• Title/Summary/Keyword: proportional method

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Solution of Eigenproblems for Non-proportional Damping Systems by Lanczos Method (Lanczos 방법에 의한 비비례 감쇠 시스템의 고유치 해석)

  • 김만철;정형조;오주원;이인원
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1998.04a
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    • pp.283-290
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    • 1998
  • A solution method is presented to solve the eigenproblem arising in tile dynamic analysis of non-proportional damping systems with symmetric matrices. The method is based on tile use of Lanczos method to generate a Krylov subspace of trial vectors, witch is then used to reduce a large eigenvalue problem to a much smaller one. The method retains the η order quadratic eigenproblem, without the need to the method of matrix augmentation traditionally used to cast the problem as a linear eigenproblem of order 2n. In the process, the method preserves tile sparseness and symmetry of the system matrices and does not invoke complex arithmetics, therefore, making it very economical for use in solving large problems. Numerical results are presented to demonstrate the efficiency and accuracy of the method.

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An Inductance Voltage Vector Control Strategy and Stability Study Based on Proportional Resonant Regulators under the Stationary αβ Frame for PWM Converters

  • Sun, Qiang;Wei, Kexin;Gao, Chenghai;Wang, Shasha;Liang, Bin
    • Journal of Power Electronics
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    • v.16 no.3
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    • pp.1110-1121
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    • 2016
  • The mathematical model of a three phase PWM converter under the stationary αβ reference frame is deduced and constructed based on a Proportional-Resonant (PR) regulator, which can replace trigonometric function calculation, Park transformation, real-time detection of a Phase Locked Loop and feed-forward decoupling with the proposed accurate calculation of the inductance voltage vector. To avoid the parallel resonance of the LCL topology, the active damping method of the proportional capacitor-current feedback is employed. As to current vector error elimination, an optimized PR controller of the inner current loop is proposed with the zero-pole matching (ZPM) and cancellation method to configure the regulator. The impacts on system's characteristics and stability margin caused by the PR controller and control parameter variations in the inner-current loop are analyzed, and the correlations among active damping feedback coefficient, sampling and transport delay, and system robustness have been established. An equivalent model of the inner current loop is studied via the pole-zero locus along with the pole placement method and frequency response characteristics. Then, the parameter values of the control system are chosen according to their decisive roles and performance indicators. Finally, simulation and experimental results obtained while adopting the proposed method illustrated its feasibility and effectiveness, and the inner current loop achieved zero static error tracking with a good dynamic response and steady-state performance.

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

  • 오인호;장지성;이일영
    • Transactions of the Korean Society of Automotive Engineers
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    • v.4 no.4
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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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Sliding Mode Speed Controller for the BLDC Motor having New Switching Surface (새로운 스위칭 평면을 갖는 슬라이딩 모드 속도 제어기)

  • 김세일;최중경;박승엽
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.4 no.3
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    • pp.689-696
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    • 2000
  • In this paper, an improved method is proposed to eliminate the chattering for Sliding Mode Controller. The differential-calculus of a switching function is converged to a particular constant or the proportional term so that the chattering in transient state is eliminated in the conventional method. However, by using the improved method, it is converged to its proportional-integral term so that the chattering is eliminated in transient state and steady state both. The computer simulation for brushless DC motor speed controller is used to compare the improved method with the conventional method and to verify the useful effect of the method in this paper.

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Comparison of Damping Matrix Estimation Methods for Model Updating (모형개선을 위한 감쇠행렬 추정법의 비교)

  • Lee, Gun-Myung;Ju, Young-Ho;Park, Mun-Soo
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.20 no.10
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    • pp.923-930
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    • 2010
  • Finite element models of dynamic systems can be updated in two stages. In the first stage, mass and stiffness matrices are updated neglecting damping, and in the second stage, damping matrices are estimated with the mass and stiffness matrices fixed. Three methods to estimate damping matrices for this purpose are proposed in this paper. The methods include one for proportional damping systems and two for non-proportional damping systems. Method 1 utilizes orthogonality of normal modes and estimates damping matrices using the modal parameters extracted from the measured responses. Method 2 estimates damping matrices from impedance matrices which are the inverse of FRF matrices. Method 3 estimates damping using the equation which relates a damping matrix to the difference between the analytical and measured FRFs. The characteristics of the three methods are investigated by applying them to simulated discrete system data and experimental cantilever beam data.

The rotor time constant compensation in sensorless vector control using stator current based MRAC (고정자 전류 기반의 MRAC를 이용한 유도전동기의 센서리스 벡터제어에서 회전자 시정수의 보상)

  • Park Chul-woo;Youn Kyung-sup;Im Sung-woon;Ku Bon-ho;Kwon Woo-hyen
    • Proceedings of the KIPE Conference
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    • 2002.07a
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    • pp.192-195
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    • 2002
  • The thesis proposes the sensorless vector control method that estimates the rotor speed and rotor time constant at the same time using stator current. In the proposed method, stator current error in the stationary reference frame is proportional to estimated speed error, and stator current error in the synchronous reference frame is proportional to estimated rotor time constant error. The proposed method can simultaneously produce a fast speed estimation and rotor time constant estimation. Therefore, this new method offers an improvement in the performance of a sensorless vector controller. And, the superiority of the proposed method is verified by simulation.

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Hybrid Position/Force Control of 3 DOF Robot (3자유도 로봇의 하이브리드 위치/힘 제어)

  • 양선호;박태욱;양현석
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1997.04a
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    • pp.772-776
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    • 1997
  • For a robot to perfom more versatile tasks, it is invitable for the robot's end-effector to come into contact with its environment. In thos case, to achieve better performance, it is necessary to properly control the contact force between the robot and the environment. In thos work, hybrid control theory is studied and is verified through experiment using a 3 DOF robot. In the experiment, two position/force controllers are used. Fist, proportional-integral-derivative controller is used as the controller for both position and force. Second, computed-torque method is used as the position controller, and proportional-integral-derivative controller is used as the force controller. For a proper modeling used in computed-torque method, the friction torque is measured by experiment, and compensation method is studied. The hybrid control method used in this experiment effectively control the contact force between the end-effector and the environment for various types of jobs.

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Stability Analysis of a Haptic System with a First-Order-Hold Method (일차 홀드 방식의 반력 구현 시스템에 대한 안정성 해석)

  • Lee, Kyungno
    • Journal of Institute of Control, Robotics and Systems
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    • v.20 no.4
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    • pp.389-394
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    • 2014
  • This paper presents the effect of a reflective force computed from a first-order-hold method on the stability of a haptic system. A haptic system is composed of a haptic device with a mass and a damper, a virtual spring, a sampler and a sample-and-hold. The boundary condition of the maximum virtual stiffness is analytically derived by using the Routh-Hurwitz criterion and the condition shows that the maximum virtual stiffness is proportional to the square root of the mass and the damper of a haptic device and also is inversely proportional to the sampling time to the power of three over two. The effectiveness of the derived condition is evaluated by the simulation. When the reflective forces are computed by using the first-order-hold method, the maximum available stiffness to guarantee the stability is increased several hundred times as large as when the zero-order-hold method is applied.

Cost Allocation among Local Governments for Environmental Infrastructure: A Case Study of Sewage Treatment Plant (환경기초시설의 지자체간의 협력적 운영을 위한 합리적 비용배분: 하수처리장사례를 중심으로)

  • Kim, Chong Won;Han, Dong Geun
    • Journal of Korea Water Resources Association
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    • v.47 no.7
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    • pp.629-641
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    • 2014
  • This study explores methods of allocating costs incurring from construction of environmental infrastructure among local governments involved in the project. Principles for equitable cost-allocation are reviewed, and pros/cons associated with different methods are examined. Proportional Allocation method, Shapley Value method, SCRB (Separable Cost-Remaining Benefits) method are applied to a case of swage treatment plant in Gyeongnam province region, Korea. It is found that the SCRB method produces the most equitable result, followed by Shapley method. The Proportional Allocation method, although easy to understand and simple to calculate, is found to be skewed in favor of small town.

Verification of Control Algorithm for Removing Oil Contaminant Factor from Proportional Pressure Control Valve (전자식 비례 압력제어밸브 내 오일 오염 입자 제거 제어 알고리즘 검증)

  • Cheon, Su Hwan;Park, Jin Kam;Jang, Kyoung Je;Sim, Sung Bo;Jang, Min Ho;Lee, Jin Woong
    • Journal of Drive and Control
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    • v.18 no.4
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    • pp.1-8
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    • 2021
  • An electro proportional pressure control valve is mainly used to control the clutch of an agricultural tractor's automatic transmission. During transmission, the operating, hydraulic oil is mix with many kinds of contaminants. The contaminants can be trapped between the valve body and spool of the proportional pressure control valve leading to abnormal operating conditions and finally critical damage to the transmission hydraulic system. The present study aimed to verify the valve control algorithm as a basic study of developing control logic that removes contaminants between the spool and the body of the proportional pressure control valve. To develop the algorithm, MATLAB/SIMULINK was used. PWM method was used to control the applied solenoid coil current. The effectiveness of the algorithm was verified by comparing the actual pressure of the normal valve with the actual pressure of the abnormal valve. Based on the present study findings, when the algorithm was applied, the response of the valve pressure according to the current became stable and oil contaminated particles were removed. In the future study, the control algorithm will be optimized for the stability of the proportional pressure reducing valve, and it will be verified in consideration with the driving of the clutch.