• Title/Summary/Keyword: z-transform

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The Algorithm Development on Harmonic Analysis for Estimating the Quality of 1-Phase/3-Phase Power System (단상/삼상 계통 전력 품질 평가를 위한 고조파 분석 알고리즘 개발)

  • Jong-Su Lim;Taeck-Kie Lee
    • The Transactions of the Korean Institute of Power Electronics
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    • v.28 no.1
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    • pp.15-21
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    • 2023
  • With the development of technology, a new class of smaller and more sensitive electrical systems have emerged, requiring higher quality power system. Improving the quality of the power system requires removing harmonics as much as possible to ensure better efficiency. We should first collect information on what harmonic frequencies are included in the current power system to remove the harmonics. In this paper, a new frequency analysis algorithm is introduced for a three-phase and a 1-phase power system. MTE PRS 600.3 is used to generate any harmonics to ensure that the algorithm performs well. Typing any harmonics on the Windows GUI program shows the analyzed result from the board developed for the algorithm.

INVERSE HEAT CONDUCTION PROBLEM IN A THIN CIRCULAR PLATE AND ITS THERMAL DEFLECTION

  • Tikhe, A.K.;Deshmukh, K.C.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.9 no.2
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    • pp.75-82
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    • 2005
  • An inverse problem of transient heat conduction in a thin finite circular plate with the given temperature distribution on the interior surface of a thin circular plate being a function of both time and position has been solved with the help of integral transform technique and also determine the thermal deflection on the outer curved surface of a thin circular plate defined as $0\;{\leq}\;r\;{\leq}\;a,\;0\;{\leq}\;z\;{\leq}\;h$. The results, obtained in the series form in terms of Bessel's functions, are illustrated numerically.

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Digital Simulation of Linear systems with Bandlimited Random Inputs (제한 대역 랜덤 입력을 가진 선형 시스템의 디지털 시뮬레이션)

  • 김영균
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.19 no.3
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    • pp.1-4
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    • 1982
  • The purpose of this paper is to find and compare efficient and "statistically accurate" algorithms for linear systems with bandlimited random inputs. Using the previously investigated truncated expansions[2], a new state-transition algorithm is derived. With statistical error criteria (mean-square error), comparative study on the Performances has been done for the first and second-order linear system models. The results show that a new bandlimited state-transition algorithm works better than any commonly used algorithms (e. g., first-order state-transition method or Z-transform method).

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A Study on Design of Active Filters Using Switched Capacitors (Switched Capacitor를 사용한 능동 여파기 설계에 관한 연구)

  • 이문수;김상호
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.4 no.1
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    • pp.25-31
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    • 1979
  • All the resitors in the active RC filter networks can be relplaced by the switched capacitors. Therefore, An SC filter circuit can be fully integrated using MOS technology. A switched capacitor is much better than a resistor in temperature and linearity characteristics, and the former can be fabricated on the much smaller area then the latter. In this paper, It is given the generalized disign method of the active SC filter from the active RC filter using Bilinear Z-transformation. By SC filtering Techniques using Bilinear Z-transform, It enalbes us to realize the FDNR and Gyrator filters, which could not be realized in the exsisting designs, and it permits the processing of signals at much higher frequenies that many previous designs do. Experiments show that the response of the SC active filter is similiar to that of its prototype active RC filter.

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The Frequency Range Improvement and Realization of SC Circuits for the Wien-bridge Oscillator (Wien-Bridge발진기에 대한 주파수대역 개선과 SC회로 실현)

  • 신규재;이종연;김동용
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.12 no.6
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    • pp.554-562
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    • 1987
  • In this paper, we have proposed the RC Wien-Bridge oscillator consisting of three oprational amplifiers in order to improve the frequency range, and the proposed oscillator has been realized a new SC Wien-Bridge oscillator for LSI realization by the forward Z transform method. The realized SC oscilltor has been affirmed that the frequency range has been improved more than Reddy's. Budak and Nay's by the analysis of pole loci as a frequency function f. Also, it has been confirmed that the designed SC oscillator has been satisfied substantially the oscillated condition by the open-loop measurements.

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True Three-Dimensional Cone-Beam Reconstruction (TTCR) Algorithm - Transform Method from Parallel-beam (TTR) Algorithm - (원추형 주사 방식의 3차원 영상 재구성(TTCR) 알고리즘 - 평행주사 방식(TTR) 알고리즘의 좌표변환 -)

  • Lee, S.Z.;Ra, J.B.;Cho, Z.H.
    • Proceedings of the KOSOMBE Conference
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    • v.1989 no.05
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    • pp.55-59
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    • 1989
  • A true three-dimensional cone-beam reconstruction (TTCR) algorithm for the complete sphere geometry is derived, which is applicable to the direct volume image reconstruction from 2-D cone-beam projections. The algorithm is based on the modified filtered backprojection technique which uses a set of 2-D space-invariant filters and is derived from the previously developed parallel-beam true three-dimensional reconstruction(TTR) algorithm. The proposed algorithm proved to be superior in spatial resolution compared with the parallel-beam TTR algorithm.

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Coefficient Inequality for Transforms of Starlike and Convex Functions with Respect to Symmetric Points

  • KRISHNA, DEEKONDA VAMSHEE;VENKATESWARLU, BOLLINENI;RAMREDDY, THOUTREDDY
    • Kyungpook Mathematical Journal
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    • v.55 no.2
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    • pp.429-438
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    • 2015
  • The objective of this paper is to obtain sharp upper bound for the second Hankel functional associated with the $k^{th}$ root transform $[f(z^k)]^{\frac{1}{k}}$ of normalized analytic function f(z) when it belongs to the class of starlike and convex functions with respect to symmetric points, defined on the open unit disc in the complex plane, using Toeplitz determinants.

THERMAL STRESSES IN A SEMI-INFINITE SOLID CYLINDER SUBJECTED TO INTERNAL HEAT GENERATION

  • DESHMUKH, KISHOR CHINTANAMRAO;QUAZI, YUSUF IQBAL
    • Communications of the Korean Mathematical Society
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    • v.30 no.4
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    • pp.505-513
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    • 2015
  • The present paper deals with the determination of displacement and thermal stresses in a semi-infinite circular cylinder defined as $0{\leq}r{\leq}b$, $0{\leq}z<{\infty}$, due to internal heat generation within it. A circular cylinder is considered having arbitrary initial temperature and subjected to time dependent heat flux at the fixed circular boundary (r = b) whereas the zero temperature at the lower surface (z = 0) of the semi-infinite circular cylinder. The governing heat conduction equation has been solved by using integral transform method. The results are obtained in series form in terms of Bessel functions. The results for displacement and stresses have been computed numerically and illustrated graphically.

AREA DISTORTION UNDER MEROMORPHIC MAPPINGS WITH NONZERO POLE HAVING QUASICONFORMAL EXTENSION

  • Bhowmik, Bappaditya;Satpati, Goutam
    • Journal of the Korean Mathematical Society
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    • v.56 no.2
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    • pp.439-455
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    • 2019
  • Let ${\Sigma}_k(p)$ be the class of univalent meromorphic functions defined on the unit disc ${\mathbb{D}}$ with k-quasiconformal extension to the extended complex plane ${\hat{\mathbb{C}}}$, where $0{\leq}k<1$. Let ${\Sigma}^0_k(p)$ be the class of functions $f{\in}{\Sigma}_k(p)$ having expansion of the form $f(z)=1/(z-p)+{\sum_{n=1}^{\infty}}\;b_nz^n$ on ${\mathbb{D}}$. In this article, we obtain sharp area distortion and weighted area distortion inequalities for functions in ${\sum_{k}^{0}}(p)$. As a consequence of the obtained results, we present a sharp upper bound for the Hilbert transform of characteristic function of a Lebesgue measurable subset of ${\mathbb{D}}$.

Design of Linear, Exponential and Bell Type Discrete Filters for Acceleration and Deceleration of Servo Motors (서보모터의 가감속을 위한 직선형,지수형 및 벨형 이산필터 설계)

  • Shin, Dong-Soo;Chung, Sung-Chong
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.9
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    • pp.52-60
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    • 1997
  • This paper proposes the effective method of the software based motion control by using lenear, exponential and bell type discrete filters for acceleration and deceleration of servo motors. Recursive filters are designed in discrete time domain which can reduce computation time and vibration of motors due to load disturbance. Also it deals with the method which decides the time constants of filters when a machine tool is driven at rapid, cutting and jog feedrate. Validity of the proposed method is verified by corner cutting experiments.

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