• Title/Summary/Keyword: stable limit cycle

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Radiation-Induced Oscillatory Instability in Diffusion Flames (복사 열손실로 인한 확산 화염의 맥동 불안정에 관한 연구)

  • Sohn, Chae Hoon;Kim, Jong Soo
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.23 no.9
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    • pp.1185-1191
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    • 1999
  • Radiation-induced oscillatory instability in diffusion flames is numerically investigated with nonlinear dynamics considered. As the simplest flame model, a diffusion flame established in the stagnant mixing layer is employed with optically thin gas-phase radiation and unity Lewis numbers for all species. Attention is focused on the radiation-induced extinction regime, which occurs at large $Damk\ddot{o}hler$ number. Once the steady flame structure is obtained for a prescribed value of the initial $Damk\ddot{o}hler$ number, transient solution of the flame is calculated after a finite amount of the $Damk\ddot{o}hler$-number perturbation is imposed on the steady flame. Transient evolution of the flame exhibits three types of flame-evolution behaviors, namely decaying oscillatory solution, diverging solution to extinction and stable limit-cycle solution. A dynamic extinction boundary is identified for laminar flamelet library.

EFFECT OF FEAR ON A MODIFIED LESLI-GOWER PREDATOR-PREY ECO-EPIDEMIOLOGICAL MODEL WITH DISEASE IN PREDATOR

  • PAL, A.K.
    • Journal of applied mathematics & informatics
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    • v.38 no.5_6
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    • pp.375-406
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    • 2020
  • The anti-predator factor due to fear of predator in eco- epidemiological models has a great importance and cannot be evaded. The present paper consists of a modified Lesli-Gower predator-prey model with contagious disease in the predator population only and also consider the fear effect in the prey population. Boundedness and positivity have been studied to ensure the eco-epidemiological model is well-behaved. The existence and stability conditions of all possible equilibria of the model have been studied thoroughly. Considering the fear constant as bifurcating parameter, the conditions for the existence of limit cycle under which the system admits a Hopf bifurcation are investigated. The detailed study for direction of Hopf bifurcation have been derived with the use of both the normal form and the central manifold theory. We observe that the increasing fear constant, not only reduce the prey density, but also stabilize the system from unstable to stable focus by excluding the existence of periodic solutions.

A Study on Design of the simple MPPT controller using current error signal (전류오차 신호를 이용한 간단한 MPPT제어기 설계에 관한 연구)

  • Kang Ju-Sung;Koh Kang-Hoon;Choi Kwang-Ju;Hong Doo-Sung;Lee Hyun-Woo
    • Proceedings of the KIPE Conference
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    • 2006.06a
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    • pp.222-224
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    • 2006
  • To improve the drawback of LCMPPT(Limit Cycle Maximum Power Point Tracking) controller of the existing two power conversion stages, an advanced MPPT scheme of single power conversion stage is proposed in this paper. This topology is faster on the control speed by means of current control method and the system configuration is simpler. The Authors produce a battery charger by using a cost effective one-chip processor (PIC16F877A) and evaluate another application on the basis of simulation. As a result, the proposed new LCMPPT algorithm is confirmed to be stable and useful.

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Near Time Maximum Disturbance Design for Second Order Oscillator with Model Uncertainty (모델 불확실성을 갖는 이차 오실레이터에 대한 근사화된 최대 시간 교란 신호 설계)

  • You Kwan-Ho
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.52 no.4
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    • pp.205-211
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    • 2003
  • In this paper we propose a disturbance design method to test a system's stability. It is shown that the time maximum disturbance is represented in bang-bang and state feedback form. To maximize the time severity index, the value of disturbance is determined by the associated switch curve. The original switch curve is vulnerable to model uncertainties and takes much calculation time. We propose an improved method to approximate the original switch curve. This reduces the computational time and implements sufficiently to test the stable system. Simulation results show how the approximate switch curve can be used to stress a system by driving it to oscillation along the maximum limit cycle.

Investigation of Self-Excited Combustion Instabilities in Two Different Combustion Systems

  • Seo, Seonghyeon
    • Journal of Mechanical Science and Technology
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    • v.18 no.7
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    • pp.1246-1257
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    • 2004
  • The objective of this paper is to characterize dynamic pressure traces measured at self-excited combustion instabilities occurring in two combustion systems of different hardware. One system is a model lean premixed gas turbine combustor and the other a fullscale bipropellant liquid rocket thrust chamber. It is commonly observed in both systems that low frequency waves at around 300㎐ are first excited at the onset of combustion instabilities and after a short duration, the instability mode becomes coupled to the resonant acoustic modes of the combustion chamber, the first longitudinal mode for the lean premixed combustor and the first tangential mode for the rocket thrust chamber. Low frequency waves seem to get excited at first since flame shows the higher heat release response on the lower frequency perturbations with the smaller phase differences between heat release and pressure fluctuations. Nonlinear time series analysis of pressure traces reveals that even stable combustion might have chaotic behavior with the positive maximum Lyapunov exponent. Also, pressure fluctuations under combustion instabilities reach a limit cycle or quasi-periodic oscillations at the very similar run conditions, which manifest that a self-excited high frequency instability has strong nonlinear characteristics.

Instability Analysis of Counterflow Diffusion Flames with Radiation Heat Loss (복사 열손실을 받는 대향류 확산화염의 불안정성 해석)

  • Lee, Su-Ryong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.36 no.8
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    • pp.857-864
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    • 2012
  • A linear stability analysis of a diffusion flame with radiation heat loss is performed to identify linearly unstable conditions for the Damk$\ddot{o}$hler number and radiation intensity. We adopt a counterflow diffusion flame with unity Lewis number as a model. Near the kinetic limit extinction regime, the growth rates of disturbances always have real eigenvalues, and a neutral stability condition perfectly falls into the quasi-steady extinction. However, near the radiative limit extinction regime, the eigenvalues are complex, which implies pulsating instability. A stable limit cycle occurs when the temperatures of the pulsating flame exceed the maximum temperature of the steady-state flame with real positive eigenvalues. If the instantaneous temperature of the pulsating flame is below the maximum temperature, the flame cannot recover and goes to extinction. The neutral stability curve of the radiation-induced instability is plotted over a broad range of radiation intensities.

Development of Highly Sensitive Analytical Method for Evaluation of Evening Primrose Oil's Enhancing Effect in Prostaglandin E1(OP 1206) Biosynthesis

  • Lee, Sung-Hoon
    • Journal of People, Plants, and Environment
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    • v.21 no.6
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    • pp.485-492
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    • 2018
  • This study aimed to develop and validate highly sensitive determination method of a prostaglandin ($PGE_1$, OP 1206) in human plasma by LC-MS/MS using column switching. Plasma stored at $-30^{\circ}C$ and treated with methanol effectively inhibited interferences synthesized post-sampling. Samples were added with internal standard and were separated by reversed-phase HPLC with a cycle time of 30min. The method was selective for OP 1206 and the regression models, based on internal standard, were linear across the concentration range 0.5-50 pg/mL with the limit of quantification of 0.5 pg/mL (limit of quantitation, LOQ) for OP 1206. The calibration curve of OP 1206 standards spiked in five individual plasma samples was linear ($r^2=0.9999$). Accuracy and precision at the concentrations of 0.5, 1.5, 5.0 and 40 pg/mL, and at the lower LOQ of 0.5 pg/mL were excellent at 20%. OP120 < 6 was stable in plasma samples for at least 24 hours at room temperature, 24 hours frozen at $-70^{\circ}C$, 24 hours in an auto sampler at $6^{\circ}C$, and for two freeze/unfreezing cycles. The validated determination method successfully quantified the concentrations of OP 1206 in plasma samples from simulated administrating a single $5{\mu}g$ OP 1206 formulation. Thus, this novel LC-MS/MS technique for drug separation, detection and quantitation is expected to become the standard highly-sensitive detection method in bioanalysis and to be applied to many low dose pharmaceutical products.

Novel Ramjet Propulsion System with H2O2-Kerosene Rocket as an Initial Accelerator (H2O2-케로신 로켓을 초기 가속장치로 갖는 새로운 램젯 추진기관)

  • Park, Geun-Hong;Lim, Ha-Young;Kwon, Se-Jin
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.36 no.5
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    • pp.491-496
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    • 2008
  • New concept ramjet propulsion system with liquid bipropellant rocket using "Green Propellant" hydrogen peroxide for launch stage is proposed. In this novel concept, hydrogen peroxide gas generator produces hot oxygen at launch stage and kerosene injects to this jet in combustor. For basic study of this new concept ramjet system, investigation of auto-ignition characteristics and combustion of decomposed hydrogen peroxide and kerosene was conducted. In various test cases, auto-ignition and stable combustion was verified. The combustion temperature of 400°C and Fuel/Oxidizer mixture ratio of 0.6 were the limit of auto ignition. Through the experiment results, the possibility of novel concept combined propulsion system using hydrogen peroxide gas generator is ascertained.

Effect of Fine Copper Sulfides on the High Cycle Fatigue Properties of Bake Hardening Steels for Automotive (자동차용 소부경화형(BH) 강의 고주기 피로 특성에 미치는 미세 황화물의 영향)

  • Kang, Seonggeu;Kim, Jinyong;Choi, Ildong;Lee, Sungbok;Hong, Moonhi
    • Korean Journal of Metals and Materials
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    • v.49 no.3
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    • pp.203-210
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    • 2011
  • Bake hardening steels have to resist strain aging to prevent the yield strength increment and stretcher strain during press process and to enhance the bake hardenability during baking process after painting. The bake hardening steels need to control the solute carbon and the solute nitrogen to improve the bake hardenability. Ti and/or Nb alloying for nitride and carbide precipitation and low carbon content below 0.003% are used to solve strain aging and formability problem for automotive materials. However, in the present study, the effect of micro-precipitation of copper sulfide on the bake hardenability and fatigue properties of extremely low carbon steel has been investigated. The bake hardenability of Cu-alloyed bake hardening (Cu-BH) steel was slightly higher (5 MPa) than that of Nb-alloyed bake hardening (Nb-BH) steel, but the fatigue limit of Cu-BH steel was far higher (45 MPa) than that of Nb-BH steel. All samples showed the ductile fracture behavior and some samples revealed distinct fatigue stages, such as crack initiation, stable crack growth and unstable crack growth.

The Effects of Panax Ginseng Radix Pharmacopuncture and Zizyphi Spinosi Semen Pharmacopuncture on the Heart Rate Variability (인삼약침과 산조인약침이 정상인의 심박 변이도에 미치는 영향)

  • Seol, Hyun;Song, Beom-Yong;Yook, Tae-Han
    • Journal of Acupuncture Research
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    • v.26 no.5
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    • pp.19-28
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    • 2009
  • Objectives : We tried to investigate the effects of Panax Ginseng Radix pharmacopuncture and Zizyphi Spinosi Semen pharmacopuncture on human body with the Heart Rate Variability (HRV) in adult man. As well as we tried to investigate how safe Panax Ginseng Radix and Zizyphi Spinosi Semen pharmacopuncture on the the human being. Methods : We investigated on 44 healthy volunteers consisted of 16 subjects in Panax Ginseng Radix pharmacopuncture group, 13 subjects in Zizyphi Spinosi Semen pharmacopuncture group and 15 subjects in Normal Saline. We ruled out subjects who wasn't stable by rest, with in the limit of normal heart beat(60-120cycle/min). Study form was a randomized, clinical trial. Each group was injected Panax Ginseng Radix pharmacopuncture, Zizyphi Spinosi Semen pharmacopuncture and Normal Saline $0.2m{\ell}$ at $GB_{21}$(Kyonjong). We measured HRV on 7 times : before and after injection per 5 minutes during 30 minutes. The SPSS 13.0 for windows was used to analyze the data by the paired t-test(in the group) and Anova test(among the groups) were used to verify the result. Results : 1. After Panax Ginseng Radix pharmacopuncture injection, SDNN was significantly high, pNN50 was significantly low, Ln(TP) was significantly high, Ln(VLF) was significantly high, Ln(LF) was significantly high at 30 minutes. 2. After Zizyphi Spinosi Semen pharmacopuncture injection, Complexity was significantly low, Ln(VLF) was significantly high at 30 minutes. 3. HRV-index made a significant difference between the Zizyphi Spinosi Semen pharmacopuncture and normal saline at 5 minutes(p=0.02). 4. There wasn's any pain the injected region and whole body, rubefaction, uredo, nausea, vomiting, colic, headache, dizziness within 24 hours. Measured data and mean value of Mean-HRV was within normal range. Conclusions : The results suggested that and Panax Ginseng Radix pharmacopuncture in healthy adult man tended to activate the vagus nervous system within normal range.

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