• Title/Summary/Keyword: State Transition Matrix

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A study on the Analysis of Dynamic Characteristic for Nonlinear Rotor-Housing Systems (비선형 로터-하우싱 시스템의 동특성 해석 연구)

  • Kim, G.G.;Lim, J.H.;Chung, I.S.
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.2
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    • pp.69-78
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    • 1995
  • Nonlinear analysis methods are developed which will enable the reliable prediction of the dynamic behavior of the space shuttle main engine(SSME) turbopumps in the presence of bearing clearances and other local nonlinearities. A computationally efficient convolution method, based on discretized Duhamel and transition matrix integral formulations, is developed for the transient analysis. In the formulation, the coupling forces due to the onlinearities are treated as external forces acting on the coupled subsystems. Iteration is utilized to determine their magnitudes at each time increament. The method is applied to a nonlinear generic model of the high pressure oxygen turthods, the convolution approach proved to be more accurate and highly more efficient. For determining the nonlinear, steady-state periodic responses, an incremental harmonic balance(IHB) method was also developed. The method was successfully used to determine dominantly harmonic and subharmonic(subsynchronous) responses of the HPOTP generic model with bearing clearances. A reduction method similar to the impedance formulation utilized with linear systems is used to reduce the housing-totor models to their coordinates at the bearing clearances.

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The Mathematical Analysis of an Extended Mark Flow Graph for Design of the Discrete-event Control System (이산시스템 설계를 위한 확장된 마크흐름선도의 수학적 해석)

  • 김희정;백형구;김종민;여정모
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2001.05a
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    • pp.692-695
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    • 2001
  • The EMFG(Extended Mark Flow Graph) is not only a powerful tool to. designing the discrete-event system conceptually or specifically but also a good representation tool for implementing the system directly. We present a transitions-firing process and automatic changes of the number of marks in each box as a firing determination algorithm with the incident matrix and the state transition equation. The convenient analysis and design of a system as well as Computer Aided Design is possible because the operations of an EMFG ran be represented in the mathematical analysis with ease.

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Small signal stability analysis using RCF method (RCF법을 사용한 미소신호 안정도 해석방법)

  • Kim, Deok-Young;Meliopoulos, A. P. Sakis
    • Proceedings of the KIEE Conference
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    • 2002.11b
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    • pp.94-97
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    • 2002
  • A new small signal stability analysis method for eigenvalue analysis is presented. The method is based on the computation of the transition matrix over a specified time interval that corresponds to one cycle operation of the system The method is applicable to any system with or without nonlinear elements. An applicable example of RCF method is presented and the eigenvalues are compared with those of the conventional state space method to show the exactness of the computed eigenvalues of the new method. Also, the variations of oscillation modes which were caused by the switching operation can be analyzed exactly using RCF method.

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THERMOMECHANICAL STUDY OF LASER TREATED NiTi DENTAL ARCH WIRE

  • Kim, Young-Kon;Park, Joon-B.;Lakes, R.S.;Andreasen, G.F.
    • Proceedings of the KOSOMBE Conference
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    • v.1989 no.05
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    • pp.9-12
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    • 1989
  • A preliminary study has been conducted to demonstrate the effect of laser heat treatment on Ni Ti alloy dental arch wires ($0.016"\;{\times}\;0.022"$ and $0.018"\;{\times}\;0.026"$, rectangular shape). Changes in mechanical and thermal properties and surface morphologies are investigated by using optical and scanning electron microscope (SEM), energy dispersive x-ray microprobe analysis(EDX), differential scanning calorimeter (DSC), and micro hardness tester. The results indicate that the laser can affect the thermal equilibrium state of the localized surface. Titanium rich surface film is formed by the laser treatment. The surface film and rapidly resolidified underlying structures show better chemical resistance than the matrix material. Phase transition temperatures which are related to shape recovery temperatures are changed after laser treatment. Hardness of resolidified area and heat affected zone are lower than before treatment.

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Design of Fuzzy Controller Considering Stability and Application to DC Moter Velocity Control (시스템의 안전성을 고려한 퍼지제어기의 설계법과 DC 서보모터 속도제어에의 응용)

  • Oh, Gil-Seung;Kang, Geun-Taek
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.29 no.4
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    • pp.286-291
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    • 1993
  • This paper presents a design method of fuzzy controller based on TSK fuzzy model. By using the proposed method, we can design fuzzy controller mathematically, which guarantees the stability of fuzzy system. We derived a theorem related to the stability of fuzzy system. In that theorem, we show that the fuzzy system has the same stable state transition matrix as we desire. The validity of the proposed method is shown through an experiment of DC motor velocity control.

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A Novel Algebraic Framework for Analyzing Finite Population DS/SS Slotted ALOHA Wireless Network Systems with Delay Capture

  • Kyeong, Mun-Geon
    • ETRI Journal
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    • v.18 no.3
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    • pp.127-145
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    • 1996
  • A new analytic framework based on a linear algebra approach is proposed for examining the performance of a direct sequence spread spectrum (DS/SS) slotted ALOHA wireless communication network systems with delay capture. The discrete-time Markov chain model has been introduced to account for the effect of randomized time of arrival (TOA) at the central receiver and determine the evolution of the finite population network performance in a single-hop environment. The proposed linear algebra approach applied to the given Markov problem requires only computing the eigenvector ${\prod}$ of the state transition matrix and then normalizing it to have the sum of its entries equal to 1. MATLAB computation results show that systems employing discrete TOA randomization and delay capture significantly improves throughput-delay performance and the employed analysis approach is quite easily and staightforwardly applicable to the current analysis problem.

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Comparison of Small Signal Stability Analysis Methods in Complex Systems with Switching Elements

  • Kim, Deok Young;Meliiopoulos, A.P.Sakis
    • KIEE International Transactions on Power Engineering
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    • v.4A no.2
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    • pp.79-83
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    • 2004
  • A new small signal stability analysis method for eigenvalue analysis is presented. This method utilizes the Resistive Companion Form (RCF) for the computation of the transition matrix over a specified time interval, which corresponds to a single cycle operation of the system. This method is applicable to any system, with or without switching element. An illustrative example of the method is presented and the eigenvalues are compared with those of the conventional state space method (analog) in order to demonstrate the accuracy of the proposed eigenvalue analysis method. Also, the variations of oscillation modes that are caused by the switching operation can be precisely analyzed using this method.

AN ANALYSIS FOR THE BIDIRECTIONAL QUEUEING NETWORK

  • Lim, Jong-Seul
    • Journal of applied mathematics & informatics
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    • v.9 no.1
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    • pp.349-357
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    • 2002
  • In this paper, we analyze queueing behaviors and investigate the possibilities of reducing and controlling shortages and oversupplies in the bidirectional queueing system which forms a negative queue by demand and a positive queue by supply. Interarrival times of units in the bidirectional queueing system investigated are exponetially distributed. Instant pairing off implies that queue can be either positive or negative, but not both at the same time. The results include a proof that sum of queue lengths is minimized if rates of demand and supply in each system are equal and optimum solutions for rates of supply which minimize the sum of queue lengths when rates of demand and sum of rates of supply are given. In addition, the relationship between the ordinary queueing system and the bidirectional queueing system is investigated.

Photochromic Polysiloxanes Substituted with 1,2-Bis(2-methyIbenzo[b]thiophene-3-yl)hexafluorocyclopentene

  • Shin, Hee-Won;Kim, Yong-Rok;Kim, Eun-Kyoung
    • Macromolecular Research
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    • v.13 no.4
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    • pp.321-326
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    • 2005
  • Photochromic diarylethene polymers (DPs) in which 1,2-bis(2-methylbenzo[b ]thiophene-3-yl)hexafluorocyclopentene (BTF6) were covalently grafted onto the polymer main chain as pendant photochromic units were newly synthesized and their photochromic properties were investigated using steady-state and picosecond timeresolved spectroscopies. Polysiloxanes substituted with BTF6 molecules were prepared by sol-gel process using a mixture of tetraethoxysilane (TEOS), a silylated BTF6, and an organically modified silane precursor in the presence of HCl. The polysiloxane film (DP1) prepared from $\omega-methoxy$ poly(ethylene glycol) 3-(triethoxysilyl) propylcarbainate (MPGSC) as the silane precursor showed a much lower glass transition temperature than that (DP2) from heptadecafluorodecyltrimethoxysilane (HDFTMS). The ring-closure quantum yields of DP1 and DP2 were determined to be 0.20 and 0.02, respectively. Such a large difference in the quantum yield was attributed to the polymer matrix environment of the free inner volume.

Hybrid Method to Compute the Cell Loss Probability in a Multiplexer with the Superposition of Heterogeneous ON/OFF Sources (이질적 ON/OFF 원을 입력으로 한 다중화 장치의 셀 손실률 계산을 위한 하이브리드 방법)

  • Hong, Jung-Sik;Kim, Sang-Baik
    • IE interfaces
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    • v.12 no.2
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    • pp.312-318
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    • 1999
  • This paper considers the cell loss probability(CLP) in a multiplexer with the superposition of heterogeneous ON/OFF sources. The input traffic is composed of k classes. Traffic of class i is the superposition of M_(i) ON/OFF sources. Recently, the method based on the Markov modulated deterministic process(MMDP) is presented. Basically, it is the discretized model of stochastic fluid flow process(SFFP) and gives the CLP very fast, but under-estimates the CLP especially when the value of estimated CLP is very low. This paper develops the discretized model of Markov modulated Poisson process(MMPP). It is a special type of switched batch Bernoulli process(SBBP). Combining the transition probability matrix of MMDP and SBBP according to the state which is characterized by the arrival rate, this paper presents hybrid algorithm. The hybrid algorithm gives better estimate of CLP than that of MMDP and faster than SBBP.

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