• Title/Summary/Keyword: Mathematic model

Search Result 85, Processing Time 0.028 seconds

A simulation study for the approximate confidence intervals of hypergeometric parameter by using actual coverage probability (실제포함확률을 이용한 초기하분포 모수의 근사신뢰구간 추정에 관한 모의실험 연구)

  • Kim, Dae-Hak
    • Journal of the Korean Data and Information Science Society
    • /
    • v.22 no.6
    • /
    • pp.1175-1182
    • /
    • 2011
  • In this paper, properties of exact confidence interval and some approximate confidence intervals of hyper-geometric parameter, that is the probability of success p in the population is discussed. Usually, binomial distribution is a well known discrete distribution with abundant usage. Hypergeometric distribution frequently replaces a binomial distribution when it is desirable to make allowance for the finiteness of the population size. For example, an application of the hypergeometric distribution arises in describing a probability model for the number of children attacked by an infectious disease, when a fixed number of them are exposed to it. Exact confidence interval estimation of hypergeometric parameter is reviewed. We consider the approximation of hypergeometirc distribution to the binomial and normal distribution respectively. Approximate confidence intervals based on these approximation are also adequately discussed. The performance of exact confidence interval estimates and approximate confidence intervals of hypergeometric parameter is compared in terms of actual coverage probability by small sample Monte Carlo simulation.

A Sensorless Rotor Position Estimation Scheme for IPMSM Using HF Signal Injection with Frequency and Amplitude Optimization

  • Lu, Jiadong;Liu, Jinglin;Hu, Yihua;Zhang, Xiaokang;Ni, Kai;Si, Jikai
    • Journal of Electrical Engineering and Technology
    • /
    • v.13 no.5
    • /
    • pp.1945-1955
    • /
    • 2018
  • High frequency signal injection (HFI) is an alternative method for estimating rotor position of interior permanent magnet synchronous motor (IPMSM). The general method of frequency and amplitude selection is based on error tolerance and experiments, and is usually set with only one group of HF parameters, which is not efficient for different working modes. This paper proposes a novel rotor position estimation scheme by HFI with optimized frequency and amplitude, based on the mathematic model of IPMSM. The requirements for standstill and low-speed operational modes are met by applying this novel scheme. Additionally, the effects of the frequency and amplitude of the injected HF signal on the position estimation results under different operating conditions are analyzed. Furthermore, an optimization method for HF parameter selection is proposed to make the estimation process more efficient under different working conditions according to error tolerance. The effectiveness of the propose scheme is verified by the experiments on an IPMSM motor prototype.

Automatic Control for Ship Automatic Collision Avoidance Support (선박자동충돌회피지원을 위한 자동제어)

  • 임남균
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
    • /
    • 2003.05a
    • /
    • pp.81-86
    • /
    • 2003
  • The studies on automatic ship collision avoidance system, which have been carried out last 10 years, are facing on new situation due to newly developed high technology such as computer and other information system. It was almost impossible to make it used in real navigation 3-4 years ago because of the absence of the tool to get other ship's information, however recently developed technology suggests new possibility. This study is carried out to develop the algorithm of automatic ship collision support system. The NOMOTO ship's mathematic model is adopted in simulation for its simplicity. The fuzzy reason rules are used for course-keeping system and for the calculation of Collision Risk using TCPA/DCPA. Moreover‘encounter type’ between two ships is analyzed based on Regulations for Preventing Collisions at Sea and collision avoidance action is suggested, Some situations are simulated to verity the developed algorithm and appropriate avoidance action is shown in the simulation.

  • PDF

Design and Realization of a Digital PV Simulator with a Push-Pull Forward Circuit

  • Zhang, Jike;Wang, Shengtie;Wang, Zhihe;Tian, Lixin
    • Journal of Power Electronics
    • /
    • v.14 no.3
    • /
    • pp.444-457
    • /
    • 2014
  • This paper presents the design and realization of a digital PV simulator with a Push-Pull Forward (PPF) circuit based on the principle of modular hardware and configurable software. A PPF circuit is chosen as the main circuit to restrain the magnetic biasing of the core for a DC-DC converter and to reduce the spike of the turn-off voltage across every switch. Control and I/O interface based on a personal computer (PC) and multifunction data acquisition card, can conveniently achieve the data acquisition and configuration of the control algorithm and interface due to the abundant software resources of computers. In addition, the control program developed in Matlab/Simulink can conveniently construct and adjust both the models and parameters. It can also run in real-time under the external mode of Simulink by loading the modules of the Real-Time Windows Target. The mathematic models of the Push-Pull Forward circuit and the digital PV simulator are established in this paper by the state-space averaging method. The pole-zero cancellation technique is employed and then its controller parameters are systematically designed based on the performance analysis of the root loci of the closed current loop with $k_i$ and $R_L$ as variables. A fuzzy PI controller based on the Takagi-Sugeno fuzzy model is applied to regulate the controller parameters self-adaptively according to the change of $R_L$ and the operating point of the PV simulator to match the controller parameters with $R_L$. The stationary and dynamic performances of the PV simulator are tested by experiments, and the experimental results show that the PV simulator has the merits of a wide effective working range, high steady-state accuracy and good dynamic performances.

Automatic Control for Ship Collision Avoidance Support System (선박충돌회피지원 시스템을 위한 자동제어)

  • Im, Nam-Kyun
    • Journal of Navigation and Port Research
    • /
    • v.27 no.4
    • /
    • pp.375-381
    • /
    • 2003
  • The studies on automatic ship collision avoidance system, which have been carried out last 10 years, are facing on new situation due to newly developed high technology such as computer and other information system. It was almost impossible to make it used in real navigation 3-4 years ago because of the absence of the tool to get other ship's information, however recently developed technology suggests new possibility. This study is carried out to develop the algorithm of automatic ship collision support system. The NOMOTO ship's mathematic model is adopted in simulation for its simplicity. The fuzzy reason rules are used for course-keeping system and for the calculation of Collision Risk using TCPA/DCPA. Moreover ‘encounter type’ between two ships is analyzed based on Regulations for Preventing Collisions at Sea and collision avoidance action is suggested. Some situations are simulated to verity the developed algorithm and appropriate avoidance action is shown in the simulation.

Parameter Optimization of the Marine Gyrocompass Follow-up System (자이로콤파스 추종계통의 최적조정)

  • 이상집
    • Journal of the Korean Institute of Navigation
    • /
    • v.5 no.2
    • /
    • pp.49-58
    • /
    • 1981
  • One of the main purposes of the marine gyrocompass follow-up system is to preserve the sensitive part from the wandering error due to the frictional or torsional torque around the vertical axis. This error can be diminished through the rapid follow-up action, which minimizes the relative azimuthal angular displacement between the sensitive and follow-up parts and shortens the duration of the same displacement. But an excessive rapidity of the follow-up action would result in a sustained oscillation to the system. Therefore, to design a new type of the follow-up system, the theoretical annlysis of the problems concerned should be studied systematically by introducing the control theory. This paper suggest a concrete procedure for the optimal adjustment of the gyrocompass follow-up system, utilizing the mathematic model and the stability informations formerly investiaged by the author. For theoptimal determination of the adjustable paramfter K, the performance index(P.I.), ITSE(Intergral of the Time multiplied by the Squared Error) is proposed, namely, P.I. = $\int_{0}^{\infty} t \cdot e^{2}(t)dt$ where t is time and e(t) means control error. Then, the optimal parameter minimizing the performance index is calculated by means of Parseval's theorem and numerical computation, and the validity of the obtained optimal value of the parameter Ka is examined and confirmed through the simulations and experiments. By using, the proposed method, the optimal adjustment can be performed deterministically. But, this can not be expected in the conventional frequency domain analysis. While the Mps of the original system vary to the extent of from 0.98 to 46.27, Mp of the optimal system is evaluated as 1.1 which satisfies the generally accepted frequency domain specification.

  • PDF

Real-time Parallel Processing Simulator for Modeling Portable Missile System and Performance Analysis (휴대용 유도탄 체계의 모델링과 성능분석을 위한 실시간 병렬처리 시뮬레이터)

  • Kim Byeong-Moon;Jung Soon-Key
    • Journal of the Korea Society of Computer and Information
    • /
    • v.11 no.4 s.42
    • /
    • pp.35-45
    • /
    • 2006
  • RIn this paper. we describe real-time parallel processing simulator developed for the use of performance analysis of rolling missiles. The real-time parallel processing simulator developed here consists of seeker emulator generating infrared image signal on aircraft, real-time computer, host computer, system unit, and actual equipments such as auto-pilot processor and seeker processor. Software is developed according to the design requirements of mathematic model, 6 degree-of-freedom module, aerodynamic module which are resided in real-time computer. and graphic user interface program resided in host computer. The real-time computer consists of six TI C-40 processors connected in parallel. The seeker emulator is designed by using analog circuits coupled with mechanical equipments. The system unit provides interface function to match impedance between the components and processes very small electrical signals. Also real launch unit of missiles is interfaced to simulator through system unit. In order to use the real-time parallel processing simulator developed here as a performance analysis equipment for rolling missiles, we perform verification test through experimental results in the field.

  • PDF

SEM-CT: Comparison of Problem Solving Processes in Science(S), Engineering(E), Mathematic(M), and Computational Thinking(CT) (SEM-CT: 과학(S), 공학(E), 수학(M)적 문제해결과정과 컴퓨팅 사고(CT))

  • Nam, Younkyeong;Yoon, JinA;Han, KeumJoo;Jeong, JuHun
    • The Journal of Korean Association of Computer Education
    • /
    • v.22 no.3
    • /
    • pp.37-54
    • /
    • 2019
  • The main purpose of STEM education is to understand methods of inquiry in each discipline to develop convergent problem solving skills. To do this, we must first understand the problem-solving process that is regarded as an essential component of each discipline. The purposes of this study is to understand the relationship between the problem solving in science (S), engineering (E), mathematics (M), and computational thinking (CT) based on the comparative analysis of problem solving processes in each SEM discipline. To do so, first, the problem solving process of each SEM and CT discipline is compared and analyzed, and their commonalities and differences are described. Next, we divided the CT into the instrumental and thinking skill aspects and describe how CT's problem solving process differs from SEM's. Finally we suggest a model to explain the relationship between SEM and CT problem solving process. This study shows how SEM and CT can be converged as a problem solving process.

Discrimination of Pasture Spices for Italian Ryegrass, Perennial Ryegrass and Tall Fescue Using Near Infrared Spectroscopy (근적외선분광법을 이용한 이탈리안 라이그라스, 페레니얼 라이그라스,톨 페스큐 종자의 초종 판별)

  • Park, Hyung Soo;Choi, Ki Choon;Kim, Ji Hye;So, Min Jeong;Lee, Ki Won;Lee, Sang Hoon
    • Journal of The Korean Society of Grassland and Forage Science
    • /
    • v.35 no.2
    • /
    • pp.125-130
    • /
    • 2015
  • The objective of this study was to investigate the feasibility of using near infrared spectroscopy (NIRS) to discriminate between grass spices. A combination of NIRS and chemometrics was used to discriminate between Italian ryegrass, perennial ryegrass, and tall fescue seeds. A total of 240 samples were used to develop the best discriminant equation, whereby three spectra range (visible, NIR, and full range) were applied within a 680 nm to 2500 nm wavelength. The calibration equation for the discriminant analysis was developed using partial least square (PLS) regression and discrimination equation (DE) analysis. A PLS discriminant analysis model for the three spectra range that was developed with the mathematic pretreatment "1,8,8,1" successfully discriminated between Italian ryegrass, perennial ryegrass, and tall fescue. An external validation indicated that all of the samples were discriminated correctly. The discriminant accuracy was shown as 68%, 78%, and 73% for Italian ryegrass, perennial ryegrass, and tall fescue, respectively, with the NIR full-range spectra. The results demonstrate the usefulness of the NIRS-chemometrics combination as a rapid method for the discrimination of grass species by seed.

A Study on the Integrated System Implementation of Close Range Digital Photogrammetry Procedures (근거리 수치사진측량 과정의 단일 통합환경 구축에 관한 연구)

  • Yeu, Bock-Mo;Lee, Suk-Kun;Choi, Song-Wook;Kim, Eui-Myoung
    • Journal of Korean Society for Geospatial Information Science
    • /
    • v.7 no.1 s.13
    • /
    • pp.53-63
    • /
    • 1999
  • For the close range digital photogrammetry, multi-step procedures should be embodied in an integrated system. However, it is hard to construct an Integrated system through conventional procedural processing. Using Object Oriented Programming(OOP), photogrammetric processings can be classified with corresponding subjects and it is easy to construct an integrated system lot digital photogrammetry as well as to add the newly developed classes. In this study, the equation of 3-dimensional mathematic model is developed to make an immediate calibration of the CCD camera, the focus distance of which varies according to the distance of the object. Classes for the input and output of images are also generated to carry out the close range digital photogrammetric procedures by OOP. Image matching, coordinate transformation, dirct linear transformation and bundle adjustment are performed by producing classes corresponding to each part of data processing. The bundle adjustment, which adds the principle coordinate and focal length term to the non-photogrammetric CCD camera, is found to increase usability of the CCD camera and the accuracy of object positioning. In conclusion, classes and their hierarchies in the digital photogrammetry are designed to manage multi-step procedures using OOP and close range digital photogrammetric process is implemented using CCD camera in an integrated System.

  • PDF