Harmonic Suppression in Permanent Magnet Synchronous Motor Currents Based on Quasi-Proportional-Resonant Sliding Mode Control
Abstract
:1. Introduction
2. A Harmonic Model of PMSMs
3. The Dynamic Harmonic Compensation Sliding Mode Control Method
3.1. Proportional Resonant Controller
3.2. Design of the Current Error-Quasi-Proportional-Resonant-Sliding Mode Control Surface
3.3. Theoretical Analysis of QPR-Cascaded SMC
3.4. Parameter Design of the Proportional Resonant Filter
- When the proportional gain coefficient decreases, the overall gain of the controller decreases, the phase margin increases, and the effect on bandwidth is minimal.
- Increasing enhances the gain at the resonant frequency, resulting in a faster dynamic response. Different values of primarily affect the attenuation of frequency signals other than at the resonant point; the smaller is, the lower the gain at other frequencies, but it does not impact the gain at the resonant point, thus having a minimal effect on bandwidth.
- Increasing broadens the bandwidth of the resonant gain band without affecting the gain at the resonant point. Conversely, decreasing narrows the bandwidth of the resonant gain band, improving adaptability to frequency variations. Therefore, the cutoff frequency mainly influences the bandwidth of the controller; the smaller is, the better the frequency selection characteristics of the controller. However, due to current frequency fluctuations caused by harmonics in the AC drive system, a smaller results in greater gain fluctuations of the controller, making the system stability more susceptible to influence. Hence, the value of should not be too small.
3.5. Stability Analysis
3.6. System Structure
4. Experimental Verification
4.1. Analysis of the Performance of the Traditional PI Control Method in Current Harmonic Suppression
4.2. Comparison of QPR-PI and QPR-SMC Control Strategies in Current Harmonic Suppression Performance
5. Conclusions
- The resonant frequency of the proportional resonant controller can be designed and adjusted as needed, allowing for selective suppression of harmonics at specific frequencies without causing distortion at other frequencies.
- Traditional QPR-PI controllers have limited effectiveness in dealing with nonlinear disturbances such as dead time and voltage drops, which introduce harmonics, thereby affecting current harmonic suppression. Compared to the traditional QPR-PI feedforward compensation method, the QPR-SMC method results in lower harmonic content and provides better current harmonic suppression, making the stabilized current waveform closely resemble the ideal sinusoidal waveform.
- To verify the correctness of the proposed scheme, a corresponding test platform was established, and comparative experiments were conducted. The results show that this method can adaptively cancel the sixth harmonic component in the stator voltage in the d–q axis system, successfully reducing the fifth and seventh harmonic components in the three-phase current, and significantly mitigating motor torque ripple.
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
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Wu, K.; Zhang, Y.; Lu, W.; Qi, Y.; Shi, W. Harmonic Suppression in Permanent Magnet Synchronous Motor Currents Based on Quasi-Proportional-Resonant Sliding Mode Control. Appl. Sci. 2024, 14, 7206. https://doi.org/10.3390/app14167206
Wu K, Zhang Y, Lu W, Qi Y, Shi W. Harmonic Suppression in Permanent Magnet Synchronous Motor Currents Based on Quasi-Proportional-Resonant Sliding Mode Control. Applied Sciences. 2024; 14(16):7206. https://doi.org/10.3390/app14167206
Chicago/Turabian StyleWu, Kelu, Yongchao Zhang, Wenqi Lu, Yubao Qi, and Weimin Shi. 2024. "Harmonic Suppression in Permanent Magnet Synchronous Motor Currents Based on Quasi-Proportional-Resonant Sliding Mode Control" Applied Sciences 14, no. 16: 7206. https://doi.org/10.3390/app14167206