• 제목/요약/키워드: Root locus method

검색결과 72건 처리시간 0.021초

루츠타입 진공펌프 동특성의 해석적 평가 (Analytical Evaluation of Rotor Dynamic Characteristic of Roots Type Vacuum Pump)

  • 이종명;김용휘;하정민;구동식;최병근
    • 한국소음진동공학회논문집
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    • 제21권12호
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    • pp.1112-1119
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    • 2011
  • The goal of this study is the stability evaluation of a vacuum pump through modal test and rotor dynamics. Roots type vacuum pump, which is a dry vacuum pump, is necessary for the manufacturing process of the semiconductor and the display. Eigenvalue was solved by the finite-element method(FEM) using 2D and 3D models, then the modal test result was compared with the FEM result. According to the comparison, the analysis result using the 2D was more accurate than the 3D model. Therefore, rotor dynamics was performed by the 2D model. Campbell diagram and root-locus maps, which were calculated by complex-eigenvalue analysis, were used to evaluate the stability of the rotors of the vacuum pump. And displacement solved by unbalance response analysis was compared with the minimum clearance between two rotors of the vacuum pump. Thus, the vacuum pump is assumed operated under steady state through the evaluation of the rotor dynamics.

Robust PID $\times$ (n-1) Stage PD Controller

  • Numsomran, Arjin;Julsereewong, Prasit;Ukakimaparn, Prapart;Trisuwannawat, Thanit;Tirasesth, Kitti
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1999년도 제14차 학술회의논문집
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    • pp.298-301
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    • 1999
  • This paper presents a design technique based on the root locus method fur a class of $n^{th}$ order plants using PID (Proportional-Integral-Derivative) x (n-1) stage PD controller. It is intended to satisfy both transient and steady state response specifications. This controller can be used instead of a conventional PID controller for the higher order plants to obtain better performances. The controlled system is approximated as a stable and robust second order controlled system. Only adjusting the controller gain, the desired performances of the controlled system are satisfied. For the stable plant including the plant with small dead time, the controlled system is made robustly stable. In case of the unstable plant, when the controller gain is adjusted higher than the critical value, the unstable plant can also be made stable. Robustness properties given by this controller proposed in this paper have also been demonstrated by numerical examples.

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PSS 튜닝을 위한 기본 연구 PART II : PSS 실계통 최적 정수 선정을 위한 튜닝기법 (A Basic Study for Tuning Power System Stabilizer PART-II : Tuning Methods for Selecting Optimal PSS Parameters in Real Power Systems)

  • 김태균;신정훈;윤용범;김동준;문영환;백영식
    • 대한전기학회논문지:전력기술부문A
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    • 제49권7호
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    • pp.350-358
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    • 2000
  • Based on the results in the first-part paper, PSS tuning methods including the determination of PSS gain and compensation of phasor lagging are investigated in this second part. In the phase compensation, PSS should compensate phase lagging, resulted from power system-generator-excitation system loop, to provide damping torque in equal phase with the generator speed. Also, PSS gain should be determined to provide maximum damping torque as much as possible without the other modes unstable. In this paper, gain tuning method using the root-locus and the phase compensation of PSS at the one machine with infinite bus system are presented. The differences between PSS tuning at the tuning condition and at the least-stable condition are also discussed.

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승용차 4륜 조향(4WS) 장치용 비례 압력 제어 밸브의 특성에 관한 연구 (Characteristics of the Proportional Pressure Control Valve for 4 Wheel Steering System on the Passenger Car)

  • 오인호;장지성;이일영
    • 한국자동차공학회논문집
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    • 제4권4호
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    • pp.87-96
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    • 1996
  • The proportional pressure control valve(PCV) is an essential component in the open loop controlled rear wheel steering gear of the four wheel steering(4WS) system on the passenger car. The valve should have versatile functions and higher performance. But, it is hard to find the proportional pressure control valve suitable for the 4WS system. In this paper, the determination of the valve parameters was studied by the stability discrimination and the characteristic analysis for the purpose of the development of a new PCV for the 4WS. The mathematical model of the valve was derived from the valve-cylinder system and the programme for numerical computation was developed. The transfer function of the system was obtained from the mathematical model. The characteristics of the valve were inspected through the experiment and compared to those obtained by numerical method. And then the stability discrimination of the system was done by root locus and the analysis of characteristics was done by the developed programme. From the experiment and the analysis of characteristics was done by the developed programme. From the experiment and the inspection, the appropriation of mathematical model and the usefulness of the programme were confirmed. And the parameters which might affect the performance of the valve can be determined by considering the stability discrimination, the characteristics analysis and required functions.

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송전용 무효전력보상기의 제어시스템 설계와 성능해석 (Control System Design and Performance Analysis for Transmission Static Compensator)

  • 한병문;최대길
    • 전력전자학회논문지
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    • 제3권1호
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    • pp.77-84
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    • 1998
  • 본 논문에서는 비선형상태피드백을 적용한 무효전력보상기의 제어시스템을 설계하여 시뮬레이션과 축소모형 실험에 의한 성능해석에 관해 기술하였다. 무효전력 보상기의 수리모형을 3상 등가회로와 대표적인 동작점에 대한 상태방정식을 이용하여 도출하였으며, 비선형 상태피드백을 고려한 무효전력 보상기의 동특성을 표현하는 전달함수를 유도하였다. 또한 근궤적을 이용한 시스템 안정도 해석을 실시하여 제어시스템 설계를 실시하였다. 고안된 제어시스템의 성능해석은 EMTP를 이용한 시뮬레이션과 축소모형 실험을 통해 검증하였는데, 검증결과 고안된 제어시스템은 송전계통의 무효전력보상에 우수한 성능을 갖음이 확인되었다.

Performance Improvement Strategy for Parallel-operated Virtual Synchronous Generators in Microgrids

  • Zhang, Hui;Zhang, Ruixue;Sun, Kai;Feng, Wei
    • Journal of Power Electronics
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    • 제19권2호
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    • pp.580-590
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    • 2019
  • The concept of virtual synchronous generators (VSGs) is a valuable means for improving the frequency stability of microgrids (MGs). However, a great virtual inertia in a VSG's controller may cause power oscillation, thereby deteriorating system stability. In this study, a small-signal model of an MG with two paralleled VSGs is established, and a control strategy for maintaining a constant inertial time with an increasing active-frequency droop coefficient (m) is proposed on the basis of a root locus analysis. The power oscillation is suppressed by adjusting virtual synchronous reactance, damping coefficient, and load frequency coefficient under the same inertial time constant. In addition, the dynamic load distribution is sensitive to the controller parameters, especially under the parallel operation of VSGs with different capacities. Therefore, an active power increment method is introduced to improve the precision of active power sharing in dynamic response. Simulation and experimental is used to verify the theoretical analysis findings.

Stability analysis in BWRs with double subdiffusion effects: Reduced order fractional model (DS-F-ROM)

  • Gilberto Espinosa-Paredes;Ricardo I. Cazares-Ramirez;Vishwesh A. Vyawahare;Erick-G. Espinosa-Martinez
    • Nuclear Engineering and Technology
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    • 제56권4호
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    • pp.1296-1309
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    • 2024
  • The aim of this work is to explore the effect of the double subdiffusion on the stability in BWRs. A BWR novel reduced order model with double subdiffusion effects: reduced order fractional model (DS-F-ROM) to describe the neutron and heat transfer processes was proposed for this study. The double subdiffusion was developed with a fractional-order two-equation model, and with different fractional-orders and relaxation times. The stability analysis was carried out using the root-locus method and change from the s to the W domain and were confirmed using the time-domain evolution of neutron flux for a unit step change in reactivity. The results obtained using the reduced fractional-order model are presented for different anomalous diffusion coefficient values. Results are compared with normal diffusion and P1 equations, which are obtained straightforwardly with DS-ROM when relaxation time tends to zero, and when the anomalous diffusion coefficient tends to one, respectively.

ZAERO를 활용한 서보공력탄성학적 안정성 해석기법 연구 (Study on the Aeroservoelastic Stability Analysis with ZAERO)

  • 노홍기;배재성;황재혁
    • 항공우주시스템공학회지
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    • 제14권5호
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    • pp.1-8
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    • 2020
  • 구조적 특성 및 공력의 상호작용과 조종면 작동기의 제어 시스템의 영향을 고려한 서보공력탄성 해석을 수행하였다. 공탄성 안정성 해석을 위해서 선행되어야 하는 구조모델의 자유진동 해석은 유한요소 해석 프로그램 MSC Nastran을 사용하였다. 비정상 공기력 계산에 ZAERO를 사용하였다. 비정상 공기력 검증에 Doublet Hybrid Method를 사용하였다. Karpel의 최소상태근사법을 이용하여 주파수 영역의 공기력을 라플라스 영역으로 근사하였다. 공탄성 상태방정식을 구동기의 동역학 상태방정식과 결합하여 서보 공탄성 모델의 상태공간방정식을 구성하였다. 고세장비 모델의 승강타 입력에 따른 안정성 해석을 수행하였다. 근궤적법과 시간적분법을 사용하여 주파수영역과 시간영역에서의 서보공탄성 안정성 해석을 수행하였다.

오버슈트 탐지 로직 및 피드포워드 외란관측기를 활용한 제어 성능 개선 연구 (Control Performance Improvement Using Overshoot Detecting Logic and Feedforward Disturbance Observer)

  • 이한빛;임승한
    • 한국항공우주학회지
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    • 제48권6호
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    • pp.431-441
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    • 2020
  • 이 논문에서 제안된 새로운 제어 기법은 외부 외란 및 모델 불확실성으로 인해 발생하는 오버슈트를 줄여주어 제어기의 안정성 및 강건성을 보장하기 위하여 제안되었다. 제안된 제어 기법은 외란 관측기와 피드포워드 제어기, 그리고 오버슈트 탐지기로 구성되며, 간단한 구조로 구성되어 있으므로 제어 이득 설계가 용이한 장점이 있다. 이를 보이기 위해서 F-16 비행체의 종축 모델을 대상으로 시뮬레이션을 수행하였다. 또한 3가지 형태의 불확실성 모델을 반영해봄으로써 제어 성능 및 안정성을 보장할 수 있음을 확인하였으며, 루트 로커스 선도와 보드 선도를 이용하여 제안된 기법의 강인성 및 안정성을 검증하였다.

마찰을 고려한 노즈 랜딩기어의 비선형 쉬미 해석 (Non-linear Shimmy Analysis of a Nose Landing Gear with Friction)

  • 이미선;배재성;황재혁
    • 한국항공우주학회지
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    • 제39권7호
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    • pp.605-611
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    • 2011
  • 쉬미는 항공기의 이착륙 시 랜딩기어가 주행도중 측방향 및 조향방향의 진동이 발생하는 현상이다. 쉬미 현상은 스트럿의 낮은 강성, 랜딩기어 내부의 유격, 휠의 불균형이나 마모된 부품 등으로 인해 발생하며, 항공기의 안정성을 저하시킨다. 본 연구는 소형항공기의 쉬미 안정성 검토를 위해 수행되었다. 수치해석을 위하여 소형항공기의 전방 착륙장치를 선형시스템으로 모델링하고 상태방정식을 수립하였다. 근궤적 기법을 이용한 주파수 영역 해석과 4차 Runge-Kutta 방법을 이용한 시간영역 해석을 통해 쉬미 현상을 예측하였고 주요 변수의 설계범위를 검토하였다. 현 착륙장치는 와셔의 압축력을 이용하여 조향 방향 마찰을 가함으로써 쉬미현상을 저감하는 기법을 채택하고 있으므로 마찰을 기술함수를 이용하여 선형화시키고 상태방정식에 적용하여 해석을 수행함으로써 쉬미의 발생이 저감되는 결과를 확인하였다.