• Title/Summary/Keyword: mathematic model

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Kinetics of Oil-Proof Agent Adsorption onto Cellulose Fibers

  • Zhu, Hongxiang;Honghu, Zeng;Wang, Shuangfei;Lee, Hak-Lae
    • Journal of Korea Technical Association of The Pulp and Paper Industry
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    • v.41 no.5
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    • pp.59-65
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    • 2009
  • Adsorption of an oil-proof agent (OPA)onto cellulose fibers during the papermaking process was investigated using UV-Vis spectrophotometry by measuring the OPA concentration decrease in the solution. From the calibration curve, the spectrum were converted to chemical concentrations in solution, from which the amount adsorbed onto the fiber surface could be determined. Thus, it was possible to determine the total amount adsorbed onto the fibers and in solution. Using this approach, we studied the adsorption behavior of the OPA onto the fiber surface and derived its, ${\Gamma}^s_t={\Gamma}^s_{\infty}(1-e^{-k_{\alpha}t})$. The values of the parameters kaand ${\Gamma}^s_{\infty}$ were determined using a mathematic model based on a mass transfer equation. Ultimately, a complete was derived: $Q={\alpha}{\cdot}\sum\limits_{i-1}^m{\pi}d_il_i{\cdot}M_A{\cdot}(1-e^{-k_{\alpha}t})/A_N$.

Influence of Parasitic Parameters on Switching Characteristics and Layout Design Considerations of SiC MOSFETs

  • Qin, Haihong;Ma, Ceyu;Zhu, Ziyue;Yan, Yangguang
    • Journal of Power Electronics
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    • v.18 no.4
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    • pp.1255-1267
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    • 2018
  • Parasitic parameters have a larger influence on Silicon Carbide (SiC) devices with an increase of the switching frequency. This limits full utilization of the performance advantages of the low switching losses in high frequency applications. By combining a theoretical analysis with a experimental parametric study, a mathematic model considering the parasitic inductance and parasitic capacitance is developed for the basic switching circuit of a SiC MOSFET. The main factors affecting the switching characteristics are explored. Moreover, a fast-switching double pulse test platform is built to measure the individual influences of each parasitic parameters on the switching characteristics. In addition, guidelines are revealed through experimental results. Due to the limits of the practical layout in the high-speed switching circuits of SiC devices, the matching relations are developed and an optimized layout design method for the parasitic inductance is proposed under a constant length of the switching loop. The design criteria are concluded based on the impact of the parasitic parameters. This provides guidelines for layout design considerations of SiC-based high-speed switching circuits.

Optimization of particle packing by analytical and computer simulation approaches

  • He, Huan;Stroeven, Piet;Stroeven, Martijn;Sluys, Lambertus Johannes
    • Computers and Concrete
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    • v.9 no.2
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    • pp.119-131
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    • 2012
  • Optimum packing of aggregate is an important aspect of mixture design, since porosity may be reduced and strength improved. It may also cause a reduction in paste content and is thus of economic relevance too. Several mathematic packing models have been developed in the literature for optimization of mixture design. However in this study, numerical simulation will be used as the main tool for this purpose. A basic, simple theoretical model is used for approximate assessment of mixture optimization. Calculation and simulation will start from a bimodal mixture that is based on the mono-sized packing experiences. Tri-modal and multi-sized particle packing will then be discussed to find the optimum mixture. This study will demonstrate that computer simulation is a good alternative for mixture design and optimization when appropriate particle shapes are selected. Although primarily focusing on aggregate, optimization of blends of Portland cement and mineral admixtures could basically be approached in a similar way.

A Study on the Calibration Technique of RTD and Thermocouple System (온도교정기 RTD 저항 및 열전대 직류전압 교정기법 연구)

  • Oh, Kwang-suk;Lee, Wangheon
    • Journal of IKEEE
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    • v.20 no.4
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    • pp.439-448
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    • 2016
  • RTDs and thermocouple sensors are broadly used to measure its temperature in industry and research. The contents of this standard calibration procedure(SCP) describe procedures related to the calculation of Electrical Temperature Calibrator and show different ways to indicate the calibration results like the uncertainty in measurement. As of current, SCP of electrical temperature calibrator has not been established yet and we have some inconveniences and difficulties in the standard calibration work. To solve these problems, we have studied the calibration technique for RTD and thermocouple of temperature calibrator. In this paper, we present the mathematic model of its data and variations of measurement with the results of calibration data.

Kinematic Modeling and Analysis of a Toggle Mechanism for Injection Molding Machines (사출성형기를 위한 토글 메카니즘의 기구학적 모델링 및 해석)

  • Cho, Seung Ho;Jon, Yun-Son;Kim, Young Shin;Park, Kyeong Ha
    • Journal of the Korean Society for Precision Engineering
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    • v.30 no.2
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    • pp.216-222
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    • 2013
  • This paper deals with the issue of kinematic modeling and analysis of a toggle mechanism. Based on the mathematic model of a conventional five-point type toggle mechanism. New five-point type toggle mechanism has been analyzed by computer simulation method. A sensitivity ratio has been defined and analyzed to compare its performance with four-point type toggle mechanism. A cycloidal motion has been applied to the cross head as an input and the motion of the moving platen is considered as an output. The effect of link design parameter as well as the type of toggle has been investigated by computer simulation to be available for industrial applications of injection molding machines.

Torque Density Improvement of Five-Phase PMSM Drive for Electric Vehicles Applications

  • Zhao, Pinzhi;Yang, Guijie
    • Journal of Power Electronics
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    • v.11 no.4
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    • pp.401-407
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    • 2011
  • In order to enhance torque density of five-phase permanent magnetic synchronous motor with third harmonic injection for electric vehicles (EVs) applications, optimum seeking method for injection ratio of third harmonic was proposed adopting theoretical derivation and finite element analysis method, under the constraint of same amplitude for current and air-gap flux. By five-dimension space vector decomposition, the mathematic model in two orthogonal space plane, $d_1-q_1$ and $d_3-q_3$, was deduced. And the corresponding dual-plane vector control method was accomplished to independently control fundamental and third harmonic currents in each vector plane. A five-phase PMSM prototype with quasi-trapezoidal flux pattern and its fivephase voltage source inverter were designed. Also, the dual-plane vector control was digitized in a single XC3S1200E FPGA. Simulation and experimental results prove that using the proposed optimum seeking method, the torque density of five-phase PMSM is enhanced by 20%, without any increase of power converter capacity, machine size and iron core saturation.

Characteristics Improvement of a PZT Actuator for Metal Printing (메탈 프린팅용 압전액추에이터의 특성개선)

  • Yun, S.N.;Ham, Y.B.;Kim, C.Y.;Park, P.Y.;Kang, J.H.
    • Journal of Power System Engineering
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    • v.9 no.4
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    • pp.162-167
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    • 2005
  • The purpose of this paper is to improve the hysteresis characteristics of a stack type piezoelectric actuator using system identification and tracking control. Recently, several printing methods that are cost less and faster than previous semiconductor processes have been developed for the production of electric paper and RFID(Radio Frequency IDentification). The system proposed in this study prints by spraying the molten metal. And this system consist of a nozzle, heating furnace, operating actuator and an XYZ 3-axis stage. As an operating system, the piezoelectric(PZT) actuator is a very useful tool for position control of the metal printing system. However, the PZT actuator has a hysteresis nonlinearity due to the ferroelectric characteristics of the PZT element. This hysteresis causes problem position control characteristics in the system and deteriorates the performance of the system. In this study, an investigation was conducted to improve the hysteresis characteristics of the PZT actuator that has an output displacement for the input voltage. In order to reduce the hysteresis nonlinearity of the PZT actuator, this proposed a inverse hysteresis model and a mathematic modeling method that can express the geometric relationship between voltage and displacement. In addition, system identification and PID control methods were examined. Also, it was confirmed that the proposed control strategy gives good tracking performance.

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Modeling and Analysis of V47-660 kW Wind Turbine Generator System in Jeju Wind Farm (제주 풍력발전 단지의 V47-660 kW 시스템의 모델링 및 해석)

  • Kim, Eel-Hwan;Kang, Geong-Bo;Kim, Se-Ho
    • Journal of the Korean Solar Energy Society
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    • v.23 no.3
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    • pp.37-44
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    • 2003
  • This paper presents the modeling and analysis of V47-660 kW wind turbine generation system(WTGS) in Jeju wind farm using Psim program. Generally, WTGS is composed of complicated machinery. So it is very difficult to present the mathematic model. This means that WTGS has a nonlinear system. Using the real output data from V47 WTGS for one year, it is simply possible to express the rotor and gear coupling system as a torque generator according to wind speed. Also, the modeling of electrical system can be able to present using the data sheet from the company. To analyze the proposed method, results of computer simulation using Psim program are presented to support the discussion.

Optimal Switching Frequency in Limited-Cycle with Multiple Periods

  • Sun, Jing;Yamamoto, Hisashi;Matsui, Masayuki;Kong, Xianda
    • Industrial Engineering and Management Systems
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    • v.11 no.1
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    • pp.48-53
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    • 2012
  • Due to the customer needs of reducing cost and delivery date shorting, prompt change in the production plan became more important. In the multi period system (For instance, production line.) where target processing time exists, production, idle and delay risks occur repeatedly for multiple periods. In such situations, delay of one process may influence the delivery date of an entire process. In this paper, we discuss the minimum expected cost of the case mentioned above, where the risk depends on the previous situation and occurs repeatedly for multiple periods. This paper considers the optimal switching frequency to minimize the total expected cost of the production process. In this paper, first, the optimal switching frequency model is proposed. Next, the mathematic formulation of the total expectation is presented. Finally, the policy of optimal switching frequency is investigated by numerical experiments.

A Database Retrieval Model for Efficient Gene Sequence Alignment (효율적인 유전자 서열 비고를 위한 데이타베이스 검색 모델)

  • 김민준;임성화;김재훈;이원태;정진원
    • Journal of KIISE:Databases
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    • v.31 no.3
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    • pp.243-251
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    • 2004
  • Most programs of bioinformatics provide biochemists and biologists retrieve and analysis services of gene and protein database. As these services retrieve database for each arrival of user's request, it takes a long time and increases server's load and response time. In this paper. by utilizing database retrieval patterns of sequence alignment programs in bioinformatics, grouping method is proposed to share database retrieval between many requests. Carpool method is also proposed to reduce response time as well as to increase system expandability by combining new arriving requests with the previous on going requests. The performance of our two proposed schemes is verified by mathematic analysis and simulation.