• 제목/요약/키워드: Three-point estimate method

검색결과 106건 처리시간 0.022초

THE ITERATION METHOD OF SOLVING A TYPE OF THREE-POINT BOUNDARY VALUE PROBLEM

  • Liu, Xiping;Jia, Mei
    • Journal of applied mathematics & informatics
    • /
    • 제27권3_4호
    • /
    • pp.475-487
    • /
    • 2009
  • This paper studies the iteration method of solving a type of second-order three-point boundary value problem with non-linear term f, which depends on the first order derivative. By using the upper and lower method, we obtain the sufficient conditions of the existence and uniqueness of solutions. Furthermore, the monotone iterative sequences generated by the method contribute to the minimum solution and the maximum solution. And the error estimate formula is also given under the condition of unique solution. We apply the solving process to a special boundary value problem, and the result is interesting.

  • PDF

A Two-stage Stochastic Programming Model for Optimal Reactive Power Dispatch with High Penetration Level of Wind Generation

  • Cui, Wei;Yan, Wei;Lee, Wei-Jen;Zhao, Xia;Ren, Zhouyang;Wang, Cong
    • Journal of Electrical Engineering and Technology
    • /
    • 제12권1호
    • /
    • pp.53-63
    • /
    • 2017
  • The increasing of wind power penetration level presents challenges in classical optimal reactive power dispatch (ORPD) which is usually formulated as a deterministic optimization problem. This paper proposes a two-stage stochastic programming model for ORPD by considering the uncertainties of wind speed and load in a specified time interval. To avoid the excessive operation, the schedule of compensators will be determined in the first-stage while accounting for the costs of adjusting the compensators (CACs). Under uncertainty effects, on-load tap changer (OLTC) and generator in the second-stage will compensate the mismatch caused by the first-stage decision. The objective of the proposed model is to minimize the sum of CACs and the expected energy loss. The stochastic behavior is formulated by three-point estimate method (TPEM) to convert the stochastic programming into equivalent deterministic problem. A hybrid Genetic Algorithm-Interior Point Method is utilized to solve this large-scale mixed-integer nonlinear stochastic problem. Two case studies on IEEE 14-bus and IEEE 118-bus system are provided to illustrate the effectiveness of the proposed method.

광릉산림에 있어서 서나무군집의 층에 따른 종다양성에 관한 연구 (Species Diversity of a Stratified Hornbeam Community in Kwangneung Forest)

  • 이광석;장남기
    • 아시안잔디학회지
    • /
    • 제9권2호
    • /
    • pp.131-136
    • /
    • 1995
  • The herb, shrub, understory and canopy strata, which arbitrarily delineated by size classes, were sampled separately. The former one were sampled by the pin-point quadrat method. And remaining three by size quadrats, diversity (H= =$\Sigma$ Pi log Pi) of of each stratum was estimated for each set of census data. Species diversity within a stratum was independent of sample plot size above a minimum cumulative area. Diversity based on plotless and plot samples could he determined by the same equation, and by pooling the data needed to estimate diversity of each stratum.

  • PDF

최단거리 최소제곱법을 이용한 측정점군으로부터의 곡면 자동탐색 (Surface Type Detection and Parameter Estimation in Point Cloud by Using Orthogonal Distance Fitting)

  • 안성준
    • 한국CDE학회논문집
    • /
    • 제14권1호
    • /
    • pp.10-17
    • /
    • 2009
  • Surface detection and parameter estimation in point cloud is a relevant subject in CAD/CAM, reverse engineering, computer vision, coordinate metrology and digital factory. In this paper we present a software for a fully automatic surface detection and parameter estimation in unordered, incomplete and error-contaminated point cloud with a large number of data points. The software consists of three algorithmic modules each for object identification, point segmentation, and model fitting, which work interactively. Our newly developed algorithms for orthogonal distance fitting(ODF) play a fundamental role in each of the three modules. The ODF algorithms estimate the model parameters by minimizing the square sum of the shortest distances between the model feature and the measurement points. We demonstrate the performance of the software on a variety of point clouds generated by laser radar, computer tomography, and stripe-projection method.

AR 게임을 위한 위치추정 정확도 향상 알고리즘 (Algorithm to Improve Accuracy of Location Estimation for AR Games)

  • 한서우;서덕영
    • 방송공학회논문지
    • /
    • 제24권1호
    • /
    • pp.32-40
    • /
    • 2019
  • 실내에서 위치를 추정하는 연구는 다양한 분야에서 필요하다. 실내에서 위치를 추정하는 방법은 하드웨어를 이용하는 방법과 하드웨어를 이용하지 않는 방법으로 나눌 수 있다. 하드웨어를 사용하는 방법은 정확도가 높지만, 하드웨어 설치비용이 든다는 단점이 있다. 반대로 하드웨어를 사용하지 않는 방법은 설치비용이 들지 않지만, 정확도가 떨어진다. AR 게임을 위한 위치추정에 제일 중요한 목표는 정확도를 높이는 것이다. 위치를 추정하기 위해서는 Perspective-N-Point (PnP)의 해를 얻어야 한다. PnP 문제의 해를 구하기 위해서는 위치를 추정하고 싶은 공간의 삼차원 좌표와 그 공간에서 찍은 영상이 필요하다. 삼차원 좌표와 매칭 되는 이차원 좌표 6쌍을 통해 위치를 추정할 수 있다. 해의 정확도를 높이기 위해 어떤 점들을 선택하면 정확도가 높아지는지 확인할 비공면도(non-coplanarity degree)를 추가로 사용할 것을 제안했다. 점 6개 이상인 상황에서 비공면도가 커질수록 위치추정 정확도가 높아질 확률이 높다. 제안한 방법의 장점은 모든 기존 위치추정 방법에 적용할 수 있다는 것과 하드웨어를 사용하여 위치를 추정하는 것보다 더 높은 정확도를 보인다.

Extraction of bridge information based on the double-pass double-vehicle technique

  • Zhan, Y.;Au, F.T.K.;Yang, D.
    • Smart Structures and Systems
    • /
    • 제25권6호
    • /
    • pp.679-691
    • /
    • 2020
  • To identify the bridge information from the response of test vehicles passing on it (also known as the indirect approach) has aroused the interest of many researchers thanks to its economy, easy implementation and less disruption to traffic. The surface roughness of bridge remains an obstacle for such method as it contaminates the vehicle response severely and thereby renders many vehicle-response-based bridge identification methods ineffective. This study aims to eliminate such effect with the responses of two different test vehicles. The proposed method can estimate the surface profile of a bridge based on the acceleration data of the vehicles running on the bridge successively, and obtain the normalized contact point response, which proves to be relatively immune to surface roughness. The frequencies and mode shapes of bridge can be further extracted from the normalized contact point acceleration with spectral analysis and Hilbert transform. The effectiveness of the proposed method is verified numerically with a three-span continuous bridge. The influence of measurement noise is also examined.

수정 S-N곡선법을 이용한 용접연결부의 피로수명 추정 (Modified S-N Curve Method to Estimate Fatigue life of Welded Joints)

  • 양박달치;김미경
    • 한국해양공학회지
    • /
    • 제26권2호
    • /
    • pp.26-32
    • /
    • 2012
  • In this paper, the effects of irregular bead shapes on fatigue life were investigated. A modified S-N curve method was used to estimate the fatigue life, which considered the inherent multiaxiality caused by the geometrical feature produced by the welding process. The point method of the critical distance method was used to determine the fatigue effective stress. Three types of fillet joint models were tested in the fatigue experiments. For each model, real bead shapes were collected using a 3D laser scanner, and finite element analyses were performed. The results of the analyses with actual bead shapes were compared with those using an idealized bead shape model. The results of the present analytical methods showed good agreement with the experimental results.

가로교통용량 산정기법에 관한 연구 (A Study on Estimating Techniques of Road Traffic Capacity)

  • 김대웅;임영길
    • 대한교통학회지
    • /
    • 제6권1호
    • /
    • pp.43-53
    • /
    • 1988
  • This study is to find the proper method of estimating urban road traffic capacity. To estimate road traffic capacity, the following methods are chosen ; 1) crossing point of Q-V and S-V, 2) critical velocity and density of Q-V-K model, 3) V-K model with density parameter. The density estimated through S-V relation is 174 veh./km. The methods used in this paper yields more stable values with 2286 veh./h/ in average. The estimated average capacity by three methods are 2272 veh./h. in multilane road. 2411 veh./h in three lane road and 2185 veh./h. in two lane road.

  • PDF

Performance Evaluation of Location Estimation System Using a Non Fixed Single Receiver

  • Myagmar, Enkhzaya;Kwon, Soon-Ryang
    • International Journal of Contents
    • /
    • 제10권4호
    • /
    • pp.69-74
    • /
    • 2014
  • General location aware systems are only applied to indoor and outdoor environments using more than three transmitters to estimate a fixed object location. Those kinds of systems have environmental restrictions that require an already established infrastructure. To solve this problem, an Object Location Estimation (OLE) algorithm based on PTP (Point To Point) communication has been proposed. However, the problem with this method is that deduction of performance parameters is not enough and location estimation is very difficult because of unknown restriction conditions. From experimental tests in this research, we determined that the performance parameters for restriction conditions are a maximum transmission distance of CSS communication and an optimum moving distance interval between personal locations. In this paper, a system applied OLE algorithm based on PTP communication is implemented using a CSS (Chirp Spread Spectrum) communication module. A maximum transmission distance for CSS communication and an optimum moving distance interval between personal locations are then deducted and studied to estimate a fixed object location for generalization.

A two-parameter discrete distribution with a bathtub hazard shape

  • Sarhan, Ammar M.
    • Communications for Statistical Applications and Methods
    • /
    • 제24권1호
    • /
    • pp.15-27
    • /
    • 2017
  • This paper introduces a two-parameter discrete distribution based on a continuous two-parameter bathtub distribution. It is the only two-parameter discrete distribution that shows a bathtub-shaped hazard function. Some statistical properties of the distribution are discussed. Three different methods are used to estimate its two unknown parameters. The point estimators of the parameters have no closed form. The bootstrap method is used to estimate the distributions of these point estimators. Different approximations of the interval estimations for the two-parameters are discussed. Real data sets are analyzed to show how this distribution works in practice. A simulation study is performed to investigate the properties of the estimations obtained and compare their performances.