• Title/Summary/Keyword: mathematical performances

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Integrated Design of Feed Drive Systems Using Discrete 2-D.O.F. Controllers (II) -Formulation and Synthesis of Integrated Design- (이산형 2자유도 제어기를 이용한 이송계의 통합설계 (II) -통합설계의 정식화와 해석-)

  • Kim, Min-Seok;Chung, Sung-Chong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.7
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    • pp.1038-1046
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    • 2004
  • In order to acquire high-speed and high-precision performances in servomechanisms, an integrated design method have been proposed. Based on strict mathematical modeling and analysis of system performance according to design and operating parameters, a nonlinear constrained optimization problem including the relevant subsystem parameters of the servomechanism is formulated. Optimum design results of mechanical and electrical parameters are obtained according to the design parameters specified by designers through the integrated design processes. Motors are optimally selected from the servo motor database. Both the geometric errors referring to Abbe offset and the contour errors are minimized while required constraints such as stability conditions and saturated conditions are satisfied. This design methodology both offers the improved possibility to evaluate and optimize the dynamic motion performance of the servomechanism and improves the quality of the design process to achieve the required performance for high-speed/precision servomechanisms.

Development of Nonlinear Control Algorithm for Automatic Berthing of Ships

  • Won, Moon-Cheol;Hong, Seong-Kuk;Jung, Yun-Ha;Kim, Sun-Young;Son, Nam-Sun;Yoon, Hyun-Gyu
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2006.11a
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    • pp.359-362
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    • 2006
  • This study develops an automatic berthing control algorithm for ships with a bow thruster and a stern thruster as well as a rudder. A nonlinear mathematical model for low speed maneuvering of ships is used to develop a MIMO(multi-input multi-output) nonlinear control algorithm. The algorithm consists of two parts, which are forward velocity control and heading angle control. The control algorithm is designed based on the longitudinal and yaw dynamic models of ships. The desired heading angle is obtained by the so called "Line of Sight" method. An optimal control force allocation method of the rudder and the thrusters is suggested. The nonlinear control algorithms are tested by numerical simulations using MATLAB, and shows good tracking performances.

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A Multi-Objective Differential Evolution for Just-In-Time Door Assignment and Truck Scheduling in Multi-door Cross Docking Problems

  • Wisittipanich, Warisa;Hengmeechai, Piya
    • Industrial Engineering and Management Systems
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    • v.14 no.3
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    • pp.299-311
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    • 2015
  • Nowadays, the distribution centres aim to reduce costs by reducing inventory and timely shipment. Cross docking is a logistics strategy in which products delivered to a distribution centre by inbound trucks are directly unloaded and transferred to outbound trucks with minimum warehouse storage. Moreover, on-time delivery in a distribution network becomes very crucial especially when several distribution centres and customers are involved. Therefore, an efficient truck scheduling is needed to synchronize the delivery throughout the network in order to satisfy all stake-holders. This paper presents a mathematical model of a mixed integer programming for door assignment and truck scheduling in a multiple inbound and outbound doors cross docking problem according to Just-In-Time concept. The objective is to find the schedule of transhipment operations to simultaneously minimize the total earliness and total tardiness of trucks. Then, a multi-objective differential evolution (MODE) is proposed with an encoding scheme and four decoding strategies, called ITSH, ITDD, OTSH and OTDD, to find a Pareto frontier for the multi-door cross docking problems. The performances of MODE are evaluated using 15 generated instances. The numerical experiments demonstrate that the proposed algorithm is capable of finding a set of diverse and high quality non-dominated solutions.

Optimal Design of Tire Sidewall Contours for Improving Maneuverability and Durability (조정성과 내구성 향상을 위한 타이어 측벽형상 최적설계)

  • Jo, Jin-Rae;Jeong, Hyeon-Seong;Lee, Hong-U;Kim, Nam-Jeon;Kim, Gi-Un
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.10
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    • pp.1636-1643
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    • 2001
  • Automobile maneuverability and tire durability are significantly influenced by the sidewall tire contour. In order to improve these tire performances, it is very important far one to determine a sidewall contour producing the ideal tension and strain-energy distributions. However, these requirements can nut be simultaneously achieved by conventional non-interactive multi-objective optimization methods based on mathematical programming, because these exhibit the conflicting behavior each other, with respect lo the sidewall contour. Therefore, we execute the tire contour optimization fur improving the maneuverability and the tire durability using satisficing trade-off method.

Receding Horizon Control of a Parallel Hybrid Electric Vehicle (병렬형 하이브리드 차량의 동적 구간 제어)

  • Jean, Soon-Il;Kim, Ki-Back;Jo, Sung-Tae;Park, Yeong-Il;Lee, Jang-Moo
    • Proceedings of the KSME Conference
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    • 2000.11a
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    • pp.659-664
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    • 2000
  • Fuel-consumption and catalyst-out emissions of a parallel hybrid electric vehicle are affected by operating region of an engine. In many researches, It is generally known that it is profitable in fuel- consumption to operate engine in OOL(Optimal Operating Line). We established the mathematical model of a parallel hybrid electric vehicle, which is linear time-invariant. To operate an engine in OOL, we applied RHC(Receding Horizon Control) to the driving control of a parallel hybrid electric vehicle. And it is known that the RHC has advantages such as good tracking performance under state and control constraints. This RHC is obtained by using linear matrix inequality (LMI) optimization. In this paper, there are three main topics. First, without state and control constraints, the optimal tracking of OOL was simulated. Second, with state and control constraints by engine and motor performances, the optimal tracking of OOL was simulated. In the last, we studied on the optimal gear ratio. That is to say, we combined the RHC and the iterative simulation to extract the optimal gear ratio. In this simulation, the vehicle is commanded to track the reference vehicle trajectory and the engine is operated in the optimal operating region which is made by the state constraints.

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COMPARISON OF DIFFERENT NUMERICAL SCHEMES FOR THE CAHN-HILLIARD EQUATION

  • Lee, Seunggyu;Lee, Chaeyoung;Lee, Hyun Geun;Kim, Junseok
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.17 no.3
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    • pp.197-207
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    • 2013
  • The Cahn-Hilliard equation was proposed as a phenomenological model for describing the process of phase separation of a binary alloy. The equation has been applied to many physical applications such as amorphological instability caused by elastic non-equilibrium, image inpainting, two- and three-phase fluid flow, phase separation, flow visualization and the formation of the quantum dots. To solve the Cahn-Hillard equation, many numerical methods have been proposed such as the explicit Euler's, the implicit Euler's, the Crank-Nicolson, the semi-implicit Euler's, the linearly stabilized splitting and the non-linearly stabilized splitting schemes. In this paper, we investigate each scheme in finite-difference schemes by comparing their performances, especially stability and efficiency. Except the explicit Euler's method, we use the fast solver which is called a multigrid method. Our numerical investigation shows that the linearly stabilized stabilized splitting scheme is not unconditionally gradient stable in time unlike the known result. And the Crank-Nicolson scheme is accurate but unstable in time, whereas the non-linearly stabilized splitting scheme has advantage over other schemes on the time step restriction.

Improvement on the Laminated Busbar of NPC Three-Level Inverters based on a Supersymmetric Mirror Circulation 3D Cubical Thermal Model

  • He, Feng-You;Xu, Shi-Zhou;Geng, Cheng-Fei
    • Journal of Power Electronics
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    • v.16 no.6
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    • pp.2085-2098
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    • 2016
  • Laminated busbars with a low stray inductance are widely used in NPC three-level inverters, even though some of them have poor performances in heat equilibrium and overvoltage suppression. Therefore, a theoretical method is in need to establish an accurate mathematical model of laminated busbars and to calculate the impedance and stray inductance of each commutation loop to improve the heat equilibrium and overvoltage suppression performance. Firstly, an equivalent circuit of a NPC three-level inverter laminated busbar was built with an analysis of the commutation processes. Secondly, on the basis of a 3D (three dimensional) cubical thermal model and mirror circulation theory, a supersymmetric mirror circulation 3D cubical thermal model was built. Based on this, the laminated busbar was decomposed in 3D space to calculate the equivalent resistance and stray inductance in each commutation loop. Finally, the model and analysis results were put into a busbar design, simulation and experiments, whose results demonstrate the accuracy and feasibility of the proposed method.

Performance Characteristics Analysis of Combined Cycle Using Regenerative Organic Rankine Cycle and LNG Cold Energy (LNG 냉열과 재생 유기 랭킨 사이클을 이용한 복합 사이클의 성능 특성 해석)

  • KIM, KYOUNG HOON;JUNG, YOUNG GUAN;HAN, CHUL HO
    • Transactions of the Korean hydrogen and new energy society
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    • v.31 no.2
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    • pp.234-241
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    • 2020
  • This paper presents a thermodynamic performance analysis of a combined cycle consisting of regenerative organic Rankine cycle (ORC) and liquefied natural gas (LNG) Rankine cycle to recover low-grade heat source and the cold energy of LNG. The mathematical models are developed and the system performances are analyzed in the aspect of thermodynamics. The effects of the turbine inlet pressure and the working fluid on the system performance such as the mass flow rates, heat transfers at heat exchangers, power productions at turbines, and thermal efficiency are systematically investigated. The results show that the thermodynamic performance of ORC such as net power production and thermal efficiency can be significantly improved by the regenerative ORC and the LNG cold energy.

Determination of Development Strategy for a Pepper Harvester (고추수확기의 개발방향 설정)

  • 이종호;박승제;김철수;이중용;김명호;김용현
    • Journal of Biosystems Engineering
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    • v.20 no.1
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    • pp.22-35
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    • 1995
  • Pepper is the most important horticultural plant in Korean farm. Pepper harvesting has been known to be the most difficult process in pepper cultivation so that demand for mechanization is strong. In a research to develop a pepper harvesting machine performance and capacity of the harvester should be determined based on both economical feasibility and machine design concept. In order to accomplish an economical analysis of the pepper harvester, a mathematical model for comparing manual harvesting cost to machine harvest cost was developed. Validity of the model depends on the data used in the model. Economical information for the model variables was acquired from the result of farm survey on pepper cultivation technique and economics of pepper farmer. Technical information on pepper harvester were also collected through literature review and analyzed. Based on the economical analysis and synthesis of the technical information on pepper harvesters, its performance and capacity were determined. The operating performances of the harvester such as cutting, conveying, flipping, pepper removing and post-processing (sorting) were determined. Daisy capacity of the machine was determined to be 0.41 ha. A pepper harvester with the suggested capacity was economically feasible if the price of pepper harvester, pepper recovery ratio and service life of harvester were about 6 million won, 80%, and 4 years, respectively.

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Air-gap Control According to Y and Delta Connections of Double-sided Air-gap Permanent Magnet Synchronous Motor with Independent Three-phase Structure (독립 3상 구조를 갖는 이중공극형 영구자석 동기전동기의 Y 및 Delta 결선에 따른 공극제어)

  • Heo, Chan-Nyeong;Hwang, Seon-Hwan
    • The Transactions of the Korean Institute of Power Electronics
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    • v.22 no.3
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    • pp.249-255
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    • 2017
  • This paper presents air-gap control according to Y and Delta connections of a double-sided air-gap permanent magnet synchronous motor (DA-PMSM) with independent three-phase structure. In particular, the DA-PMSM used in this study can be applied to low-speed and high-torque applications, such as wind turbines, tidal power generations, and electric propulsion ships, because of its modular stators and a rotor with numerous permanent magnets. Unlike conventional three-phase machines, the DA-PMSM has a symmetrical configuration with double-sided air-gap. Therefore, Y/Delta winding connections and serial/parallel configurations between stator modules are possible. To identify the DA-PMSM operating characteristics, mathematical modeling is analyzed according to the Y/Delta connections. Moreover, air-gap control performances by applying the winding connection methods are verified through experimental results.