• Title/Summary/Keyword: equilibrium point

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Control-to-output Transfer Function of the Open-loop Step-up Converter in CCM Operation

  • Wang, Faqiang;Ma, Xikui
    • Journal of Electrical Engineering and Technology
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    • v.9 no.5
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    • pp.1562-1568
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    • 2014
  • Based on the average method and the geometrical technique to calculate the average value, the average model of the open-loop step-up converter in CCM operation is established. The DC equilibrium point and corresponding small signal model is derived. The control-to-output transfer function is presented and analyzed. The theoretical analysis and PSIM simulations shows that the control-to-output transfer function includes not only the DC input voltage and the DC duty cycle, but also the two inductors, the two energy-transferring capacitors, the switching frequency and the load. Finally, the hardware circuit is designed, and the circuit experimental results are given to confirm the effectiveness of theoretical derivations and analysis.

Using Largest Lyapunov Exponent to Confirm the Intrinsic Stability of Boiling Water Reactors

  • Gavilan-Moreno, Carlos J.;Espinosa-Paredes, Gilberto
    • Nuclear Engineering and Technology
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    • v.48 no.2
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    • pp.434-447
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    • 2016
  • The aim of this paper is the study of instability state of boiling water reactors with a method based in largest Lyapunov exponents (LLEs). Detecting the presence of chaos in a dynamical system is an important problem that is solved by measuring the LLE. Lyapunov exponents quantify the exponential divergence of initially close state-space trajectories and estimate the amount of chaos in a system. This method was applied to a set of signals from several nuclear power plant (NPP) reactors under commercial operating conditions that experienced instabilities events, apparently each of a different nature. Laguna Verde and Forsmark NPPs with in-phase instabilities, and Cofrentes NPP with out-of-phases instability. This study presents the results of intrinsic instability in the boiling water reactors of three NPPs. In the analyzed cases the limit cycle was not reached, which implies that the point of equilibrium exerts influence and attraction on system evolution.

Chaotic response of a double pendulum subjected to follower force (종동력을 받는 진동계의 케이오틱 거동 연구)

  • 이재영;장안배
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1996.10a
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    • pp.295-300
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    • 1996
  • In this study, the dynamic instabilities of a nonlinear elastic system subjected to follower force are investigated. The two-degree-of-freedom double pendulum model with nonlinear geometry, cubic spring, and linear viscous damping is used for the study. The constant and periodic follower forces are considered. The chaotic nature of the system is identified using the standard methods, such as time histories, phase portraits, and Poincare maps, etc.. The responses are chaotic and unpredictable due to the sensitivity to initial conditions. The sensitivities to parameters, such as geometric initial imperfections, magnitude of follower force, and viscous damping, etc. is analysed. The strange attractors in Poincare map have the self-similar fractal geometry. Dynamic buckling loads are computed for various parameters, where the loads are changed drastically for the small change of parameters.

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Network Security Situation Assessment Method Based on Markov Game Model

  • Li, Xi;Lu, Yu;Liu, Sen;Nie, Wei
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.12 no.5
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    • pp.2414-2428
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    • 2018
  • In order to solve the problem that the current network security situation assessment methods just focus on the attack behaviors, this paper proposes a kind of network security situation assessment method based on Markov Decision Process and Game theory. The method takes the Markov Game model as the core, and uses the 4 levels data fusion to realize the evaluation of the network security situation. In this process, the Nash equilibrium point of the game is used to determine the impact on the network security. Experiments show that the results of this method are basically consistent with the expert evaluation data. As the method takes full account of the interaction between the attackers and defenders, it is closer to reality, and can accurately assess network security situation.

THE RULE OF TRAJECTORY STRUCTURE AND GLOBAL ASYMPTOTIC STABILITY FOR A FOURTH-ORDER RATIONAL DIFFERENCE EQUATION

  • Li, Xianyi;Agarwal, Ravi P.
    • Journal of the Korean Mathematical Society
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    • v.44 no.4
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    • pp.787-797
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    • 2007
  • In this paper, the following fourth-order rational difference equation $$x_{n+1}=\frac{{x_n^b}+x_n-2x_{n-3}^b+a}{{x_n^bx_{n-2}+x_{n-3}^b+a}$$, n=0, 1, 2,..., where a, b ${\in}$ [0, ${\infty}$) and the initial values $X_{-3},\;X_{-2},\;X_{-1},\;X_0\;{\in}\;(0,\;{\infty})$, is considered and the rule of its trajectory structure is described clearly out. Mainly, the lengths of positive and negative semicycles of its nontrivial solutions are found to occur periodically with prime period 15. The rule is $1^+,\;1^-,\;1^+,\;4^-,\;3^+,\;1^-,\;2^+,\;2^-$ in a period, by which the positive equilibrium point of the equation is verified to be globally asymptotically stable.

Improved Transfer Functions for Modified Sheppard-Taylor Converter that Operates in CCM: Modeling and Application

  • Wang, Faqiang
    • Journal of Power Electronics
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    • v.17 no.4
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    • pp.884-891
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    • 2017
  • The improved transfer functions of the modified Sheppard-Taylor (MS-T) converter, which is capable of regulating output voltage under a wide range of input voltage and load variations, negligible current ripple, and fewer components in comparison to the Sheppard-Taylor (S-T) converter, operating in continuous conduction mode (CCM) are investigated in this study. Its DC equilibrium point, small signal model, and transfer functions are derived and analyzed. Then, the voltage controller is applied for this MS-T converter. The comparisons between the derived model and the existing model are presented. The hardware circuit is designed and the circuit experiments are provided for validation. The results show that the improved transfer functions of the MS-T converter are more effective and general than the previous ones for describing its real characteristics.

Thermodynamic Incompatibility of Food Macromolecules (식품 거대분자의 열역학적 비혼합성)

  • 황재관;최문정
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.27 no.5
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    • pp.1019-1025
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    • 1998
  • Proteins and polysaccharides are major food macromolecules. Generally, the mixture of these macromolecules can be separated into two phases because of their thermodynamic incompatibility. Phase separ-ation is explained by equilibrium phase diagram, which comprises binodal curve, critical point, phase separation threshold, tie-line and rectilinear diameter. Phase separation of protein-polysacc-haride solution is affected by pH, temperature, ionic strength, molecular weight, molecular structure, etc. Membraneless osmosis has been developed to concentrate protein solutions, using the phase diagram constituted by proteins and polysaccharides. Protein-polysaccharide mixtures are very promising fat mimetics because solution of mixtures forms water-continuous system with two phase-separated gels, which give plastic texture and a fatty mouthfeel.

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Rationally modeling collapse due to bending and external pressure in pipelines

  • Nogueira, Andre C.
    • Earthquakes and Structures
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    • v.3 no.3_4
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    • pp.473-494
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    • 2012
  • The capacity of pipelines to resist collapse under external pressure and bending moment is a major aspect of deepwater pipeline design. Existing design codes present interaction equations that quantify pipeline capacities under such loadings, although reasonably accurate, are based on empirical data fitting of the bending strain, and assumed simplistic interaction with external pressure collapse. The rational model for collapse of deepwater pipelines, which are relatively thick with a diameter-to-thickness ratio less than 40, provides a unique theoretical basis since it is derived from first principles such as force equilibrium and compatibility equations. This paper presents the rational model methodology and compares predicted results and recently published full scale experimental data on the subject. Predictive capabilities of the rational model are shown to be excellent. The methodology is extended for the problem of pipeline collapse under point load, longitudinal bending and external pressure. Due to its rational derivation and excellent prediction capabilities, it is recommended that design codes adopt the rational model methodology.

Mapping of the Equilibrium Shoreline Equation of parabolic type into Polar Coordinates for Comprehensive Application (포물선형 평형 해안선 식의 범용적 사용을 위한 극좌표계로의 매핑)

  • Kim, Dong Hee;Lee, Jung Lyul
    • Proceedings of the Korea Water Resources Association Conference
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    • 2015.05a
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    • pp.202-206
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    • 2015
  • 해안선은 길게 뻗어 있지만 직선적이지 않고 원호와 같은 곡선을 보인다. 그러나 대부분의 평형 해안선식은 직선적 해안이라고 가정하고 수립되어 그 효용성이 큼에도 불구하고 실 해안에 적용되는 경우 잘 재현하지 못하는 경우가 범용적으로 이용되는 데 큰 걸림돌이 되었다. 특히 해안선의 포괄 원호의 반경이 작을수록 문제가 크다는 점에 착안하여 해안선을 포괄하는 극좌표계에 포물선형 평형 해안선 식을 매핑하는 방법을 적용하였다. 그 결과 control point의 개연성을 극복하였고 대부분의 동해, 서해든 국내 해안에 적용한 결과 만족할 만한 결과를 제공하였다. Matlab GUI로 개발되어 실무자들이 항만이나 어항 등 연안해역 개발에 따른 침식 문제의 근본 해결 방안을 사전에 수립하는 데 큰 도움이 되리라 기대한다.

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Geometrically nonlinear meshfree analysis of 3D-shell structures based on the double directors shell theory with finite rotations

  • Mellouli, Hana;Jrad, Hanen;Wali, Monther;Dammak, Fakhreddine
    • Steel and Composite Structures
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    • v.31 no.4
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    • pp.397-408
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    • 2019
  • In this paper, a geometrically nonlinear meshfree analysis of 3D various forms of shell structures using the double director shell theory with finite rotations is proposed. This theory is introduced in the present method to remove the shear correction factor and to improve the accuracy of transverse shear stresses with the consideration of rotational degrees of freedom.The present meshfree method is based on the radial point interpolation method (RPIM) which is employed for the construction of shape functions for a set of nodes distributed in a problem domain. Discrete system of geometrically nonlinear equilibrium equations solved with the Newton-Raphson method is obtained by incorporating these interpolations into the weak form. The accuracy of the proposed method is examined by comparing the present results with the accurate ones available in the literature and good agreements are found.