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IPMSM Model Predictive Current Control Method Based on a Novel Virtual Vector Modulation Method |
Wang Yizhe, Huang Sheng, Liao Wu, Zhang Ji, Huang Shoudao |
College of Electrical & Information Engineering Hunan University Changsha 410082 China |
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Abstract The model predictive control method has been widely applied to control internal permanent magnet synchronous motors (IPMSM). Conventional model predictive control methods only select voltage vectors from the basic voltage vector, resulting in a restricted number of candidate voltage vectors, which can generate large current and torque harmonics during motor operation. To increase the number of candidate voltage vectors, some studies have proposed methods for constructing virtual voltage vectors. However, the computational burden of the system will increase with the increase in the virtual vectors number, posing constraints on control performance. Therefore, this paper proposes a novel virtual voltage vector modulation method, which reduces the system computational burden by calculating the angle of the voltage vector. The specific steps of the proposed method are as follows. First, coordinate transformation is performed on the command voltage vector, and the command voltage vector is normalized by incorporating the magnitude of the DC bus voltage. Then, the sector in which the command voltage vector is located is determined by the coordinate values. The composite relationship between the command voltage vector and the adjacent two basic voltage vectors is obtained. Accordingly, the angle of the command voltage vector in the sector is obtained, and the voltage vector processing is equivalent to the first voltage sector. Subsequently, each voltage sector is evenly divided into N parts to construct virtual voltage vectors, and the virtual voltage vectors in the first voltage sector are numbered. The virtual voltage vector with the closest angle to the command voltage vector is selected through the rounding function. Finally, the optimal duty cycle is obtained through the cost function. The opening time of each phase of the three-phase switch is calculated based on the obtained optimal voltage vector number and duty cycle. Experiments on an IPMSM are conducted with a rated power of 1.5 kW to verify the proposed method. The experimental results show that under steady-state conditions, compared to the predictive control method using a limited number of voltage vectors, this method reduces the harmonic content of the three-phase current by up to 3.4%. Moreover, when the number of sector partitions N is large enough, the proposed method approaches the current control performance of the deadbeat predictive current control using SVPWM modulation at different speeds. In dynamic situations, the proposed method demonstrates faster dynamic response and smaller current harmonics during sudden changes in torque and speed. In addition, as the traversal optimization process is omitted, the proposed method effectively reduces the system execution time, and the execution time of the system is the same for different N values. In conclusion, the proposed method simplifies the modulation process of the model predictive control method and avoids complex calculations caused by traversal optimization, enabling an unrestricted increase in virtual voltage vectors.
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Received: 01 February 2023
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