• 제목/요약/키워드: inverse power method

검색결과 210건 처리시간 0.022초

실습을 통한 수축방법의 효과적인 이해 (Effective Teaching of Deflation using Computer Practice)

  • 이규봉
    • 한국수학교육학회지시리즈E:수학교육논문집
    • /
    • 제20권4호
    • /
    • pp.575-586
    • /
    • 2006
  • Both theory and experiment are very important parts in sciences. Especially in mathematics, theory seems to be very important, but experiment or practice doesn't. Numerical analysis of many parts in mathematics needs practice in computer. In this paper, I suggest that computer-practicing in teaching power method, inverse power method and deflation to calculate eigenvalues and eigenvectors is good in understanding the theory. It also makes students sure that mathematics is helpful.

  • PDF

복합마디방법의 고유치문제에 응용 (An Application of the Multigrid Method to Eigenvalue problems)

  • 이규봉;김성수;성수학
    • 자연과학논문집
    • /
    • 제8권2호
    • /
    • pp.9-11
    • /
    • 1996
  • Dirichlet 경계조건을 갖는 Laplace 고유치방정식의 고유치를 구하는 데 복합마디방법을 이용하였다. 유한차분법을 적용하여 행렬 고유치방정식을 만들고 이 방정식의 고유치를 구하기 위하여 역거듭제곱방법과 전체복합마디법을 사용하였다. 그 결과 고유치를 기존의 방법보다 더욱 빠르게 구할 수 있었다.

  • PDF

전력계통 해석에 유용한 "스파스"행렬법에 관한 연구 (A Study on the Sparse Matrix Method Useful to the Solution of a Large Power System)

  • 한만춘;신명철
    • 전기의세계
    • /
    • 제23권3호
    • /
    • pp.43-52
    • /
    • 1974
  • The matrix inversion is very inefficient for computing direct solutions of the large spare systems of linear equations that arise in many network problems as a large electrical power system. Optimally ordered triangular factorization of sparse matrices is more efficient and offers the other important computational advantages in some applications with this method. The direct solutions are computed from sparse matrix factors instead of a full inverse matrix, thereby gaining a significant advantage is speed and computer memory requirements. In this paper, it is shown that the sparse matrix method is superior to the inverse matrix method to solve the linear equations of large sparse networks. In addition, it is shown that the sparse matrix method is superior to the inverse matrix method to solve the linear equations of large sparse networks. In addition, it is shown that the solutions may be applied directly to sove the load flow in an electrical power system. The result of this study should lead to many aplications including short circuit, transient stability, network reduction, reactive optimization and others.

  • PDF

Pitch Angle Control and Wind Speed Prediction Method Using Inverse Input-Output Relation of a Wind Generation System

  • Hyun, Seung Ho;Wang, Jialong
    • Journal of Electrical Engineering and Technology
    • /
    • 제8권5호
    • /
    • pp.1040-1048
    • /
    • 2013
  • In this paper, a sensorless pitch angle control method for a wind generation system is suggested. One-step-ahead prediction control law is adopted to control the pitch angle of a wind turbine in order for electric output power to track target values. And it is shown that this control scheme using the inverse dynamics of the controlled system enables us to predict current wind speed without an anemometer, to a considerable precision. The inverse input-output of the controlled system is realized by use of an artificial neural network. The proposed control and wind speed prediction method is applied to a Double-Feed Induction Generation system connected to a simple power system through computer simulation to show its effectiveness. The simulation results demonstrate that the suggested method shows better control performances with less control efforts than a conventional Proportional-Integral controller.

스파스벡터법을 위한 서열산법의 최적화 (An Optimization of Ordering Algorithm for Sparse Vector Method)

  • 신명철;이준모
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 1989년도 하계종합학술대회 논문집
    • /
    • pp.189-194
    • /
    • 1989
  • The sparse vector method is more efficient than conventional sparse matrix method when solving sparse system. This paper considers the structural relation between factorized L and inverse of L and presents a new ordering algorithm for sparse vector method. The method is useful in enhancing the sparsity of the inverse of L while preserving the aparsity of matrix. The performance of algorithm is compared with conventional algorithms by means of several power system.

  • PDF

정상상태의 열전달계수 예측을 위한 최적화기법의 열전도 역문제에 관한 연구 (Calculation of Heat Transfer Coefficients by Steady State Inverse Heat Conduction)

  • 조종래;배원병;이부윤
    • Journal of Advanced Marine Engineering and Technology
    • /
    • 제21권5호
    • /
    • pp.549-556
    • /
    • 1997
  • The inverse heat conduction problems is the calculation of surface heat transfer coefficients by utilizing measured temperature. The numerical technique of finite element analysis and optimizition is introduced to calculate temperatures and heat transfer coefficients. The calculated heat transfer coefficients and temperature distribution are good agreement with the results of direct analysis. The inverse method has been applied to the control valve of nuclear power plant.

  • PDF

Parameter estimation of an extended inverse power Lomax distribution with Type I right censored data

  • Hassan, Amal S.;Nassr, Said G.
    • Communications for Statistical Applications and Methods
    • /
    • 제28권2호
    • /
    • pp.99-118
    • /
    • 2021
  • In this paper, we introduce an extended form of the inverse power Lomax model via Marshall-Olkin approach. We call it the Marshall-Olkin inverse power Lomax (MOIPL) distribution. The four- parameter MOIPL distribution is very flexible which contains some former and new models. Vital properties of the MOIPL distribution are affirmed. Maximum likelihood estimators and approximate confidence intervals are considered under Type I censored samples. Maximum likelihood estimates are evaluated according to simulation study. Bayesian estimators as well as Bayesian credible intervals under symmetric loss function are obtained via Markov chain Monte Carlo (MCMC) approach. Finally, the flexibility of the new model is analyzed by means of two real data sets. It is found that the MOIPL model provides closer fits than some other models based on the selected criteria.

Inverse Lemma를 이용한 상태추정 알고리즘의 개선에 관한 연구 (A Study on State Estimation Algorithm in Power System Using Inverse Lemma)

  • 문영현;박정도;박인권
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 1996년도 추계학술대회 논문집 학회본부
    • /
    • pp.182-185
    • /
    • 1996
  • The purpose of slate estimation in power system is to estimate the best-fit Slate variables from the measurements contaminated by various kind of noise. But because the majority of state estimation modules in EMS lack the convergence characteristics, sometimes the desirable outputs can't be obtained. So, in this paper, the new algorithm using the load now output as initial values in the state estimation calculation is proposed to guarantee the convergence. And if the load now outputs were used as the initial values in the calculation, the change in each step would be small compared to the original method using the flat start point. And the Inverse Lemma is used in the algorithm to calculate the new stale in each iteration step for reducing the calculation time. The proposed algorithm was tested on the IEEE 14, 30, 118 bus systems. Eventually, we were able to verity that the differences between the results obtained by the original method and proposed method were relatively small, and the effectiveness of the proposed algorithm increased when applied to the bigger systems.

  • PDF

Power Investigation of the Entropy-Based Test of Fit for Inverse Gaussian Distribution by the Information Discrimination Index

  • Choi, Byungjin
    • Communications for Statistical Applications and Methods
    • /
    • 제19권6호
    • /
    • pp.837-847
    • /
    • 2012
  • Inverse Gaussian distribution is widely used in applications to analyze and model right-skewed data. To assess the appropriateness of the distribution prior to data analysis, Mudholkar and Tian (2002) proposed an entropy-based test of fit. The test is based on the entropy power fraction(EPF) index suggested by Gokhale (1983). The simulation results report that the power of the entropy-based test is superior compared to other goodness-of-fit tests; however, this observation is based on the small-scale simulation results on the standard exponential, Weibull W(1; 2) and lognormal LN(0:5; 1) distributions. A large-scale simulation should be performed against various alternative distributions to evaluate the power of the entropy-based test; however, the use of a theoretical method is more effective to investigate the powers. In this paper, utilizing the information discrimination(ID) index defined by Ehsan et al. (1995) as a mathematical tool, we scrutinize the power of the entropy-based test. The selected alternative distributions are the gamma, Weibull and lognormal distributions, which are widely used in data analysis as an alternative to inverse Gaussian distribution. The study results are provided and an illustrative example is analyzed.