• Title/Summary/Keyword: 적분 변환

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SEM에 의한 전자파 펄스 반응의 해석

  • 이택경
    • The Proceeding of the Korean Institute of Electromagnetic Engineering and Science
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    • v.4 no.2
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    • pp.82-90
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    • 1993
  • 전자파에 의한 산란현상의 해석은 지금까지 주로 시간조화함수의 형태를 지닌 전원에 의한 정 상상태의 산란에 관하여 이루어졌다. 그러나 레이다나 피파괴 검사, 전송선로 점검 등의 응용에서는 주로 펄스형태의 전자파를 사용하며, 따라서 시간에 따라 변화하는 함수형태의 전원에 의한 전자파의 산란해 석이 중요한 문제로 등장하였다. 또한 통신선로에서 외부의 잡음에 대한 혼신 등을 해석하거나, 낙뢰가 송 전선로에 미치는 영향을 해석하는 데에도 펄스신호의 산란해석이 필수적이다. 일반적인 함수의 형태를 지닌 전원에 의한 산란현상을 해석하기 위해서는 전원함수를 Fourier 변환하 여 주파수 영역의 스펙트럼을 구하고, 주파수영역에서의 산란해를 이용하여 Fourier 역변환을 하여 시간 영역의 해를 구할 수 있다. 주파수 영역에서의 산란판의 해를 Fourier 역변환 하기 위해서는 적분을 행하여야 하며, 일반적으로 적분과정에서 매우 복잡한 계산이 필요하고, 산란체의 구조가 복잡하여 해석 적인 해를 구할수 없는 경우에는 해석적으로 시간영역의 해를 구하는 것이 불가능하다. 시변 함수에 의 한 산란파를 구하기 위한 수치해석적 방법으로는 모멘트방법이나 유한요소법(Finite Element Method), 경계요소법(Boundary Element Method), 유한차분법(Finite Difference Method)등이 있으며, 해석적 해 를구할 수 없는 경우에 적용할 수 있는 반면에 많은 계산량이 요구된다.

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Verification on the Calculated Geoelectric Field on Power Grid during Geomagnetic Disturbances (지자기 교란으로 인한 전력망 유도전기장 예상값 검증)

  • Park, Sung Won;Yoo, Chung-Hyun
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.26 no.1
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    • pp.94-100
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    • 2015
  • Coronal mass ejection (CME) released due to solar flare explosion cause geomagnetic disturbance. The induced current by massive geomagnetic disturbance can cause damage to the transformer. The calculated geoelectric field is a major parameter of the geomagnetically induced current (GIC). The method applying a Fourier transform has a high accuracy but it needs all data measured for 24 hours. And the other method applying a integral equation can calculate in real time but it requires to check an accuracy. To reduce the gap between the calculated results of two methods, it adjusts the integration section. As a result, the correlation between two calculated geoelectric fields is high, and the event time and direction of the calculated current is the same as that of the measured current, and it's accuracy rate is above 92 percent.

Three Dimensional Calculation of Capacitance for VLSI Interconnection Line (VLSI 전송선로에서의 커패시턴스의 3차원 계산)

  • 김한구;곽계달
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.29A no.7
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    • pp.64-72
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    • 1992
  • The capacitance for three-dimensional (3D) VLSI interconnection line is calculated. Capacitance is obtained by solving integral equation that is the product of Green's function and surface charge density. Surface charge density is assumed that constant in each subarea, and subarea is devided by rectangular size in interconnetion surfaces. Up to date, so this integral method using Green's function is calculated by Fourier integral transformation, that it cannot help making an error. In this paper, it is proposed to use direct integration instead of Fourier integral method. And we proved accuracy of this paper in comparision with conventional results.

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Radiation Impedance and Directional characteristics of Piezoelectric Cylinder Transducer for Various Mechanical Boundary Conditions. (기계적 경계조건에 대한 원통형 압전 변환기의 방사임피던스 및 지향특성변화)

  • 윤종락
    • Proceedings of the Acoustical Society of Korea Conference
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    • 1992.06a
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    • pp.91-95
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    • 1992
  • 개영역(open boundary) 내의 변환기에 대한 음장 특성은 경계 조건이 좌표계와 정합되는 특수한 경우 헤름홀쯔 방정식풀이로 그렇지 않은 복잡한 형태의 음장에 대해서는 경계적분법이나 근사해법으로 얻어진다. 그러나 최근 이러한 문제들은 발달된 컴퓨터의 계산능력으로 유한요소법이나 경계요소법을 이용한 수치해법으로 해결되고 있다. 본 연구에서는 경계조건 변화에 따른 원통형 압전변환기의 방사임피던스 및 지향특성을 유한요소법 및 하이브리드형 무한요소법을 이용하여 구하고 기존의 해석적 결과와 비교하여 수중용 변환기 제작의 설계에 대한 기초자료를 제공하고자 한다.

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A Capacitance Deviation-to-Time Interval Converter Based on Ramp-Integration and Its Application to a Digital Humidity Controller (램프-적분을 이용한 용량치-시간차 변환기 및 디지털 습도 조절기에의 응용)

  • Park, Ji-Mann;Chung, Won-Sup
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.37 no.12
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    • pp.70-78
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    • 2000
  • A novel capacitance deviation-to-time interval converter based on ramp-integration is presented. It consists of two current mirrors, two schmitt triggers, and control digital circuits by the upper and lower sides, symmetrically. Total circuit has been with discrete components. The results show that the proposed converter has a linearity error of less than 1% at the time interval(pulse width) over a capacitance deviation from 295 pF to 375 pF. A capacitance deviation of 40pF and time interval of 0.2 ms was measured for sensor capacitance of 335 pF. Therefore, the high-resolution can be known by counting the fast and stable clock pulses gated into a counter for time interval. The application of a novel capacitance deviation-to time interval converter to a digital humidity controller is also presented. The presented circuit is insensitive to the capacitance difference in disregard of voltage source or temperature deviation. Besides the accuracy, it features the small MOS device count integrable onto a small chip area. The circuit is thus particularly suitable for the on-chip interface.

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Identification of Time-invariant Parameters of Distributed Systems via Extended Block Pulse Operational Matrices (확장된 블록 펄스 연산 행렬을 이용한 분포정수계의 시불변 파라미터 추정)

  • Kim, Tae-Hoon;Lee, Seung;Kim, Jong-Boo
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.15 no.6
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    • pp.82-88
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    • 2001
  • This paper considers the problem of the identification of the time invariant parameters of distributed systems. In general, the parameters are identified by using the CBPOM(Conventional Block Pulse Operational Matrices), but in this paper, the parameters ard identified by using the EBPOMS(Extended Block Pulse Operational Matrices) which can reduce the burden of operation md the volume of error caused by matrices multiplication. The simulation cloves the effectiveness of the proposed method.

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Fourier Transformations (TEM 관련 이론해설 (2): Fourier 변환)

  • Lee, Hwack-Joo
    • Applied Microscopy
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    • v.32 no.3
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    • pp.195-204
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    • 2002
  • In this review, the fundamental concepts of delta function, convolution integral and Fourier transformation are discussed. The applications of Fourier transformation to slit function, two very narrow slits, two slits of appreciable width, periodic array of narrow slits, arbitary periodic function, diffraction gratings and gaussian functions are also introduced.

Analytical Evaluation of the Surface Integral in the Singularity Methods (특이점분포법의 표면적분항의 해석적 계산)

  • Jung-Chun Suh
    • Journal of the Society of Naval Architects of Korea
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    • v.29 no.1
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    • pp.14-28
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    • 1992
  • For a planar curve-sided paned with constant or linear density distributions of source or doublet in the singularity methods, Cantaloube and Rehbach(1986) show that the surface integral can be transformed into contour integral by using Stokes' formulas. As an extension of their formulations, this paper deals with a planar polygonal panel for which we derive the closed-forms of the potentials and the velocities induced by the singularity distributions. Test calculations show that the analytical evaluation of the closed-forms is superior to numerical integration(suggested by Cantaloube and Rehbach) of the contour integral. The compact and explicit expressions may produce accurate values of matrix elements of simultaneous linear equations in the singularity methods with much reduced computer tiome.

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Low Power Discrete-Time Incremental Delta Sigma ADC with Passive Integrator (수동형 적분기(Passive Integrator)를 이용한 저전력 이산시간 Incremental Delta Sigma ADC)

  • Oh, Goonseok;Kim, Jintae
    • Journal of the Institute of Electronics and Information Engineers
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    • v.54 no.1
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    • pp.26-32
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    • 2017
  • This paper presents a low power and high resolution incremental delta-sigma ADC that utilizes a passive integrator instead of an opamp-based active integrator. Opamp is a power-hungry block that involves tight design tradeoffs. To avoid the use of active integrator, the s-domain characteristic of an active integrator is first analyzed. Based on the analysis, an active integrator with low gain design is proposed as an alternative design method. To save power even more aggressively, a passive integrator with no static current is proposed. A 1st order single-bit incremental delta-sigma ADC using the proposed passive integrator is implemented in a 65nm CMOS process. Transistor-level simulation shows that the ADC consumes only 0.6uW under 1.2V supply while achieving SNDR of 71dB with 22kHz bandwidth. The estimated total power consumption including digital filter is 6.25uW, and resulting power efficiency is on a par with state-of-the-art A/D converters.

The Expressions of Vector Gravity and Gravity Gradient Tensor due to an Elliptical Cylinder (타원 기둥에 의한 벡터 중력 및 중력 변화율 텐서 반응식)

  • Hyoungrea Rim
    • Geophysics and Geophysical Exploration
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    • v.26 no.1
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    • pp.1-7
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    • 2023
  • This study derives the expressions of vector gravity and gravity gradient tensor due to an elliptical cylinder. The vector gravity for an arbitrary three-dimensional (3D) body is obtained by differentiating the gravitational potential, including the triple integral, according to the shape of the body in each axis direction. The vector gravity of the 3D body with axial symmetry is integrated along the axial direction and reduced to a double integral. The complex Green's theorem using complex conjugates subsequently converts the double integral into a one-dimensional (1D) closed-line integral. Finally, the vector gravity due to the elliptical cylinder is derived using 1D numerical integration by parameterizing a boundary of the elliptical cross-section as a closed line. Similarly, the gravity gradient tensor due to the elliptical cylinder is second-order differentiated from the gravitational potential, including the triple integral, and integrated along the vertical axis direction reducing it to a double integral. Consequently, all the components of the gravity gradient tensor due to an elliptical cylinder are derived using complex Green's theorem as used in the case of vector gravity.