Current Harmonic Suppression of BLDC Motor Utilizing Frequency Adaptive Repetitive Controller
Abstract
:1. Introduction
- Due to the real sampling number of the delay element in the BLDC, the motor control system is maybe not an integer, the parameters designing process of FARC are studied, and an adaptive internal model controller and a novel decomposition rule for FARC is designed based on Lagrange interpolation theory;
- In order to simplify the control system scheme and obtain the appropriate parameters for the current loop controllers, the Bode diagrams and the Nyquist diagrams of different systems and controllers were analyzed, which can provide the intuitive analysis for the parameter designing process of the current loop;
- To improve the dynamic performance of the control system, a composite controller was proposed through adding a froward channel in the novel current loop. Consequently, the stability and robustness of the composite controller were verified by Lyapunov theorem and minimum gain theory.
2. Analysis of Current Harmonics
2.1. Mathematical Model of BLDC Motor
2.2. Analysis of Harmonic Sources
- The air gap magnetic field harmonics caused by the motor structure.
- The control signal harmonics caused by the dead zone time.
3. Design of FARC
3.1. Adaptive Internal Model Controller
3.2. Novel Decomposition Rule
4. Analysis of the Novel Current Loop Controllers Parameters
4.1. PIC
4.2. FARC
4.3. Composite Controller
4.4. Analysis of the Control System Stability and Robustness
5. Simulation
5.1. Steady-State Performance
5.2. Dynamic Performance
6. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
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M = 1 | M = 2 | M = 3 | |
---|---|---|---|
l(0) | 1−d | (d−1) (d−2)/2 | −(d−1) (d−2) (d−3)/6 |
l(1) | d | −d(d−2) | d(d−2) (d−3)/2 |
l(2) | 0 | d(d−1)/2 | −d(d−1) (d−3)/2 |
l(3) | 0 | 0 | −d(d−1) (d−2)/6 |
Parameter | Value |
---|---|
DC voltage | 24 V |
Resistance | 0.6 Ω |
Inductance | 2 mH |
Pole pairs | 4 |
Sampling frequency | 10 kHz |
Rated speed | 1500 rpm |
Rated torque | 0.3 N·m |
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Yuan, T.; Zhang, Y. Current Harmonic Suppression of BLDC Motor Utilizing Frequency Adaptive Repetitive Controller. Machines 2022, 10, 1071. https://doi.org/10.3390/machines10111071
Yuan T, Zhang Y. Current Harmonic Suppression of BLDC Motor Utilizing Frequency Adaptive Repetitive Controller. Machines. 2022; 10(11):1071. https://doi.org/10.3390/machines10111071
Chicago/Turabian StyleYuan, Tianqing, and Yupeng Zhang. 2022. "Current Harmonic Suppression of BLDC Motor Utilizing Frequency Adaptive Repetitive Controller" Machines 10, no. 11: 1071. https://doi.org/10.3390/machines10111071
APA StyleYuan, T., & Zhang, Y. (2022). Current Harmonic Suppression of BLDC Motor Utilizing Frequency Adaptive Repetitive Controller. Machines, 10(11), 1071. https://doi.org/10.3390/machines10111071