考虑交叉耦合影响的内置式永磁同步电机电感计算及转矩分析

doi:10.19595/j.cnki.1000-6753.tces.221385

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Abstract

The electromagnetic torque of an interior permanent magnet synchronous machine (IPMSM) mainly consists of two components: permanent magnet torque and reluctance torque. The accurate separation and analysis of the components of the torque can help to further optimize the topology of the machine and improve the power density of the machine. The key to accurate analysis of the components of the electromagnetic torque is the accurate calculation of the d,q-axis inductance. In this paper, an IPMSM with 8 poles and 11 kW is used as an example to solve the practical problems of solving the d、q-axis inductance and analyzing the torque components. By comparing and analyzing two kinds of inductance solving methods, static magnetic field solving inductance and transient field solving inductance, an improved method of quickly solving the inductance by the static magnetic field is presented, which achieves high-precision separation and extraction of machine torque components and prediction of electromagnetic torque components in the stage of electromagnetic design.
The improved method for solving the d、q-axis inductance by the static magnetic field is to determine the current lead angle according to different d、q-axis current combinations, and then convert the mechanical angle of the machine to the current lead angle and transform the mechanical relative position of the stator and rotor to control the machine operation under different current amplitudes or current lead angles. Then, the three-phase flux linkage under different d,q-axis current combinations is obtained by finite element calculation, and the d、q-axis flux linkage is obtained by Park's transformation of the three-phase flux linkage. Finally, the d,q-axis inductance is obtained by simultaneous solving the d,q-axis flux linkage, and the permanent magnet flux linkage is obtained by using the frozen permeability method. The improved method for solving the inductance of static magnetic fields can take into account both the cross-coupling effect and the saturation effect under different loads. In addition, the d、q-axis inductance calculated by the above method is combined with the electromagnetic torque equation considering the effect of magnetic saturation and cross-coupling, and the torque prediction model can achieve high-precision separation and extraction of machine torque components and prediction of electromagnetic torque components in the stage of electromagnetic design
The d,q-axis inductances of the target prototype are solved by the transient field method and the improved static magnetic field method respectively. The relative errors of the d,q-axis inductances solved by the two methods are within 6%. Compared with the transient field method, the improved static magnetic field method reduces the simulation steps by 96.08% and the calculation time by 96.14%, It shows that the improved method for solving inductance by the static magnetic field can effectively reduce the number of simulation steps and shorten the simulation time. Finally, an experimental test platform is built to test the torque of the target prototype under different operating point currents and compared with the results of the above prediction model, the relative errors between the measured torque and the predicted torque are within 3%. Taking the working condition of the prototype under the rated current as an example, the electromagnetic torque of the machine output at different current lead angles of 0 ° to 180 ° is separated. At the same time, the composition of the maximum electromagnetic torque obtained by the maximum torque current ratio control logic is analyzed. In the composition, the value of the reluctance torque is 2.55 N · m, accounting for about 3.72%; and the value of the permanent magnet torque is 66.07 N·m, accounting for about 97.20%. Moreover, by comparing the separated torque components, the maximum reluctance torque of the prototype can reach about 11 N. m, while the actual reluctance torque at the maximum electromagnetic torque point is 2.55 N·m, which shows that the magnetic barrier design of this prototype still has a large space for optimization, and the torque density of the target machine can be further improved by optimizing the rotor structure on the original basis in combination with the fast torque analysis and prediction model in this paper. The experimental results verify the accuracy and validity of the new method.

Key words： Permanent magnet synchronous machines inductance calculation torque analysis finite element analysis

Received: 19 July 2022

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TM351

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	Li Shihao
	Di Chong
	Liu Jiwei
	Bao Xiaohua

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Li Shihao,Di Chong,Liu Jiwei等. Inductance Calculation and Torque Analysis of Interior Permanent Magnet Synchronous Machine Considering Cross-Coupling Effects[J]. Transactions of China Electrotechnical Society, 0, (): 230615-230615.

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