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Dual-negative-objective Coordinated Control of Brushless Doubly Fed Induction Generator under Unbalanced Grid Voltage
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作者 Ming Cheng Zheng Cao Xiaoming Yan 《CES Transactions on Electrical Machines and Systems》 EI CSCD 2024年第3期347-355,共9页
This article proposes a dual-negative-objective coordinated control strategy for brushless doubly fed induction generator(BDFIG)based wind power generation system under unbalanced grid voltage.To alleviate the mechani... This article proposes a dual-negative-objective coordinated control strategy for brushless doubly fed induction generator(BDFIG)based wind power generation system under unbalanced grid voltage.To alleviate the mechanical stress and impaction on rotating shaft,the negative control objective(NCO)of machine side converter(MSC)is set to suppress the ripple of electromagnetic torque.While the NCO of grid side converter(GSC)is selected to suppress the oscillation of total output active power or the unbalanced degree of total output current for BDFIG generation system.In comparison with traditional single converter control scheme of the MSC or GSC,dual NCOs can be satisfied at the same time due to the enlarged freedom degree in the proposed improved coordinated control system for back-toback converters.The effectiveness of proposed control strategy is validated by simulation and experimental results on a dual-cagerotor BDFIG(DCR-BDFIG)prototype. 展开更多
关键词 brushless doubly fed induction generator Dual-negative-objective Freedom degree Unbalanced grid voltage
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Controller Design for Induction and Brushless Motors Using Matlab with Digital Signal Processor (DSP)
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作者 B.R.Claros Poveda R.Castro Castro 《Journal of Mechanics Engineering and Automation》 2023年第4期117-126,共10页
The automation process is a very important pillar for Industry 4.0.One of the first steps is the control of motors to improve production efficiency and generate energy savings.In mass production industries,techniques ... The automation process is a very important pillar for Industry 4.0.One of the first steps is the control of motors to improve production efficiency and generate energy savings.In mass production industries,techniques such as digital signal processing(DSP)systems are implemented to control motors.These systems are efficient but very expensive for certain applications.From this arises the need for a controller capable of handling AC and DC motors that improves efficiency and maintains low energy consumption.This project presents the design of an adaptive control system for brushless AC induction and DC motors,which is functional to any type of plant in the industry.The design was possible by implementing Matlab software and tools such as digital signal processor(DSP)and Simulink.Through an extensive investigation of the state of the art,three models needed to represent the control system have been specified.The first model for the AC motor,the second for the DC motor and the third for the DSP control;this is done in this way so that the probability of failure is lower.Subsequently,these models have been programmed in Simulink,integrating the three main models into one.In this way,the design of a controller for use in AC induction motors,specifically squirrel cage and brushless DC motors,has been achieved.The final model represents a response time of 0.25 seconds,which is optimal for this type of application,where response times of 2e-3 to 3 seconds are expected. 展开更多
关键词 Motor Control Digital Signal Processor(DSP) Industry 4.0 Inductive Motor brushless Motor.
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New Method to Restrain Pumping Voltage of Braking Procedure for Brushless DC Motor of Electric Armored Vehicle 被引量:3
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作者 郑慕侨 宋小庆 +1 位作者 孙德福 臧克茂 《Journal of Beijing Institute of Technology》 EI CAS 2002年第2期137-141,共5页
In order to restrain the high pumping voltage of braking procedure which is harmful to the system of electric armored vehicle. Based on the analysis of pumping voltage of the braking procedure, the relation between pu... In order to restrain the high pumping voltage of braking procedure which is harmful to the system of electric armored vehicle. Based on the analysis of pumping voltage of the braking procedure, the relation between pumping voltage and PWM ratio is derived and a new digital control method to restrain the pumping voltage by changing PWM ratio is put forward. Because the capacitance is decreased effectively, the volume of controller is reduced and the performance to price ratio is improved. The results of computer simulation and experiment proved that this method is feasible and valid. 展开更多
关键词 electrical armored vehicle brushless DC motor regenerative braking
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ROTOR FAULT DIAGNOSIS OF BRUSHLESS AC GENERATOR WITH ROTARY RECTIFIER 被引量:1
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作者 龚春英 严仰光 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 1995年第1期64-71,共8页
With a three-phase bridge type rectification, some typical rotor faults of a brushless AC generator with a rotary rectifier is analyzed in this paper by the help of computer digital simulation. It is also proPOsed tha... With a three-phase bridge type rectification, some typical rotor faults of a brushless AC generator with a rotary rectifier is analyzed in this paper by the help of computer digital simulation. It is also proPOsed that the rotor faults, whether exist or not, and the causes of the faults may be determined through the monitoring of the average value of the exciting current of the exciter and its principal harmonics. 展开更多
关键词 brushless excitation rotors fault diagnosis SIMULATION
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Anti-reverse rotation startup method for sensorless brushless DC motor
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作者 林明耀 张智尧 +1 位作者 林克曼 周谷庆 《Journal of Southeast University(English Edition)》 EI CAS 2009年第2期199-202,共4页
In order to start up the brushless DC motor (BLDCM) without reverse rotation and smoothly switch the running state of the motor, a novel startup and smoothly switching method for a sensodess BLDCM is presented. Base... In order to start up the brushless DC motor (BLDCM) without reverse rotation and smoothly switch the running state of the motor, a novel startup and smoothly switching method for a sensodess BLDCM is presented. Based on the saturation effect of the stator iron, six short voltage pulses are applied to determine the initial rotor position and the rotor can be found within 60°. After that, a series of short and long voltage pulses are used to accelerate the motor and the variation of the response current is utilized to detect the rotor position dynamically. When the motor reaches a certain speed at which the back-electromotive force (EMF) method can be applied, all the power devices are turned off and the running state of the motor is smoothly switched at the moment determined by the relationship between the terminal voltage waveform and the commutation phases. The experimental results verify the feasibility and validity of the proposed method. 展开更多
关键词 brushless DC motor sensorless control anti-reverse rotation back-electromotive force switch
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EFFECTIVE DOUBLE LOOP CONTROL FOR A SQUARE WAVE BRUSHLESS DC MOTOR
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作者 周波 李先祥 朱震莲 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 1996年第2期34+30-33,共5页
A new type of brushless DC motor has been developed by using a square wave rare earth permanent magnet synchronous motor with its double loop control circuit. The double loop control scheme of the drive system yie... A new type of brushless DC motor has been developed by using a square wave rare earth permanent magnet synchronous motor with its double loop control circuit. The double loop control scheme of the drive system yields a combination of desired characteristics including simplified control structure, small ripple torque, high speed accuracy, wide operating speed range, and fast dynamic response. Experimental results confirm excellent characteristics of the motor. 展开更多
关键词 synchronous motors speed control systems INVERTERS brushless DC motor double loop control square wave motors
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Design and implementation of a position sensorless control method for brushless DC motors
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作者 朱成礼 wang yan-zhong 《Journal of Chongqing University》 CAS 2016年第2期43-51,共9页
Because brushless direct current(BLDC) motors have the advantages of a compact size, high power density, high efficiency, and long operating life time, they are widely used in many industrial products and electric tra... Because brushless direct current(BLDC) motors have the advantages of a compact size, high power density, high efficiency, and long operating life time, they are widely used in many industrial products and electric traction systems. It is known that the BLDC motors have no brushes for commutation. They are commutated with electronically commutation. So, the rotor position information of the BLDC motors must be known to understand which winding will be energized according to the energizing sequence. In most of the existing BLDC motor drivers, rotor position information is detected by Hall effect sensors. This kind of mechanical position sensors will bring additional connections and costs, reliability decrease and noise increase. In order to improve the control performance and extend the range of speed regulation for BLDC motors, a position sensorless control method is proposed in this paper. In the proposed control method, rotor position information of the BLDC motors is detected from the back electromagnetic forces(back-EMFs) which are estimated by an unknown-input observer with line to line currents and line to line voltages. For the purpose of verifying the effectiveness of the proposed control method, a model is built and simulated on the Matlab/Simulink platform. The simulation results show that the speed regulation performance of BLDC motors is improved compared with using Hall effect sensors. At the same time, the reliability of the BLDC motors is improved and the costs of them are reduced because the position sensor is eliminated. 展开更多
关键词 brushless DC motor brushless direct current(BLDC) speed control position sensorless INVERTER
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Simulation Research of Fault Model of Detecting Rotor Dynamic Eccentricity in Brushless DC Motor Based on Motor Current Signature Analysis 被引量:12
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作者 赵向阳 葛文韬 《中国电机工程学报》 EI CSCD 北大核心 2011年第36期I0011-I0011,共1页
基于Ansoft/Maxwell设置动态偏心故障,建立求解电机电感和磁链的有限元模型,通过仿真,证明了将感应电机动态偏心故障的特征频率经过简化后,同样适用于无刷直流电动机。基于Ansoft/Simplorer建立无刷直流电动机系统的仿真模型。在... 基于Ansoft/Maxwell设置动态偏心故障,建立求解电机电感和磁链的有限元模型,通过仿真,证明了将感应电机动态偏心故障的特征频率经过简化后,同样适用于无刷直流电动机。基于Ansoft/Simplorer建立无刷直流电动机系统的仿真模型。在电机稳态运行下,对定子电流进行傅里叶分析,研究并建立基于定子电流监测动态偏心故障的仿真模型:动态偏心故障与特征频率的关系、动态偏心故障程度与特征频率幅值的关系。进而研究了无刷直流电动机稳态运行时转速波动对偏心故障监测的影响。仿真结果表明,转子偏心程度加大,特征频率的幅值增加。 展开更多
关键词 电机转子 故障检测 电流特征 偏心 直流 仿真 模型 机械故障
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Robust Control Strategy for the Speed Control of Brushless DC Motor 被引量:9
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作者 Zhi Liu Bai-Fen Liu 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2013年第2期90-94,共5页
Brushless DC motor ( BLDCM) speed servo system is multivariable,nonlinear and strong coupling. The parameter variation, the cogging torque and the load disturbance easily influence its performance. Therefore,it is dif... Brushless DC motor ( BLDCM) speed servo system is multivariable,nonlinear and strong coupling. The parameter variation, the cogging torque and the load disturbance easily influence its performance. Therefore,it is difficult to achieve superior performance by using the conventional PID controller. To solve the deficiency,the paper represents the algorithm of active-disturbance rejection control ( ADRC) based on back-propagation ( BP) neural network. The ADRC is independent on accurate system and its extended-state observer can estimate the disturbance of the system accurately. However,the parameters of Nonlinear Feedback ( NF) in ADRC are difficult to obtain. So in this paper,these parameters are self-turned by the BP neural network. The simulation and experiment results indicate that the ADRC based on BP neural network can improve the performances of the servo system in rapidity,control accuracy,adaptability and robustness. 展开更多
关键词 brushless DC motor ( BLDCM) BP ( back propagation algorithms) ADRC ( active-disturbance rejection control) parameters self-turning.
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Integrated design of brushless motor drive and control system for robot joints 被引量:4
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作者 MO Shuai LI Xu +4 位作者 YANG Zhen-ning ZHOU Chang-peng GAO Han-jun CEN Guo-jian HUANG Yun-sheng 《Journal of Central South University》 SCIE EI CAS CSCD 2021年第12期3818-3828,共11页
To meet the requirements of high performance, low cost, and easy operation of the robot, a brushless motor drive and control system for the robot joint is designed, including CAN bus, WPF upper host computer developme... To meet the requirements of high performance, low cost, and easy operation of the robot, a brushless motor drive and control system for the robot joint is designed, including CAN bus, WPF upper host computer development, and magnetic encoders, and other sensors, in which the STM32 F103 chip is used as the main control chip, and the DRV8323 is a brushless motor drive chip. The principle of field-oriented control(FOC) brushless motor drive is elaborated.Meanwhile, the drive and control system design is completed from both hardware and software aspects. Finally, the PID algorithm is used for the closed-loop speed test of the robot joint. The experimental result shows that the designed robot joints and control system run smoothly and reliably, have the characteristics of modularization and miniaturization, and are suitable for the control of micro-service robots and manipulators. 展开更多
关键词 robot joint brushless motor control system upper computer
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Torque Ripple Suppression Control Strategy for Brushless Integrated Starter/Generator Wound-Field Synchronous Motor 被引量:2
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作者 骆光照 张围围 +2 位作者 杨南方 马鹏 刘卫国 《Defence Technology(防务技术)》 SCIE EI CAS 2012年第3期154-160,共7页
A flux linkage compensation field oriented control (FOC) method was proposed to suppress the speed and torque ripples of a brushless wound-field synchronous motor in its starting process. The starting process was anal... A flux linkage compensation field oriented control (FOC) method was proposed to suppress the speed and torque ripples of a brushless wound-field synchronous motor in its starting process. The starting process was analyzed and the model of wound-field synchronous electric machine was established. The change of field current of the electric machine was described mathematically for simplified exciter and rotate rectifier. Based on the traditional field control, the flux linkage compensation was introduced in d-axis current to counteract the flux ripple. Some simulation and preliminary experiments were implemented. The results show that the proposed method is feasible and effective. 展开更多
关键词 electrical engineering brushless ISG wound-field synchronous motor torque ripple suppression flux linkage compensation starting control
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REALIZATION OF FUZZY-FILTER CONTROL ON A BRUSHLESS AC GENERATOR 被引量:2
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作者 陈志辉 严仰光 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2000年第3期172-176,共5页
The transistor voltage regulators have been widely adopted in the brushless AC generators in aircraft. This paper researches the digital voltage regulator. The paper presents the hardware platform of the digital volta... The transistor voltage regulators have been widely adopted in the brushless AC generators in aircraft. This paper researches the digital voltage regulator. The paper presents the hardware platform of the digital voltage regulator, which is based on a DSP chip — TMS320C32. A novel fuzzy filter control structure is developed from normal fuzzy control strategy. And the fuzzy filter control algorithm is adopted in the hardware platform successfully. The computer simulation has been conducted. Some control parameters have been obtained through the simulation. The same parameters have been applied in the digital regulation experiments on a brushless AC generator. In the experiment, the digital voltage regulator results in good responses. From the experiment results, it can be seen that the new control algorithm is efficient for the digital voltage regulator. 展开更多
关键词 voltage regulator fuzzy control brushless AC generator (BLACG) FILTER digital signal processor (DSP)
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Performance Description of Brushless Doubly-Fed Induction Machine in Its Asynchronous and Variable Speed Synchronous Modes 被引量:3
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作者 Hamed Gorginpour Hashem Oraee Richard A. McMahon 《Journal of Electromagnetic Analysis and Applications》 2011年第12期490-511,共22页
Brushless Doubly-Fed Machine has attracted considerable attention in recent years due to its advantages. It has the robustness of the squirrel cage induction machine, and the speed and power factor controllability of ... Brushless Doubly-Fed Machine has attracted considerable attention in recent years due to its advantages. It has the robustness of the squirrel cage induction machine, and the speed and power factor controllability of the synchronous machine as well as the absence of brushes and slip rings, and using a fractionally rated frequency converter. Hence, there are considerable benefits over the conventional machines, when the machine is applied to applications such as a wind turbine generator or high power adjustable speed drive. However, these benefits are obtained in slightly more complex structure, higher cost and larger dimensions in comparison to the conventional induction machine. This paper presents fundamental aspects of the three modes of operation of brushless doubly fed machine, i.e. simple induction mode, cascade induction mode, and synchronous mode. The investigation is performed by analyzing the spatial harmonic contents of the rotor magnetic flux density. The direct cross couplings between stator and rotor fields as well as, indirect cross coupling between stator fields by the special rotor of this machine is described. Furthermore, loss analysis of the machine in various modes is presented and the torque-speed curves for asynchronous modes are obtained. A 2-D magnetodynamic finite element model based on the D-180 4/8 pole prototype machine is extracted and simulated to verify the results. 展开更多
关键词 brushless DOUBLY Fed Machine (BDFM) CASCADE INDUCTION MODE Direct and Indirect Cross Coupling Nested Loop Rotor Simple INDUCTION MODE Spatial Harmonic SYNCHRONOUS MODE
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Research on Control Strategy of Grid-connected Brushless Doubly-fed Wind Power System Based on Virtual Synchronous Generator Control 被引量:6
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作者 Shuai Liang Shi Jin Long Shi 《CES Transactions on Electrical Machines and Systems》 CSCD 2022年第4期404-412,共9页
The brushless doubly-fed wind power system based on conventional power control strategies lacks ‘inertia’ and the ability to support grid,which leads to the decline of grid stability.Therefore,a control strategy of ... The brushless doubly-fed wind power system based on conventional power control strategies lacks ‘inertia’ and the ability to support grid,which leads to the decline of grid stability.Therefore,a control strategy of brushless doubly-fed reluctance generator(BDFRG) based on virtual synchronous generator(VSG) control is proposed to solve the problem in this paper.The output characteristics of BDFRG based on VSG are similar to a synchronous generator(SG),which can support the grid frequency and increase the system ‘inertia’.According to the mathematical model of BDFRG,the inner loop voltage source control of BDFRG is derived.In addition,the specific structure and parameter selection principle of outer loop VSG control are expounded.The voltage source control inner loop of BDFRG is combined with the VSG control outer loop to establish the overall architecture of BDFRG-VSG control strategy.Finally,the effectiveness and feasibility of the proposed strategy are verified in the simulation. 展开更多
关键词 Virtual synchronous generator brushless doubly-fed relutance generator Grid support ability Voltage source control
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Design optimization of a slotless PM brushless motor with helical edge wound laminations for rim driven thrusters 被引量:4
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作者 Sharkh S M Lai S H 《High Technology Letters》 EI CAS 2010年第1期70-79,共10页
This paper discusses the analysis and design of a very thin slotless permanent magnet (PM) brushless motor whose stator laminations are manufactured from a single strip of steel that is edge wound into a spiral (li... This paper discusses the analysis and design of a very thin slotless permanent magnet (PM) brushless motor whose stator laminations are manufactured from a single strip of steel that is edge wound into a spiral (like a "Slinky") and then fitted over the windings that are preformed on the outside surface of a non-conducting former. Analytical and finite element analysis (FEA) are used to determine the con- strained optimum dimensions of a motor used to drive a rim driven thruster in which the motor rotor is fit- ted onto the rim of the propeller and the stator is encapsulated in the thin Kort nozzle of the thruster. The paper describes the fabrication of a demonstrator motor and presents experimental results to validate the theoretical calculations. Experimental motor performance results are also reported and compared with those of a slotted motor that fits within the same active radial dimensions as the slotless motor. The slotless motor, which has longer active length and endwindings, and thicker magnets than the slotted motor, was found to be less efficient and more expensive (prototype cost) than the slotted machine. 展开更多
关键词 slotless brushless permanent magnet (PM) motor edge-wound laminations rim driven thruster
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Simplified EKF Based Sensorless Direct Torque Control of Permanent Magnet Brushless AC Drives 被引量:1
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作者 David Howe 《International Journal of Automation and computing》 EI 2004年第1期35-41,共7页
A simplified extended Kalman filter (EKF) based sensorless direct torque control technique for a permanent magnet brushless AC drive is proposed. Its performance is compared with that obtained with other sensorless me... A simplified extended Kalman filter (EKF) based sensorless direct torque control technique for a permanent magnet brushless AC drive is proposed. Its performance is compared with that obtained with other sensorless methods for estimating the rotor speed and position from a stator flux-linkage. Since the EKF has an inherently adaptive filtering capability and does not introduce phase delay, the technique provides better speed estimates. In addition, the technique is easy to implement and requires minimal computation. 展开更多
关键词 brushless motor direct torque control (DTC) extended Kalman filter (EKF) permanent magnet SENSORLESS
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Comparative Study between the PID Regulator and the Fuzzy Regulator Applied to the Operation of a Brushless DC Motor 被引量:2
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作者 Mamadou Sall Abdoulaye Kebe +1 位作者 Ibrahima Gueye Moustapha Diop 《Energy and Power Engineering》 2021年第11期365-376,共12页
This paper presents the results of research on speed regulation of a brushless DC motor</span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;">&l... This paper presents the results of research on speed regulation of a brushless DC motor</span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;">. </span></span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;">This is mainly a comparative study between a PID regulator and a fuzzy regulator applied to the operation of this type of engine in order to find the best control. The BLDC engine must operate under various speed and load conditions with improved performance and robust and complex speed control. Because of this complexity, the traditional PID command encounters difficulties in controlling the speed of a BLDC. Another control technique is currently developing and is producing good results. This is the fuzzy controller that handles process control problems, that is, managing a process based on a given set point per action on the variables that describe the process. To achieve the desired results, the brushless DC machine model will be studied. With the model obtained, both types of regulator will be tested. A synthesis of the observed comparison results will enable a conclusion to be drawn on the performance of the two types of regulators driving a BLDC (Brushless DC)</span></span></span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;">. 展开更多
关键词 Fuzzy Logic Controller PID Controller brushless DC Motor DC Motor
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Robust Position Observer for Sensorless Direct Voltage Control of Stand-Alone Ship Shaft Brushless Doubly-Fed Induction Generators 被引量:4
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作者 Mohamed G.Hussien Yi Liu Wei Xu 《CES Transactions on Electrical Machines and Systems》 CSCD 2019年第4期363-376,共14页
The aim of this paper is to investigate an adaptive sensorless direct voltage control(DVC)strategy for the stand-alone ship shaft brushless doubly-fed induction generators(BDFIGs).The proposed new rotor position obser... The aim of this paper is to investigate an adaptive sensorless direct voltage control(DVC)strategy for the stand-alone ship shaft brushless doubly-fed induction generators(BDFIGs).The proposed new rotor position observer using the space vector flux relations of BDFIG may achieve the desired voltage control of the power winding(PW)in terms of magnitude and frequency,without any speed/position sensors.The proposed algorithm does not require any additional observers for obtaining the generator speed.The proposed technique can directly achieve the desired DVC based on the estimated rotor position,which may reduce the overall system cost.The stability analysis of the proposed observer is investigated and confirmed with the concept of quadratic Lyapunov function and using the multi-model representation.In addition,the sensitivity analysis of the presented method is confirmed under different issues of parameter uncertainties.Comprehensive results from both simulation and experiments are realized with a prototype wound-rotor BDFIG,which demonstrate the capability and efficacy of the proposed sensorless DVC strategy with good transient behavior under different operating conditions.Furthermore,the analysis confirms the robustness of the proposed observer via the machine parameter changes. 展开更多
关键词 brushless doubly-fed induction generator(BDFIG) direct voltage control(DVC) PW voltage-oriented vector control rotor position observer ship shaft applications.
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A neural network-based commutation optimization strategy and drive system design for brushless DC motor 被引量:1
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作者 Liu Yuxiang Yao Zhaolin +3 位作者 Yuan Fang Liu Ming Li Xiang Zhang Xu 《High Technology Letters》 EI CAS 2021年第4期448-453,共6页
An optimized commutation method based on backpropagation(BP)neural network is proposed to resolve the low stability and high-power consumption caused by inaccurate commutation point prediction in conventional commutat... An optimized commutation method based on backpropagation(BP)neural network is proposed to resolve the low stability and high-power consumption caused by inaccurate commutation point prediction in conventional commutation strategy during acceleration and deceleration.This article also builds a complete brushless DC motor drive system based on the GD32F103 micro control unit(MCU),with an Artix-7 XC7A35T field programmable gate array(FPGA)to meet the performance requirements of neural network calculation for real-time motor commutation control.Experimental results show that the proposed optimization strategy can effectively improve the system stability during system acceleration and deceleration,and reduce the current spikes generated during speed chan-ges.The system power consumption is reduced by about 11.7%on average. 展开更多
关键词 brushless DC motor senseless control back electromotive force neural network hardware implantation field programmable gate array(FPGA)
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Analysis of Torque Ripple of Permanent Magnet Brushless DC Motor
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作者 张志忠 孙力 陆永平 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 1997年第2期89-94,共6页
Torque tripple has significant effect on performance of permanent magnet brushless DC motor. This paper presents a mathematical model built for such a motor, the analysis of torque tripple for a brushless DC motor wit... Torque tripple has significant effect on performance of permanent magnet brushless DC motor. This paper presents a mathematical model built for such a motor, the analysis of torque tripple for a brushless DC motor with sinusoidal flux distribution, which is verified by torque tripple experiments run with a test motor, and equations developed for torque tripple resulting from different sator current errors. 展开更多
关键词 PERMANENT MAGNET brushless DC MOTOR TORQUE RIPPLE Park transfer sinusoidal flux distribution
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