• Title/Summary/Keyword: unit circle

Search Result 136, Processing Time 0.026 seconds

Small signal stability analysis of power systems with non-continuous operating elements by using RCF method : Modeling of the state transition equation (불연속 동작특성을 갖는 전력계통의 RCF법을 사용한 미소신호 안정도 해석 : 상태천이 방정식으로의 모델링)

  • Kim Deok Young
    • Proceedings of the KIEE Conference
    • /
    • summer
    • /
    • pp.342-344
    • /
    • 2004
  • In conventional small signal stability analysis, system is assumed to be invariant and the state space equations are used to calculate the eigenvalues of state matrix. However, when a system contains switching elements such as FACTS devices, it becomes non-continuous system. In this case, a mathematically rigorous approach to system small signal stability analysis is by means of eigenvalue analysis of the system periodic transition matrix based on discrete system analysis method. In this research, RCF(Resistive Companion Form) method is used to analyse small signal stability of a non-continuous system including switching elements'. Applying the RCF method to the differential and integral equations of power system, generator, controllers and FACTS devices including switching elements should be modeled in the form of state transition matrix. From this state transition matrix eigenvalues which are mapped to unit circle can be calculated.

  • PDF

Hyperstable Adaptive Recursive Filter with an Adaptive Compensator (適應 補償器를 채용한 超安定性 適應 循環 필터)

  • Yoon, Byung-Woo;Shin, Yoon-Ki
    • Journal of the Korean Institute of Telematics and Electronics
    • /
    • v.27 no.3
    • /
    • pp.145-155
    • /
    • 1990
  • In this paper, an adaptive Infinite Impulse Response (IIR) filter algorithm using output error method, which prevents poles of a system transfer function from being out of unit circle, is proposed, and it is proved that the proposed algorithm always satisfies hyperstability. The proposed algorithm is applied to an Adaptive Noise Canceller (ANC), and compared with a Least Square (LS) method adaptive IIR filter algorithm and an adaptive Finite Inpulse Response (FIR) filter algorithm. As a result, the validity of the proposed algorithm is proved.

  • PDF

An Adaptive Line Enhancer Using Lattice Notch Filters (격자형 노치 필터를 이용한 정현파 검출기)

  • 조남익;최종호;이상욱
    • Journal of the Korean Institute of Telematics and Electronics
    • /
    • v.24 no.4
    • /
    • pp.719-726
    • /
    • 1987
  • In this paper, an adaptive IIR (infinite impulse response) notch filter of lattice type is constructed and its adaptation algorithm is proposed for the detection and retrieval of a sine wave signal embedded in noise. A modified method which adapts only one coefficient of the filter is also suggested. All these methods adapt the coefficients while keepting the poles of the filter inside the unit circle on z-plane, and thus they satisfy the condition on the stability of the IIR filter after it has converged. To investigate the convergence characteristics of these methods such as convergence speed and output S/N ratio, intensive computer simulation has been performed by varying the frequency of the sine wave and the input S/N ratio. And the results of the simulation have been compared to those of Rao and Kung's which shows relatively fast convergence speed. The methods proposed here, especially the second one. shows faster convergence speed and higher output S/N ratio than the Rao and Kung's.

  • PDF

Using an educational software Graphers in elementary school mathematics (초등 수학 수업에서의 소프트웨어(Graphers) 활용)

  • 황혜정
    • School Mathematics
    • /
    • v.1 no.2
    • /
    • pp.555-569
    • /
    • 1999
  • The graph unit(chapter) is a good example of a topic in elementary school mathematics for which computer use can be incorporated as part of the instruction. Teaching graph can be facilitated by using the graphing utilities of computers, which make it possible to observe the property of many types of graphs. This study was concerned with utilizing an educational software Graphers as an instructional tool in teaching to help young students gain a better understanding of graph concepts. For this purpose, three types of instructional activities using Graphers were shown in the paper. Graphers is a data-gathering tool for creating pictorial data chosen from several data sets. They can represent their data on a table or with six types of graphs such as Pictograph, Bar Graph, Line Graph, Circle Graph, Grid Plot and Loops. They help students to select the graph(s) which are the most appropriate for the purpose of analyzing data while comparing various types of graphs. They also let them modify or change graphs, such as adding grid lines, changing the axis scale, or adding title and labels. Eventually, students have a chance to interpret graphs meaningfully and in their own way.

  • PDF

Stabilized Adaptive Fuzzy LMS Algorithms for Active Noise Control (능동소음제어를 위한 안정화된 퍼지 LMS 알고리즘)

  • Ahn, Dong-Jun;Baek, Kwang-Hyun;Nam, Hyun-Do
    • The Transactions of The Korean Institute of Electrical Engineers
    • /
    • v.60 no.1
    • /
    • pp.150-155
    • /
    • 2011
  • In an active noise control systems, an IIR filter may cause a problem in stability beacause of its poles. For IIR filter, its poles goes sometimes out of a unit circle in a z-plane in the transition state, where the adaptive algorithm converges to the optimum value, which causes the system to diverge. Fuzzy LMS algorithm has a better convergence property than conventional LMS algorithms, but is not applicable to IIR filter because of the reasons. Stabilized adaptive algorithm could be improves stability by moving the pole of IIR filer toward the origin forcibly in the transient state, and by introducing forgetting factor to maintain the optimum convergence when it reaches to the steady state. In this paper, We proposed stabilized adaptive fuzzy LMS algorithms with IIR filter structures, for single channel active noise control with ill conditioned signal case. Computer simulations were performed to show the effectiveness of a proposed algorithm.

STABLE ADAPTIVE IIR FILTERS FOR ACTIVE NOISE CONTROL (능동 소음제어를 위한 안정한 적응 IIR 필터)

  • Hong, Sun-Chul;Yang, Dong-Sung;Nam, Ill-Ryong;Nam, Hyun-Do
    • Proceedings of the KIEE Conference
    • /
    • 2000.07d
    • /
    • pp.3118-3120
    • /
    • 2000
  • In this paper. a stable IIR adaptive filter for active noise control is proposed. The IIR filter structure is more effective when acoustic feedback exists, in which case an order of a FIR filter must be very large if some of the poles of the ideal control filter are near the unit circle. But the IIR filter may have stability problems especially when the adaptive algorithm is not converged. A stabilizing procedure for IIR adaptive filter is presented in this paper, and computer simulation is performed to show the effectiveness of proposed schemes.

  • PDF

The Crystal and Molecular Structure of Carbutamide, ($C_11H_17N_3O_3S$) (Carbutamide ($C_11H_17N_3O_3S$)의 결정및 분자구조)

  • 구정회;조성일;연양희
    • YAKHAK HOEJI
    • /
    • v.26 no.1
    • /
    • pp.9-23
    • /
    • 1982
  • The structure of 1-butyl-3-sulfanyl urea, ($C_{11}H_{17}N_{3}O_{3}S$) carbutamide has been determined from 575 significant independent reflections collected on an automated four-circle diffractometer. The crystals are orthorhomic, space group, $P2_{1}2_{1}2_{1}$, Z=4, with unit cell dimensions a=9.257 (2), b=9.928 (2), c=15.287 (3)${\AA}$. The structure was solved by the direct methods and refined by least-squares procedure to a final R value of 0.062. Features of the structure include layers of molecules joined by N-H....O hydrogen bond distances ranging from 2.745 to 3.100${\AA}$ involved in a bifurcated hydrogen bond across two fold screw along a and b axes. The atoms forming the urea system are essentially planar.

  • PDF

A PARAMETRIC BOUNDARY OF A PERIOD-2 COMPONENT IN THE DEGREE-3 BIFURCATION SET

  • Kim, Young Ik
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.16 no.2
    • /
    • pp.43-57
    • /
    • 2003
  • The boundary of a typical period-2 component in the degree-3 bifurcation set is formulated by a parametrization of its image which is the unit circle under the multiplier map. Some properties on the geometry of the boundary are investigated including the root point, the cusp and the length as well as the area bounded by the boundary curve. The centroid of the area for the period-2 component was numerically found with high accuracy and compared with its center. An algorithm drawing the boundary curve with Mathematica codes is proposed and its implementation exhibits a good agreement with the analysis presented here.

  • PDF

The Crystal Structure of Tris(ethylenediamine)nickel(II)Chromate, $[Ni(C_2N_2H_8)_3]\cdotCrO_4$ ($[Ni(C_2N_2H_8)_3]\cdotCrO_4$의 결정구조)

  • Kim, Se-Hwan;Kim, Seung-Bin;Nam, Gung-Hae
    • Korean Journal of Crystallography
    • /
    • v.6 no.2
    • /
    • pp.75-79
    • /
    • 1995
  • The crystal structure of Tris(ethylenediamine)nickel(II)Chromate has been determined by X-ray crystallography. Crystal data : a=9.027(2)Å, c=9.751(5)Å이며, Z=2, V=687.9(2)Å3, Dc=1.714gcm-3, μ=21.635-1. The intensity were collected with Mo-Kα radiation (λ=0.7107Å) on an automatic four-circle diffractometer with a graphite monochromator. The structure was solved by Patterson method and refined by full matrix least-square methods using unit weights. The final R and S values were R=0.029, Rw=032, Rall=0.049 andS=0.018 for 342 observed reflections. The chromate ions are located at position of point of point symmetry 32 and their oxygens are sixfold disodered in an unusual way. Extensive strong hydrogen bonds between complex cations and chromatic anions are found in axial and equatorial directions.

  • PDF

Re-organization of Parametric epidermis (파라메트릭 표피 재 조직화)

  • Park, Jeong-Joo
    • Proceedings of the Korean Institute of Interior Design Conference
    • /
    • 2008.05a
    • /
    • pp.46-49
    • /
    • 2008
  • This research does Complexity form, Interior epidermis cell re-organization, Object discovery that have correct numerical value concept by purpose. Research applied by Grid re-organization in form generation, Parameter variation of cell unit (morphor, tweener), Symbol, pattern of variation, self-organization cell substitution order. Representation through 3d digital modeler of polygon, Nurbs and street-sheet program(x,y,z coordinates & Network way of points) etc. of main work. Investigator specified numbers of U profiles*30, V point-20 that is 600 Paramaters individual in volume, and define circle radius of lighting in object, Projection size variously and tried difference. Transposition cell to point and Heightened brightness of color using pointillism of painting. Led lighting cell object is expressed being decoded by digital code.

  • PDF