• Title/Summary/Keyword: Proportional-integral (PI)

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Reduced-order Mapping and Design-oriented Instability for Constant On-time Current-mode Controlled Buck Converters with a PI Compensator

  • Zhang, Xi;Xu, Jianping;Wu, Jiahui;Bao, Bocheng;Zhou, Guohua;Zhang, Kaitun
    • Journal of Power Electronics
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    • v.17 no.5
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    • pp.1298-1307
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    • 2017
  • The constant on-time current-mode controlled (COT-CMC) switching dc-dc converter is stable, with no subharmonic oscillation in its current loop when a voltage ripple in its outer voltage loop is ignored. However, when its output capacitance is small or its feedback gain is high, subharmonic oscillation may occur in a COT-CMC buck converter with a proportional-integral (PI) compensator. To investigate the subharmonic instability of COT-CMC buck converters with a PI compensator, an accurate reduced-order asynchronous-switching map model of a COT-CMC buck converter with a PI compensator is established. Based on this, the instability behaviors caused by output capacitance and feedback gain are investigated. Furthermore, an approximate instability condition is obtained and design-oriented stability boundaries in different circuit parameter spaces are yielded. The analysis results show that the instability of COT-CMC buck converters with a PI compensator is mainly affected by the output capacitance, output capacitor equivalent series resistance (ESR), feedback gain, current-sensing gain and constant on-time. The study results of this paper are helpful for the circuit parameter design of COT-CMC switching dc-dc converters. Experimental results are provided to verify the analysis results.

Permanent Magnet Synchronous Motor Control Algorithm Based on Stability Margin and Lyapunov Stability Analysis

  • Jie, Hongyu;Xu, Hongbing;Zheng, Yanbing;Xin, Xiaoshuai;Zheng, Gang
    • Journal of Power Electronics
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    • v.19 no.6
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    • pp.1505-1514
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    • 2019
  • The permanent magnet synchronous motor (PMSM) is widely used in various fields and the proportional-integral (PI) controller is popular in PMSM control systems. However, the motor parameters are usually unknown, which can lead to a complicated PI controller design and poor performance. In order to design a PI controller with good performance when the motor parameters are unknown, a control algorithm based on stability margin is proposed in this paper. First of all, based on the mathematical model of the PMSM and the least squares (LS) method, motor parameters are estimated offline. Then based on the estimation values of the motor parameters, natural angular frequency and phase margin, a PI controller is designed. Performance indices including the natural angular frequency and the phase margin are used directly to design the PI controller in this paper. Scalar functions of the d-loop and the q-loop are selected. It can be seen that the designed controller parameters satisfy Lyapunov large scale asymptotic stability theory if the natural angular frequencies of the d-loop and the q-loop are large than 0. Experimental results show that the parameter estimation method has good accuracy and the designed PI controller proposed in this paper has good static and dynamic performances.

Superheat Control of an Inverter-driven Heat Pump Using PI Control Algorithm

  • Park, Jong-Min;Kim, Yong-Chan
    • International Journal of Air-Conditioning and Refrigeration
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    • v.10 no.2
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    • pp.106-115
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    • 2002
  • The performance of an inverter-driven water-to-water heat pump with an electronic expansion valve (EEV) was measured as a function of compressor frequency, load conditions, and EEV opening. Based on the test results, a controller using proportional integral (PI) feedback or PI feedforward algorithm was designed and tested to investigate capacity modulation and transient response control of the system. Although the relation between superheat and EEV opening of the heat pump showed nonlinear characteristics, a control gain obtained at the rated frequency was applicable to various operating conditions without causing large deviations. When the simple PI feedback control algorithm was applied, a large overshoot of superheat and wet compression were observed due to time delay effects of compressor frequency. However, applying PI feedforward control scheme yielded better system performance and higher reliability, compared to the PI feedback algorithm.

Design of a Surface-Mounted PMSM Current Controller Using Uncertainty Estimation with a PI Observer (PI 관측기의 불확실성 추정을 이용한 표면부착형 영구자석 동기기의 전류 제어기 설계)

  • Kim, In-Hyuk;Choi, Dae-Sik;Son, Young-Ik
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.60 no.5
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    • pp.1011-1016
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    • 2011
  • This paper presents a robust current controller for a surface-mounted permanent magnet synchronous motor(SPMSM) by using a PI observer. The decoupling PI(proportional-integral) controller combined with an additional feed-forward compensation has been used for the current controller. The classical feed-forward compensation using velocity information and system parameters is not expected to achieve a robust performance against parameter uncertainties. This paper has adopted a PI observer for the feed-forward compensation to cope with parameter uncertainties without using velocity information. A simple PI observer has been designed to compensate the disturbances that represent velocity coupled terms and parameter uncertainties. Experimental results as well as computer simulations with 630W SPMSM confirm that the proposed approach can deal with the effects of the disturbance and improve the control performance.

Design of Complex Fault Detection and Isolation for Sensor and Actuator by Using Unknown Input PI Observer (미지 입력 PI 관측기를 이용한 센서 및 구동기의 복합 고장진단)

  • 김환성
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 1999.05a
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    • pp.437-441
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    • 1999
  • In this paper, a fault diagnosis method using unknown-input proportional integral (PI) observers including the magnitude of actuator failures is proposed. It is shown that actuator failures are detected and isolated perfectly by monitoring the integrated error between the actual output and the estimated output using an unknown-input PI observer. Also in presence of complex actuator and sensor failures, these failures are detected and isolated by multiple unknown-input PI observers perfectly.

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Design of a self-tunig PI speed controller for servo systems (서보전동기 구동시스템의 자기동조 비례적분 속도제어기 설계)

  • Moon, K.;Jeong, Y.;Son, Y.
    • Proceedings of the KIEE Conference
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    • 2008.04c
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    • pp.128-130
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    • 2008
  • This paper presents an algorithm to design a self-tuning proportional-integral(PI) speed controller for servo systems. The control gains are calculated with estimated system parameters, i.e. inertia and viscous damping which are estimated by initial operation. The simulation and experimental results show the feasibility and performance of the proposed algorithm.

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Single-Phase Seven-Level Grid-Connected Inverter Employing Digital PI Controller (디지털 PI 컨트롤을 사용한 단상 7레벨 연계형 인버터)

  • Le, Tuan-Vu;Choi, Woo-Seok;Park, Jin-Wook;Park, Sung-Jun
    • Proceedings of the KIPE Conference
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    • 2015.07a
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    • pp.441-442
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    • 2015
  • This paper proposes a new single-phase seven-level grid-connected inverter. Operational principle with switching function are analyzed. A digital proportional-integral current-control algorithm was implemented in a TMS320F28335 DSP to keep the current injected into the grid sinusoidal. To verify the performance of the proposed inverter, PSIM simulation and experimental results are also shown in this paper.

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Conventional versus Fuzzy Control : Performance Evaluation for Lightweight Cartesian Robot Arms

  • Feng, Xiongfeng;Kubik, K.Bogunia
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.49.5-49
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    • 2001
  • The Proportional-Integral-Derivative control scheme is widely used in industries. This paper investigates an alternative control paradigm for controlling lightweight Cartesian robot arms. Fuzzy PI control is used and validated experimentally by comparing performance with a conventional PID control algorithm. The results show the effectiveness of the fuzzy PI control. The fuzzy control shows superior performance in transient response over the conventional one.

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Speed Control of Induction Machines Using Fuzzy Algorithm with Hierarchical Structure

  • Lee, Ho-Seok;Cho, Soon-Bong;Hyun, Dong-Seok
    • Journal of Electrical Engineering and information Science
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    • v.1 no.2
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    • pp.101-108
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    • 1996
  • A new speed controller based on the fuzzy algorithm with hierarchical structure is presented. The input variables of the controller are speed error and its derivative(change of error), where the output variable is the change of torque current command. Several comparisons were performed with conventional PI (proportional plus integral) controller and proposed controller. These controllers are applied to the laboratory model drive system with 2.2kW induction motor. Some simulation and experimental results show that the speed controller using fuzzy algorithm is more robust than the conventional PI controller.

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A study on proportional multiple-resonance controller for harmonic distortion compensation of single phase VSIs (단상 전압 소스 인버터의 고조파 왜곡 보상을 위한 비례 다중 공진 제어기에 관한 연구)

  • Bongwoo Kwak
    • Journal of IKEEE
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    • v.27 no.3
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    • pp.319-326
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    • 2023
  • In this paper, simulation and experimental results are presented, including the implementation of a digital controller for robust output voltage control of a single-phase voltage source inverters (VSIs) and total harmonic distortion (T.H.D.v) analysis. Typically, the VSIs uses a proportional integral (PI) controller for the current controller on the inner loop and a proportional resonant (PR) controller for the voltage controller on the outer loop to control the output voltage. However, non-linear loads still produce high-order odd harmonic distortion. Therefore, in this paper, a proportional multiple resonance (PMR) controller with a resonance controller for odd harmonic frequencies is proposed to suppress harmonic distortion. Analyze the frequency response of controllers for VSI plants and design PMR controllers. Through simulation, the total harmonic distortion characteristics of the output voltage are compared and verified when PI and PMR are used as voltage controllers. Both linear and non-linear loading conditions were considered. Finally, the effectiveness of the PMR controller was demonstrated by applying it to a 3kW VSIs prototype.