• Title/Summary/Keyword: equality condition

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Topological Structural Optimization under Multiple-Loading Conditions (Multiple-loading condition을 고려한 구조체의 위상학적 최적화)

  • 박재형;홍순조;이리형
    • Computational Structural Engineering
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    • v.9 no.3
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    • pp.179-186
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    • 1996
  • A simple nonlinear programming(NLP) formulation for the optimal topology problem of structures is developed and examined. The NLP formulation is general, and can handle arbitrary objective functions and arbitrary stress, displacement constraints under multiple loading conditions. The formulation is based on simultaneous analysis and design approach to avoid stiffness matrix singularity resulting from zero sizing variables. By embedding the equilibrium equations as equality constraints in the nonlinear programming problem, we avoid constructing and factoring a system stiffness matrix, and hence avoid its singularity. The examples demonstrate that the formulation is effective for finding an optimal solution, and shown to be robust under a variety of constraints.

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Network analysis and fault decision using equality constraint condition (등호제약조건을 이용한 계통 해석 및 고장판단에 대한 연구)

  • Yang, Min-Uk;Kim, Kern-Joong;Hwang, In-Jun;Park, Jeong-Jin;Lee, Ju-Hun
    • Proceedings of the KIEE Conference
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    • 2008.11a
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    • pp.130-132
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    • 2008
  • 전력계통에서 사고는 커다란 물질적 피해를 야기하는 것으로 미연의 사고방지 및 예방이 필수적이다. 현재 전력계통 시스템은 대부분이 이중, 삼중의 보호 시스템과 후비 시스템 등을 갖추어 기계적인 고장이나 오작동으로 인한 사고를 최소화 하고 있다. 하지만 실제 계통을 감시하고 운영하는 운영자에게 잘못된 정보가 들어옴으로 인한, 잘못된 조작은 계통에서 정상적인 기기 제어에 해당되므로 잘못된 조작으로 정전 사고가 발생한다 하더라도 이를 막아줄 수 있는 대책이 없게 된다. 따라서 계통 정보의 무결성을 검사하고 계통에서 전달되는 데이터가 정상임을 확인하는 판단이 필요하게 되며 이를 통해 운영자에게 정확한 정보를 볼 수 있게 하기 위해 현재 상태를 확인하고 잘못된 정보가 들어온 것을 계통 상태를 통해 확인할 수 있는 알고리즘을 제시한다.

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RICCI CURVATURE OF SUBMANIFOLDS OF AN S-SPACE FORM

  • Kim, Jeong-Sik;Dwivedi, Mohit Kumar;Tripathi, Mukut Mani
    • Bulletin of the Korean Mathematical Society
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    • v.46 no.5
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    • pp.979-998
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    • 2009
  • Involving the Ricci curvature and the squared mean curvature, we obtain a basic inequality for a submanifold of an S-space form tangent to structure vector fields. Equality cases are also discussed. As applications we find corresponding results for almost semi-invariant submanifolds, $\theta$-slant submanifolds, anti-invariant submanifold and invariant submanifolds. A necessary and sufficient condition for a totally umbilical invariant submanifold of an S-space form to be Einstein is obtained. The inequalities for scalar curvature and a Riemannian invariant $\Theta_k$ of different kind of submanifolds of a S-space form $\tilde{M}(c)$ are obtained.

The performance evaluation of outdoor unit cooling system in a residential apartment complex (주상복합의 실외기 형태에 따른 냉방시스템 성능 평가)

  • Kyung, Seo-Kyung;Kim, Yun-Jin;Lim, Jung-Hee;Kim, Byung-Seon
    • 한국태양에너지학회:학술대회논문집
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    • 2008.11a
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    • pp.263-268
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    • 2008
  • In a residential complex case, the efficiency of land use are maximized, but a variation of external condition such as load in-equality, the increase in wind velocity and solar radiation by a height causes increasing energy in a building. Besides, because of increasing window size for a lighting and a view, it comes heating load in winter and cooling load in summer. A choice of cooling-system is important for this reason. Recently an internal high-rise residential complex installs an air-cooling system and operates individual heating. However, this study applies water-cooling used one public cooling-tower instead of an air-cooling system, also with an efficiency test of an air and a water-cooling system, consider an internal applicability.

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A Synthesis for Robust Servo System Based on Mixed $H_2/H_{\infty}$ Control

  • Park, Yeon-Wook;Lee, Kum-Won
    • 제어로봇시스템학회:학술대회논문집
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    • 1999.10a
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    • pp.88-91
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    • 1999
  • The purpose of this paper is to propose an approach to design a robust servo controller based on the Mixed H$_2$/H$\sub$$\infty$/ theory. In order to do this, we first modify the generalized plant for the usual H$\sub$$\infty$/ servo problem to a structure of the Mixed H$_2$/H$\sub$$\infty$/ minimization problem by virtue of the internal model principle. By doing this, we can divide specifications adopted for robust servo system design into H$_2$and H$\sub$$\infty$/ performance criteria, respectively. Then, the mixed H$_2$/H$\sub$$\infty$/ problem is solved in order to find the best solution, by which we can minimize H$_2$-norm of the transfer function under the condition of H$\sub$$\infty$/-norm value, through Linear Matrix Equality (LMI).

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A MATRIX INEQUALITY ON SCHUR COMPLEMENTS

  • YANG ZHONG-PENG;CAO CHONG-GUANG;ZHANG XIAN
    • Journal of applied mathematics & informatics
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    • v.18 no.1_2
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    • pp.321-328
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    • 2005
  • We investigate a matrix inequality on Schur complements defined by {1}-generalized inverses, and obtain simultaneously a necessary and sufficient condition under which the inequality turns into an equality. This extends two existing matrix inequalities on Schur complements defined respectively by inverses and Moore-Penrose generalized inverses (see Wang et al. [Lin. Alg. Appl., 302-303(1999)163-172] and Liu and Wang [Lin. Alg. Appl., 293(1999)233-241]). Moreover, the non-uniqueness of $\{1\}$-generalized inverses yields the complicatedness of the extension.

Optimum signal setting based on phase sequence and interval in an isolated intersection (교통신호의 페이스순서 및 페이스간격을 고려한 신호최적화)

  • 김경철;임강원
    • Journal of Korean Society of Transportation
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    • v.14 no.2
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    • pp.45-58
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    • 1996
  • In a large signal intersection, it is the most important to set phase sequences and phase intervals of traffic signal in order to improve the efficiency of the capacity as well as safety. These setting allows to select the best sequence of signal phase among several alternatives, and thus to rearrange the starting and ending points of the individual phase using an effective interphase periods (EIP). The EIP is a gap between previous and current traffic movements at a potential collision point in an intersection. Each of traffic movements has an equality for safety and efficiency at the balanced condition of EIP. This paper presents how to set optimally the phase sequences and intervals of traffic signal in an intersection using phase based approach. And in the second part, we applied the theory developed in the first part. In particular, a numerical example of phase base signal setting is presented using a matrix computation method in order to select the best sequence among several alternatives, and thus to rearrange the starting and ending points of the individual phase using the EIP. This method also allows to apply to optimum signal setting even in five-lag or staggered-type intersection.

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Effect of Airgap Length Difference on the Characteristics of the Double-Sided Linear Pulse Motor (공극 길이 차이가 양측식 리니어 펄스 모터의 특성에 미치는 영향)

  • 이동주;이은웅;김성현;손홍관;김성종
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.52 no.1
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    • pp.1-8
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    • 2003
  • Generally, thrust force of double-sided LPM is more powerful than that of single-sided LPM. Also, double-sided LMP can be effectively applied to the high-precision position system with its simple control scheme. However, An equality between two airgap lengths Is a necessary condition for its high performance. If a little difference between two airgaps is existed, unbalanced normal force and undesirable vibration will be generated. Additionally, even though two airgap lengths are absolutely same, undesirable vibration can be generated because the direction of instantaneous normal force on mover is changed according to excitation methods. An effect of inequality of two airgap lengths is presented in this paper. Distribution of airgap permeance vs. relative displacement is analyzed by two dimensional finite element method. Excitation From this results, current waveforms to reduce the undesirable vibration is proposed.

Calculation of Network Analysis and Fault Decision using Equality Constraint Condition with MATLAB (등호제약조건을 이용한 계통 해석 및 고장판단 계산 구현)

  • Yang, Min-Uk;Kim, Kern-Joong;Hwang, In-Jun
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.58 no.11
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    • pp.2101-2106
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    • 2009
  • The power system state estimation and prediction are very important for operation. Because that accidents of the Power system are the cause that many devices and etc are damaged. Currently, almost every power systems have 2nd,3rd back-upsystem for prevention of accident. But prevention of accident by miss-operation, due to operator or miss data, has not acounter plan. Because, we need to estimate the power system for correcting miss data and preventing miss operation by operator. We suggest algorithm for integrity of power system network data.

Regional Level of Inclusive Development

  • Shashyna, Maryna V.;Butko, Mykola P.;Tulchynska, Svitlana O.
    • International Journal of Computer Science & Network Security
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    • v.21 no.5
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    • pp.133-138
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    • 2021
  • The concept of inclusive development provides equal opportunities for all participants in access to the labor market and resource allocation. This concept emphasizes the equality of human capital, the ecological state of the environment, social protection and food security. This concept is fundamentally different from the standard perception of economic growth, because it has broader goals than simply increasing incomes and GDP. It rejects the position that positive results are an automatic consequence of growth; here the basic condition is human development and increase of its well-being, reduction of poverty. Therefore, it is not the result of distribution that becomes primary, but the involvement in the process of social reproduction. An alternative system of characterization of the country's position according to the resulting indicator of the Inclusive Development Index was presented at the World Economic Forum in Davos. In this research the methodical development of the system of estimation of the index of inclusive development for regions of the NUTS 4 level of the European classification is resulted.