Indirect Vector Control of Linear Induction Motors Using Space Vector Pulse Width Modulation

Vector control schemes have recently been used to drive linear induction motors(LIM)in high-performance applications.This trend promotes the development of precise and efficient control schemes for individual motors.This research aims to present a novel framework for speed and thrust force control of LIM using space vector pulse width modulation(SVPWM)inverters.The framework under consideration is developed in four stages.To begin,MATLAB Simulink was used to develop a detailed mathematical and electromechanical dynamicmodel.The research presents a modified SVPWM inverter control scheme.By tuning the proportional-integral(PI)controller with a transfer function,optimized values for the PI controller are derived.All the subsystems mentioned above are integrated to create a robust simulation of the LIM’s precise speed and thrust force control scheme.The reference speed values were chosen to evaluate the performance of the respective system,and the developed system’s response was verified using various data sets.For the low-speed range,a reference value of 10m/s is used,while a reference value of 100 m/s is used for the high-speed range.The speed output response indicates that themotor reached reference speed in amatter of seconds,as the delay time is between 8 and 10 s.The maximum amplitude of thrust achieved is less than 400N,demonstrating the controller’s capability to control a high-speed LIM with minimal thrust ripple.Due to the controlled speed range,the developed system is highly recommended for low-speed and high-speed and heavy-duty traction applications.

Speed Identification of Speed Sensorless Linear Induction Motor Based on MRAS

In the linear induction motor control system,the optical grating speed transducer is susceptible to strong magnetic field interference.What's more,it may reduce motor integration and raise device costs.Therefore a speed identification method to replace grating speed transducer is studied in this article.This speed identification method for linear induction motor mainly adopts Model Reference Adaptive Method(Abbreviated as MRAS)and Popov Hyperstability Theory.The research content of this paper can be divided into four parts.First,the mathematical model of the motor based on the model reference adaptive system structure is deduced.Second,the adaptive law of the estimated speed is solved by Popov hyper-stability theory,which ensures the stability of the system.Third,the simulation model of the linear induction motor speed identification control system based on model reference adaptation is built in the MATLAB environment.Finally,the simulation test and analysis are carried out.The simulation results show that the speed identification control system can track the actual speed of the linear induction motor well in the no-load operation and the load operation,and the stability of the system is guaranteed in the full speed range.

Linearizing Control of Induction Motor Based on Networked Control Systems

A new approach to speed control of induction motors is developed by introducing networked control systems （NCSs） into the induction motor driving system. The control strategy is to stabilize and track the rotor speed of the induction motor when the network time delay occurs in the transport medium of network data. First, a feedback linearization method is used to achieve input-output linearization and decoupling control of the induction motor driving system based on rotor flux model, and then the characteristic of network data is analyzed in terms of the inherent network time delay. A networked control model of an induction motor is established. The sufficient condition of asymptotic stability for the networked induction motor driving system is given, and the state feedback controller is obtained by solving the linear matrix inequalities （LMIs）. Simulation results verify the efficiency of the proposed scheme.

Single neuron network PI control of high reliability linear induction motor for Maglev

The paper deals with a new model of linear induction motor (LIM) to improve the reliability of the system. Based on the normal equation circuit of LIM considering the dynamic end effect, an equivalent circuit model with compensation of large end effect is constructed when the end effect force at synchronism is of braking character. The equivalent circuit model is used for secondary-flux oriented control of LIM. Single neuron network PI unit for LIM servo-drive is also discussed. The effectiveness of mathematical model for drive control is verified by simulations.

A novel method to calculate the thrust of linear induction motor based on instantaneous current value

Because of the end effect, a linear induction motor （LIM） runs in an asymmetrical state even though the winding of each phase is symmetric. Based on the basic principle of the LIM, a new approach was proposed to calculate the thrust of the LIM using the instantaneous current value. A three-phase LIM model with 12 slots and a singlelayer winding was designed to validate this method. The experiments show that when the current is small, the calculated results basically agree with the experiments. The agreement becomes worse with the increase of the current because of the saturation of the primary iron core. The proposed formula is suitable when the iron core of the LIM primary is in an unsaturated state.

The time and space characteristics of magnetomotive force in the cascaded linear induction motor

To choose a reasonable mode of three-phase winding for the improvement of the operating efficiency of cascaded linear induction motor, the time and space characteristics of magnetomotive force were investigated. The ideal model of the cascaded linear induction motor was built, in which the B and C-phase windings are respectively separated from the A-phase winding by a distance of d and e slots pitch and not overlapped. By changing the values of d and e from 1 to 5, we can obtain 20 different modes of three-phase winding with the different combinations of d and e. Then, the air-gap magnetomotive forces of A-, B-, and C-phase windings were calculated by the magnetomotive force theory. According to the transient superposition of magnetomotive forces of A-, B-, and C-phase windings, the theoretical and simulated synthetic fundamental magnetomotive forces under 20 different arrangement modes were obtained. The results show that the synthetic magnetomotive force with d = 2 and e = 4 is close to forward sinusoidal traveling wave and the synthetic magnetomotive force with d = 4 and e = 2 is close to backward sinusoidal traveling wave, and their amplitudes and wave velocities are approximately constant and equal. In both cases, the motor could work normally with ahigh efficiency, but under other 18 arrangement modes （d= 1, e=2; d= 1, e=3; d= 1, e=4;...）, the synthetic magnetomotive force presents obvious pulse vibration and moves with variable velocity, which means that the motor did not work normally and had high energy loss.

Virtual Speed Sensorless Desired Control Strategy of Maglev Single-sided Linear Induction Motors

单边短初级长次级直线感应电机己普遍应用于低速磁悬浮的驱动系统。由于在动态纵向边端效应影响下等效电路不对称，单边直线感应电机（single-sided linear inductionmotor，SLIM）的一些参数非线性变化。传统的应用于旋转电机的无速度传感器方法不再适用。首先分析了SLIM的M／T轴等效电路，选择次级磁链作为速度观测器状态变量。根据李雅普诺夫系统稳定性判据，推导出适用于SLIM的无速度传感器辨识；然后，采用反馈广义积分观测器控制稳态辨识速度的双幅脉振幅值；引入虚拟期望变量（virtualdesiredvariable，VDV）法，利用估算速度参与SLIM的恒滑差频率矢量控制。仿真与实验对所提控制算法的有效性和实用性进行了验证，所得结论可为磁悬浮的无速度传感器控制提供参考。

Adaptive current compensation with nonlinear disturbance observer for single-sided linear induction motor considering dynamic eddy-effect

An adaptive current compensation control for a single-sided linear induction motor(SLIM) with nonlinear disturbance observer was developed. First, to maintain t-axis secondary component flux constant with consideration of the specially dynamic eddy-effect(DEE) of the SLIM, a instantaneously tracing compensation of m-axis current component was analyzed. Second,adaptive current compensation based on Taylor-discretization algorithm was proposed. Third, an effective kind of nonlinear disturbance observer(NDOB) was employed to estimate and compensate the undesired load vibrations, then the robustness of the control system could be guaranteed. Experimental verification of the feasibility of the proposed method for an SLIM control system was performed, and it showed that the proposed adaptive compensation scheme with NDOB could significantly promote speed dynamical response and minimize speed ripple under the conditions of external load coupled vibrations and unavoidable feedback control variables measured errors, i.e., current and speed.

NEW PUNCHING MACHINE DRIVEN BY LINEAR INDUCTION MOTOR

The research and application of the punching machine driven by a linear induction motor(LIM)are introduced.The fundamental principle, construction, performance and application are described. Comparing this new model machine with its traditional form, the LIM driven punching machine has many great advantages, such as, simple construction, small size and mass, low production cost, short production time, easy to control, low noise and considerable energy saving.

A new method to reduce end effect of linear induction motor

A new method to compensate the end effect of a linear induction motor （LIM） in low-speed maglev vehicles is proposed. With this method, the motors are close to each other so that the front motor＇s exit-end magnetic field extends into the next motor＇s entry zone. As a result, the motor＇s magnetic field traveling wave become continuous and the end effect of short primary LIMs is greatly weakened. In the analysis of the air-gap magnetic field distribution, the LIM is assumedly divided into two identical motors vcith the distances of 20, 40, 60, and gO ram. The results show that the air-gap magnetic field is still continuous within these distances due to LIM＇s end effect. As the distance between two motors increases, the distortion of the air-gap magnetic field becomes more severe. Then, we investigate the relationship between the secondary speed and the thrust in three cases, i.e., a single LIM, two motors divided with 72 mm with pole pitch corrected, and two motors divided with 60 mm without the pole pitch being corrected. We find that the thrust has a small decrease when the speed increases, which means that the magnetic field is already continuous and its amplitude is approximately a constant. Furthermore, the thrust loss of case 3 is more than that of case 2, which indicates that the pole pitch correction is effective.

Decoupling Control of 5 Degrees of Freedom Bearingless Induction Motors Using α-th Order Inverse System Method

A 5-degrees-of-freedom bearingless induction motor is a multi-variable,nonlinear and strong-coupled system．In order to achieve rotor suspension and operation steadily,it is necessary to realize dynamic decoupling control among torque and suspension forces．In the paper,a method based on α-th order inverse system theory is used to study dynamic decoupling control．Firstly,the working principles of a 3-degrees-of-freedom magnetic bearing and a 2-degrees-of-freedom bearinglees induction motor are analyzed, the radial-axial force equations of 3-degrees-of-freedom magnetic bearing,the electromagnetic torque equation and radial force equations of the 2-degrees-of-freedom bearingless induction motor are given,and then the state equations of the 5-degrees-of-freedom bearingless induction motor are set up．Secondly,the feasibility of decoupling control based on dynamic inverse theory is discussed in detail,and the state feedback linearization method is used to decouple and linearize the system．Finally,linear control system techniques are applied to these linearization subsystems to synthesize and simulate．The simulation results have shown that this kind of control strategy can realize dynamic decoupling control among torque and suspension forces of the 5-degrees-of-freedom bearingless induction motor,and that the control system has good dynamic and static performance．

Fault detection method with PCA and LDA and its application to induction motor

A feature extraction and fusion algorithm was constructed by combining principal component analysis(PCA) and linear discriminant analysis(LDA) to detect a fault state of the induction motor.After yielding a feature vector with PCA and LDA from current signal that was measured by an experiment,the reference data were used to produce matching values.In a diagnostic step,two matching values that were obtained by PCA and LDA,respectively,were combined by probability model,and a faulted signal was finally diagnosed.As the proposed diagnosis algorithm brings only merits of PCA and LDA into relief,it shows excellent performance under the noisy environment.The simulation was executed under various noisy conditions in order to demonstrate the suitability of the proposed algorithm and showed more excellent performance than the case just using conventional PCA or LDA.

Transformer Characteristics of Linear Motor-Transformer Apparatus

The characteristics of linear transformer are studied analytically. The transformer is composed in one of modes of linear motor-transformer apparatus proposed for future wireless light rail vehicle (LRV). The secondary (onboard) power factor can be adjusted at any value by an onboard converter. The equivalent circuit is used to study the transferred power control. The parameters are determined by three-dimensional finite element method (FEM) analysis for one pole-pair model. Under the rated primary (input) and secondary voltage and current, which are specified for linear motor operation, the characteristics of the secondary power factor are cleared. It is also shown that the input capacitor can improve the primary power factor and decrease the input power capacity, but does not change the efficiency. This linear transformer has the efficiency of 91% and the input power factor of 0.87 when the apparatus without input capacitor is controlled at the secondary power factor of 0.4.

基于扩展卡尔曼滤波的直线感应电机速度观测

为解决在直线感应电机(linear induction motor,LIM)高性能闭环控制系统取消速度传感器后,速度闭环中缺少速度反馈信息问题,在考虑LIM边端效应前提下,实现了一种基于扩展卡尔曼滤波算法的速度观测器。首先,基于考虑边端效应的三相LIM数学模型,推导出具有合适增益和协方差更新矩阵的扩展卡尔曼滤波观测器,并基于LIM的矢量控制系统,将观测器辨识的速度参数反馈到速度闭环系统中。然后,在Simulink中搭建带有速度观测器的LIM矢量控制系统模型,对观测器的辨识速度和电机实际速度进行对比。结果表明,利用辨识速度进行闭环控制可以保证系统稳定运行。在3种负载情况下,观测器的预测速度和实际速度之间的误差在0.51%~2.34%之间。对系统多种动态性能进行分析可知,基于扩展卡尔曼滤波观测器的LIM矢量控制系统,随着负载增大,预测速度的误差增大,推力误差减小,磁链幅值误差略微增大。因此,在考虑边端效应情况下,基于扩展卡尔曼滤波的观测器可以代替速度传感器实现空载和带载时的三相LIM控制。

基于模糊扩展卡尔曼的直线感应电机无速度传感器控制

直线感应电机(linear induction motor,LIM)可实现无接触、无摩擦的直线运动,具有爬坡强、横断面小、低噪音等优势,在中低速磁悬浮与城市轨道交通中被广泛应用。其中,基于观测器的电机无速度传感器矢量控制方法,是解决速度传感器成本高、可靠性低、维护难等问题的有效途径。针对LIM速度辨识受系统内外扰动影响导致观测精度下降问题,提出基于模糊扩张卡尔曼滤波(Fuzzy Extended Kalman Filter,FEKF)的速度观测方法,提高观测器鲁棒性。首先在αβ坐标系下建立考虑动态边端效应的LIM数学模型,利用LIM的实时电流和电压作为输入信号,以电流、磁链和速度作为状态变量,推导出基于扩展卡尔曼滤波(extended kalman filter,EKF)观测器电机状态空间方程的离散模型,利用EKF对LIM的速度和磁链进行在线观测,并用于实现LIM的矢量控制。其次,为提高EKF的噪声协方差矩阵Q对LIM系统内外扰动的鲁棒性,引入模糊控制方法对矩阵Q进行自适应调整,实现速度与磁链的估计精度。具体通过计算系统理论残差与实际残差的偏离程度得到噪声调节因子,实时调整噪声协方差矩阵Q,并在下一周期更新模糊扩展卡尔曼的反馈增益矩阵,提高对速度与磁链的估计精度。之后对系统的能观性与FEKF的收敛性进行分析,探明矩阵Q中各参数的边界及整定规律。最后通过仿真和硬件在环实验验证所提FEKF优化算法的有效性,结果表明FEKF能有效提高对LIM速度辨识准确性,实现LIM无速度传感器矢量控制。

高速磁浮动车直线电机（LIM）三维法的特性计算

介绍一种计算误差较小的，新型的三维空间谐波分析法。着重阐述其特性计算公式的导出以及气隙磁密的空间分布、实例计算的分析等。

考虑边端效应及参数变化的直线感应电机MRAS速度观测方法

以轨道交通直线感应电机(Linear Induction Motor,LIM)牵引驱动系统速度观测器为研究对象,针对边端效应及电机参数变化导致辨识结果实时性、鲁棒性不足的问题,提出一种基于二阶超螺旋滑模的改进模型参考自适应系统(Model Reference Adaptive System,MRAS)速度观测方法。首先,以计及动态边端效应的初次级电压电流磁链方程为核心,设计直线感应电机标准MRAS速度观测器,降低边端效应对速度辨识性能的影响。然后,进一步分析初级集肤效应和初次级横向错位对标准MRAS速度观测器辨识性能的影响。在此基础上,基于二阶超螺旋算法对MRAS参考模型进行改进,利用主滑模面和辅助滑模面对次级磁链观测的干扰项进行补偿,同时抑制由于滑模算法引入的系统抖振,提高了速度观测器的鲁棒性和动态性能。最后,搭建仿真和硬件在环实验环境进行算法验证。实验结果表明:励磁互感及其他电机参数随边端效应修正因子变化,标准MRAS观测器在突加负载、引入测量误差和电机参数突变的工况下,速度辨识误差明显;改进的MRAS观测器能够实现直线感应电机速度的快速、准确辨识,基于该速度观测器的矢量控制策略,在突加负载、引入测量误差和电机参数突变的工况下,控制性能满足设计要求。研究结果能为轨道交通直线感应电机无速度传感器牵引驱动系统的研究提供一定借鉴。

基于在线运行条件下的直线感应电机电磁力特性分析

文章对中低速磁浮列车用直线感应电机电磁力特性相关磁路计算原理进行了分析,建立了电磁计算模型,推导了综合考虑电机横向、纵向边端效应时电机推力和法向力的计算表达式,并结合在线运行条件,分析了气隙、转差频率和电压等对电机推力和法向力的影响。最终,通过试验验证了模型的准确性。