• Title/Summary/Keyword: Series Expansion

Search Result 687, Processing Time 0.027 seconds

A Output Voltage Linearization in Overmodulation Region of the Space Vector PWM (공간벡터 PWM의 과변조 영역에서 출력전압 선형화)

  • Bae, Jang-Ho;Kim, Yuen-Chung;Won, Chung-Yuen;Choi, Jong-Mook;Gi, Sang-Woo;Bae, Gi-Hun
    • Journal of the Korean Institute of Telematics and Electronics S
    • /
    • v.36S no.11
    • /
    • pp.128-139
    • /
    • 1999
  • This paper proposes a linearization technique for the space vector modulation method, which increases the linear control range of inverter up to the 6-step inverter. This method is based on fourier series expansion of the desired output voltage of the inverter to calculate the compensation angle in continuous switching mode and holding angle in discontinuous switching including the 6-step mode respectively. The approximation equation of these angles are used for compensation of fundamental voltage in overmodulation range. Therefore, it is possible to obtain the linear control and the maximized utilization of PWM inverter output voltage.

  • PDF

Combination resonances in forced vibration of spar-type floating substructure with nonlinear coupled system in heave and pitch motion

  • Choi, Eung-Young;Jeong, Weui-Bong;Cho, Jin-Rae
    • International Journal of Naval Architecture and Ocean Engineering
    • /
    • v.8 no.3
    • /
    • pp.252-261
    • /
    • 2016
  • A spar-type floating substructure that is being widely used for offshore wind power generation is vulnerable to resonance in the heave direction because of its small water plane area. For this reason, the stable dynamic response of this floating structure should be ensured by accurately identifying the resonance characteristics. The purpose of this study is to analyze the characteristics of the combination resonance between the excitation frequency of a regular wave and natural frequencies of the floating substructure. First, the nonlinear equations of motion with two degrees of freedom are derived by assuming that the floating substructure is a rigid body, where the heaving motion and pitching motions are coupled. Moreover, to identify the characteristics of the combination resonance, the nonlinear term in the nonlinear equations is approximated up to the second order using the Taylor series expansion. Furthermore, the validity of the approximate model is confirmed through a comparison with the results of a numerical analysis which is made by applying the commercial software ANSYS AQWA to the full model. The result indicates that the combination resonance occurs at the frequencies of ${\omega}{\pm}{\omega}_5$ and $2{\omega}_{n5}$ between the excitation frequency (${\omega}$) of a regular wave and the natural frequency of the pitching motion (${\omega}_{n5}$) of the floating substructure.

Development of the Integral Concept (from Riemann to Lebesgue) (적분개념의 발달 (리만적분에서 르베그적분으로의 이행을 중심으로))

  • Kim, Kyung-Hwa
    • Journal for History of Mathematics
    • /
    • v.21 no.3
    • /
    • pp.67-96
    • /
    • 2008
  • In the 19th century Fourier and Dirichlet studied the expansion of "arbitrary" functions into the trigonometric series and this led to the development of the Riemann's definition of the integral. Riemann's integral was considered to be of the highest generality and was discussed intensively. As a result, some weak points were found but, at least at the beginning, these were not considered as the criticism of the Riemann's integral. But after Jordan introduced the theory of content and measure-theoretic approach to the concept of the integral, and after Borel developed the Jordan's theory of content to a theory of measure, Lebesgue joined these two concepts together and obtained a new theory of integral, now known as the "Lebesgue integral".

  • PDF

Development of Manufacturing Technology for Aluminum Automotive part with Warm Hydroforming (온간하이드로포밍을 이용한 알루미늄 자동차부품 제조기술 개발)

  • Sohn, S.M.;Lee, M.Y.;Kim, B.J.;Moon, Y.H.;Lee, Y.S.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
    • /
    • 2006.06a
    • /
    • pp.93-98
    • /
    • 2006
  • Warm forming technology was classified into hot gas forming of using compressible fluid as a nitrogen gas and warm hydroforming of using the incompressible fluid as a thermal oil by using medium fluid. In this study, the aluminum side-rail part was developed with warm hydroforming technology. For the warm hydroforming system, top and bottom die was designed to insert heating cartridge in die cavity and special indirect fluid heating system was designed to heat the thermal oil. As increase the temperature, hydroformability was increased linearly. Aluminum side-rail center part was formed 90% at the internal pressure of 100bar and perfectly formed at 300bar within a moderate temperature. The tube material used for warm hydroforming was a aluminum 6000 series alloy with the diameter of 120mm, thickness of 5mm, length of 1,300mm. Warm hydroformed side-rail center part had 20% of maximum expansion ratio and below 20% of maximum thinning ratio at corner radius. This results were provided to show warm hydroforming possibility for aluminum automotive components.

  • PDF

Effect of Subsequent-Annealing Temperature on Surface Properties of Plasma Electrolytic Oxidation-Treated Mg Alloy (플라즈마 전해산화 처리된 마그네슘 합금의 표면 물성에 미치는 후-열처리 온도의 영향)

  • Ko, Y.G.;Kim, Y.M.;NamGung, S.;Shin, D.H.
    • Transactions of Materials Processing
    • /
    • v.18 no.8
    • /
    • pp.625-632
    • /
    • 2009
  • The influence of the subsequent-annealing(SA) temperature on the plasma electrolytic oxidation(PEO)-treated Mgbased alloy was investigated in terms of surface properties associated with hardness and corrosion. For this purpose, a series of the SA treatments were performed on the PEO-treated samples at four different temperatures, i.e., 100, 150, 200, and $250^{\circ}C$ for 10 hrs. When compared to the sample without SA, the samples annealed at temperatures higher than $200^{\circ}C$ showed a difference in surface morphology due to the volume expansion accompanied by the dehydration reaction where the part of $Mg(OH)_2$ changed into MgO, working as harder phase. From the results of nano-indentation tests, the applied loads of the samples were seen to increase with increasing SA temperatures. However, the electro-chemical and corrosion properties of the sample annealed at $150^{\circ}C$ were higher than those of the samples annealed at three temperatures.

Estimation of the Exponential Distributions based on Multiply Progressive Type II Censored Sample

  • Lee, Kyeong-Jun;Park, Chan-Keun;Cho, Young-Seuk
    • Communications for Statistical Applications and Methods
    • /
    • v.19 no.5
    • /
    • pp.697-704
    • /
    • 2012
  • The maximum likelihood(ML) estimation of the scale parameters of an exponential distribution based on progressive Type II censored samples is given. The sample is multiply censored (some middle observations being censored); however, the ML method does not admit explicit solutions. In this paper, we propose multiply progressive Type II censoring. This paper presents the statistical inference on the scale parameter for the exponential distribution when samples are multiply progressive Type II censoring. The scale parameter is estimated by approximate ML methods that use two different Taylor series expansion types ($AMLE_I$, $AMLE_{II}$). We also obtain the maximum likelihood estimator(MLE) of the scale parameter under the proposed multiply progressive Type II censored samples. We compare the estimators in the sense of the mean square error(MSE). The simulation procedure is repeated 10,000 times for the sample size n = 20 and 40 and various censored schemes. The $AMLE_{II}$ is better than MLE and $AMLE_I$ in the sense of the MSE.

A Study on the Disaster Management System (재난관리제체(災難管理體制) 에 관한 연구(硏究) -인위재난관리(人爲災難管理)를 중심(中心)으로-)

  • Chong, Chin-Whan
    • Korean Security Journal
    • /
    • no.1
    • /
    • pp.321-350
    • /
    • 1997
  • This thesis is an attempt to find out ways and means needed to improve the disaster management system in Korea(Chap. Ⅰ). For this purpose, I have first reviewed various crisis management systems of foreign countries such as the United States, England and Japan(Chap. Ⅱ), and also reviewed that of our own country(Chap. Ⅲ). All of us knows that our disaster management system has been reestablished through the enactment of the Disaster Management Act of 1995 and the full revision of Natural Harzards Management Act of 1995 after a series of catastrophic man-made disasters since 1993. I took a general survey of the contents and characteristics of the newly made Disaster Management Act(Chap. Ⅳ), and Finally, as a conclusion of this research(Chap. V), I indicated a few disputed points on the Disaster Management Act and suggested several alternatives to improve our crisis management system. The alternatives suggested are as follows (1) Reinforcement of prevention-centered policy and expansion of investment (2) Specialization of the crisis management man-power and securing the rescue equipment (3) Arrangement of the various lessons on crisis and reinforcement of educational training against the disasters (4) Building the cooperative systems between the civil organizations (5) An opinion towards the issues on the unifying the law systems and reorganizaing the new independent institution for the crisis management

  • PDF

Wave Control by an Array of Porous Dual Cylindrical Structures (투과성 이중 원통구조물 배열에 의한 파랑제어)

  • CHO IL-HYOUNG
    • Journal of Ocean Engineering and Technology
    • /
    • v.18 no.5
    • /
    • pp.7-14
    • /
    • 2004
  • The interaction of incident manochromatic waves with an array of N surface-piercing porous dual cylindrical structures is investigated in the frame of three-dimensional linear potential theory. The dual cylindrical structure is camposed of concentric two cylinders. The exterior cylinder is porous and the interior cylinder is impermeable. The fluid domain is divided into N+1 regions i.e. a single exterior region and N interior regions. The diffraction potentials in each region representing the scattering of incident waves by an array of porous cylindrical structures are expressed by the Fourier Bessel series. The unknown coefficients in each region are determined by applying the porous boundary condition and continuity of mass flux at the matching boundary. It is found that an array of porous cylindrical structures reduces both the wave forces and the wave run-up, and shows the excellent performance of wave blocking. The results show that various types of breakwater exchanging seawater are prospective by controlling the porosity and the configuration of cylindrical structures.

Study of Pr0.3Sr0.7CoxMn(1-x)O3 as the Cathode Materials for Intermediate Temperature SOFC (중.저온형 고체 산화물 연료전지의 공기극 물질로 사용되는 Pr0.3Sr0.7CoxMn(1-x)O3 (x=0, 0.3, 0.5, 0.7, 1)에 관한 연구)

  • Park, Kwang-Jin;Kim, Jung-Hyun;Bae, Joong-Myeon
    • Journal of the Korean Ceramic Society
    • /
    • v.44 no.4 s.299
    • /
    • pp.214-218
    • /
    • 2007
  • The decrease of polarization resistance in cathode is the key point for operating at intermediate temperature SOFC (solid oxide fuel cell). In this study, the influence of Co substitution in B-site at complex perovskite on the electronic conductivity of PSCM ($Pr_{0.3}Sr_{0.7}Co_xMn_{(1-x)}$) was investigated. The PSCM series exhibits excellent MIEC (mixed ionic electronic conductor) properties. The ASR (area specific resistance) of PSCM3773 was $0.174{\Omega}{\cdot}cm^2\;at\;700^{\circ}C$. The activation energy of PSCM3773 was also lower than other compositions of PSCM. The TEC(thermal expansion coefficient) was decreased by addition of Mn. The ASR values were increased gradually during the thermal cycling test of PSCM37773 due to the delamination between electrolyte and cathode materials. The delamination was caused by the difference of TEC.

MAC for MIMO Nonlinear System with Delayed Input (시간지연 MIMO 비선형시스템의 MAC 제어기 설계)

  • Zhang, Yuanliang;Kim, Hong-Chul;Chong, Kil-To
    • Journal of the Institute of Electronics Engineers of Korea SC
    • /
    • v.46 no.2
    • /
    • pp.52-60
    • /
    • 2009
  • This paper proposes a digital controller for a nonlinear multi-input/multi-output(MIMO) system with time-delayed input. A nonlinear system with multi-input time delay is discretized using Taylor's discretization method, and the discretized system can be converted into a general nonlinear system. Consequently, general nonlinear controller synthesis can be applied to the discretized time-delay system We adopted MAC controller synthesis and verified the performance of the proposed method by conducting computer simulations. The results of the simulation showed that the proposed controller synthesis performs well and the proposed method is useful for controlling a nonlinear time-delay system.