Sensitivity Analysis of MTPA Control to Angle Errors for Synchronous Reluctance Machines

Martin Petrun () and Jernej Černelič
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Martin Petrun: Institute of Electrical Power Engineering, Faculty of Electrical Engineering and Computer Science, University of Maribor, 2000 Maribor, Slovenia
Jernej Černelič: Institute of Electrical Power Engineering, Faculty of Electrical Engineering and Computer Science, University of Maribor, 2000 Maribor, Slovenia

Mathematics, 2024, vol. 13, issue 1, 1-23

Abstract: This study investigated the sensitivity of maximum torque per ampere (MTPA) control in synchronous reluctance machines (SynRMs) to angle errors, examining specifically how deviations in the reference control trajectory affected performance. Analytical and numerical methods were employed to analyze this sensitivity systematically, including the impact of magnetic saturation. Two MTPA control implementation schemes were evaluated, with torque and current amplitude as the reference variables, using a template SynRM from the open-source simulation tool SyR-e. The results indicated that performance sensitivity to angle errors was moderately low near the MTPA trajectory, allowing for significant angle deviations with minimal performance loss. Although magnetic saturation increased this sensitivity slightly, reducing the allowable error range by up to 25%, the maximum angle deviation for up to 1% of the performance decrease still corresponded to approximately ± 3 ∘ around the MTPA trajectory. The findings of this study suggest potential for simplifying control implementations, reducing component costs through less precise position determination (sensor-based or sensorless), and achieving additional control objectives such as torque ripple reduction.

Keywords: control angle error; finite element method; MTPA control; sensitivity to performance decrease; suboptimal operation; synchronous reluctance machines (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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