• Title/Summary/Keyword: Steady state condition

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STUDIES ON THE MATHEMATICAL KINETICS FOR THE REMOVABLE MOVING SCREEN MEDIA-ACTIVATED SLUDGE PROCESS (회전형 반고정망 활성슬럿지 공법의 수학적 해법에 관한 연구 1. 유기물 제거속도에 대하여)

  • HAN Ung-Jun;HAN Yeong-Ho
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.12 no.3
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    • pp.167-173
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    • 1979
  • It is preented the removable moving screen media-activated sludge (REMSMAS) process by using the biological fixed-film systems. The substrate removal kinetic difference between the aeration-only completed mixing activated sludge (CMAS) process and REMSMAS process were observed. The substrate removal kinetics were developed based on the attached and suspended microbial growths. The units of the aeration-only CMAS process were continously operated with the normal detention time of 4.5, 6, 9.5 and 12 flours studies after steady-state condition and the operating of the REMSMAS units conducted with the normal detention time of 6 and 12 hours studies in nonsteady-state condition. The feed solution was diluted 18 times to the raw starch wastewater in of order to maintain the proper COD (950mg/l) and BOD (450mg/l) concentration. Design parameters related to the suspended microbial growths were caculated by the equations used in the aeration-only CMAS model and these parameters used to evalute the kinetic constants in the REMSMAS process. The kinetic constant values of $Y_2,\;K_d,(\mu_{max})_s\;and\;K_s$ from Monod equations were respectively 0.78, 0.027/hr, 1.1/hr and 95mg/l in the aeration-only CMAS process. The value of the aera capacity (F) appeared to be $9.1\;mg/cm^2-day$ and the mean value of the saturation constant $(K_g)$ appeared to be 53.5 mg/l in the REMSMAs process. Also, the substrate removal .ate of the REMSMAS process was higher than that of the normal activated sludge process when this system was operated in steady-state condition. However, the rate was reduced as the critical operating day was approached.

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A SUFFICIENT CONDITION FOR THE UNIQUENESS OF POSITIVE STEADY STATE TO A REACTION DIFFUSION SYSTEM

  • Kang, Joon-Hyuk;Oh, Yun-Myung
    • Journal of the Korean Mathematical Society
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    • v.39 no.3
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    • pp.377-385
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    • 2002
  • In this paper, we concentrate on the uniquencess of the positive solution for the general elliptic system $\Delta$u+u($g_1$(u)-$g_2$(v))=0 $\Delta$u+u($h_1$(u)-$h_2$(v))=0 in$R_{+}$ $\times$ $\Omega$, $u\mid\partial\Omega = u\mid\partial\Omega = 0$. This system is the general model for the steady state of a competitive interacting system. The techniques used in this paper are upper-lower solutions, maximum principles and spectrum estimates. The arguments also rely on some detailed properties for the solution of logistic equations.

A Study on a Two-Degree-of-Freedom Servosystem Incorporating an Observer (관측기를 갖는 2자유도 서보계의 구성에 관한 고찰)

  • Kim, Y.B.
    • Journal of Power System Engineering
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    • v.3 no.1
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    • pp.50-54
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    • 1999
  • In order to reject the steady-state tracking error, it is common to introduce integral compensators in servosystems for constant reference signals. However, if the mathematical model of the plant is exact and no disturbance input exists, the integral compensation is not necessary. From this point of view, a two-degree-of-freedom(2DOF) servosystem has been proposed, in which integral compensation is effective only when there is modeling error for disturbance input. The present paper considers the design problem of 2DOF servosystem incorporating an observer. It is shown that if a state feedback gain and a observer gain satisfy a condition, the integral effect does not appear when modeling error or disturbance input exists. This result means that the servosystem does not behave as a 2DOF servosystem.

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트로코이달 헬리컬 기어의 비정상상태 유한요소해석

  • ;;Yong Bok Park;Dong Yol Yang
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1994.03a
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    • pp.37-46
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    • 1994
  • In metal forming, there ar problems with recurrent geometric characteristics and without explicitly prescribed boundary conditions. In such problems, so-called recurrent boundary conditions must be introduced. The present study deals with nonsteady-state three-dimensional finite element analysis for extrusion of a trocoidal helical gear through a curved die. The boundary-directed remeshing scheme based on the modular remeshing technique is developed to reduce the errors arising in fitting old and new mesh systems. The computed extrusion pressure in reaching the near steady-state loading stage is compared with the results of the experiment and the steady-state analysis. The three-dimensional deformed pattern involving warping at the extruded end due to torsional deformation mode is demonstrated.

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Analysis of Interleaved Boost Power Factor Corrector (Interleaved 승압형 역률보상 컨버터의 해석)

  • Heo, Tae-Won;Park, Jee-Ho;Roh, Tae-Kyun;Chung, Jae-Lyoun;Kim, Dong-Wan;Woo, Jung-In
    • The Transactions of the Korean Institute of Electrical Engineers P
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    • v.51 no.4
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    • pp.186-192
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    • 2002
  • In this paper, interleaved boost power factor corrector(IBPFC) is applied as a pre-regulator in switch mode power supply. IBPFC can reduce input current ripple and effectively increase the switching frequency without increasing the switching losses, because input current is divided each 50% by two switching devices. IBPFC can be classified as three cases by duty ratio condition in continuous current mode and be carried out state space average modeling. According to the modeling, steady and transient state analysis is performed by steady elements and perturbation element. Control transfer function is derived for design of control system.

A Study on Overvoltage Protection for HID Lamp (HID 안정기에서의 보호회로에 관한 연구)

  • Han, Soo-Bin;Park, Suck-In;Jung, Hak-Kun;Song, Eu-Gine;Jung, Bong-Man
    • Proceedings of the KIPE Conference
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    • 2008.10a
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    • pp.215-217
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    • 2008
  • This paper suggests a overvoltage protection scheme for HID lamp. HID lamp has complex characteristics and long duration in process from starting to steady state condition. So it is necessary to protect both starting and normal lighting mode. The protection method is composed of two circuit: one is for ignition state and the other is for steady state.

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A Study on Quasi Resonant Converter with Low Switching Surge Voltage Characteristics by Applying Auxiliary Winding Type Active Snubber (보조 권선형 능동 스너버를 적용하여 낮은 스위치 서지 전압 특성을 갖는 유사 공진형 컨버터에 관한 연구)

  • Ahn, Tae Young
    • Journal of the Semiconductor & Display Technology
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    • v.17 no.4
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    • pp.56-61
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    • 2018
  • In this paper, a new type of active snubber was proposed to lower the excessive rated voltage of the clamp capacitor which was a problem in the conventional circuit by applying auxiliary winding into the active snubber. A simplified equivalent circuit of the proposed snubber was derived by applying it to QR flyback converter, and the equivalent circuits for each switch state was shown under the steady-state condition. In addition, the maximum voltage of the clamp capacitor as well as the main switch was found by using the steady-state equations. In particular, it was found that the clamp capacitor voltage could be controlled by the auxiliary winding ratio. In order to verify the utility and practicality of the proposed converter with auxiliary winding type active snubber circuit, a prototype with an output voltage of 19V and a maximum load current of 6A was produced and the results were reported.

Repetitive Controller Design for a Robust Feedback Control System (강인한 궤환 제어 시스템을 위한 반복 제어기의 설계)

  • Kim, Kwang-Soo;Doh, Tae-Yong
    • Journal of Institute of Control, Robotics and Systems
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    • v.16 no.7
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    • pp.668-673
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    • 2010
  • Given a periodic reference signal or disturbance, repetitive control is a special control scheme to reduce a tracking error effectively by the periodic signal generator in the repetitive controller. In general, a repetitive controller is added on the existing feedback control system to improve the tracking performance. However, because the information used in the design of the feedback controller is not taken into account, the design problem of the repetitive controller is totally another problem irrespective of that of the feedback controller. In this paper, we present a more general method to design an add-on type repetitive controller using the information on the performance of the existing feedback control system. We first show that a robust stability condition of repetitive control systems is obtained using the well-known robust performance condition of general feedback control systems. It is also shown that we can obtain a steady-state tracking error described in a simple form without time-delay element if the robust stability condition is satisfied for the repetitive control system. From the obtained results, several design criterions for repetitive controller are provided. Through the simulation study, the feasibility of the proposed method is verified.

A Study on the Three-Dimensional Steady State Temperature Distributions and BOR Calculation Program Development for the Membrane Type LNG Carrier (Membrane Type LNG선의 3차원 정상상태 온도분포 및 BOR 계산 프로그램 개발에 관한 연구)

  • 이정혜
    • Journal of Advanced Marine Engineering and Technology
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    • v.23 no.2
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    • pp.140-149
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    • 1999
  • This study is on the development of the computer program that calculates a 3-D hull temperadistribution and analyzes BOR(Boil off rate) to be important to the heat design of a membrane type LNG carrier. The quarter of a tank is taken as an calculation model. And the thermal conductivity of insulation is assumed to be the function of a temperature. In the present steady state calculation, the temperature of LNG in a cargo tank is assumed to be -$162^{\circ}C$ and the air temperature of a cofferdam, to be +$5^{\circ}C$. The lowest air temperature in compartments is calculated as $21.39^{\circ}C$ under the USCG condition ($T_{air}=-18^{\circ}C,\;T_{sw}=O^{\circ}C)$ and B.O.R value is O.0977%/day under the maximum boil-off condition, IMO IGC ($T_{air}=45^{\circ}C,\;T_{sw}=32^{\circ}C$), which satisfies the requirement by KOGAS. The calculated temperature distribution over tank panels at each condition is maximum 3% less than GTT's results. From the results of this study, it can be concluded that the present design of LNG cargo tank satisfies the requirement by KOGAS.

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A Practical Application of Multiple Wave Models to the Small Fishery Harbor Entrance

  • Jung, Jae-Hyun;Lee, Joong-Woo;Jeon, Min-Su;Kang, Seok-Jin
    • Journal of Navigation and Port Research
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    • v.31 no.7
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    • pp.579-587
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    • 2007
  • Samchunpo(Sin Hyang) Harbor is located in the bay of Sa Chun, the central south coast of Korean peninsula. The harbor and coastal boundaries have been protecting by natural coastal islands and shoals. Currently, The Sin Hyang harbor needs maintenance and renovation of the sheltered structures against the weather deterioration and typhoon damages. Consequently to support this, the calculation of accurate design wave through the typhoon wave attack is necessary. In this study, calculation of incident wave condition is simulated using steady state spectrum energy wave model(wide area wave model) from 50 years return wave condition. And this simulation results in wide offshore area were used for the input of the extended mild slope wave model at the narrow coastal area. Finally, the calculation of design wave at Sin Hyang harbor entrance was induced by Boussinesq wave model(detail area wave model) simulation. The numerical model system was able to simulate wave transformations from generation scale to shoreline or harbor impact. We hope these results will be helpful to the engineers doing placement, design, orientation, and evaluation of a wide range of potential solutions in this area.