last branch enhanced global features. The low-light image is downsampled by the factor of 2b-1 (b is the branch number) and fed as input to each branch. After combining the outputs of each branch, the final enhanced image is obtained. A comprehensive evaluation of our proposed network on six publicly available no-reference test datasets shows that it outperforms state-of-the-art methods on both quantitative and qualitative measures.

ARMAX 모델의 매개변수 추정을 위한 최적 입력 신호의 설계 (Design of the Optimal Input Singals for Parameter Estimation in the ARMAX Model)

  • 이석원;양흥석
    • 대한전기학회논문지
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    • 제37권3호
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    • pp.180-185
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    • 1988
  • This paper considers the problem of the optimal input design for parameter estimtion in the ARMAX model in which the system and noise transfer function have the common denominator polynomial. Deriving the information matrix, in detail, for the assumed model structure and using the autocorrelation functin of the filtered input as design variables, it is shown that D-optimal input signal can be realized as an autoregressive moving average process. Computer simulations are carried out to show the standard-deviation reduction in the parameter estimtes using the optimal input signal.

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전압과 주파수의 변화에 대한 전기철도 차량 부하모델 개발 (Development of Load modeling for Electric Locomotive According to Voltage and Frequency)

  • 김주락;한문섭;심건보;김정훈
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2003년도 춘계학술대회 논문집 전기기기 및 에너지변환시스템부문
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    • pp.409-411
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    • 2003
  • This paper presents development of load model for electric locomotive. A proposed load model is type of polynomial equation whose coefficients is determined by least square method. The data used in this model is acquired by measurement of EL8100.

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Properties of a Generalized Impulse Response Gramian with Application to Model Reduction

  • Choo, Younseok;Choi, Jaeho
    • International Journal of Control, Automation, and Systems
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    • 제2권4호
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    • pp.516-522
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    • 2004
  • In this paper we investigate the properties of a generalized impulse response Gramian. The recursive relationship satisfied by the family of Gramians is established. It is shown that the generalized impulse response Gramian contains information on the characteristic polynomial of a linear time-invariant continuous system. The results are applied to model reduction problem.

A DISCONTINUOUS GALERKIN METHOD FOR A MODEL OF POPULATION DYNAMICS

  • Kim, Mi-Young;Yin, Y.X.
    • 대한수학회논문집
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    • 제18권4호
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    • pp.767-779
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    • 2003
  • We consider a model of population dynamics whose mortality function is unbounded. We approximate the solution of the model using a discontinuous Galerkin finite element for the age variable and a backward Euler for the time variable. We present several numerical examples. It is experimentally shown that the scheme converges at the rate of $h^{3/2}$ in the case of piecewise linear polynomial space.

심플렉스 중심배열법의 일부실시에 관한 연구 (The fraction of simplex-centroid mixture designs)

  • 김형순;박동권
    • Journal of the Korean Data and Information Science Society
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    • 제26권6호
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    • pp.1295-1303
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    • 2015
  • 혼합물 실험으로부터 실험자는 주효과와 저차의 상호작용 효과의 추정을 원한다. 이를 위해 심플렉스 중심배열법과 같은 적절한 실험을 통해 추정할 수 있다. 그러나, 요인의 수가 늘어나면 부득이 일부실시를 행하게 된다. 이 경우 각 성분의 혼합비율의 합이 일정하다는 제약 조건은 교락으로 인해 추정가능한 상호작용의 선택을 어렵게 한다. 이러한 문제를 해결하기 위해 본 논문에서는 $Scheff{\acute{e}}$의 정준 모형 대신에 대수기하학을 기초로 한 동차다항식 (homogeneous polynomial)으로 구성된 모형을 도입하여 문제를 풀려고 한다. 이를 활용하여 심플렉스 중심배열법의 일부실시법에 대해 추정가능한 모형을 제시한다. 연산은 CoCoA 대수연산 소프트웨어를 이용하였다.

B-spline polynomials models for analyzing growth patterns of Guzerat young bulls in field performance tests

  • Ricardo Costa Sousa;Fernando dos Santos Magaco;Daiane Cristina Becker Scalez;Jose Elivalto Guimaraes Campelo;Clelia Soares de Assis;Idalmo Garcia Pereira
    • Animal Bioscience
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    • 제37권5호
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    • pp.817-825
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    • 2024
  • Objective: The aim of this study was to identify suitable polynomial regression for modeling the average growth trajectory and to estimate the relative development of the rib eye area, scrotal circumference, and morphometric measurements of Guzerat young bulls. Methods: A total of 45 recently weaned males, aged 325.8±28.0 days and weighing 219.9±38.05 kg, were evaluated. The animals were kept on Brachiaria brizantha pastures, received multiple supplementations, and were managed under uniform conditions for 294 days, with evaluations conducted every 56 days. The average growth trajectory was adjusted using ordinary polynomials, Legendre polynomials, and quadratic B-splines. The coefficient of determination, mean absolute deviation, mean square error, the value of the restricted likelihood function, Akaike information criteria, and consistent Akaike information criteria were applied to assess the quality of the fits. For the study of allometric growth, the power model was applied. Results: Ordinary polynomial and Legendre polynomial models of the fifth order provided the best fits. B-splines yielded the best fits in comparing models with the same number of parameters. Based on the restricted likelihood function, Akaike's information criterion, and consistent Akaike's information criterion, the B-splines model with six intervals described the growth trajectory of evaluated animals more smoothly and consistently. In the study of allometric growth, the evaluated traits exhibited negative heterogeneity (b<1) relative to the animals' weight (p<0.01), indicating the precocity of Guzerat cattle for weight gain on pasture. Conclusion: Complementary studies of growth trajectory and allometry can help identify when an animal's weight changes and thus assist in decision-making regarding management practices, nutritional requirements, and genetic selection strategies to optimize growth and animal performance.

Evolutionary Data Granulation 기반으로한 퍼지 집합 다항식 뉴럴 네트워크에 관한 연구 (A Study on Fuzzy Set-based Polynomial Neural Networks Based on Evolutionary Data Granulation)

  • 노석범;안태천;오성권
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2004년도 추계학술대회 학술발표 논문집 제14권 제2호
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    • pp.433-436
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    • 2004
  • In this paper, we introduce a new Fuzzy Polynomial Neural Networks (FPNNS)-like structure whose neuron is based on the Fuzzy Set-based Fuzzy Inference System (FS-FIS) and is different from that of FPNNS based on the Fuzzy relation-based Fuzzy Inference System (FR-FIS) and discuss the ability of the new FPNNS-like structure named Fuzzy Set-based Polynomial Neural Networks (FSPNN). The premise parts of their fuzzy rules are not identical, while the consequent parts of the both Networks (such as FPNN and FSPNN) are identical. This difference results from the angle of a viewpoint of partition of input space of system. In other word, from a point of view of FS-FIS, the input variables are mutually independent under input space of system, while from a viewpoint of FR-FIS they are related each other. The proposed design procedure for networks architecture involves the selection of appropriate nodes with specific local characteristics such as the number of input variables, the order of the polynomial that is constant, linear, quadratic, or modified quadratic functions being viewed as the consequent part of fuzzy rules, and a collection of the specific subset of input variables. On the parameter optimization phase, we adopt Information Granulation (IC) based on HCM clustering algorithm and a standard least square method-based learning. Through the consecutive process of such structural and parametric optimization, an optimized and flexible fuzzy neural network is generated in a dynamic fashion. To evaluate the performance of the genetically optimized FSPNN (gFSPNN), the model is experimented with using the time series dataset of gas furnace process.

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