• Title/Summary/Keyword: ordinary state

Search Result 305, Processing Time 0.027 seconds

Existence of Solutions on a Semi-Infinite Interval for Ordinary Differential Equation with Nonlocal Boundary Conditions (비국소 경계 조건들을 가진 상미분 방정식들의 반무한 구간 상에서 근들의 존재성)

  • Do, Tae-Sug
    • Journal of the Korean Society of Industry Convergence
    • /
    • v.5 no.4
    • /
    • pp.309-312
    • /
    • 2002
  • Motivated by the problem of steady-state heat conduction in a rod whose heat flux at one end is determined by observation of the temperature and heat flux at some point ${\xi}$ in the interior of the rod, we consider the problem y"(x)=a(x, y(x))y(x) (0$${\lim_{x{\rightarrow}{\infty}}}y(x)=0,\;y^{\prime}(0)=g(y({\xi}),\;y^{\prime}({\xi}))$$ for some fixed ${\xi}{\in}(0,{\infty})$. We establish conditions guaranteeing existence and uniqueness for this problem on the semi-infinite interval [0,${\infty}$).

  • PDF

Application of Implicit Function Theorem to Existence of Solutions to Ordinary Differential Equations with Nonlocal Boundary Conditions, II (비국소 경계 조건들을 가진 상미분 방정식들의 근의 존재성에 음함수 정리들의 응용 II)

  • Do, Tae-Sug
    • Journal of the Korean Society of Industry Convergence
    • /
    • v.5 no.4
    • /
    • pp.303-307
    • /
    • 2002
  • We consider the problem y"=a(x,y)(y-b), (0$$y(0)=0,\;y^{\prime}(1)=g(y({\xi}),\;y^{\prime}({\xi})),\;{\xi}$$ fixed in (0,1). This is a model of steady-state heat conduction in a rod when the heat flux at the end x=1 is determined by observation of the temperature and heat flux at some interior point ${\xi}$. We establish conditions sufficient for existence, uniqueness, and positivity of solutions.

  • PDF

Analytical Analysis of PT Ferroresonance in the Transient-State (과도상태에서 PT 철공진의 해석적 분석)

  • Kang, Yong-Cheol;Lee, Byung-Eun;Zheng, Tai-Ying;Kim, Yeon-Hee
    • The Transactions of The Korean Institute of Electrical Engineers
    • /
    • v.59 no.5
    • /
    • pp.860-865
    • /
    • 2010
  • When a circuit breaker is opened, a large capacitance around the buses, the circuit breaker and the potential transformer (PT) might cause PT ferroresonance. During PT ferroresonance, the iron core repeats saturation and unsaturation even though the supplied voltage is a rated voltage. This paper describes an analytical analysis of PT ferroresonance in the transient-state. To analyze ferroresonance analytically, the iron core is modelled by a simplified two-segment core model in this paper. Thus, a nonlinear ordinary differential equation (ODE) for the flux linkage is changed into a linear ODE with constant coefficients, which enables an analytical analysis. In this simplified model, each state, which is either saturated or unsaturated state, corresponds to one of the three modes, i.e. overdamping, critical damping and underdamping. The flux linkage and the voltage in each state are obtained analytically by solving the linear ODE with constant coefficients. The proposed transient analysis is effective in the more understanding of ferroresonance and thus can be used to design a ferroresonance prevention or suppression circuit of a PT.

Observer for multiple serial sampling systems (다중시리얼 샘플링 계의 제어를 위한 관측기의 계발)

  • 최연옥
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 1991.10a
    • /
    • pp.305-310
    • /
    • 1991
  • In industrial multivariable plants, it is often the case that the plant outputs are detected in a similar components not simultaneously but serially. In this paper, the problem of estimating the state vector of the plant based on the data obtained from such a detecting scheme is considered, and a special type of observer (referred to as a "multiple serial-sampling" type observer) which renews its internal states whenever a new group of data is obtained is proposed. It is proved that such an observer can be constructed for almost every sampling period if the plant is observable as a continuous-time multivariable system, and that the poles of the closed-loop system using the serial-sampling type observer consist of the poles of the observer and those of the state feedback system. The behaviors of the observer and the closed-loop system are studied by simulation. The results of simulation indicate that a multiple serial-sampling type observer can estimate the state of the plant more accurately than the ordinary type observers and improve the closed-loop performance, especially, in the existence of dectecting noise.ing noise.

  • PDF

Simulation of Voltage and Current Distributions in Transmission Lines Using State Variables and Exponential Approximation

  • Dan-Klang, Panuwat;Leelarasmee, Ekachai
    • ETRI Journal
    • /
    • v.31 no.1
    • /
    • pp.42-50
    • /
    • 2009
  • A new method for simulating voltage and current distributions in transmission lines is described. It gives the time domain solution of the terminal voltage and current as well as their line distributions. This is achieved by treating voltage and current distributions as distributed state variables (DSVs) and turning the transmission line equation into an ordinary differential equation. Thus the transmission line is treated like other lumped dynamic components, such as capacitors. Using backward differentiation formulae for time discretization, the DSV transmission line component is converted to a simple time domain companion model, from which its local truncation error can be derived. As the voltage and current distributions get more complicated with time, a new piecewise exponential with controllable accuracy is invented. A segmentation algorithm is also devised so that the line is dynamically bisected to guarantee that the total piecewise exponential error is a small fraction of the local truncation error. Using this approach, the user can see the line voltage and current at any point and time freely without explicitly segmenting the line before starting the simulation.

  • PDF

Optimal control of serial-sampling system (시리얼 샘플링 시스템의 최적제어)

  • 최연욱
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 1990.10a
    • /
    • pp.544-549
    • /
    • 1990
  • In industrial multivariable plants, it is often the case that the plant outputs are detected not simultaneously but serially. In this paper, the problem of estimating the state vector of the plant based on the data obtained from such a detecting scheme is considered, and a special type of observer (referred to as a "serial-sampling' type observer) which renews its internal states whenever a new data is obtained is proposed. It is proved that such an observer can be constructed for almost every sampling period if the plant is observable as a continuous-time multivariable system, and that the poles of the closed-loop system using the serial-sampling type observer consist of the poles of the observer and those of the state feedback system. The behaviors of the observer and the closed-loop system are studied by simulation. The results of simulation indicate that a serial-sampling type observer can estimate the state of the plant more accurately than the ordinary type observers and improve the closed-loop performance.ance.

  • PDF

Inelastic Behavior of Continuous Precast Composite Slabs (연속 프리캐스트 합성바닥판의 비탄성 거동)

  • Shim Chang-Su;Chung Young Soo;Min Jin
    • Proceedings of the Korea Concrete Institute Conference
    • /
    • 2005.05a
    • /
    • pp.447-450
    • /
    • 2005
  • A prefabricated composite hollow slab with perforated I-beams was suggested for the replacement of deteriorated concrete decks or the construction of new composite bridges with long-span slabs. Composite slabs with embedded I-beams have considerably higher stiffness and strength. For the application of prefabricated composite slabs to bridges, joints between slabs should satisfy the requirements of the ultimate limit state and the serviceability limit state. In this paper, three types of the detail for loop joints were selected and their structural performance in terms of strength and crack control was investigated through static tests on continuous composite slabs. A main parameter was the detail of the joint, such as an ordinary loop joint and loop joint with additional reinforcements. Even though there was no connection of the steel beams at the joints, the loop joints showed good performance in terms of strength. In terms of crack control, the loop joint with additional reinforcements showed better performance. In ultimate limit state, the continuous composite slabs showed good moment redistribution and ductility.

  • PDF

Guest Editorial The Third Round of Migrant Incorporation in East Asia: An Introduction to the Special Issue on Friends and Foes of Multicultural East Asia

  • Asahina, Yuki;Higuchi, Naoto
    • Journal of Contemporary Eastern Asia
    • /
    • v.19 no.2
    • /
    • pp.1-19
    • /
    • 2020
  • Trends toward an influx of new migrants have been pronounced in East Asia through a development we call the third round of migrant incorporation. At the same time, other features of East Asian societies, such as strong levels of ethnic nationalism, have changed little, posing challenges to multiculturalism. In this introduction to this special issue, we review the latest research trends broadly concerning multiculturalism, migrant groups that have received little attention, racism and xenophobia. We first discuss the state of migrant incorporation in East Asia and the limits of multiculturalism in this region, where various features of the developmental state persist. We then introduce research on voices opposing multiculturalism in East Asia. This introduction highlights what is peculiar―and ordinary―about migrant incorporation and the associated challenges in East Asia.

Microblog User Geolocation by Extracting Local Words Based on Word Clustering and Wrapper Feature Selection

  • Tian, Hechan;Liu, Fenlin;Luo, Xiangyang;Zhang, Fan;Qiao, Yaqiong
    • KSII Transactions on Internet and Information Systems (TIIS)
    • /
    • v.14 no.10
    • /
    • pp.3972-3988
    • /
    • 2020
  • Existing methods always rely on statistical features to extract local words for microblog user geolocation. There are many non-local words in extracted words, which makes geolocation accuracy lower. Considering the statistical and semantic features of local words, this paper proposes a microblog user geolocation method by extracting local words based on word clustering and wrapper feature selection. First, ordinary words without positional indications are initially filtered based on statistical features. Second, a word clustering algorithm based on word vectors is proposed. The remaining semantically similar words are clustered together based on the distance of word vectors with semantic meanings. Next, a wrapper feature selection algorithm based on sequential backward subset search is proposed. The cluster subset with the best geolocation effect is selected. Words in selected cluster subset are extracted as local words. Finally, the Naive Bayes classifier is trained based on local words to geolocate the microblog user. The proposed method is validated based on two different types of microblog data - Twitter and Weibo. The results show that the proposed method outperforms existing two typical methods based on statistical features in terms of accuracy, precision, recall, and F1-score.

Cavitation in a Shaft-less Double Suction Centrifugal Miniature Pump

  • Zhuang, Baotang;Luo, Xianwu;Zhu, Lei;Wang, Xin;Xu, Hongyuan
    • International Journal of Fluid Machinery and Systems
    • /
    • v.4 no.1
    • /
    • pp.191-198
    • /
    • 2011
  • Based on the consideration that the cavitation would affect the operation stability of miniature pumps, the 3-D turbulent cavitating flow in a test pump was simulated by using a mixed cavitation model and k-${\omega}$ SST turbulence model. In order to investigate the influence of inlet geometry parameters on the cavitation performance of the miniature pump, two more impellers are designed for comparison. Based on the results, the following conclusions are drawn: 1) Cavitation performance of the double suction shaft-less miniature pump having different impeller is equivalent to the centrifugal pump having ordinary size, though the flow passage at impeller inlet is small; 2) The miniature pump having radial impeller can produce much higher pump head, but lower cavitation performance than that having the impeller based on the conventional design method; 3) It is believed that by applying the double suction design, the miniature pump achieved relatively uniform flow pattern upstream the impeller inlet, which is favorable for improving cavitation performance.