• Title/Summary/Keyword: Q 매개변수화

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Experimental Evaluation of Levitation and Imbalance Compensation for the Magnetic Bearing System Using Discrete Time Q-Parameterization Control (이산시간 Q 매개변수화 제어를 이용한 자기축수 시스템에 대한 부상과 불평형보정의 실험적 평가)

  • ;Fumio Matsumura
    • Journal of KSNVE
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    • v.8 no.5
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    • pp.964-973
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    • 1998
  • In this paper we propose a levitation and imbalance compensation controller design methodology of magnetic bearing system. In order to achieve levitation and elimination of unbalance vibartion in some operation speed we use the discrete-time Q-parameterization control. When rotor speed p = 0 there are no rotor unbalance, with frequency equals to the rotational speed. So in order to make levitatiom we choose the Q-parameterization controller free parameter Q such that the controller has poles on the unit circle at z = 1. However, when rotor speed p $\neq$ 0 there exist sinusoidal disturbance forces, with frequency equals to the rotational speed. So in order to achieve asymptotic rejection of these disturbance forces, the Q-parameterization controller free parameter Q is chosen such that the controller has poles on the unit circle at z = $exp^{ipTs}$ for a certain speed of rotation p ( $T_s$ is the sampling period). First, we introduce the experimental setup employed in this research. Second, we give a mathematical model for the magnetic bearing in difference equation form. Third, we explain the proposed discrete-time Q-parameterization controller design methodology. The controller free parameter Q is assumed to be a proper stable transfer function. Fourth, we show that the controller free parameter which satisfies the design objectives can be obtained by simply solving a set of linear equations rather than solving a complicated optimization problem. Finally, several simulation and experimental results are obtained to evaluate the proposed controller. The results obtained show the effectiveness of the proposed controller in eliminating the unbalance vibrations at the design speed of rotation.

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Is that possible to simulate daily runoff with one parameter? (하나 매개변수로 유출 모의 가능한가?)

  • Noh, Jaekyoung;An, Hyunuk;Lee, Jaenam
    • Proceedings of the Korea Water Resources Association Conference
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    • 2017.05a
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    • pp.29-29
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    • 2017
  • 유역의 물수지를 강수, 증발산, 토양수분저류, 유출 등 성분으로 구성하고, 토양수분저류 상태에 따라 증발산과 유출이 변화하는 식을 기본식으로 구성하였으며, 물수지를 개선하는 매개변수를 변수화하는 개념을 도입하여 다음 식의 모형을 개발하였다. 여기서, ETa는 실제증발산량, ETo는 잠재증발산량, Q는 유출량, S는 토양수분저류량이고, C1은 증발산, C2, ${\alpha}$는 유출반응, C3, C4는 매개변수 ${\alpha}$를 변수화시키는 데 관련한 매개변수이다. $$ETa(i)=(1-e^{-c1{\times}s(i)}){\times}ETo_{(i)}$$ $$Q_{(i)}=S_{(i)}{\times}(1-e^{-c2{\times}s(i)})^{[(c3+e^{-c4{\times}s(i)}){\times}a]}$$ 모형의 검증을 위해 Monte Calro 기법으로 최적 매개변수를 결정한 결과 수많은 매개변수 조합이 최적영역에 분포되는 것을 확인하였으며, 이를 바탕으로 매개변수 하나만 남겨 놓고 나머지 매개변수는 상수화시켜도 모의결과가 똑같다는 결과를 관찰하였으며, 이를 토대로 하나 매개변수만으로 일 유출 모의가 가능하다고 결론을 내렸다. 하나의 매개변수는 ${\alpha}$를 우선 추천하고, C1도 유역의 토지이용에 따라 증발산이 변화하기 때문에 의미있다고 판단하고 있다. 하나의 매개변수를 결정하는 방법은 유출 자료가 있으면 유출량으로, 없으면 유출률을 맞추는 방법이며, 일반화하기 쉽고 실용성이 매우 높은 것으로 평가된다. 유역면적 $209km^2$인 보령댐의 2007년부터 2009년까지 Monte Calro 기법으로 매개변수를 결정한 결과 C1=0.0196, C2=0.0023, C3=0.3230, C4=0.0051, ${\alpha}=2.3304$ 이었으며, 이 때 연평균 강우량 1221.2mm, 유출량 651.2mm, 유출률 53.3%이었으며, $R^2=0.833$, RMSE=2.073, NSE=0.831이었고, 관측 유출량 610.8mm, 유출률 50.0%였다. 매개변수 C1, C2, C3, C4를 고정시키고 유출률 50%에 이를 때 ${\alpha}$는 2.6946이었으며, 이 때 $R^2=0.831$, RMSE=2.102, NSE=0.826이었고, 매개변수 C2, C3, C4, ${\alpha}$를 고정시키고 유출률 50%에 이를 때 C1은 0.0255이었으며, 이 때 $R^2=0.833$, RMSE=2.083, NSE=0.829이었다. 한편 똑같은 자료로 탱크모형은 $R^2=0.79$, RMSE=2.43, NSE=0.77이었고, SWAT 모형은 $R^2=0.56$, RMSE=3.97, NSE=0.40으로 나타난 것과 비교할 때, 개발된 모형의 성능이 우수한 것이라 결론내릴 수 있었다.

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The Parametrization and Structure Analysis for a Perspective Silhouette of a Canal Surface (Canal 곡면의 투시 윤곽곡선의 매개변수화 및 구조 분석)

  • Kim, Ku-Jin;Lee, In-Kwon
    • Journal of the Korea Computer Graphics Society
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    • v.7 no.3
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    • pp.1-7
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    • 2001
  • We present an efficient and robust algorithm to parametrize a perspective silhouette curve of a canal surface. We also detect each connected component of the silhouette. A canal surface is an envelope surface of a moving sphere with varying radii, which is defined by the center trajectory C(t) and radius function r(t) of the moving sphere. A canal surface can be decomposed to a set of characteristic circles. We derive the equations for the silhouette points on each characteristic circle, then parameterize the silhouette curve by using the equation. The sphere $S(t_*)$ with center point $C(t_*)$ and radius $r(t_*)$ intersects with the canal surface at a characteristic circle $K(t_*)$. The perspective silhouette of the sphere $S(t_*)$ from given view point consists of a circle $Q(t_*)$. By finding the values of t at which K(t) and Q(t) tangentially intersect, we detect each connected component of the silhouette curve.

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Evaluation of Stream Flow Data Observed in the Pyungchang River Basin Using the IHACRES Model (IHACRES 모형을 이용한 평창강 유역 내 관측 유량자료의 평가)

  • Park, Yong-Hee;Yoo, Chul-Sang
    • Journal of the Korean Society of Hazard Mitigation
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    • v.8 no.4
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    • pp.123-133
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    • 2008
  • This study evaluated the runoff data collected at 12 stream gauge stations of the Chungjoo dam basin using the IHACRES model. Especially, the geomorphology-related parameters of the IHACRES model could be quantified base on the regionalization technique, which have also been applied many stream gauge stations of the Chungjoo dam basin. Summarizing the results is as follows. (1) The climate-related parameters of the IHACRES model c, $\tau_w{^0}$, and f are found to be estimated and used uniformly over the basin. (2) The geomorphology-related parameters of the IHACRES model $t_q,\;t_s,\;and\;v_s$ are found to be estimated by considering the geomorphological parameters like the basin area, channel length, channel slope, basin slope through the regionalization based on the regression analysis. (3) Using the climate-related parameters applied uniformly over the basin and the geomorphology-related parameters estimated based on the regionalization procedure for each stream gauge station, a total of 12 stream gauge stations have been evaluated with their stream flow measurements. As results, the Sanganmi and Youngwal 1 stream gauge stations have been found to make high quality flow data, but Youngwal, Baekokpo, and Panwoon stations low quality flow data. On the whole, 12 stream gauge stations considered show large differences with their data quality, so a plan for securing more consistent data quality should be prepared imminently.

Parametric Study on the Pressure Continuity Residual for the Stabilization of Pressure in Incompressible Materials (비압축성 물체의 압력해 안정화를 위한 압력연속여분치의 매개변수 연구)

  • 이상호;김상효
    • Computational Structural Engineering
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    • v.8 no.4
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    • pp.189-198
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    • 1995
  • The conventional finite element formulations for incompressible materials show pressure oscillations or pressure modes in four-node quadrilateral elements of commonly used displacement and pressure interpolations. The criterion for the stability in the pressure solution is the so-called Babugka-Brezzi stability condition, and the above elements do not satisfy this condition. In this study, a pressure continuity residual based on the pressure discontinuity at element interfaces is used to study the stabilization of pressure solutions in bilinear displacement-constant pressure four-node quadrilateral elements. This pressure residual is implemented in Q1P0 element derived from the conventional incompressible elasticity. The pressure solutions can be stable with the pressure residual though they exhibit sensitivity to the stabilization parameters. Parametric study for the solution stabilization is also discussed.

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Experimental Evaluation of Q-Parameterization Control for the Imbalance Compensation of Magnetic Bearing Syatem (Q-매개변수화 제어를 이용한 자기축수 시스템의 불평형 보상에 대한 실험적평가)

  • Lee, Jun-Ho;Kim, Hyeon-Gi;Lee, Jeong-Seok;Lee, Gi-Seo
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.3
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    • pp.278-285
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    • 1999
  • This paper utilizes the method of Q-parameterization control to design a controller which solves the problem of imbalance in magnetic bearing systems. There are two methods to solve this problem using feedback controal. The first method is to compensate for the imbalance forces by generating opposing forces on the bearing surface (imbalance compensation). The second method is to make the rotor rotate around its axis of inertia (automatic balancing);in this case no imbalance forces will be generated. In this paper we deal with only imbalance compensation. The free parameter of the Q-parameterization controller is chosen such that these goals are achieved. After the introduction of a model of the magnetic bearing system, we explain the Q-parameterization controller design of the magnetic bearing system with emphasis on the rejection of sinusoidal disturbance for imbalance compensation design. The design objectives are formulated as a linear equations in the controller free paramete Q. Finally, simulation and experimental results are presented and showed the robustness and effectiveness of the proposed controllers.

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Possibility of Drought stress Indexing by Chlorophyll Fluorescence Imaging Technique in Red Pepper (Capsicum annuum L.) (고추의 엽록소 형광 이미지 분석법에 의한 한발스트레스 지표화 가능성)

  • Yoo, Sung-Yung;Eom, Ki-Cheol;Park, So-Hyun;Kim, Tae-Wan
    • Korean Journal of Soil Science and Fertilizer
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    • v.45 no.5
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    • pp.676-682
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    • 2012
  • The objectives of this study focused on measuring chlorophyll fluorescence related to drought stress comparing some parameters. Almost parameters were declined although they were not significant on the basis of mean values of fluorescence of total leaf area. While the ratio of fluorescence intensity variable chlorophyll ($F_V$) to fluorescence intensity maximal chlorophyll ($F_M$) was not changed, the effective quantum yield of photochemical energy conversion in photosystemII (${\Phi}PSII$) and chlorophyll fluorescence decrease ratio ($R_{fd}$) were slightly reduced, indicating inhibition of the electron transport from quinone bind protein A ($Q_A$) to quinone bind protein B ($Q_B$). Some parameters such as non-photochemical quenching rate ($NPQ_{_-LSS}$) and coefficients of non-photochemical quenching of variable fluorescence (qN) in mid-zone of leaf and near petiole zone leaf were significantly enhanced within 4 days after drought stress, which can be used as physiological stress parameters. Decrease in ${\Phi}PSII$ could was significantly measured in all leaf zones. In conclusion, three parametric evidences for chlorophyll fluorescence responses such as ${\Phi}PSII$, NPQ, and qN insinuated the possibility of photophysiological indices under drought stress.

Prediction of Stream Flow on Probability Distributed Model using Multi-objective Function (다목적함수를 이용한 PDM 모형의 유량 분석)

  • Ahn, Sang-Eok;Lee, Hyo-Sang;Jeon, Min-Woo
    • Journal of the Korean Society of Hazard Mitigation
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    • v.9 no.5
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    • pp.93-102
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    • 2009
  • A prediction of streamflow based on multi-objective function is presented to check the performance of Probability Distributed Model(PDM) in Miho stream basin, Chungcheongbuk-do, Korea. PDM is a lumped conceptual rainfall runoff model which has been widely used for flood prevention activities in UK Environmental Agency. The Monte Carlo Analysis Toolkit(MCAT) is a numerical analysis tools based on population sampling, which allows evaluation of performance, identifiability, regional sensitivity and etc. PDM is calibrated for five model parameters by using MCAT. The results show that the performance of model parameters(cmax and k(q)) indicates high identifiability and the others obtain equifinality. In addition, the multi-objective function is applied to PDM for seeking suitable model parameters. The solution of the multi-objective function consists of the Pareto solution accounting to various trade-offs between the different objective functions considering properties of hydrograph. The result indicated the performance of model and simulated hydrograph are acceptable in terms on Nash Sutcliffe Effciency*(=0.035), FSB(=0.161), and FDBH(=0.809) to calibration periods, validation periods as well.

A Study on the Estimation of Initial Design-Width for Small Stream in the West Side Area of GangWon Provinc (강원영서지역 소하천의 초기계획하폭 산정에 관한 연구)

  • Bang, Yoon Hyun;Kim, Sang Ho
    • Proceedings of the Korea Water Resources Association Conference
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    • 2017.05a
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    • pp.447-451
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    • 2017
  • 하천은 지역별, 하천별 고유한 유역형상과 유출특성을 갖고 있어 계획과 관리를 위한 계획하폭 산정공식은 지역고유의 수문학적, 지역적 특성에 따라 달라야 하지만, 현재 적용되고 있는 설계기준의 계획하폭 산정공식은 최근 강우 경향 및 하천 주변 토지이용 고도화 등의 지역특성 여건변화가 고려되지 못하고 있는 실정이다. 특히 소하천의 경우에는 중 대규모의 하천과 달리 계획하폭 산정을 위한 지역별 매개변수의 편차가 커기존 산정된 공식을 활용함에 있어 어려움이 따르며, 토지이용 효율성 및 치수 경제성이 낮은 비효율적 계획하폭이 결정될 개연성이 있는 것으로 판단된다. 따라서 본 연구에서는 한반도 내륙기후특성을 가지는 강원영서지역 소하천에 대한 초기계획하폭 제안식을 산정하기 위해 계획홍수량(Q), 유역면적(A), 하상경사(S)에 대한 회귀분석을 실시하였다. 이를 통해 산정된 관계식은 기초 매개변수만 가지고 쉽게 초기계획하폭을 산정할 수 있어 지역 및 하천특성에 부합되는 개수계획 수립에 활용할 수 있다.

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Forecasting the Growth of Smartphone Market in Mongolia Using Bass Diffusion Model (Bass Diffusion 모델을 활용한 스마트폰 시장의 성장 규모 예측: 몽골 사례)

  • Anar Bataa;KwangSup Shin
    • The Journal of Bigdata
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    • v.7 no.1
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    • pp.193-212
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    • 2022
  • The Bass Diffusion Model is one of the most successful models in marketing research, and management science in general. Since its publication in 1969, it has guided marketing research on diffusion. This paper illustrates the usage of the Bass diffusion model, using mobile cellular subscription diffusion as a context. We fit the bass diffusion model to three large developed markets, South Korea, Japan, and China, and the emerging markets of Vietnam, Thailand, Kazakhstan, and Mongolia. We estimate the parameters of the bass diffusion model using the nonlinear least square method. The diffusion of mobile cellular subscriptions does follow an S-curve in every case. After acquiring m, p, and q parameters we use k-Means Cluster Analysis for grouping countries into three groups. By clustering countries, we suggest that diffusion rates and patterns are similar, where countries with emerging markets can follow in the footsteps of countries with developed markets. The purpose was to predict the timing and the magnitude of the market maturity and to determine whether the data follow the typical diffusion curve of innovations from the Bass model.