• Title/Summary/Keyword: limits of stability

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GAUSSIAN QUADRATURE FORMULAS AND LAGUERRE-PERRON@S EQUATION

  • HAJJI S. EL;TOUIJRAT L.
    • Journal of applied mathematics & informatics
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    • v.18 no.1_2
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    • pp.205-228
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    • 2005
  • Let I(f) be the integral defined by : $I(f) = \int\limits_{a}^{b} f(x)w(x)dx$ with f a given function, w a nonclassical weight function and [a, b] an interval of IR (of finite or infinite length). We propose to calculate the approximate value of I(f) by using a new scheme for deriving a non-linear system, satisfied by the three-term recurrence coefficients of semi-classical orthogonal polynomials. Finally we studies the Stability and complexity of this scheme.

The Stability Analysis of Power System Installed Superconducting Fault Current Limiter (고온 초전도 한류기가 설치된 전력 시스템의 안정도 해석)

  • Lee, Seung-Je;Lee, Chan-Ju;Go, Tae-Guk
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.48 no.5
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    • pp.227-232
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    • 1999
  • The stability of Power system installed Hi-Tc Superconducting Fault Current Limiter(SFCL) is analyzed as a process of developing SFCL. For investigation, a simple mimic system(only one generator) is assumed and then the circuit with SFCL in that system is solved for transient performance. In case the SFCL is installed in the power system, it protected synchronization more effectively both in symmetrical 3-phase fault and single phase line to ground fault in that the machine remains in synchronism for the more time than of without superconducting fault current limiter. It shows that the superconducting fault current limiter not only limits fault current but also protest synchronism. So for design of this SFCL, its synchronism protection property must be considered.

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Reactive Reserve based Contingency Constrained Optimal Power Flow to Enhance Interface Flow Limits in Terms of Voltage Stability

  • Hwachang Song;Lee, Byongjun
    • KIEE International Transactions on Power Engineering
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    • v.11 no.X00
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    • pp.27-32
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    • 2001
  • This paper presents a concept of reactive reserve based contingency constrained optimal power flow (RCCOPF). RCCOPF for enhancement of interface flow limit is composed of two modules, which are the modified continuation power flow (MCPF) and reactive optimal power flow (ROPF). In RCCOPF, two modules are repeatedly performed to increase interface flow margins of selected contingent states until satisfying the required enhancement of interface flow limit. In numerical simulation, a simple example with New England 39-bus test system is shown.

Optimization Application for Assessment of Total Transfer Capability Using Transient Energy Function in Interconnection Systems (과도에너지 함수를 이용하여 연계계통의 총송전용량 평가를 위한 최적화기법 응용)

  • Kim, Kyu-Ho;Kim, Soo-Nam;Rhee, Sang-Bong;Lee, Sang-Keun;Song, Kyung-Bin
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.58 no.12
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    • pp.2311-2315
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    • 2009
  • This paper presents a method to apply energy margin for assesment of total transfer capability (TTC). In order to calculate energy margin, two values of the transient energy function have to be computed. The first value is transient energy that is the sum of kinetic and potential energy at the end of fault. The second is critical energy that is potential energy at controlling UEP(Unstable Equilibrium Point). It is seen that TTC level is determined by not only bus voltage magnitudes and line thermal limits but also transient stability. TTC assessment is compared by the repeated power flow(RPF) method and optimization method.

Collocation of Sensor and Actuator for Active Control of Sound and Vibration (능동음향진동제어를 위한 센서와 액추에이터의 동위치화 연구)

  • 이영섭
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2003.11a
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    • pp.778-783
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    • 2003
  • The problem considered in this paper is about the collocation of sensor and actuator for the active control of sound and vibration. It is well-known that a point collocated sensor-actuator pair offers an unconditional stability with very high performance when it is used with a direct velocity feedback (DVFB) control, because the pair has strictly positive real (SPR) property. In order to utilize this SPR characteristics, a matched piezoelectric sensor and actuator pair is considered, but this pair suffers from the in-plane motion coupling problem with the out-of$.$plane motion due to the piezo sensor and actuator interaction. This coupling phnomenon limits the stability and performance of the matched pair with DVFB control. As a new alternative, a point sensor and piezoelectric actuator pair is also considered, which provides SPR property in all frequency range except at the first resonance in very low frequency. This non-SPR resonance could be minimized by applying a phase lag compensator.

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An Interior Point Method based Reactive Optimal Power Flow Incorporating Margin Enhancement Constraints

  • Song Hwa-Chang;Lee Byong-Jun;Moon Young-Hwan
    • KIEE International Transactions on Power Engineering
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    • v.5A no.2
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    • pp.152-158
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    • 2005
  • This paper describes a reactive optimal power flow incorporating margin enhancement constraints. Margin sensitivity at a steady-state voltage instability point is calculated using invariant space parametric sensitivity, and it can provide valuable information for selection of effective control parameters. However, the weakest buses in neighboring regions have high margin sensitivities within a certain range. Hence, the control determination using only the sensitivity information might cause violation of operational limits of the base operating point, at which the control is applied to enhance voltage stability margin in the direction of parameter increase. This paper applies an interior point method (IPM) to solve the optimal power flow formulation with the margin enhancement constraints, and shunt capacitances are mainly considered as control variables. In addition, nonlinearity of margin enhancement with respect to control of shunt capacitance is considered for speed-up control determination in the numerical example using the IEEE 118-bus test system.

AN IMMERSED BOUNDARY METHOD WITH FEEDBACK FORCING FOR SIMULATION OF FLOW AROUND AN ARBITRARILY MOVING BODY (임의로 움직이는 물체 주위의 유동 해석을 위한 피드백 강제 외력을 이용한 가상경계방법)

  • Shin, S.J.;Huang, W.X.;Sung, H.J.
    • Journal of computational fluids engineering
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    • v.12 no.2
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    • pp.14-20
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    • 2007
  • We present an improved immersed boundary method for computing incompressible viscous flow around an arbitrarily moving body on a fixed computational grid. The main idea is to incorporate feedback forcing scheme of virtual boundary method with Peskin's regularized delta function approach in order to use large CFL number and transfer quantities between Eulerian and Lagrangian domain effectively. From the analysis of stability limits and effects of feedback forcing gains, optimum regions of the feedback forcing are suggested.

Review of Entrainment and Interfacial Stability in Thermosyphons and Capillary-Driven Heat Pipes

  • Kim, B.H.;Kim, C.J.
    • Solar Energy
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    • v.18 no.3
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    • pp.205-215
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    • 1998
  • Entrainment in thermosyphons and heat pipes was characterized in view of the interfacial stability associated with the critical Weber number and the entrainment limit at the onset of liquid entrainment from the liquid or wicked interface. Both literature review and theoretical analysis on the entrainment models were peformed in order to evaluate accuracy of the predicted value. For this purpose, the models were categorized in two groups according to their entrainment mechanism and interfacial configurations, i.e., the wave-induced entrainment and the shear-induced entrainment, respectively. Thus, the twelve models(five models for the wave-induced entrainment and seven for the shear induced entrainment) were examined to obtain individual trends and their discrepancies from the general tendency of the overall models. As a result, the critical Weber numbers and entrainment limits were calculated and represented as a function of vapor temperature for the chosen characteristic dimensions of the interface.

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AN IMMERSED BOUNDARY METHOD WITH FEEDBACK FORCING FOR SIMULATION OF FLOW AROUND AN ARBITRARILY MOVING BODY (임의로 움직이는 물체 주위의 유동 해석을 위한 피드백 강제 외력을 이용한 가상경계방법)

  • Shin, S.J.;Huang, W.X.;Sung, H.J.
    • 한국전산유체공학회:학술대회논문집
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    • 2007.04a
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    • pp.23-29
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    • 2007
  • We present an improved immersed boundary method for computing incompressible viscous flow around an arbitrarily moving body on a fixed computational grid The main idea is to incorporate feedback forcing scheme of virtual boundary method with Peskin's regularized delta function approach in order to use large CFL number and transfer quantities between Eulerian and Lagrangian domain effectively. From the analysis of stability limits and effects of feedback forcing gains, optimum regions of the feedback forcing are suggested.

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A Study of Influence of Asymmetrical Weight-Bearing on the LOS of Independent Ambulatory Hemiparetic Patients on Standing (편마비 환자의 비대칭적 체중지지가 기립균형 안정성 한계에 미치는 영향)

  • Kwon, Hyuk-Cheol;Jeong, Dong-Hoon
    • Physical Therapy Korea
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    • v.7 no.2
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    • pp.1-19
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    • 2000
  • Decreased equilibrium in standing and walking is a common problem associated with hemiparesis secondary to cerebral vascular accident. In patients with hemiplegia, postural sway is increased and often displaced laterally over the non-affected leg, reflecting asymmetry in lower extremity weight bearing during standing balance. Human balance is a complex motor control task, requiring integration of sensory information, neural processing, and biomechanical factors. Limits of stability (LOS) is a one of the biomechanical factors. The purposes of this study were to establish the influence of asymmetrical weight-bearing on the LOS of independent ambulatory hemiparetic patients. The subjects of this study were 29 hemiparetic patients (18 males, 11 females) being treated as admitted or out patients at Young-Nam University Hospital and Taegu Catholic University Hospital, all of whom agreed to participate in the study. Participants were asked to lean and displace their center of gravity (COG) as far as possible in directions to the sides and front of the body. The LOS and weight-bearing ratio were measured with a Balance Performance Monitor (BPM) Dataprint Software Version 5.3. In order to assure the statistical significance of the results, the independent t-test and a Pearson's correlation were applied at the .05 and .01 level of significance. The results of this study were as follows: 1) There were statistically significant differences in anteroposterior LOS according to the cause of brain demage (p<.01). 2) There were statistically significant differences in mediolateral LOS according to the hemiparetic side (p<.05). 3) There were statistically significant differences in anteroposterior and mediolateral LOS according to the brain operation (p<.01). 4) The mediolateral LOS significantly correlated with weight-bearing ratio (p<.01).

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