西安交通大学电气工程学院,西安,710049
网络首发:2017-03-10,
纸质出版:2017
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徐益飞, 张鹏, 张博, 等. 异步电机全分数阶矢量控制系统的设计与实现[J]. 西安交通大学学报, 2017,51(3):111-115+121.
Design and Implementation of the Full Fractional Order Vector Control System for Asynchronous Motors[J]. 2017, 51(3): 111-115+121.
徐益飞, 张鹏, 张博, 等. 异步电机全分数阶矢量控制系统的设计与实现[J]. 西安交通大学学报, 2017,51(3):111-115+121. DOI: 10.7652/xjtuxb201703019.
Design and Implementation of the Full Fractional Order Vector Control System for Asynchronous Motors[J]. 2017, 51(3): 111-115+121. DOI: 10.7652/xjtuxb201703019.
为实现异步电机的高性能控制
提出了一种基于全分数阶PI
λ
D
μ
控制器的矢量控制系统设计方法。根据分数阶控制器的数学特征
确定矢量控制系统中分数阶电流环控制器和分数阶电压环控制器的形式; 根据相位裕量、幅值及增益鲁棒性准则求出分数阶控制器的参数; 在数值仿真中
采用Oustaloup递归滤波器来实现分数阶算子的近似和有理化
对比了同样设计标准下整数阶控制器和分数阶控制器在横转速、转速变化和负载突变下的动态性能。对所提控制方法进行了实验验证
结果表明:相较于采用整数阶PID控制器系统
采用电流转速双闭环全分数阶PI
λ
D
μ
控制器系统的跟随性能和抗扰性能更优
使用分数阶的矢量控制系统能使阶跃响应的超调量和调节时间分别下降24.84%和7.35%
在输入变化的系统中分数阶的动态降落为整数阶的22.5%。研究结果表明
所提分数阶控制器的设计方法可用于异步电机高性能矢量控制系统。
In order to achieve high-performance motor control
a design method of vector control system using full fractional-order PI
λ
D
μ
controller based on the theory of fractional calculus is proposed. According to the mathematical characteristics of the fractional-order controller
the forms of fractional-order current loop controller and voltage loop controller in vector control system are determined. Then the parameters of the fractional-order controller are obtained based on the phase margin criterion
the amplitude criterion and the gain robustness criterion. In the numerical simulation
the Oustaloup recursive filter was used to realize the rat
ionalization and approximation of the fractional operator. The dynamic performance of the integer-order controller and the fractional-order controller under the same design criteria were compared under the transverse speed
rotational speed variation and load mutation. The control method was simulated and experimentally verified and the results showed that the system with current-speed double-closed-loop and full-fractional-order PI
λ
D
μ
controller is superior to the system with integer-order PID controller in both tracking and anti-jamming performance. Using the fractional-order vector control system can make the overshoot and settling time of step response be decreased by 24.84% and 7.35%
respectively compared with the integer-order controller
and the dynamic landing of the former is 22.5% of the latter in the input-changeable system. The results show that the proposed method can be applied to the control of high performance vector control system of asynchronous motors.
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