• Title/Summary/Keyword: Power of a graph

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메이슨의 공식을 이용한 본드그래프의 전달함수 유도법에 관한 연구 (A Study on the Induction Method of Transfer Function of Bond Graph using Mason's Rule)

  • 한창수;오재응
    • 한국자동차공학회논문집
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    • 제6권4호
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    • pp.66-75
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    • 1998
  • In many case of optimal design and sensitivity analysis, obtaining of transfer function between input and output variables is a difficult and time-consuming problem. The bond graph modeling is a method that is used for making it easy to analyze complex systems composed of mechanical and electrical parts. It gives us a simple and systematic tool to get state-space equations easily. And we can obtain the transfer function graphically using bond graph and Mason's rule. This paper shows how bond graphs are converted to block diagram and how Mason's rule is applied. And the simple direct method to obtain transfer function from bond graph is introduced. As a example, induction of transfer function of electric power steering composed of mechanical and electrical parts will be done.

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A Dependability Modeling of Software Under Memory Faults for Digital System in Nuclear Power Plants

  • Park, Jong-Gyun;Seong, Poong-Hyun
    • Nuclear Engineering and Technology
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    • 제29권6호
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    • pp.433-443
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    • 1997
  • In this work, an analytic approach to the dependability of software in the operational phase is suggested with special attention to the hardware fault effects on the software behavior : The hardware faults considered are memory faults and the dependability measure in question is the reliability. The model is based on the simple reliability theory and the graph theory which represents the software with graph composed of nodes and arcs. Through proper transformation, the graph can be reduced to a simple two-node graph and the software reliability is derived from this graph. Using this model, we predict the reliability of an application software in the digital system (ILS) in the nuclear power plant and show the sensitivity of the software reliability to the major physical parameters which affect the software failure in the normal operation phase. We also found that the effects of the hardware faults on the software failure should be considered for predicting the software dependability accurately in operation phase, especially for the software which is executed frequently. This modeling method is particularly attractive for the medium size programs such as the microprocessor-based nuclear safety logic program.

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ON RINGS WHOSE ANNIHILATING-IDEAL GRAPHS ARE BLOW-UPS OF A CLASS OF BOOLEAN GRAPHS

  • Guo, Jin;Wu, Tongsuo;Yu, Houyi
    • 대한수학회지
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    • 제54권3호
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    • pp.847-865
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    • 2017
  • For a finite or an infinite set X, let $2^X$ be the power set of X. A class of simple graph, called strong Boolean graph, is defined on the vertex set $2^X{\setminus}\{X,{\emptyset}\}$, with M adjacent to N if $M{\cap}N={\emptyset}$. In this paper, we characterize the annihilating-ideal graphs $\mathbb{AG}(R)$ that are blow-ups of strong Boolean graphs, complemented graphs and preatomic graphs respectively. In particular, for a commutative ring R such that AG(R) has a maximum clique S with $3{\leq}{\mid}V(S){\mid}{\leq}{\infty}$, we prove that $\mathbb{AG}(R)$ is a blow-up of a strong Boolean graph if and only if it is a complemented graph, if and only if R is a reduced ring. If assume further that R is decomposable, then we prove that $\mathbb{AG}(R)$ is a blow-up of a strong Boolean graph if and only if it is a blow-up of a pre-atomic graph. We also study the clique number and chromatic number of the graph $\mathbb{AG}(R)$.

태양광 발전량 데이터의 시계열 모델 적용을 위한 결측치 보간 방법 연구 (A Research for Imputation Method of Photovoltaic Power Missing Data to Apply Time Series Models)

  • 정하영;홍석훈;전재성;임수창;김종찬;박철영
    • 한국멀티미디어학회논문지
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    • 제24권9호
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    • pp.1251-1260
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    • 2021
  • This paper discusses missing data processing using simple moving average (SMA) and kalman filter. Also SMA and kalman predictive value are made a comparative study. Time series analysis is a generally method to deals with time series data in photovoltaic field. Photovoltaic system records data irregularly whenever the power value changes. Irregularly recorded data must be transferred into a consistent format to get accurate results. Missing data results from the process having same intervals. For the reason, it was imputed using SMA and kalman filter. The kalman filter has better performance to observed data than SMA. SMA graph is stepped line graph and kalman filter graph is a smoothing line graph. MAPE of SMA prediction is 0.00737%, MAPE of kalman prediction is 0.00078%. But time complexity of SMA is O(N) and time complexity of kalman filter is O(D2) about D-dimensional object. Accordingly we suggest that you pick the best way considering computational power.

한국 웹 그래프와 진화에 대한 연구 (Graph Structure and Evolution of the Korea web)

  • 한인규;이상호
    • 정보처리학회논문지D
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    • 제14D권3호
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    • pp.293-302
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    • 2007
  • 웹 그래프에 대한 연구는 웹 문서의 효율적인 수집을 위하여 적용되는 알고리즘과, 커뮤니티의 검색 및 발견의 분야에 있어 매우 중요한 위치를 차지한다. 또한 웹 그래프의 연구에 있어 발견되는 웹의 현상들은 웹이 가지고 있는 특징들을 나타내며 웹 그래프의 진화를 연구함으로써 웹의 크기와 진화 프로세스를 예측할 수 있다. 본 논문에서는 약 1억 1천만 개의 노드와 약 27억 개의 노드를 가지는 한국 웹 그래프에 대한 연구를 수행한다. 먼저 한국 웹의 페이지들이 서로 얼마나 연결되어 있는가에 대한 접속도 연구를 수행한다. 한국 웹의 접속도는 bow-tie 모형으로 표현할 수 있다. 또한 Power Law 현상과 같은 한국 웹의 특징이 글로벌 웹과 어떤 차이가 있는지 분석한다. 한국 웹 그래프의 속성은 글로벌 웹과는 많은 차이를 보여주었다. 마지막으로 한국 웹 그래프의 진화에 대한 연구를 여러 가지 관점으로 수행한다.

ON CLASSES OF RATIONAL RESOLVING SETS OF POWER OF A PATH

  • JAYALAKSHMI, M.;PADMA, M.M.
    • Journal of applied mathematics & informatics
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    • 제39권5_6호
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    • pp.689-701
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    • 2021
  • The purpose of this paper is to optimize the number of source places required for the unique representation of the destination using the tools of graph theory. A subset S of vertices of a graph G is called a rational resolving set of G if for each pair u, v ∈ V - S, there is a vertex s ∈ S such that d(u/s) ≠ d(v/s), where d(x/s) denotes the mean of the distances from the vertex s to all those y ∈ N[x]. A rational resolving set is called minimal rational resolving set if no proper subset of it is a rational resolving set. In this paper we study varieties of minimal rational resolving sets defined on the basis of its complements and compute the minimum and maximum cardinality of such sets, respectively called as lower and upper rational metric dimensions for power of a path Pn analysing various possibilities.

PEBBLING EXPONENTS OF PATHS

  • Kim, Ju-Young;Kim, Sun-Ah
    • 호남수학학술지
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    • 제32권4호
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    • pp.769-776
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    • 2010
  • A pebbling move on a connected graph G is taking two pebbles off of one vertex and placing one of them on an adjacent vertex. For a connected graph G, $G^p$ (p > 1) is the graph obtained from G by adding the edges (u, v) to G whenever 2 $\leq$ dist(u, v) $\leq$ p in G. And the pebbling exponent of a graph G to be the least power of p such that the pebbling number of $G^p$ is equal to the number of vertices of G. We compute the pebbling number of fourth power of paths so that the pebbling exponents of some paths are calculated.

교란들의 인과관계구현 데이터구조에 기초한 발전소의 고장감시 및 고장진단에 관한 연구 (Power Plant Fault Monitoring and Diagnosis based on Disturbance Interrelation Analysis Graph)

  • 이승철;이순교
    • 대한전기학회논문지:시스템및제어부문D
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    • 제51권9호
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    • pp.413-422
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    • 2002
  • In a power plant, disturbance detection and diagnosis are massive and complex problems. Once a disturbance occurs, it can be either persistent, self cleared, cleared by the automatic controllers or propagated into another disturbance until it subsides in a new equilibrium or a stable state. In addition to the Physical complexity of the power plant structure itself, these dynamic behaviors of the disturbances further complicate the fault monitoring and diagnosis tasks. A data structure called a disturbance interrelation analysis graph(DIAG) is proposed in this paper, trying to capture, organize and better utilize the vast and interrelated knowledge required for power plant disturbance detection and diagnosis. The DIAG is a multi-layer directed AND/OR graph composed of 4 layers. Each layer includes vertices that represent components, disturbances, conditions and sensors respectively With the implementation of the DIAG, disturbances and their relationships can be conveniently represented and traced with modularized operations. All the cascaded disturbances following an initial triggering disturbance can be diagnosed in the context of that initial disturbance instead of diagnosing each of them as an individual disturbance. DIAG is applied to a typical cooling water system of a thermal power plant and its effectiveness is also demonstrated.

비례전자 감압밸브의 모델링과 제어 (A Modeling of Proportional Pressure Control Valve and its Control)

  • 양경욱;이일영
    • 동력기계공학회지
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    • 제6권3호
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    • pp.71-77
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    • 2002
  • In this study, a dynamic model of proportional pressure control valve using the bond graph and a predictive controller are presented in the form of dynamic matrix control which is concerned with a design method of digital controller for the electro hydraulic servo system. The bond graph can be utilized for all types of systems which involve power and energy, and it is applied to a propotional pressure control valve in this study. Recently, many researchers suggested that better control performance could be obtained by means of the predictive controls with future reference input, future control output and future control error. The Predictive controller is very practical because the controller can be easily applicable to a personal computer or a microprocessor. This study investigates through numerical simulations that hydraulic system with the predictive controller shows very good control performances.

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Modulation Recognition of BPSK/QPSK Signals based on Features in the Graph Domain

  • Yang, Li;Hu, Guobing;Xu, Xiaoyang;Zhao, Pinjiao
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제16권11호
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    • pp.3761-3779
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    • 2022
  • The performance of existing recognition algorithms for binary phase shift keying (BPSK) and quadrature phase shift keying (QPSK) signals degrade under conditions of low signal-to-noise ratios (SNR). Hence, a novel recognition algorithm based on features in the graph domain is proposed in this study. First, the power spectrum of the squared candidate signal is truncated by a rectangular window. Thereafter, the graph representation of the truncated spectrum is obtained via normalization, quantization, and edge construction. Based on the analysis of the connectivity difference of the graphs under different hypotheses, the sum of degree (SD) of the graphs is utilized as a discriminate feature to classify BPSK and QPSK signals. Moreover, we prove that the SD is a Schur-concave function with respect to the probability vector of the vertices (PVV). Extensive simulations confirm the effectiveness of the proposed algorithm, and its superiority to the listed model-driven-based (MDB) algorithms in terms of recognition performance under low SNRs and computational complexity. As it is confirmed that the proposed method reduces the computational complexity of existing graph-based algorithms, it can be applied in modulation recognition of radar or communication signals in real-time processing, and does not require any prior knowledge about the training sets, channel coefficients, or noise power.