• Title/Summary/Keyword: second-order expansion

Search Result 323, Processing Time 0.031 seconds

Theoretical Study of Positronium Atoms Using Frozen Gaussian-type Geminals

  • Takatsuka, Akio;Ten no, Seiichiro
    • Bulletin of the Korean Chemical Society
    • /
    • v.24 no.6
    • /
    • pp.859-863
    • /
    • 2003
  • We report on the theoretical positron affinities of closed-shell atomic anions. The second-order many-body perturbation theory is applied taking the positron-electron interaction as a perturbation. The corrections for the complete basis set effects to the second order affinity are calculated based on the variational and nonvariational energy functionals of explicitly correlated geminals. It is shown that the explicitly correlated methods accelerate the convergence of the expansion significantly giving the account of the cusp behavior outside the orbital space.

T-S fuzzy PID control based on RCGAs for the automatic steering system of a ship (선박자동조타를 위한 RCGA기반 T-S 퍼지 PID 제어)

  • Yu-Soo LEE;Soon-Kyu HWANG;Jong-Kap AHN
    • Journal of the Korean Society of Fisheries and Ocean Technology
    • /
    • v.59 no.1
    • /
    • pp.44-54
    • /
    • 2023
  • In this study, the second-order Nomoto's nonlinear expansion model was implemented as a Tagaki-Sugeno fuzzy model based on the heading angular velocity to design the automatic steering system of a ship considering nonlinear elements. A Tagaki-Sugeno fuzzy PID controller was designed using the applied fuzzy membership functions from the Tagaki-Sugeno fuzzy model. The linear models and fuzzy membership functions of each operating point of a given nonlinear expansion model were simultaneously tuned using a genetic algorithm. It was confirmed that the implemented Tagaki-Sugeno fuzzy model could accurately describe the given nonlinear expansion model through the Zig-Zag experiment. The optimal parameters of the sub-PID controller for each operating point of the Tagaki-Sugeno fuzzy model were searched using a genetic algorithm. The evaluation function for searching the optimal parameters considered the route extension due to course deviation and the resistance component of the ship by steering. By adding a penalty function to the evaluation function, the performance of the automatic steering system of the ship could be evaluated to track the set course without overshooting when changing the course. It was confirmed that the sub-PID controller for each operating point followed the set course to minimize the evaluation function without overshoot when changing the course. The outputs of the tuned sub-PID controllers were combined in a weighted average method using the membership functions of the Tagaki-Sugeno fuzzy model. The proposed Tagaki-Sugeno fuzzy PID controller was applied to the second-order Nomoto's nonlinear expansion model. As a result of examining the transient response characteristics for the set course change, it was confirmed that the set course tracking was satisfactorily performed.

Active Distribution Network Expansion Planning Considering Distributed Generation Integration and Network Reconfiguration

  • Xing, Haijun;Hong, Shaoyun;Sun, Xin
    • Journal of Electrical Engineering and Technology
    • /
    • v.13 no.2
    • /
    • pp.540-549
    • /
    • 2018
  • This paper proposes the method of active distribution network expansion planning considering distributed generation integration and distribution network reconfiguration. The distribution network reconfiguration is taken as the expansion planning alternative with zero investment cost of the branches. During the process of the reconfiguration in expansion planning, all the branches are taken as the alternative branches. The objective is to minimize the total costs of the distribution network in the planning period. The expansion alternatives such as active management, new lines, new substations, substation expansion and Distributed Generation (DG) installation are considered. Distribution network reconfiguration is a complex mixed-integer nonlinear programming problem, with integration of DGs and active managements, the active distribution network expansion planning considering distribution network reconfiguration becomes much more complex. This paper converts the dual-level expansion model to Second-Order Cone Programming (SOCP) model, which can be solved with commercial solver GUROBI. The proposed model and method are tested on the modified IEEE 33-bus system and Portugal 54-bus system.

Analysis of Inclined Crack Extension in Orthotropic Solids Under Biaxial Loading (2축하중을 받는 직교이방성체내 경사균열진전의 해석)

  • Lim, Won-Kyun;Choi, Seung-Yong
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.26 no.6
    • /
    • pp.993-1000
    • /
    • 2002
  • The objective of this work is to develop the capability to analyze accurately the mixed-mode propagation of a crack in composite structures with elastic orthotropic material stiffness properties and anisotropic material strength characteristics. In order to develop the capability to fully analyze fracture growth and failure in anisotropic structures, we examined the fundamental problem of mixed mode fracture by carrying out the analysis on orthotropic materials with an inclined crack subject to biaxial loading. Our goal here is to include an additional term in the asymptotic expansion of the crack tip stress field and to show that the direction of crack initiation can be significantly affected by that term. We employ the normal stress ratio theory to predict the direction of crack extension. It is shown that the angle of crack extension can be altered by horizontal loads and the use of second order term in the series expansion is important f3r the accurate determination of crack growth direction.

The Effect of Passive Lung Expansion Technique and Active Respiration Enhancement Technique on Lung Function in Healthy Adults (수동폐확장과 능동호흡강화 기법이 건강한 성인 폐기능에 미치는 영향)

  • Lee, Donggin;Lee, Yeonseop
    • Journal of The Korean Society of Integrative Medicine
    • /
    • v.8 no.4
    • /
    • pp.155-161
    • /
    • 2020
  • Purpose : This study was conducted to investigate the effect of positive active pressure technique and active breathing technique on lung function in healthy adults. Methods : In this study, the passive lung expansion technique and active respiration enhancement technique using an air mask bag unit were conducted in 30 normal adults to observe changes in pulmonary function with forced vital capacity (FVC), Forced expiratory volume at one second (FEV1). In order to observe the change in the level of respiratory function, we would like to investigate the peak expiratory flow (PEF) and the forced expiratory flow (FEF 25-75 %). Results : As a result of this study, there was no significant difference in comparison between the passive lung expansion technique and the active breathing enhancement technique (p>.05). The passive lung expansion technique effectively increased the effortful expiratory volume and the median expiratory flow rate of 1 second (p<.05). And the passive lung expansion technique effectively increased the effortless lung capacity and the maximum expiration flow rate (p<.05). Conclusion : The passive lung expansion technique effectively increases the range of motion of the lungs and chest cages, intrathoracic pressure, and elasticity of the lungs, and the active breathing technique increases the muscle functions such as the diaphragm and the biceps muscles. It is expected that it will be able to selectively improve the respiratory function of patients with respiratory diseases or functional limitations as it is found to be effective.

Dynamic Analysis of Expansion in Perlite (퍼라이트팽창의 동적해석)

  • Hahm, Yeong-Min
    • Applied Chemistry for Engineering
    • /
    • v.23 no.2
    • /
    • pp.143-147
    • /
    • 2012
  • Since the expansion of perlite occurs in a few second in high temperature, it is difficult to identify an expansion phenomenon through experiments. In order to explain this phenomenon, a numerical study has been carried out by setting a model that water vapour diffuses to a tiny bubble existing in perlite melts and then makes the bubble grow and perlite expand. When the bubble grew and the perlite expanded due to the diffusion of water vapour, the dynamic temperature of perlite decreased. Meanwhile, the dynamic pressure of bubble increased at the beginning as water vapour diffuses in melts, but rather decreased after a rapid expansion of bubble.

A Fast Poisson Solver of Second-Order Accuracy for Isolated Systems in Three-Dimensional Cartesian and Cylindrical Coordinates

  • Moon, Sanghyuk;Kim, Woong-Tae;Ostriker, Eve C.
    • The Bulletin of The Korean Astronomical Society
    • /
    • v.44 no.1
    • /
    • pp.46.1-46.1
    • /
    • 2019
  • We present an accurate and efficient method to calculate the gravitational potential of an isolated system in three-dimensional Cartesian and cylindrical coordinates subject to vacuum (open) boundary conditions. Our method consists of two parts: an interior solver and a boundary solver. The interior solver adopts an eigenfunction expansion method together with a tridiagonal matrix solver to solve the Poisson equation subject to the zero boundary condition. The boundary solver employs James's method to calculate the boundary potential due to the screening charges required to keep the zero boundary condition for the interior solver. A full computation of gravitational potential requires running the interior solver twice and the boundary solver once. We develop a method to compute the discrete Green's function in cylindrical coordinates, which is an integral part of the James algorithm to maintain second-order accuracy. We implement our method in the {\tt Athena++} magnetohydrodynamics code, and perform various tests to check that our solver is second-order accurate and exhibits good parallel performance.

  • PDF

Changes in Body Surface Lines Caused By Lower Limb Movements in Designing Slacks (II) (슬랙스 설계를 위한 하지동작에 따른 체표선 변화 2)

  • Cho Sung-Hee
    • Korean Journal of Human Ecology
    • /
    • v.7 no.3
    • /
    • pp.35-48
    • /
    • 2004
  • In this study, by determining lower limb movements which cause significant changes in body surface lines, body parts with the greatest maximum expansion and contraction rate respectively were illustrated in descending order. Using unmarried female university students aged 18 - 24 as subjects, a total of 32 body surface categories (15 body surface lines and 17 body surface segment lines) were measured in one static and 9 movement poses. In particular, expansion and contraction levels and rates were measured and used in the analysis. The analysis first involved the calculation of the average measurement per body part in body surface line in static pose as well as of the average expansion and contraction levels and rates in 9 lower limb movements. Two-way MANOVA and multiple comparison analysis (Tukey) were conducted on movements and individual somatotypes regarding measurement per body part and expansion and contraction rates. Movements which cause measurements of body surface lines differed significantly in body surface line in static pose versus in movement were then identified. Among average expansion and contraction rates in such movements, maximum average expansion and contraction levels, maximum average expansion and contraction rate, and classes of expansion and contraction rate were determined per body part. The results of this study are as follows. First, 5 lower limb movements; F2, F5, F6, F7, F8, which caused significant changes in body surface lines were determined and illustrated in table 4. Second, the levels, rates, and classes of expansion and contraction rate per body part are illustrated in Tables 5 and 6. Body parts with the greatest maximum expansion rate were, in descending order: upper segment of center back leg line, upper segment of inner leg line, middle segment of center front leg line, posterior crotch length, anterior knee girth, anterior thigh girth, center back leg line, girth at crotch height, anterior midway thigh girth, hip girth, anterior crotch length, knee girth, waist girth, inner leg line, thigh girth, and crotch length. Those with the greatest maximum contraction rate were, in descending order: anterior crotch length, upper segment of center front leg line, lower segment of center back leg line, center front leg line, and posterior thigh girth. The maximum expansion rates and maximum contraction rates, which ranged from 2.05 to $35.95\%$ and from -0.20 to $-30.16\%$ respectively, were classified per body part into 4 ABCD classes. The body part with maximum expansion was the upper segment of the center back leg line at vertical body surface line, expanding by $35.95\%$ or 16.03cm in F5 flexion movement. In contrast, the body part with maximum contraction was the anterior crotch length at vertical body surface line, contracting by $-30.16\%$ or -10.54cm in F5 flexion movement. Both, however, were the body parts to expand or contract the most among all horizontal and vertical body surface lines.

  • PDF

A SCHWARZ METHOD FOR FOURTH-ORDER SINGULARLY PERTURBED REACTION-DIFFUSION PROBLEM WITH DISCONTINUOUS SOURCE TERM

  • CHANDR, M.;SHANTHI, V.
    • Journal of applied mathematics & informatics
    • /
    • v.34 no.5_6
    • /
    • pp.495-508
    • /
    • 2016
  • A singularly perturbed reaction-diffusion fourth-order ordinary differential equation(ODE) with discontinuous source term is considered. Due to the discontinuity, interior layers also exist. The considered problem is converted into a system of weakly coupled system of two second-order ODEs, one without parameter and another with parameter ε multiplying highest derivatives and suitable boundary conditions. In this paper a computational method for solving this system is presented. A zero-order asymptotic approximation expansion is applied in the second equation. Then, the resulting equation is solved by the numerical method which is constructed. This involves non-overlapping Schwarz method using Shishkin mesh. The computation shows quick convergence and results presented numerically support the theoretical results.

State Estimation and Identification of Nonlinear Systems by Hermitian Expansion of Probability Distributions (Hermite전개법에 의한 비선형계의 상태추정 및 동정에 관한 연구)

  • Kyong Ki Kim
    • 전기의세계
    • /
    • v.22 no.3
    • /
    • pp.49-62
    • /
    • 1973
  • An algorithm for the state estimation and identification of multivariable nonlinear systems with noisy nonlinear observation has been investigated on the basis of the multidimensional Hermitian expansion for the a posteriori probability densities of the predicted observation, the predicted state and the observation conditioned by the state. A new approach for construction of this sequential nonlinear estimator, retaining up to the second order term of the observation error, has been developed, along with the approximation of nonlinear system functions, truncating at the second term. The estimation of the unknown parameters has been established by extending the state estimation technique, regarding the parameters as another state variables. The results of investigation indicate the feasibility of the schemes presented in this paper.

  • PDF