• 제목/요약/키워드: nonlinear mathematical method

검색결과 553건 처리시간 0.027초

Minimization of a Cogging Torque for an Interior Permanent Magnet Synchronous Machine using a Novel Hybrid Optimization Algorithm

  • Kim, Il-Woo;Woo, Dong-Kyun;Lim, Dong-Kuk;Jung, Sang-Yong;Lee, Cheol-Gyun;Ro, Jong-Suk;Jung, Hyun-Kyo
    • Journal of Electrical Engineering and Technology
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    • 제9권3호
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    • pp.859-865
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    • 2014
  • Optimization of an electric machine is mainly a nonlinear multi-modal problem. For the optimization of the multi-modal problem, many function calls are required with much consumption of time. To address this problem, this paper proposes a novel hybrid algorithm in which function calls are less than conventional methods. Specifically, the proposed method uses the kriging metamodel and the fill-blank technique to find an approximated solution in a whole problem region. To increase the convergence speed in local peaks, a parallel gradient assisted simplex method is proposed and combined with the kriging meta-model. The correctness and usefulness of the proposed hybrid algorithm is verified through a mathematical test function and applied into the practical optimization as the cogging torque minimization for an interior permanent magnet synchronous machine.

A Hybrid Static Compensator for Dynamic Reactive Power Compensation and Harmonic Suppression

  • Yang, Jia-qiang;Yang, Lei;Su, Zi-peng
    • Journal of Power Electronics
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    • 제17권3호
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    • pp.798-810
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    • 2017
  • This paper presents a combined system of a small-capacity inverter and multigroup delta-connected thyristor switched capacitors (TSCs). The system is referred to as a hybrid static compensator (HSC) and has the functions of dynamic reactive power compensation and harmonic suppression. In the proposed topology, the load reactive power is mainly compensated by the TSCs. Meanwhile the inverter is meant to cooperate with TSCs to achieve continuous reactive power compensation, and to filter the harmonics generated by nonlinear loads and the TSCs. First, the structure and mathematical model of the HSC are discussed Then the control method of the HSC is presented. An improved reduced order generalized integrator (ROGI)-based selective current control method is adopted in the inverter to achieve high-performance reactive and harmonic current compensation. Meanwhile, a switch control strategy is proposed to implement precise and fast switching of the TSCs and to avoid changing the time delay needed by the conventional switch strategy. Experiments are implemented on a 20 KVA HSC prototype and the obtained results verify the validity of the proposed HSC system.

내부휜이 부착된 원형관 열교환기의 열/유동 해석 및 최적설계 (Flow/Heat Transfer Analysis and Shape Optimization of a Heat Exchanger with Internally Finned Tube)

  • 이주희;이상환;임효재;박경우
    • 대한기계학회논문집B
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    • 제29권4호
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    • pp.460-468
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    • 2005
  • Analyses of flow and heat transfer characteristics and shape optimization of internally finned circular tubes have been performed for three-dimensional periodically fully developed turbulent flow and heat transfer. CFD and mathematical optimization are coupled in order to optimize the shape of heat exchanger. The design variables such as fin widths $(d_{1},\;d_{2})$ and fin height (h) are numerically optimized by minimizing the pressure loss and maximizing the heat transfer rate for limiting conditions of $d_{1}=0.2\~1.5\;mm,\;d_{2}=0.2\~1.5\;mm,$ and $h=0.2\~1.5mm$. Due to the periodic boundary conditions along main flow direction, the three layers of meshes are considered. The flow and thermal fields are predicted using the finite volume method and the optimization is carried out by means of the sequential quadratic programming (SQP) method which is widely used in the constrained nonlinear optimization problem.

Noise and Fault Diagonois Using Control Theory

  • Park, R. W.;J. S. Kook;S. Cho
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1998년도 제13차 학술회의논문집
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    • pp.301-307
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    • 1998
  • The goal of this paper is to describe an advanced method of the fault diagnois using Control Theory with reference to a crack detection, a new way to localize the crack position under infulence of the plant disturbance and white measurement noise on a rotating shaft. As a first step, the shaft is physically modelled with a finite element method as usual and the dynamic mathematical model is derived from it using the Hamilton - principle and in this way the system is modelled by various subsystems. The equations of motion with crack is established by adaption of the local stiffness change through breathing and gaping from the crack to the equation of motion with un-damaged shaft. This is supposed to be regarded as reference for the given system. Based on the fictitious model of the time behaviour induced from vibration phenomena measured at the bearings, a nonlinear State Observer is designed in order to detect the crack on the shaft. This is elementary NL- observer(EOB). Using the elementary observer, an Estimator(Observer) Bank is established and arranged at the certain position on the shaft. In case a crack is found and its position is known, the procedure for the estimation of the depth is going to begin.

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The stress analysis of a shear wall with matrix displacement method

  • Ergun, Mustafa;Ates, Sevket
    • Structural Engineering and Mechanics
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    • 제53권2호
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    • pp.205-226
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    • 2015
  • Finite element method (FEM) is an effective quantitative method to solve complex engineering problems. The basic idea of FEM for a complex problem is to be able to find a solution by reducing the problem made simple. If mathematical tools are inadequate to obtain precise result, even approximate result, FEM is the only method that can be used for structural analyses. In FEM, the domain is divided into a large number of simple, small and interconnected sub-regions called finite elements. FEM has been used commonly for linear and nonlinear analyses of different types of structures to give us accurate results of plane stress and plane strain problems in civil engineering area. In this paper, FEM is used to investigate stress analysis of a shear wall which is subjected to concentrated loads and fundamental principles of stress analysis of the shear wall are presented by using matrix displacement method in this paper. This study is consisting of two parts. In the first part, the shear wall is discretized with constant strain triangular finite elements and stiffness matrix and load vector which is attained from external effects are calculated for each of finite elements using matrix displacement method. As to second part of the study, finite element analysis of the shear wall is made by ANSYS software program. Results obtained in the second part are presented with tables and graphics, also results of each part is compared with each other, so the performance of the matrix displacement method is demonstrated. The solutions obtained by using the proposed method show excellent agreements with the results of ANSYS. The results show that this method is effective and preferable for the stress analysis of shell structures. Further studies should be carried out to be able to prove the efficiency of the matrix displacement method on the solution of plane stress problems using different types of structures.

비선형 PID 제어기를 이용한 선박용 가스터빈 엔진의 속도 제어 (Speed Control of Marine Gas Turbine Engine using Nonlinear PID Controller)

  • 이윤형;소명옥
    • 한국항해항만학회지
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    • 제39권6호
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    • pp.457-463
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    • 2015
  • 가스터빈 기관은 우주항공, 발전 플랜트뿐만 아니라 해상운송 분야에 사용되는 원동기로서 매우 중요한 역할을 하고 있다. 그러나 그 구조가 복잡하고 연소과정에서 시간지연 요소가 포함되어 있어 가스터빈 기관을 잘 제어할려면 정교한 수학적 모델링이 필요하다. 본 논문에서는 가스터빈 기관의 주요 구성품인 가스발생기, PLA 액추에이터, 미터링 밸브에 대한 모델링 기법을 설명한다. 또한, 가스터빈 기관의 시운전 데이터를 기초로 몇 가지 정상상태 때의 동작점에서 서브모델을 구하고, 각 서브모델에 대해 비선형 비례적분미분 제어기를 설계하여 기관의 속도를 제어하는 방법을 제안한다. 제안하는 비선형 제어기는 비선형 함수로 구현되는 3가지 이득을 사용한다. 비선형 제어기의 파라미터는 제어시스템의 목적함수를 최소화하는 관점에서 실수코딩 유전자알고리즘으로 동조한다. 제안한 방법은 가스터빈 기관에 적용하고 시뮬레이션을 실시하여 그 유효성을 확인한다.

PID 알고리즘을 이용한 역 진자 시스템의 자세 제어에 관한 연구 (A Study on Pose Control for Inverted Pendulum System using PID Algorithm)

  • 강진구
    • 한국정보전자통신기술학회논문지
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    • 제16권6호
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    • pp.400-405
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    • 2023
  • 현재 도립진자는 많은 분야에서 연구 중이며 미사일, 로켓, 등의 자세 제어와 2족 보행 로봇 등에 응용되고 있다. 본 연구에서는 256펄스의 로터리 엔코더와 DC 모터를 이용한 회전형 도립진자(Rotary Inverted Pendulum)를 구성하여 회전형 역 진자의 수직 자세 제어를 연구하였다. 비선형 시스템의 경우 복잡한 알고리즘과 제어기가 필요하지만 고전적이며 비교적 간단한 PID(Proportional Integral Derivation)알고리즘을 이용한 제어 방법을 회전형 도립진자 시스템에 적용하였으며 간단하지만 원하는 성능을 높이는 방안을 연구하였다. 본 연구에서 사용된 회전형 도립진자 시스템은 비선형적이고 불안정한 시스템으로 선형화된 모델링에서 마이크로칩 사의 dsPIC30F4013 임베디드 프로세서를 이용한 PID 제어기를 설계 및 구현하였다. 보통 PID 제어기는 하나 혹은 두 가지 이상을 조합하여 설계하며 우수한 제어 성능에 비해 구조가 간단하며 제어 이득 조정이 다른 제어기들에 비해 비교적 쉽다는 장점이 있다. 본 연구에서는 시스템의 물리적 구조를 수학적 방법으로 분석하고 모델링을 통한 회전형 도립진자의 수직 균형을 위한 제어를 실현하였다. 또한 회전형 역 진자를 이용하여 PID 제어기로 제어가 가능한지 시뮬레이션과 실험을 통하여 그 타당성을 검증하였다.

광자 계수 집적 영상 현미경을 사용한 마이크로 물체의 3차원 시각화와 인식 (Three-Dimensional Visualization and Recognition of Micro-objects using Photon Counting Integral Imaging Microscopy)

  • 조명진;조기옥;신동학
    • 한국정보통신학회논문지
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    • 제19권5호
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    • pp.1207-1212
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    • 2015
  • 본 논문에서는 광자 계수 집적 영상 현미경을 사용하여 광자가 희박한 조건에서 마이크로 물체의 3차원 시각화와 인식에 대한 기술을 제안한다. 제안하는 방법에서는 고해상도의 서로 다른 원근감을 가지는 2차원 영상을 획득하기 위해 합성조리개 집적 영상을 사용한다. 그리고 영상으로부터 광자를 추출하기 위해 광자계수 영상 시스템의 수학적 모델인 포아송 분포를 사용하며 통계적 추정법으로 부터 3차원 영상을 추정한다. 따라서, 광자가 희박한 조건에서 마이크로 물체가 손상되지 않으면서 그에 대한 3차원 영상을 획득하고 시각화할 수 있다. 추가적으로, 비선형 상관 필터를 사용하여 3차원 물체의 인식도 가능하다. 본 기술의 유용성을 증명하기 위해, 광학적 실험을 수행하였다.

스탠드간 간섭현상을 고려한 연속 냉간압연기의 선형모델 규명 (Identification of Linear Model for Tandem Cold Mill Considering Interstand Interference)

  • 김인수;장유신;황이철;주효남;이만형
    • 한국정밀공학회지
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    • 제17권8호
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    • pp.78-86
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    • 2000
  • This study identified a linear time-invariant mathematical model of each stand of a five-stand tandem cold mill. Two model identification methods are applied to construct a linear model of each stand of the tandem cold mill. For the model identification the input-output data that have interstand interference property in tandem cold rolling are obtained from a nonlinear simulator of the tandem cold mill. And a linear model of each stand is identified with N4SD(numerical algorithms for subspace state space system identification) method based on a state-space model and Least Square algorithm based on a transfer function. Furthermore a modeling error of the tandem cold mill is quantitatively analyzed from a maximum singular value plot of error function between an identified nominal model and uncertain model. In conclusion the comparison of the output signals between the existing Taylor linearized model the identified linear model and the nonlinear model of the tandem cold mill shows the accuracy and the applicability of the proposed identified model.

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재난 구호품의 효과적 분배를 위한 혼합정수계획 모형 (A Mixed-Integer Programming Model for Effective Distribution of Relief Supplies in Disaster)

  • 김흥섭
    • 산업경영시스템학회지
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    • 제44권1호
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    • pp.26-36
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    • 2021
  • The topic of this study is the field of humanitarian logistics for disaster response. Many existing studies have revealed that compliance with the golden time in response to a disaster determines the success or failure of relief activities, and logistics costs account for 80% of the disaster response cost. Besides, the agility, responsiveness, and effectiveness of the humanitarian logistics system are emphasized in consideration of the disaster situation's characteristics, such as the urgency of life-saving and rapid environmental changes. In other words, they emphasize the importance of logistics activities in disaster response, which includes the effective and efficient distribution of relief supplies. This study proposes a mathematical model for establishing a transport plan to distribute relief supplies in a disaster situation. To determine vehicles' route and the amount of relief for cities suffering a disaster, it mainly considers the urgency, effectiveness (restoration rate), and uncertainty in the logistics system. The model is initially developed as a mixed-integer nonlinear programming (MINLP) model containing some nonlinear functions and transform into a Mixed-integer linear programming (MILP) model using a logarithmic transformation and piecewise linear approximation method. Furthermore, a minimax problem is suggested to search for breakpoints and slopes to define a piecewise linear function that minimizes the linear approximation error. A numerical experiment is performed to verify the MILP model, and linear approximation error is also analyzed in the experiment.