• Title/Summary/Keyword: Left Eigenvector

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Direction Assignment of Left Eigenvector in Linear MIMO System (선형 다변수 입출력 시스템에서 좌 고유벡터의 방향 지정)

  • Kim, Sung-Hyun;Yang, Hyun-Seok
    • Journal of Institute of Control, Robotics and Systems
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    • v.14 no.3
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    • pp.226-231
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    • 2008
  • In this paper, we propose novel eigenstructure assignment method in full-state feedback for linear time-invariant MIMO system such that directions of some left eigenvectors are exactly assigned to the desired directions. It is required to consider the direction of left eigenvector in designing eigenstructure of closed-loop system, because the direction of left eigenvector has influence over excitation by associated input variables in time-domain response. Exact direction of a left eigenvector can be achieved by assigning proper right eigenvector set satisfying the conditions of the presented theorem based on Moore's theorem and the orthogonality of left and right eigenvector. The right eigenvector should reside in the subspace given by the desired eigenvalue, which restrict a number of designable left eigenvector. For the two cases in which desired eigenvalues are all real and contain complex number, design freedom of designable left eigenvector are given.

Improved Direct Method for Calculating the Closest Voltage Collapse Point and Voltage Stability Enhancement by Generation Redispatch (최단 전압붕괴점 계산을 위한 개선된 직접법과 재급전에 의한 전압안정도 향상)

  • Nam, Hae-Kon;Song, Chung-Gi;Kim, Dong-Jun
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.8
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    • pp.958-964
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    • 1999
  • The distance in load parameter space to the closest saddle node bifurcation (CSNB) point provides the worst case power margin to voltage instability and the left eigenvector at CSNB identifies the most effective direction to steer the system to maximize voltage stability under contingency. This paper presents an improved direct method for computing CSNB: the order of nonlinear systems equations is reduced to about twice of the size of load flow equations in contrast to about three-times in Dobson's direct method; the initial guess for the direct method is computed efficiently and robustly by combined use of continuation power flow, a pair of multiple load flow solution with Lagrange interpolation. It is also shown that voltage stability may be enhanced significantly with shift of generations in the direction of the left eigenvector at CSNB.

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Enhancement of Voltage Stability by Generation Redispatch (발전력 재분배에 의한 전압안정도 향상)

  • Nam, Hae-Kon;Song, Chung-Gi
    • Proceedings of the KIEE Conference
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    • 1997.11a
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    • pp.235-237
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    • 1997
  • The distance in load parameter space to the closest voltage collapse point (CSNB) provides the worst case power margin and the left eigenvector identifies the most effective direction to steer the system to maximize voltage stability under contingency. This paper proposes a new generation redispatch algorithm, which uses left eigenvector at CSNB to enhance the voltage stability. A Newton method is used to detect CSNB point. Proposed method is applicable to the selection of appropriate reactive power compensation and load shedding point detection. But this paper make a point of voltage stability enhancement only with generation redispatch. The proposed method has been tested for Klos Kerner 11-bus system.

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Robust Observer Design for Multi-Output Systems using Eigenstructure (고유구조를 이용한 다중출력 시스템의 강인한 관측기 설계)

  • 허건수;남준철
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2003.04a
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    • pp.39-44
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    • 2003
  • It was shown that the robustness of deterministic observers with respect to modeling errors, measurement bias and round-off errors can be represented by a single performance index the condition number of the observer eigenvector matrix. In this paper, a robust observer for multi-output systems is designed using the left eigenstructure assignment, where the observer gain can not be determined uniquely with respect to the desired observer poles. Utilizing the eigenstructuer assignment for the robustness of the observer, the desired eigenvector matrix is selected to achieve the observer eigenvector matrix with the small condition number. The performance of the designed robust observer is evaluated in a spindle-drive simulation example where the load speed to be estimated based on the measured signals.

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Robust Observer Design for Multi-Output Systems Using Eigenstructure Assignment (고유구조 지정을 이용한 다중출력 시스템의 강인한 관측기 설계)

  • Huh, Kun-Soo;Nam, Joon-Chul
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.11
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    • pp.1621-1628
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    • 2004
  • This paper proposes a design methodology for the robust observer using the eigenstructure assignment in multi-output systems so that the observer is less sensitive to the ill-conditioning factors such as unknown initial estimation error, modeling error and measurement bias in transient and steady-state observer performance. The robustness of the observer can be achieved by selecting the desired eigenvector matrix to have a small condition number that guarantees the small upper bound of the estimation error. So the left singular vectors of the unitary matrix spanned by space of the achievable eigenvectors are selected as a desired eigenvectors. Also, this paper proposes how to select the desired eigenvector based on the measure of observability and designs the observer with small gain. An example of a spindle drive system is simulated to validate the robustness to the ill-conditioning factors in the observer performance.

Design of PD Observers in Descriptor Linear Systems

  • Wu, Ai-Guo;Duan, Guang-Ren
    • International Journal of Control, Automation, and Systems
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    • v.5 no.1
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    • pp.93-98
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    • 2007
  • A class of new observers in descriptor linear systems, proportional-derivative(PD) observers, are proposed. A parametric design approach for such observers is proposed based on a complete parametric solution to the generalized Sylvester matrix equation. The approach provides complete parameterizations for all the observer gains, gives the parametric expression for the corresponding left eigenvector matrix of the observer system matrix, realizes elimination of impulsive behaviors, and guarantees the regularity of the observer system.

Optimal Weight Design of Rotor-Bearing Systems Considering Whirl Natural Frequency and Stability (선회 고유진동수와 안정성을 고려한 회전자-베어링 시스템의 중량 최적설계)

  • 이동수;손윤호;최동훈
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.3
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    • pp.639-646
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    • 1995
  • The objective of this study is to minimize the weight of a damped anisotropic roto-bearing system considering whirl natural frequency and stability. The system is modeled as an assemblage of rigid disks, flexible shafts and discrete bearings. The system design variables are the crosssectional areas of shaft elements and the properties of bearings. To analyze the system, the polynomial method which is derived by rearranging the calculations performed by a transfer matrix method is adopted. For the optimization, the optimization software IDOL (Integrated Design Optimization Library) which is based on the Augmented Lagrange Multiplier (ALM) method is employed. Also, an analytical design sensitivity analysis of the system is used for high accuracy and efficiency. To demonstrate the usefulness of the proposed optimal design program incorporating analysis, design sensitivity analysis, and optimization modules, a damped anisotropic rotor-bearing system is optimized to obtain 34$ weight reduction.

Comparative Performance Study of Various Algorithms Computing the Closest Voltage Collapse Point (최단 전압붕괴 임계점을 계산하는 알고리즘의 특성 비교)

  • Song, Chung-Gi;Nam, Hae-Kon
    • Proceedings of the KIEE Conference
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    • 1997.07c
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    • pp.1078-1082
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    • 1997
  • The distance in load parameter space to the closest voltage collapse point provides the worst case power margin and the left eigenvector identifies the most effective direction to steer the system to maximize voltage stability under contingency. This paper presents the results of the comparative performance study of the algorithms, which are applicable to a large scale power system, for computing the closest saddle node bifurcation (CSNB) point. Dobson's iterative method converges with robustness. However the slow process of updating the load increasing direction makes the algorithm less efficient. The direct method converges very quickly. But it diverges if the initial guess is not very close to CSNB. Zeng's method of estimating the approximate critical point in the pre-determined direction is attractive in the sense that it uses only using load flow equations. However, the method is found to be less efficient than Dobson's iterative method. It may be concluded from the above observation that the direct method with the initial values obtained by carrying out the iterative method twice is most efficient at this time and more efficient algorithms are needed for on-line application.

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Social Network Analysis(SNA)-Based Korean Film Producer-Director-Actor Network Analysis : Focusing on Films Released Between 2013 and 2019 (한국영화 제작자·감독·배우 네트워크 분석: 2013~2019년 개봉작 중심으로)

  • Cho, Hee-Young
    • Journal of Korea Entertainment Industry Association
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    • v.14 no.4
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    • pp.169-186
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    • 2020
  • This study selected 127 powerful Korean film producers, directors, and actors whose stable audience drawing power has been proven over the past seven years from 2013 to 2019, and viewed their network through social network analysis(SNA) to explain their power structure. It also explained the changes compared to the results of previous studies conducted on box office hits from 1998 to 2012. The producers who showed the highest audience drawing power over the past seven years were KANG Hae-jung, JANG Won-seok, LEE Eugene, HAN Jae-duk. BONG Joon-ho, KIM Yong-hwa, and RYOO Seung-wan as directors and SONG Kang-ho, HA Jung-woo, and HWANG Jung-min as actors were confirmed to exhibit the most stable audience drawing power. Meanwhile, the network formed by the 127 leading producers, filmmakers, and actors was analyzed based on closeness/ degree/eigenvector/betwenness centrality, and the result discovered a strong network involving JANG Won-seok, HAN Jae-duk, CHO Jin-woong, Don LEE, and HWANG Jung-min. This study is meaningful in that it included producers, the position which has never been discussed in previous local studies to analyze the network influencing star casting, and selected accurate box office hits by checking whether the concerned films actually reached break-even point rather than simply relying on the number of audiences or total revenue they garnered. Nonetheless, it left a hole to be filled in that it did not include the role of the management companies in the network. Therefore, a relevant follow-up discussion would be needed.