• Title/Summary/Keyword: 섭동방법

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Unified State Model(USM)을 이용한 정밀 궤도 계산

  • Song, Yong-Jun;Baek, Seul-Min;Kim, Gap-Seong
    • The Bulletin of The Korean Astronomical Society
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    • v.37 no.2
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    • pp.160.2-160.2
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    • 2012
  • Unified State Model(이후 USM)은 Altman(1972)에 의해 처음 제안된 이후 Chodas(1981), Raol & Sinha(1985), Vittaldev et al.(2012) 등을 거치며 연구 발전되어 왔다. 이 모델은 공간상 6개 성분의 위치, 속도 벡터를 이용해 위성의 운동을 기술하는 기존 계산 방법과 달리 4개의 Quaternion 변수를 도입하여 위성의 위치를, 3개의 Hodograph 변수를 도입하여 위성의 속도를 각각 기술한다. USM의 장점은 직교좌표계로 표현된 위성의 위치, 속도 변수에 비해 USM 변수의 변화량이 상대적으로 작기 때문에 수치 계산 시 계산의 안정도가 높다. 또한 원궤도(${\omega}$ : undefined)와 적도면 궤도(i = 0, ${\Omega}$ : undefined) 계산 시에 나타나는 특이성(singularity) 문제가 발생하지 않는다. 본 연구에서는 USM 계산방법과 기존 방법에 의한 위성궤도 계산결과의 차이를 비교 분석하였다. 지구궤도 위성의 정밀계산을 위해 이체항 이외에 지구타원체 섭동항과 대기 항력에 의한 섭동항을 추가 적용하였다. 비구형 지구 중력 포텐셜에 의한 섭동은 J4항까지 고려하였으며, 대기 항력은 간단한 exponential 모델을 적용하였다. 또한 수치계산 시 적분 간격과 정밀도 차수를 조절하여 각 모델의 계산 안정성을 테스트하였다. 본 연구의 궤도계산 결과 USM 모델을 이용한 계산방법은 그 정밀성과 계산효율성이 매우 우수한 것으로 검증되었다.

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An Experimental Study on the Combustion Instability Evaluation by Using DMD (DMD 기법을 적용한 모형 가스터빈의 연소불안정성 평가에 관한 실험적 연구)

  • Son, Jinwoo;Sohn, Chae Hoon;Yoon, Jisu;Yoon, Youngbin
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2017.05a
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    • pp.59-60
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    • 2017
  • Combustion instability of gas turbine is performed by adopting dynamic mode decomposition (DMD). The unstable frequencies are calculated and compared with FFT results. The damping coefficient derived from the DMD technique and FFT results were compared and analyzed. OH radical is measured by experimental work and fluctuation field is extracted and FTF was calculated at various points with DMD. The gains of FTF are changed depending on the extraction position of the heat release fluctuation field.

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Time Series Perturbation Modeling Algorithm : Combination of Genetic Programming and Quantum Mechanical Perturbation Theory (시계열 섭동 모델링 알고리즘 : 운전자 프로그래밍과 양자역학 섭동이론의 통합)

  • Lee, Geum-Yong
    • The KIPS Transactions:PartB
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    • v.9B no.3
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    • pp.277-286
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    • 2002
  • Genetic programming (GP) has been combined with quantum mechanical perturbation theory to make a new algorithm to construct mathematical models and perform predictions for chaotic time series from real world. Procedural similarities between time series modeling and perturbation theory to solve quantum mechanical wave equations are discussed, and the exemplary GP approach for implementing them is proposed. The approach is based on multiple populations and uses orthogonal functions for GP function set. GP is applied to original time series to get the first mathematical model. Numerical values of the model are subtracted from the original time series data to form a residual time series which is again subject to GP modeling procedure. The process is repeated until predetermined terminating conditions are met. The algorithm has been successfully applied to construct highly effective mathematical models for many real world chaotic time series. Comparisons with other methodologies and topics for further study are also introduced.

Inverse Perturbation Method and Sensor Location for Structural Damage Detection (구조물의 손상탐지를 위한 역섭동법과 센서위치의 선정)

  • Park, Yun Cheol;Choe, Yeong Jae;Jo, Jin Yeon;Kim, Gi Uk
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.31 no.3
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    • pp.31-38
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    • 2003
  • In the present work, a nonlinear inverse perturbation method which has been used in the structural optimization, is adopted so as to identify the structural damages. Unlike the structural optimization, a larger number of constrained equations than the number of unknown parameters are often required detect structural damage. Therefore, nonlinear least squares method is utilized to solve the problem. Because only a limited number of sensors are available I real situation of damage detection, the determination of sensor location becomes one of the most important issues. Hence, this work concentrates on the issue of sensor placement in the framework of nonlinear inverse perturbation method, and the performances of various methodologies concerning to sensor placement are compared with each other. The comparisons show tat the successive elimination method gets good performance for sensor placement. From the several numerical studies, it is confirmed that the inverse perturbation method, combined with the successive elimination method, is very promising in structural damage detection.

Multicopter Position Control using Singular Perturbation based Dynamic Model Inversion (특이섭동 모델역변환을 이용한 멀티콥터 위치제어 연구)

  • Choi, Hyoung Sik;Jung, Yeondeuk;Lee, Jangho;Ryu, Hyeok;Lee, Sangjong
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.45 no.4
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    • pp.276-283
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    • 2017
  • This paper presents position control of multicopter using nonlinear dynamic model inversion in singular perturbation. Multicopter dynamics are developed and separated into the fast time-scale variables, related with the inner-loop design, and the slow time-scale variables, related with the outer-loop design. The final design is evaluated in 6-DOF simulation. The results show accurate position tracking performance.

Prediction of Pressure Fluctuations on Hammerhead Vehicle at Transonic Speeds Using CFD and Semi-empirical Formula Considering Spatial Distribution (CFD와 공간분포를 고려한 반경험식을 이용한 해머헤드 발사체의 천음속 압력섭동 예측)

  • Kim, Younghwa;Nam, Hyunjae;Kim, June Mo;Sun, Chul
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.49 no.6
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    • pp.457-464
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    • 2021
  • To analyze the buffet phenomenon that causes serious vibration loads on a satellite launch vehicle, the pressure fluctuations on a hammerhead launch vehicle at transonic speeds are predicted by coupling CFD analysis and semi-empirical methods. From the RANS simulation, shock oscillation region, separation region, and separation reattachment region are identified, and the boundary layer thickness, the displacement thickness, and flow properties at boundary layer edge are calculated. The pressure fluctuations and power spectra on the hammerhead fairing are predicted by coupling RANS results and semi-empirical methods considering spatial distribution, and compared with the experimental data.

Acoustic and Vaporization Responses due to High-Frequency Combustion Instabilities (음향 및 기화반응 모델을 이용한 고주파 연소불안정 예측)

  • 이길용;황용석;윤웅섭
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 1998.10a
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    • pp.1-1
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    • 1998
  • 로켓엔진 추력발생용으로 광범위하게 사용되는 액체추진제는 고성능, 대용량의 액체추진제 로켓엔진에서는 필연적으로 고주파 연소불안정의 문제를 수반하며, 이 연소불안정의 정도는 연소성능과 더불어 엔진개발의 성패를 좌우하는 중요한 여건이 된다. 따라서 안정한 로켓의 비행을 보장하기 위해서는 연소불안정의 문제가 선결되어야 한다. 연소불안정의 기본 메커니즘은 연소기에서 발생하는 압력섭동에 반응하여 불안정한 음향에너지를 되먹임하는 연소과정으로 설명된다. 연소불안정 현상이 발견된 이후 실험 및 이론적 접근에 의해 이와 같은 연소불안정 메커니즘 및 예측에 대한 체계적인 연구가 이루어져 왔으며, 현재까지의 다양한 고주파 연소불안정 예측방법 중에서 음향 및 기화 응답함수를 이용하는 방법은 직관적 고찰에 의존하는 단순한 연소모델을 적용하며 주로 음향적 섭동에 의한 연소의 반응을 연소안정성 평가의 파라메터로 사용한다. 이와 같은 음향적인 예측방법은 연소불안정 현상을 이론적으로 전개하므로 경제적으로 각종 설계변수에 대한 연소불안정의 변화를 구분할 수 있는 장점이 있어 성능 및 호환설계와 병행하여 로켓엔진 연소실의 초기 안정성 설계방법으로 주로 사용된다.

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Fuel Consumption Estimation for Atmospheric Drag Using LEO Perturbation Analysis (섭동해석을 이용한 저궤도 위성의 대기저항 보정용 연료 소모량 예측)

  • Jung, Do-Hee;Song, Yong-Kyu
    • Journal of Advanced Navigation Technology
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    • v.3 no.2
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    • pp.147-155
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    • 1999
  • In this work variations of orbital parameters are derived from the perturbation equations under Earth oblateness and atmospheric drag. A simple and effective scheme is proposed to compute the required delta v and fuel consumption to compensate for atmospheric drag. The scheme is applied to KOMPSAT example.

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Design of Generalized Fluctuation Function for Reversible Data Hiding in Encrypted Image (암호화된 영상의 가역적 데이터 은닉을 위한 일반화된 섭동 함수 설계)

  • Kim, Young-Hun;Lim, Dae-Woon;Kim, Young-Sik
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.41 no.11
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    • pp.1329-1340
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    • 2016
  • Recently, Zhang proposed a scheme to hide information in encrypted images using synchronous stream ciphers. After the receiver decrypts the encrypted image and extracts data by calculating the spatial correlation property value using the fluctuation function which is designed to calculate spacial correlation between adjacent pixels in a decrypted image. Then, Hong improved the Zhang's data hiding scheme by introducing the side match technique. In this paper, a novel fluctuation function is proposed to reduce the recovery errors which arise during extracting hidden data. Then, we also demonstrated that the proposed fluctuation function outperforms the previous functions through computer simulations for sample images.

A Numerical Study on Combustion-Response Parameters of Impinging-Jet Injectors for Stability Rating (충돌형 분사기의 연소응답 인자 정량화에 관한 수치해석적 연구)

  • Son, Jin Woo;Kim, Chul Jin;Sohn, Chae Hoon
    • Journal of the Korean Society of Propulsion Engineers
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    • v.17 no.2
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    • pp.1-8
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    • 2013
  • This study presents relations between the time lag and interaction index of the impinging-jet injectors using the time lag model in a model chamber. The response of the flame is analyzed to artificial perturbation with 5% amplitude of oxidizer speed at a resonance frequency. At the mixing point of fuel and oxidizer, which determines the characteristic length, the relationship between velocity perturbation and heat release rate is quantified by combustion parameters of interaction index and time lag. In this method, time lag or delay is calculated by the characteristic length and the average velocity obtained from numerical results. The tendency that the time delay decreases with axial jet velocity has been observed.