• 제목/요약/키워드: zero-order solution

검색결과 182건 처리시간 0.022초

크리로프 부공간법에 근거한 모델차수축소기법을 통한 배열형 MEMS 공진기의 주파수응답해석 (Frequency Response Analysis of Array-Type MEMS Resonators by Model Order Reduction Using Krylov Subspace Method)

  • 한정삼;고진환
    • 대한기계학회논문집A
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    • 제33권9호
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    • pp.878-885
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    • 2009
  • One of important factors in designing MEMS resonators for RF filters is obtaining a desired frequency response function (FRF) within a specific frequency range of interest. Because various array-type MEMS resonators have been recently introduced to improve the filter characteristics such as bandwidth, pass-band, and shape factor, the degrees of freedom (DOF) of finite elements for their FRF calculation dramatically increases and therefore raises computational difficulties. In this paper the Krylov subspace-based model order reduction using moment-matching with non-zero expansion points is represented as a numerical solution to perform the frequency response analyses of those array-type MEMS resonators in an efficient way. By matching moments at a frequency around the specific operation range of the array-type resonators, the required FRF can be efficiently calculated regardless of their operating frequency from significantly reduced systems. In addition, because of the characteristics of the moment-matching method, a minimal order of reduced system with a prearranged accuracy can be determined through an error indicator using successive reduced models, which is very useful to automate the order reduction process and FRF calculation for structural optimization iterations. We also found out that the presented method could obtain the FRF of a $6\times6$ array-type resonator within a seventieth of the computational time necessary for the direct method and in addition FRF calculation by the mode superposition method could not even be completed because of a data overflow with a half after calculation of 9,722 eigenmodes.

다중 사용자 다중 안테나 하향링크 채널에서 에너지 효율 향상을 위한 기지국 활성 안테나 수 최적화 기법 (Optimization of the Number of Active Antennas for Energy-Efficiency in the MIMO Broadcast Channel)

  • 최승규;김도훈;이충용
    • 전자공학회논문지
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    • 제51권5호
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    • pp.29-34
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    • 2014
  • 본 논문에서는 다중 사용자 다중 안테나 하향링크 채널에서 에너지 효율을 향상시키기 위하여 zero-forcing beamforming (ZFBF) 전처리 필터 기반의 기지국 활성 안테나 수 최적화 기법을 제안한다. 제안하는 기법에서는 최적의 안테나 수를 찾는 연산과정의 복잡도를 줄이기 위하여 사용자의 순시 채널 이득 대신 ZFBF의 평균 채널 이득을 사용한다. 그리고 분수함수 형태의 목적함수를 차를 이용한 목적함수로 변환하여 최적의 안테나 수와 최대 에너지 효율을 찾는 과정을 반복 수행하여 문제를 해결한다. 모의실험을 통해 제안하는 기법의 에너지 효율은 exhaustive search 방법으로 찾은 최대 에너지 효율과 거의 동일함을 확인한다.

회절을 고려한 반무한방파제 형식의 장대구조물에 작용하는 파력 예측 (Prediction of Wave Force on a Long Structure of Semi-infinite Breakwater Type Considering Diffraction)

  • 정재상;이창훈;조용식
    • 한국해안·해양공학회논문집
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    • 제27권6호
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    • pp.424-433
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    • 2015
  • 본 연구에서는 회절을 고려하여 반무한방파제 형식의 직립식 장대구조물에 작용하는 파력에 대해 검토하였다. 장대구조물에 작용하는 파력은 규칙파, 일방향 불규칙파 및 다방향 불규칙파를 대상으로 하였다. 방파제 전면 및 후면에서 발생하는 회절을 모두 고려하였다. 방파제의 상대길이(1/L)가 0인 경우 방파제에 작용하는 파력은 회절에 의해 0이 된다. 방파제의 상대길이가 1.0 이하인 경우에는 회절의 영향이 비교적 강하였으며, 방파제의 상대길이가 0.5 이상인 경우에는 방파제의 장대화 효과에 의해 작용 파력이 크게 감소하였다. 즉, 방파제의 상대길이가 1.0 이하인 경우에는 회절효과의 고려가 필요하며, 장대 방파제의 파력 감소효과를 얻기 위해서는 방파제의 상대길이가 최소 0.5 이상이어야 함을 알 수 있다.

망간 산화물에 의한 3가 크롬의 산화 (Kinetics of Chromium(III) Oxidation by Various Manganess Oxides)

  • 정종배;;임선옥
    • Applied Biological Chemistry
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    • 제37권5호
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    • pp.414-420
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    • 1994
  • 망간 산화물 birnessite, pyrolusite, hausmannite의 표면에서 일어나는 3가 크롬의 산화현상을 조사하였다. 이들은 zero point of charge, 표면적, 그리고 결정도 등에서 차이가 많은데, 크롬 산화현상은 모두 1차 반응이었으며 반응용액의 pH 및 최초 3가 크롬농도가 반응에 큰 영향을 미쳤다. 일반적으로 hausmannite에 의한 산화가 가장 빨랐으며 pyrolusite에 의한 산화는 상대적으로 매우 느렸다. 용액 pH와 최초 3가 크롬농도의 상호 작용이 전체 반응속도를 조절하는 것 같으며 pH가 높고 3가 크롬농도가 높을 경우 망간산화물 표면에 3가 크롬 침전되거나 complex를 형성할 수 있을 것이다. Birnessite와 hausmannite에서는 $pH\;3.0{\sim}5.0$ 범위에서 pH가 낮을수록 산화력이 높았으나 pyrolusite의 경우에는 pH가 높을수록 산화력이 증가하였다. 반응속도는 온도에 또한 민감했다. pH 3.0에서의 산화반응의 activation energies는 일반적으로 diffusion에 필요한 activation energy보다 크게 나타났으나 반응속도를 결정하는 단계가 무엇인지는 확실하지 않다.

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Synthesis of iron nanoparticles with poly(1-vinylpyrrolidone-co-vinyl acetate) and its application to nitrate reduction

  • Lee, Nara;Choi, Kyunghoon;Uthuppu, Basil;Jakobsen, Mogens H.;Hwang, Yuhoon;Broholm, Mette M.;Lee, Woojin
    • Advances in environmental research
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    • 제3권2호
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    • pp.107-116
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    • 2014
  • This study aimed to synthesize dispersed and reactive nanoscale zero-valent iron (nZVI) with poly(1-vinylpyrrolidone-co-vinyl acetate) (PVP/VA), nontoxic and biodegradable stabilizer. The nZVI used for the experiments was prepared by reduction of ferric solution in the presence of PVP/VA with specific weight ratios to iron contents. Colloidal stability was investigated based on the rate of sedimentation, hydrodynamic radius and zeta potential measurement. The characteristic time, which demonstrated dispersivity of particles resisting aggregation, increased from 21.2 min (bare nZVI) to 97.8 min with increasing amount of PVP/VA (the ratios of 2). For the most stable nZVI coated by PVP/VA, its reactivity was examined by nitrate reduction in a closed batch system. The pseudo-first-order kinetic rate constants for the nitrate reduction by the nanoparticles with PVP/VA ratios of 0 and 2 were 0.1633 and $0.1395min^{-1}$ respectively. A nitrogen mass balance, established by quantitative analysis of aqueous nitrogen species, showed that the addition of PVP/VA to nZVI can change the reduction capacity of the nanoparticles.

이족 보행로봇의 균형추 형태에 따른 안정성 해석 (A Stability Analysis of a Biped Walking Robot about Balancing Weight)

  • 노경곤;김진걸
    • 한국정밀공학회지
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    • 제22권1호
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    • pp.89-96
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    • 2005
  • This paper is concerned with a balancing motion formulation and control of the ZMP (Zero Moment Point) for a biped-walking robot that has a prismatic balancing weight or a revolute balancing weight. The dynamic stability equation of a walking robot which have a prismatic balancing weight is conditionally linear but a walking robot's stability equation with a revolute balancing weight is nonlinear. For a stable gait, stabilization equations of a biped-walking robot are modeled as non-homogeneous second order differential equations for each balancing weight type, and a trajectory of balancing weight can be directly calculated with the FDM (Finite Difference Method) solution of the linearized differential equation. In this paper, the 3dimensional graphic simulator is developed to get and calculate the desired ZMP and the actual ZMP. The operating program is developed for a real biped-walking robot IWRⅢ. Walking of 4 steps will be simulated and experimented with a real biped-walking robot. This balancing system will be applied to a biped humanoid robot, which consist legs and upper body, as a future work.

환경요인이 $Fe^0$ 에 의한 TNT의 환원 반응속도에 미치는 영향 (The Effects of Environmental Conditions on the Reduction Rate of TNT by $Fe^0$)

  • 배범한
    • 한국지하수토양환경학회:학술대회논문집
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    • 한국지하수토양환경학회 2000년도 창립총회 및 춘계학술발표회
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    • pp.52-55
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    • 2000
  • The effects of environmental conditions, initial dissolved oxygen concentrations, pH, and the presence of electron carrier vitamin B$_{12}$ , on the reduction rate of TNT by Fe$^{0}$ was Quantitatively analyzed using a batch reactor. In all experiments, TNT reduction was best described with a first order reaction and the reduction rate decreased with the increase in the initial DO concentration. However, the specific reaction rate did not decrease linearly with the increase in the initial DO concentration. In the presence of HEPES buffer 0.2 and 2.0 mM(pH 5.7$\pm$0.2), the specific reaction rate increased more than 5.8 times, which showed reduction rate is rather significantly influenced by the pH of the solution. To test the possibility of reaction rate enhancement, well-known electron carrier(or mediator), vitamin B$_{12}$ has augmented besides Fe$^{0}$ . In the presence of 8.0 $\mu\textrm{g}$/L of vitamin B$_{12}$ , the specific reaction rate increased as much as 14.6 times. The results indicate that the addition of trace amount of vitamin B$_{12}$ can be a promising rate controlling option for the removal of organics using a Fe$^{0}$ filled permeable reactive barrier.

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Degradation of oxytetracycline by nano zero valent iron under UV-A irradiation: Chemical mechanism and kinetic

  • Hassanzadeh, Parisa;Ganjidoust, Hossein;Ayati, Bita
    • Advances in environmental research
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    • 제3권1호
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    • pp.29-43
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    • 2014
  • Pharmaceutical wastewater effluents are well known for their difficult elimination by traditional biotreatment methods and their important contribution to environmental pollution due to its fluctuating and recalcitrant nature. OTC is one of the nonbiodegradable antibiotics that makes antibiotic-resistant, so it can make be high risk for environment. NZVI can be a good choice for removal of OTC in aqueous solution. Response surface methodology (RSM) was used to optimize the amounts of NZVI and OTC to be used at pH 3 and under 200 W, UV-A irradiation. The responses were removal percent of absorption at 290 and 348 nm, TOC and COD of OTC. In the optimum condition, Linear model was performed 155 ppm of OTC were removed by 1000 ppm NZVI after 6.5 hours and the removal efficiency of absorption at 290 and 348 nm, TOC and COD were 87, 95, 85 and 89 percent, respectively. In the similar process, there is no organic compound after 14 hours. The parameters ORP, DO and pH were investigated for 6:30 hours to study the type of NZVI reaction in process. In the beginning of reaction, oxidation was the dominant reaction after 3 hours, photocatalytic reaction was remarkable. The mechanism of OTC degradation is proposed by HPLC/ESI-MS and four by products were found. Also the rate constants (first order kinetic chain reaction model) were 0.0099, 0.0021, 0.0010, 0.0049 and $0.0074min^{-1}$, respectively.

이산 비선형 시스템에 대한 유한 임펄스 응답 고정 시간 지연 평활기 (A Finite Impulse Response Fixed-lag Smoother for Discrete-time Nonlinear Systems)

  • 권보규;한세경;한수희
    • 제어로봇시스템학회논문지
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    • 제21권9호
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    • pp.807-810
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    • 2015
  • In this paper, a finite impulse response(FIR) fixed-lag smoother is proposed for discrete-time nonlinear systems. If the actual state trajectory is sufficiently close to the nominal state trajectory, the nonlinear system model can be divided into two parts: The error-state model and the nominal model. The error state can be estimated by adapting the optimal time-varying FIR smoother to the error-state model, and the nominal state can be obtained directly from the nominal trajectory model. Moreover, in order to obtain more robust estimates, the linearization errors are considered as a linear function of the estimation errors. Since the proposed estimator has an FIR structure, the proposed smoother can be expected to have better estimation performance than the IIR-structured estimators in terms of robustness and fast convergence. Additionally the proposed method can give a more general solution than the optimal FIR filtering approach, since the optimal FIR smoother is reduced to the optimal FIR filter by setting the fixed-lag size as zero. To illustrate the performance of the proposed method, simulation results are presented by comparing the method with an optimal FIR filtering approach and linearized Kalman filter.

분기관을 가진 연소 챔버 내 압력변동 특성에 관한 실험적 연구 (Experimental Study on the Characteristics of Pressure Fluctuation in the Combustion Chamber with Branch Tube)

  • 박장희;이대근;신현동
    • 대한기계학회논문집B
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    • 제33권7호
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    • pp.552-558
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    • 2009
  • An experimental study using the combustor with branch tube was conducted in order to model the industry combustor with FGR (flue gas recirculation) system and to study a thermo-acoustic instability generated by a branch tube. The branch tube is a structure used to modify a system geometry and then to change its pressure field, and the thermo-acoustic instability, usually occurs in a confined geometry, can result in serious problems on industrial combustors. Thus understanding of the instability created by modifying geometry of combustor is necessary to design and operate combustor with FGR system. Pressure fluctuation in the combustion chamber was observed according to diameter and length of branch and it was compared with the solution of 1-D wave equation. It was found that branch tube affects the pressure field in the combustion chamber, and the pressure fluctuation in the combustion chamber was reduced to almost zero when phase difference between an incipient wave in the combustion chamber and a reflected wave in the branch tube is $\pi$ at the branch point. Also, the reduction of pressure fluctuation is irrespective of the installed height of branch tube if it is below $h^*=0.9$ in the close-open tube and open-open tube.