This article proposes an analytical formulation of a maximum torque per ampere (MTPA) technique, accounting for the magnetic saturation of the iron core, specifically developed for synchronous reluctance motors (SynRMs). The proposed MTPA is based on a magnetic saturation model of the SynRM, which has been obtained after simplifying a more complete magnetic model, including also cross-saturation effects. This simplified magnetic model, and consequently the proposed MTPA, can be easily parameterized directly starting from a unique set of tests for the off-line identification of the motor, without the need for any complex, time-consuming, and cumbersome finite-element analysis of the machine under test. The proposed MTPA has been tested experimentally on a suitably developed test set-up. Results obtained with the proposed MTPA have been compared experimentally with both the classic MTPA and the real MTPA. Results clearly show that the proposed technique permits a significant increase of the torque per ampere (TPA) with respect to the case of the classic MTPA, which does not consider magnetic saturation. TPA increase varies from 5% at 3 Nm load to 18% at 12 Nm load. Moreover, the loss of maximum torque, with respect to the real MTPA, obtained at the maximum speed and load torque with the proposed MTPA is about 15%, whereas the loss of maximum torque obtained with the classic MTPA is about 38.5%.

中文翻译：

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考虑磁饱和的 SynRM 的最大每安培扭矩 (MTPA) 技术的分析公式

本文提出了每安培最大扭矩 (MTPA) 技术的分析公式，考虑了铁芯的磁饱和，专为同步磁阻电机 (SynRM) 开发。所提出的 MTPA 基于 SynRM 的磁饱和模型，该模型是在简化更完整的磁模型后获得的，还包括交叉饱和效应。这种简化的磁模型以及建议的 MTPA 可以很容易地直接从一组独特的电机离线识别测试开始进行参数化，而无需进行任何复杂、耗时且繁琐的有限元分析被测机器。提议的 MTPA 已经在适当开发的测试装置上进行了实验测试。使用建议的 MTPA 获得的结果已与经典 MTPA 和实际 MTPA 进行了实验比较。结果清楚地表明，相对于不考虑磁饱和的经典 MTPA，所提出的技术允许显着增加每安培扭矩 (TPA)。TPA 增加从 3 Nm 负载下的 5% 到 12 Nm 负载下的 18% 不等。此外，相对于实际 MTPA，使用建议的 MTPA 在最大速度和负载扭矩下获得的最大扭矩损失约为 15%，而使用经典 MTPA 获得的最大扭矩损失约为 38.5%。不考虑磁饱和。TPA 增加从 3 Nm 负载下的 5% 到 12 Nm 负载下的 18% 不等。此外，相对于实际 MTPA，使用建议的 MTPA 在最大速度和负载扭矩下获得的最大扭矩损失约为 15%，而使用经典 MTPA 获得的最大扭矩损失约为 38.5%。不考虑磁饱和。TPA 增加从 3 Nm 负载下的 5% 到 12 Nm 负载下的 18% 不等。此外，相对于实际 MTPA，使用建议的 MTPA 在最大速度和负载扭矩下获得的最大扭矩损失约为 15%，而使用经典 MTPA 获得的最大扭矩损失约为 38.5%。