• Title/Summary/Keyword: Estimation equation

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Bayes and Sequential Estimation in Hilbert Space Valued Stochastic Differential Equations

  • Bishwal, J.P.N.
    • Journal of the Korean Statistical Society
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    • v.28 no.1
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    • pp.93-106
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    • 1999
  • In this paper we consider estimation of a real valued parameter in the drift coefficient of a Hilbert space valued Ito stochastic differential equation. First we consider observation of the corresponding diffusion in a fixed time interval [0, T] and prove the Bernstein - von Mises theorem concerning the convergence of posterior distribution of the parameter given the observation, suitably normalised and centered at the MLE, to the normal distribution as Tlongrightarrow$\infty$. As a consequence, the Bayes estimator of the drift parameter becomes asymptotically efficient and asymptotically equivalent to the MLE as Tlongrightarrow$\infty$. Next, we consider observation in a random time interval where the random time is determined by a predetermined level of precision. We show that the sequential MLE is better than the ordinary MLE in the sense that the former is unbiased, uniformly normally distributed and efficient but is latter is not so.

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A Sensorless Speed Control of a Permanent Magnet Synchronous Motor that the Estimated Speed is Compensated by using an Instantaneous Reactive Power (순시무효전력을 이용하여 추정속도를 보상한 영구자석 동기전동기의 센세리스 속도 제어)

  • 최양광;김영석;전병호
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.52 no.11
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    • pp.577-585
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    • 2003
  • This paper proposes a new speed sensorless control method of a permanent magnet synchronous motor using an instantaneous reactive power. In the proposed algorithm, the line currents are estimated by a observer and the estimated speed can be yielded from the voltage equation because the information of speed is included in back emf. But the speed estimation error between the estimated and the real speeds is occured by errors due to measuring the motor parameters and sensing the line current and the input voltage. To minimize the speed estimation error, the estimated speed is compensated by using an instantaneous reactive power. In this paper, the proposed algorithm is not affected by mechanical motor parameters because the mechanical equation is not used. The effectiveness of algorithm is confirmed by the experiments.

Life Estimation of Electrolytic Capacitors for Inverters (인버터용 전해커패시터의 수명 추정)

  • Lee, Dong-Choon;Kim, Hyung-Jin
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.50 no.7
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    • pp.338-346
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    • 2001
  • In this paper, dc link currents for the three-phase diode rectifiers and PWM inverters are analyzed and an algorithm of estimating the life of dc link electrolytic capacitors using the analyzed ripple current is presented. Since the capacitor life is dependent on the operating temperature, the power dissipation in capacitors should be calculated. For this, the ESR(equivalent series resistance) model of the capacitor is derived and ripple currents through the capacitor are analyzed. Relating the power dissipation and the heat transfer equation, the internal operating temperature is calculated. Then, the capacitor life can be predicted by using Arrhenius's equation. An example for applications is given for the practical system.

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Enhanced Equivalent Circuit Modeling for Li-ion Battery Using Recursive Parameter Correction

  • Ko, Sung-Tae;Ahn, Jung-Hoon;Lee, Byoung Kuk
    • Journal of Electrical Engineering and Technology
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    • v.13 no.3
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    • pp.1147-1155
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    • 2018
  • This paper presents an improved method to determine the internal parameters for improving accuracy of a lithium ion battery equivalent circuit model. Conventional methods for the parameter estimation directly using the curve fitting results generate the phenomenon to be incorrect due to the influence of the internal capacitive impedance. To solve this phenomenon, simple correction procedure with transient state analysis is proposed and added to the parameter estimation method. Furthermore, conventional dynamic equation for correction is enhanced with advanced RC impedance dynamic equation so that the proposed modeling results describe the battery dynamic characteristics more exactly. The improved accuracy of the battery model by the proposed modeling method is verified by single cell experiments compared to the other type of models.

Estimation of Transparency from the AVHRR Channel 1 Digital Number of NOAA Satellite in the southeastern Yellow Sea (NOAA 원격자료에 의한 황해 남동부 투명도의 추정)

  • 서영상;한상복;강용균
    • Korean Journal of Remote Sensing
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    • v.9 no.2
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    • pp.1-5
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    • 1993
  • Real time transparency estimation method was studied using AVHRR Channel 1 (Visible band, 0.58 - 0.68 $\mu\textrm{m}$) digital number (DN) of NOAA Satellite. The relationshop between the measured transparency and the digital number shows following exponential equation in the southeastern Yellow Sea : Tr = 4820 $\times$ exp (-0.082 $\times$ DN), 77 $\leq$ DN < 105 where Tr is the transparency in meters and DN is the digital number of AVHRR Channel 1. From this equation, real time transparency can be simply estimated using data from the NOAA Ground Station of National Fisheries Research and Development Agency.

Evaluation of Average Shear-wave Velocity Estimation Methods of Multi-layered Strata Considering Site Period (지반주기를 고려한 다층지반의 평균전단파속도 추정 방법 평가)

  • Kim, Dong-Kwan
    • Journal of the Earthquake Engineering Society of Korea
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    • v.23 no.3
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    • pp.191-199
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    • 2019
  • To calculate proper seismic design load and seismic design category, the exact site class for construction site is required. At present, the average shear-wave velocity for multi-layer soil deposits is calculated by the sum of shear-wave velocities without considering of vertical relationship of the strata. In this study, the transfer function for the multi-layered soil deposits was reviewed on the basis of the wave propagation theory. Also, the transfer function was accurately verified by the finite element model and the eigenvalue analysis. Three methods for site period estimation were evaluated. The sum of shear-wave velocities underestimated the average shear-wave velocities of 526 strata with large deviations. The equation of Mexican code overestimated the average shear-wave velocities. The equation of Japanese code well estimated the average shear-wave velocities with small deviation.

AN INVARIANT FORTH-ORDER CURVE FLOW IN CENTRO-AFFINE GEOMETRY

  • Yuanyuan Gong;Yanhua Yu
    • Journal of the Korean Mathematical Society
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    • v.61 no.4
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    • pp.743-760
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    • 2024
  • In this paper, we are devoted to study a forth order curve flow for a smooth closed curve in centro-affine geometry. Firstly, a new evolutionary equation about this curve flow is proposed. Then the related geometric quantities and some meaningful conclusions are obtained through the equation. Next, we obtain finite order differential inequalities for energy by applying interpolation inequalities, Cauchy-Schwartz inequalities, etc. After using a completely new symbolic expression, the n-order differential inequality for energy is considered. Finally, by the means of energy estimation, we prove that the forth order curve flow has a smooth solution all the time for any closed smooth initial curve.

Carbon Sequestration of Teak (Tectona grandis Linn. f.) Plantations in the Bago Yoma Region of Myanmar

  • Oo, Thaung Naing;Lee, Don Koo;Combalicer, Marilyn
    • Journal of Korean Society of Forest Science
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    • v.96 no.5
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    • pp.602-608
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    • 2007
  • Forest plantations become important strategy not merely for the financial aspect, but for carbon sequestration and ecosystem stability. Forest plantations increase the density of the forest biomass, which reduce the increase in atmospheric carbon dioxide. Biomass density is also a useful variable for comparing structural and functional attributes of forest ecosystems across a wide range of environmental conditions. In this study, carbon sequestration of teak (Tectona grandis Linn. f.) in the individual tree and plantation levels estimation was carried out Site-specific allometric equation for the estimation of teak tree biomass was developed based on the direct measurement of fifteen (15) harvested trees in the Oak-twin Township of the Bago Yoma Region, Myanmar. A regression equation of the diameter at breast height (DBH) and the aboveground biomass (carbon content) was constructed to estimate the carbon storage level of plantations, which averaged 79 ton/ha. The average carbon accumulation in the soil (up to 30 cm in depth) was estimated 38.89 ton/ha, The highest mean annual increment (MAI) of total carbon was found in the 6-yr-old teak plantation (12.10 ton/ha/yr) whereas the lowest MAI was in the 26-yr-old teak plantation (4.31 ton/ha/yr).

Nonlinear vibration of unsymmetrical laminated composite beam on elastic foundation

  • Pakar, I.;Bayat, M.;Cveticanin, L.
    • Steel and Composite Structures
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    • v.26 no.4
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    • pp.453-461
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    • 2018
  • In this paper, nonlinear vibrations of the unsymmetrical laminated composite beam (LCB) on a nonlinear elastic foundation are studied. The governing equation of the problem is derived by using Galerkin method. Two different end conditions are considered: the simple-simple and the clamped-clamped one. The Hamiltonian Approach (HA) method is adopted and applied for solving of the equation of motion. The advantage of the suggested method is that it does not need any linearization of the problem and the obtained approximate solution has a high accuracy. The method is used for frequency calculation. The frequency of the nonlinear system is compared with the frequency of the linear system. The influence of the parameters of the foundation nonlinearity on the frequency of vibration is considered. The differential equation of vibration is solved also numerically. The analytical and numerical results are compared and is concluded that the difference is negligible. In the paper the new method for error estimation of the analytical solution in comparison to the exact one is developed. The method is based on comparison of the calculation energy and the exact energy of the system. For certain numerical data the accuracy of the approximate frequency of vibration is determined by applying of the suggested method of error estimation. Finally, it has been indicated that the proposed Hamiltonian Approach gives enough accurate result.

Continuous Time and Discrete Time State Equation Analysis about Electrical Equivalent Circuit Model for Lithium-Ion Battery (리튬 이온 전지의 전기적 등가 회로에 관한 연속시간 및 이산시간 상태방정식 연구)

  • Han, Seungyun;Park, Jinhyeong;Park, Seongyun;Kim, Seungwoo;Lee, Pyeong-Yeon;Kim, Jonghoon
    • The Transactions of the Korean Institute of Power Electronics
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    • v.25 no.4
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    • pp.303-310
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    • 2020
  • Estimating the accurate internal state of lithium ion batteries to increase their safety and efficiency is crucial. Various algorithms are used to estimate the internal state of a lithium ion battery, such as the extended Kalman filter and sliding mode observer. A state-space model is essential in using algorithms to estimate the internal state of a battery. Two principal methods are used to express the state-space model, namely, continuous time and discrete time. In this work, the extended Kalman filter is employed to estimate the internal state of a battery. Moreover, this work presents and analyzes the estimation performance of algorithms consisting of a continuous time state-space model and a discrete time state-space model through static and dynamic profiles.