• Title/Summary/Keyword: generalized power series

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Direct Calculation Method for Excited-state Diffusion-influenced Reversible Reactions with an External Field

  • Reigh, Shang Yik;Kim, Hyo-Joon
    • Bulletin of the Korean Chemical Society
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    • v.33 no.3
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    • pp.1015-1019
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    • 2012
  • The direct calculation method is generalized to the excited-state diffusion-influenced reversible reaction of a neutral and a charged particle under an external field with two different lifetimes and quenching in three dimensions. The present method provides an alternative way to calculate the binding probability density functions and the survival probabilities from the corresponding irreversible results. The solutions are obtained as the series solutions by the diagonal approximation due to the anisotropy of the unidirectional external field. The numerical results are found to be in good agreement with those of the previous study [S. Y. Reigh et al. J. Chem. Phys. 132, 164112 (2010)] within a weak field limit. The solutions of two approaches show qualitatively the same overall behavior including the power laws at long times.

Speed Estimation of Diesel-Generator Systems Based on Multiple SOGI-FLLs (다중 SOGI-FLL 기반 엔진-발전기 시스템의 속도 추정)

  • Dao, Ngoc Dat;Lee, Dong-Choon
    • Proceedings of the KIPE Conference
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    • 2017.11a
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    • pp.63-64
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    • 2017
  • This paper proposes a speed estimator for sensorless control of diesel-generator (genset) systems, where the speed of the genset is calculated from the back-EMF frequency of the generator. The back-EMF frequency is extracted from a phase output current by using multiple second-order generalized integrators (SOGIs) connected in parallel and series and separated frequency-locked loops. The proposed method (PS-SOGI-FLL) is able to estimate the fundamental frequency in the distorted output current with high accuracy and strong robustness. Simulation results are shown to verify the validity of the proposed method.

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FINITE GROUPS WITH SOME SEMI-p-COVER-AVOIDING OR ss-QUASINORMAL SUBGROUPS

  • Kong, Qingjun;Guo, Xiuyun
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.4
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    • pp.943-948
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    • 2014
  • Suppose that G is a finite group and H is a subgroup of G. H is said to be an ss-quasinormal subgroup of G if there is a subgroup B of G such that G = HB and H permutes with every Sylow subgroup of B; H is said to be semi-p-cover-avoiding in G if there is a chief series 1 = $G_0$ < $G_1$ < ${\cdots}$ < $G_t=G$ of G such that, for every i = 1, 2, ${\ldots}$, t, if $G_i/G_{i-1}$ is a p-chief factor, then H either covers or avoids $G_i/G_{i-1}$. We give the structure of a finite group G in which some subgroups of G with prime-power order are either semi-p-cover-avoiding or ss-quasinormal in G. Some known results are generalized.

Geometry and load effects on transient response of a VFGM annular plate: An analytical approach

  • Alavia, Seyed Hashem;Eipakchi, Hamidreza
    • Structural Engineering and Mechanics
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    • v.70 no.2
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    • pp.179-197
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    • 2019
  • In this article, the effect of different geometrical, materials and load parameters on the transient response of axisymmetric viscoelastic functionally graded annular plates with different boundary conditions are studied. The behavior of the plate is assumed the elastic in bulk and viscoelastic in shear with the standard linear solid model. Also, the graded properties vary through the thickness according to a power law function. Three types of mostly applied transient loading, i.e., step, impulse, and harmonic with different load distribution respect to radius coordinate are examined. The motion equations and the corresponding boundary conditions are extracted by applying the first order shear deformation theory which are three coupled partial differential equations with variable coefficients. The resulting motion equations are solved analytically using the perturbation technique and the generalized Fourier series. The sensitivity of the response to the graded indexes, different transverse loads, aspect ratios, boundary conditions and the material properties are investigated too. The results are compared with the finite element analysis.

Statistical Properties of Flare Variability, Energy, and Frequency in Low-Mass Stars

  • Chang, Seo-Won;Byun, Yong-Ik
    • The Bulletin of The Korean Astronomical Society
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    • v.36 no.1
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    • pp.29.2-29.2
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    • 2011
  • Although stellar flares have a long history of observations, there are few concrete understanding about underlying physical processes and meaningful correlations with other stellar properties. Most of previous observations dealt with only a small number of sample stars, and therefore not sufficient to support generalized statistical studies. Based on one-month long MMT time-series observations of the open cluster M37, we monitored light variations of nearly 2,500 M-dwarf stars and successfully identified 606 flare events from 422 stars. This is a rare attempt to estimate true flare rates and properties among many stars of the same age and mass group. For each flare, we considered both observational and physical parameters including flare shape, duration before and after the peak, baseline magnitude before and after the peak, peak magnitudes, total energy and peak energy, etc. We find significant correlations between some of key parameters over a wide range of energy ($Er=10^{32}{\sim}10^{36}ergs$). For instance, regardless of stellar luminosities, the energy power spectrum of flares can be approximated by a power law (${\beta}=0.83-0.97$). This suggests that flares follow similar physical mechanisms for atmospheric heating and cooling among these low-mass stars. From this MMT data set, we derived an average flaring rate of $0.019 hr^{-1}$ among flare stars and $0.003 hr^{-1}$ for all M-dwarf candidates. We will report the details of our analysis and discuss physical implications.

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Time Series Modelling of Air Quality in Korea: Long Range Dependence or Changes in Mean? (한국의 미세먼지 시계열 분석: 장기종속 시계열 혹은 비정상 평균변화모형?)

  • Baek, Changryong
    • The Korean Journal of Applied Statistics
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    • v.26 no.6
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    • pp.987-998
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    • 2013
  • This paper considers the statistical characteristics on the air quality (PM10) of Korea collected hourly in 2011. PM10 in Korea exhibits very strong correlations even for higher lags, namely, long range dependence. It is power-law tailed in marginal distribution, and generalized Pareto distribution successfully captures the thicker tail than log-normal distribution. However, slowly decaying autocorrelations may confuse practitioners since a non-stationary model (such as changes in mean) can produce spurious long term correlations for finite samples. We conduct a statistical testing procedure to distinguish two models and argue that the high persistency can be explained by non-stationary changes in mean model rather than long range dependent time series models.

Calculation of Electric Polarizability of Square Patch for Calculating Reflection Coefficient of Metasurface (메타표면 반사계수 계산을 위한 정사각형 패치의 전기 분극률 계산)

  • Lee, Sun-Gyu;Lee, Jeong-Hae
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.29 no.8
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    • pp.594-598
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    • 2018
  • The tangential electric polarizability of a electrically small square patch, which is commonly used in metasurfaces, is calculated using electric potential continuity. Since the potential at the patch surface is not uniform due to the equivalent electric dipole located at the center, there is a problem in that the polarizability is not uniquely defined. To obtain equivalent polarizability, the meshes in the analysis area are divided on the patch surface, and the equivalent polarizability is calculated by averaging the polarizabilities obtained at each point. The results of the proposed method, third-power series approximation, and experimental equations are compared and verified. Finally, the magnitude and phase of the reflection coefficient of patch metasurface calculated by generalized sheet transition conditions(GSTCs) are in good agreement with the HFSS simulation results.

Creep Prediction of Chemical Grouted Sands (약액주입 사질고결토의 크리프 예측)

  • Kang, Hee-Bog;Kim, Jong-Ryeol;Kang, Kwon-Soo;Kim, Tae-Hoon;Hwang, Soung-Won
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.8 no.2
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    • pp.195-204
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    • 2004
  • A series of constant creep and repeated creep tests are performed to investigate the behavior of visco-elasto-plastic materials of chemical grouted sands. In the result of constant creep test, the material exhibits three types of shear strain : elastic, plastic, viscoelastic. The elastic, plastic and viscoelastic strains are linear, i.e., the strains are proportional to the stresses for loading. Good agreement is found between the predicted viscoelastic and test results by the power law and the generalized model. In the repeated creep test, the instantaneous recoverable strain is time-independent and the magnitude of accumulated plastic strain increases with number of cycles. Also it is seen that the accumulated plastic strains are approximately proportional to stress. There are no significant differences between test results predicted values for first cycle, and the differences increase relatively insignificantly with number of cycles.

Empirical Analyses of Asymmetric Conditional Heteroscedasticities for the KOSPI and Korean Won-US Dollar Exchange Rate (KOSPI지수와 원-달러 환율의 변동성의 비대칭성에 대한 실증연구)

  • Maeng, Hye-Young;Shin, Dong-Wan
    • The Korean Journal of Applied Statistics
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    • v.24 no.6
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    • pp.1033-1043
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    • 2011
  • In this paper, we use a nested family of models of Generalized Autoregressive Conditional Heteroscedasticity(GARCH) to verify asymmetric conditional heteroscedasticity in the KOSPI and Won-Dollar exchange rate. This study starts from an investigation of whether time series data have asymmetric features not explained by standard GARCH models. First, we use kernel density plot to show the non-normality and asymmetry in data as well as to capture asymmetric conditional heteroscedasticity. Later, we use three representative asymmetric heteroscedastic models, EGARCH(Exponential Garch), GJR-GARCH(Glosten, Jagannathan and Runkle), APARCH(Asymmetric Power Arch) that are improved from standard GARCH models to give a better explanation of asymmetry. Thereby we highlight the fact that volatility tends to respond asymmetrically according to positive and/or negative values of past changes referred to as the leverage effect. Furthermore, it is verified that how the direction of asymmetry is different depending on characteristics of time series data. For the KOSPI and Korean won-US dollar exchange rate, asymmetric heteroscedastic model analysis successfully reveal the leverage effect. We obtained predictive values of conditional volatility and its prediction standard errors by using moving block bootstrap.

A Study of Periodic Solutions of Typical Relay Servo System (릴레이 제어기구 조기해법에 관한 연구)

  • 나계근
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.8 no.3
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    • pp.1-14
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    • 1971
  • A relay servo, one of the nonlinear sytsems, is inherently compact compared to a linear system for an equivalent control problem. The power element or actuator is not adjusted proportionally in accordance with an error signals but rather is switched abruptly between several discrete conditions. Usually switched conditions are off, full, forward or full reverse. The relay system is a particularly simple and compact one, but probably more effort has been expended on its analysis and design than on all other systems together. Early studies in the art were made by Goldfarb, austin, Oppelt and Kochenburger on the describing function method, which can be used as an approximate check on the stability of the system. The describing function method is based on the assumption that any periodic wave could be approximated as a fundamental one in wide ranges of practical applications. A relay servo system usually operates on a limit cycle condition as the loop gain increases. The stability analysis compensation or any improvement effort based on the describing function method sometimes may present considerable discrepancies on physically realized practical systems. An approach to exact periodic solutions of a relay servo system is much important for the analysis, design and system improvement. This paper dells with periodic solutions of a relay servo system on the basis of describing function and generalized chopper wave form which is composed of infinite number of harmonic series. Various ways of graphical representation were attempted to get periodic solutions, some of which have shown its validity in rapid approach to exact solutions and also in judgement of system behavior.

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