• Title/Summary/Keyword: Mapping Theory

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A Study on the Operating-Mode Characteristics of Two-Module Thyristor Controlled Series Compensator (Two-Module TCSC의 운전모드 특성 연구)

  • Jeong, Gyo-Beom
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.11
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    • pp.1410-1416
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    • 1999
  • This paper aims at investigating the operating-mode characteristics of two-module Thyristor Controlled Series Compensator (TCSC) as an equivalent of the multi-module TCSC in a simple three-phase power transmission system. The load flow program is developed to analyze the steady-state characteristics of two-module TCSC system and to find the thyristor firing angles for the required real power flow. The stability calculation program is developed with Poincare mapping theory. Simulation studies of the TCSC power transmission system using EMTP are performed to evaluate the transient characteristics of two-module TCSC as a real power flow controller and to rpove the results of the load flow calculation and the stability analysis. In the process of the study, the operating-mode characteristics of two-module TCSC are evaluated and compared to those of single-module TCSC.

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Stability of the Robot Compliant Motion Control, Part 1 : Theory (로보트의 Compliance 제어에서의 안정성:이론)

  • Sung-Kwun Kim
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.38 no.11
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    • pp.941-949
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    • 1989
  • This two-part paper presents a control method that allows for stable interaction of a robot manipulator with environment. In part 1, we focus on the input output relationships (unstructured modeling) of the robot and environment dynamics. This analysis leads to a general condition for stability of the robot and environment taken as a whole. This stability condition, for stable maneuver, prescribes a finite sensitivity for robot and environment where sensitivity of the robot (or the environment) is defined as a mapping forces into displacement. According to this stability condition, smaller sensitivity either in robot or in environment leads to narrower stability range. In the limit, when both systems have zero sensitivity, stability cannot be guaranteed. These models do not have any particular structure, yet they can model a wide variety of industrial and research robot manipulators and environment dynamic behavior. Although this approach of modeling may not lead to and design procedure, it will allow us to understand the fundamental issues in stability when a robot interacts with an environment.

A Study on Dynamic Modeling of Photovoltaic Power Generator Systems using Probability and Statistics Theories (확률 및 통계이론 기반 태양광 발전 시스템의 동적 모델링에 관한 연구)

  • Cho, Hyun-Cheol
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.61 no.7
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    • pp.1007-1013
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    • 2012
  • Modeling of photovoltaic power systems is significant to analytically predict its dynamics in practical applications. This paper presents a novel modeling algorithm of such system by using probability and statistic theories. We first establish a linear model basically composed of Fourier parameter sets for mapping the input/output variable of photovoltaic systems. The proposed model includes solar irradiation and ambient temperature of photovoltaic modules as an input vector and the inverter power output is estimated sequentially. We deal with these measurements as random variables and derive a parameter learning algorithm of the model in terms of statistics. Our learning algorithm requires computation of an expectation and joint expectation against solar irradiation and ambient temperature, which are analytically solved from the integral calculus. For testing the proposed modeling algorithm, we utilize realistic measurement data sets obtained from the Seokwang Solar power plant in Youngcheon, Korea. We demonstrate reliability and superiority of the proposed photovoltaic system model by observing error signals between a practical system output and its estimation.

Numerical modeling and simulation technique in time-domain for multibeam echo sounder

  • Jung, Donghwan;Kim, Jeasoo;Byun, Gihoon
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.10 no.2
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    • pp.225-234
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    • 2018
  • A Multibeam Echo Sounder (MBES) is commonly used for rapid seafloor mapping. We herein present a time-domain integrated system simulation technique for MBES development. The Modeling and Simulation (M&S) modules consist of four parts: sensor array signal transmission, propagation and backscattering modeling in the ocean environment, beamforming of the received signals, and image processing. Also, the simulation employs a ray-theory-based algorithm to correct the reconstructed bathymetry, which has errors due to the refraction caused by the vertical sound velocity profile. The developed M&S technique enables design parameter verification and system parameter optimization for MBES. The framework of this technique can also be potentially used to characterize the seabed properties. Finally, typical seafloor images are presented and discussed.

Effect of stacking sequence on thermal stresses in laminated plates with a quasi-square cutout using the complex variable method

  • Chaleshtari, Mohammad H. Bayati;Khoramishad, Hadi
    • Structural Engineering and Mechanics
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    • v.77 no.2
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    • pp.245-259
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    • 2021
  • In this research, the influence of the laminate stacking sequence on thermal stress distribution in symmetric composite plates with a quasi-square cutout subjected to uniform heat flux is examined analytically using the complex variable technique. The analytical solution is obtained based on the thermo-elastic theory and the Lekhnitskii's method. Furthermore, by employing a suitable mapping function, the solution of symmetric laminates containing a circular cutout is extended to the quasi-square cutout. The effect of important parameters including the stacking sequence of laminates, the angular position, the bluntness, the aspect ratio of cutout, the flux angle and the composite material are examined on the thermal stress distribution. It is found out that the circular shape for cutout may not necessarily be the optimum geometry for all stacking sequences. The finite element analysis results are used to validate the analytical solution.

COMMON FIXED POINT THEOREMS FOR COMPLEX-VALUED MAPPINGS WITH APPLICATIONS

  • Maldar, Samet;Atalan, Yunus
    • Korean Journal of Mathematics
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    • v.30 no.2
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    • pp.205-229
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    • 2022
  • The aim of this paper is to obtain some results which belong to fixed point theory such as strong convergence, rate of convergence, stability, and data dependence by using the new Jungck-type iteration method for a mapping defined in complex-valued Banach spaces. In addition, some of these results are supported by nontrivial numerical examples. Finally, it is shown that the sequence obtained from the new iteration method converges to the solution of the functional integral equation in complex-valued Banach spaces. The results obtained in this paper may be interpreted as a generalization and improvement of the previously known results.

Evaluation Subgroups of Mapping Spaces over Grassmann Manifolds

  • Abdelhadi Zaim
    • Kyungpook Mathematical Journal
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    • v.63 no.1
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    • pp.131-139
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    • 2023
  • Let Vk,n (ℂ) denote the complex Steifel and Grk,n (ℂ) the Grassmann manifolds for 1 ≤ k < n. In this paper, we compute, in terms of the Sullivan minimal models, the evaluation subgroups and, more generally, the relative evaluation subgroups of the fibration p : Vk,k+n (ℂ) → Grk,k+n (ℂ). In particular, we prove that G* (Grk,k+n (ℂ), Vk,k+n (ℂ) ; p) is isomorphic to Grel* (Grk,k+n (ℂ), Vk,k+n (ℂ) ; p) ⊕ G* (Vk,k+n (ℂ)).

Investigation of random fatigue life prediction based on artificial neural network

  • Jie Xu;Chongyang Liu;Xingzhi Huang;Yaolei Zhang;Haibo Zhou;Hehuan Lian
    • Steel and Composite Structures
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    • v.46 no.3
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    • pp.435-449
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    • 2023
  • Time domain method and frequency domain method are commonly used in the current fatigue life calculation theory. The time domain method has complicated procedures and needs a large amount of calculation, while the frequency domain method has poor applicability to different materials and different spectrum, and improper selection of spectrum model will lead to large errors. Considering that artificial neural network has strong ability of nonlinear mapping and generalization, this paper applied this technique to random fatigue life prediction, and the effect of average stress was taken into account, thereby achieving more accurate prediction result of random fatigue life.

The acupuncture mechanism related brain in Medline and the journal of Korean acupuncture & moxibustion (PubMed와 대한침구학회지(大韓針灸學會誌) 논문(論文) 검색(檢索)을 통(通)한 침요법(鍼療法)과 뇌(腦)와의 관계(關係)에 대한 연구동향(硏究動向) 고찰(考察))

  • Kim, Hoo-Dong;Koh, Hyung-Kyun;Kim, Chang-Hwan
    • Journal of Acupuncture Research
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    • v.18 no.4
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    • pp.188-200
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    • 2001
  • Background and Objetive : Acupuncture is a valuable method of oriental medicine with broad application in many disease. It is based on the experiences of traditional oriental medicine as well as on experimentally proven biological (biochemical and neurophysiological) effects. Acupuncture theory has been explained by the meridian system that is thought to be linked with particular organs. However, in western medicine it is held that many disorders are either controlled or affected by the brain. Material and Method : In order to review the studies concerned with the mechanism related brain, we have referred to the Pubmed site and the Journal of Korean acupuncture and moxibustion Result and Conculsion : Among the 12 studies in the Journal of Korean acupuncture and moxibustion, 8 papers related neurotransmitters were done by experimental study, 4 papers related brain mapping were done by clinical study. Among the 8 studies related brain mapping in the Pubmed site, 6 clinical studies using functional magnetic resonance imaging(fMRI) were done and I clinical study using single-photon emission computed tomography(SPECT) was done, I paper was review article. By the above result, it would be needed further research on the acupuncture mechanism related brain using SPECT, fMRI, positron emission tomography(PET) etc.

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Behavior of Poisson Bracket Mapping Equation in Studying Excitation Energy Transfer Dynamics of Cryptophyte Phycocyanin 645 Complex

  • Lee, Weon-Gyu;Kelly, Aaron;Rhee, Young-Min
    • Bulletin of the Korean Chemical Society
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    • v.33 no.3
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    • pp.933-940
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    • 2012
  • Recently, it has been shown that quantum coherence appears in energy transfers of various photosynthetic lightharvesting complexes at from cryogenic to even room temperatures. Because the photosynthetic systems are inherently complex, these findings have subsequently interested many researchers in the field of both experiment and theory. From the theoretical part, simplified dynamics or semiclassical approaches have been widely used. In these approaches, the quantum-classical Liouville equation (QCLE) is the fundamental starting point. Toward the semiclassical scheme, approximations are needed to simplify the equations of motion of various degrees of freedom. Here, we have adopted the Poisson bracket mapping equation (PBME) as an approximate form of QCLE and applied it to find the time evolution of the excitation in a photosynthetic complex from marine algae. The benefit of using PBME is its similarity to conventional Hamiltonian dynamics. Through this, we confirmed the coherent population transfer behaviors in short time domain as previously reported with a more accurate but more time-consuming iterative linearized density matrix approach. However, we find that the site populations do not behave according to the Boltzmann law in the long time limit. We also test the effect of adding spurious high frequency vibrations to the spectral density of the bath, and find that their existence does not alter the dynamics to any significant extent as long as the associated reorganization energy is changed not too drastically. This suggests that adopting classical trajectory based ensembles in semiclassical simulations should not influence the coherence dynamics in any practical manner, even though the classical trajectories often yield spurious high frequency vibrational features in the spectral density.