• Title/Summary/Keyword: power series equation

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The Effect of Series and Shunt Redundancy on Power Semiconductor Reliability

  • Nozadian, Mohsen Hasan Babayi;Zarbil, Mohammad Shadnam;Abapour, Mehdi
    • Journal of Power Electronics
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    • v.16 no.4
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    • pp.1426-1437
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    • 2016
  • In different industrial and mission oriented applications, redundant or standby semiconductor systems can be implemented to improve the reliability of power electronics equipment. The proper structure for implementation can be one of the redundant or standby structures for series or parallel switches. This selection is determined according to the type and failure rate of the fault. In this paper, the reliability and the mean time to failure (MTTF) for each of the series and parallel configurations in two redundant and standby structures of semiconductor switches have been studied based on different failure rates. The Markov model is used for reliability and MTTF equation acquisitions. According to the different values for the reliability of the series and parallel structures during SC and OC faults, a comprehensive comparison between each of the series and parallel structures for different failure rates will be made. According to the type of fault and the structure of the switches, the reliability of the switches in the redundant structure is higher than that in the other structures. Furthermore, the performance of the proposed series and parallel structures of switches during SC and OC faults, results in an improvement in the reliability of the boost dc/dc converter. These studies aid in choosing a configuration to improve the reliability of power electronics equipment depending on the specifications of the implemented devices.

On a direction in the teaching of differential equations (미분방정식 지도에 대한 소고)

  • Park, Jeanam;Jang, Dongsook
    • Communications of Mathematical Education
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    • v.28 no.3
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    • pp.339-352
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    • 2014
  • In this paper we introduce mathematical modellings in teaching and learning differential equations which were adopted by 2009 revised curriculum. The textbook of 'Advanced Mathematics II' published in 2014 with one publisher includes the content of the second order differential equation y"+y=0 by the power series method. This paper discusses the issue of the power series and gives an alternative method to explain problems of differential equation. Also, we found that the textbook of 'Advanced Mathematics II' used the mechanical system not electrical system in solving differential equation problems. Thus this paper suggests a method using an electric circuit in teaching and learning the first order differential equation. Finally we suggest some terminologies in the teaching and learning of differential equations.

Design Consideration of Half-Bridge LLC Resonant Converter

  • Choi, Hang-Seok
    • Journal of Power Electronics
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    • v.7 no.1
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    • pp.13-20
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    • 2007
  • LLC resonant converters display many advantages over the conventional LC series resonant converter such as narrow frequency variation over wide range of load and input variation and zero voltage switching even under no load conditions. This paper presents analysis and design consideration for the half bridge LLC resonant converter. Using the fundamental approximation, the gain equation is obtained, where the leakage inductance in the transformer secondary side is also considered. Based on the gain equation, the practical design procedure is investigated to optimize the resonant network for a given input/output specifications. The design procedure is verified through an experimental prototype of the 115W half-bridge LLC resonant converter.

New active power filter with low DC voltage for compensation of reactive power and harmonics of high power/voltage load (대용량 고전압 부하의 무효전력 및 고조파 보상을 위한 낮은 DC 전압을 갖는 새로운 능동 파워 필터)

  • 정구호;조규형
    • Proceedings of the KIPE Conference
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    • 1998.07a
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    • pp.291-294
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    • 1998
  • This paper presents a new active power filter with low DC voltage for compensating reactive power and harmonics of three-phase high power/voltage harmonic producing load. It has a structure of converter connected in series with power factor correction capacitor. Appropriate size and number of filter capacitor are determined by an equation and applied to simulation of 10kvar 6-pulse SCR rectifier.

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Blending Surface Modelling Using Sixth Order PDEs

  • You, L.H.;Zhang, Jian J.
    • International Journal of CAD/CAM
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    • v.6 no.1
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    • pp.157-166
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    • 2006
  • In order to model blending surfaces with curvature continuity, in this paper we apply sixth order partial differential equations (PDEs), which are solved with a composite power series based method. The proposed composite power series based approach meets boundary conditions exactly, minimises the errors of the PDEs, and creates almost as accurate blending surfaces as those from the closed form solution that is the most accurate but achievable only for some simple blending problems. Since only a few unknown constants are involved, the proposed method is comparable with the closed form solution in terms of computational efficiency. Moreover, it can be used to construct 3- or 4-sided patches through the satisfaction of continuities along all edges of the patches. Therefore, the developed method is simpler and more efficient than numerical methods, more powerful than the analytical methods, and can be implemented into an effective tool for the generation and manipulation of complex free-form surfaces.

Recursive Short-Term Load Forecasting Using Kalman Filter and Time Series (칼만 필터와 시계열을 이용한 순환단기 부하예측)

  • 박영문;정정주
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.32 no.6
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    • pp.191-198
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    • 1983
  • This paper describes the aplication of different model which can be used for short-term load prediction. The model is based on Bohlin's approach to first develop a load profile model representing the nominal load component and the Box-Jenkins approach is used to predict residuals. An on-line algorithm using Kalman Filter and Time Series is implemented for and hour-ahead prediction. In the Kalman Filter system equation and measurement equation were fixed and parameters of Time Series were varied week after week. A set of data for Korea Electric Power Corporation from April to June 1981 was used for the evaluation of the model. As the result of this simulation 1.2% rms error was acquired.

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The Calculation of Two Dimensional Spatial Profile of Electromagnetic Field for Capacitively Coupled Plasma Source (축전 결합형 플라즈마원에 대한 전자기장의 2차원 공간 의존성 계산)

  • Kim, Y.I.;Yoon, N.S.
    • Journal of the Korean Vacuum Society
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    • v.17 no.5
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    • pp.400-407
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    • 2008
  • In this study, Two dimensional spatial profile of electromagnetic field for capacitively coupled plasma source is calculated. Based on one dimensional fluid equation, spatial profile for the axial direction of electric field and conduction current density is firstly calculated. The two dimensional spatial profile for the electromagnetic field is calculated from solution of Maxwell equation that is expanded to power series for ${\omega}r/c$ into the radial direction.

Study of the Applicability of the Carson Line Model for the Series Reactance Calculation of the Power Feeding Lines with no Ground Return (전송로의 직렬리앤턴스 산정 시 Carson 모델의 적용범위 검토)

  • Chung, Sang-Gi;Kwon, Sam-Young;Chang, Sang-Hoon;Jang, Dong-Uk
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.58 no.2
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    • pp.225-231
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    • 2009
  • In this paper, it is shown that Carson's equation can still be applied for the calculation of the series reactance of transmission lines with no ground return current as well as the one with ground return. It is proved in the following method. First two voltage drop equations for three-phase three wire transmission line are derived, one without considering ground return and the other using Carson's equation. The impedance matrix of the two equations are different from each other. But if we put the condition of zero ground current, $I_a+I_b+I_c=0$, those two equations becomes the identical equations. Therefore even a transmission line is not grounded, its line parameters can still be obtained using the Carson's equation. It has been confused whether or not Carson's equation can be used for an ungrounded system. It is because where ever Carson's equation is shown in the book, it also says that the system has ground return current paths as a premise. It is also verified with EMTP studies on the test circuit.

Applicability Study of the Carson Model for the calculation of the series inductance of the power feeding lines in AC traction system (AC 전기철도 급전선 선로정수 산정시 Carson 모델 적용 검토)

  • Chung, Sang-Gi;Kwon, Sam-Young;Chang, Sang-Hoon;Chang, Dong-Uk
    • Proceedings of the KSR Conference
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    • 2008.11b
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    • pp.169-178
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    • 2008
  • In this paper, it is shown that Carson's equation can still be applied for the calculation of the series reactance of transmission lines with no ground return current as well as the one with ground return. It is proved in the following method. First two voltage drop equations for three-phase three wire transmission line are derived, one without considering ground return and the other using Carson's equation. The impedance matrix of the two equations are different from each other. But if we put the condition of zero ground current, $I_a+I_b+I_c=0$, those two equations becomes the identical equations. Therefore even a transmission line is not grounded, its line parameters can still be obtained using the Carson's equation. It has been confused whether or not Carson's equation can be used for an ungrounded system. It is because where ever Carson's equation is shown in the book, it also says that the system has ground return current paths as a premise. It is also verified with EMTP studies on the test circuit.

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A Fast Parameter Estimation of Time Series Data Using Discrete Fourier Transform (이산푸리에변환과 시계열데이터의 고속 파라미터 추정)

  • Shim, Kwan-Shik;Nam, Hae-Kon
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.55 no.7
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    • pp.265-272
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    • 2006
  • This paper describes a method of parameter estimation of time series data using discrete Fourier transform(DFT). DFT have been mainly used to precisely and rapidly obtain the frequency of a signal. In a dynamic system, a real part of a mode used to learn damping characteristics is a more important factor than the frequency of the mode. The parameter estimation method of this paper can directly estimate modes and parameters, indicating the characteristics of a dynamic system, on the basis of the Fourier transform of the time series data. Real part of a mode estimates by subtracting a frequency of the Fourier spectrum corresponding to 0.707 of a magnitude of the peak spectrum from a peak frequency, or subtracting a frequency of the power spectrum corresponding to 0.5 of the peak power spectrum from a peak frequency, or comparing the Fourier(power) spectrum ratio. Also, the residue and phase of time signal calculate by simple equation with the real part of the mode and the power spectrum that have been calculated. Accordingly, the proposed algorithm is advantageous in that it can estimate parameters of the system through a single DFT without repeatedly calculating a DFT, thus shortening the time required to estimate the parameters.