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

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 t...

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Main Authors: Martin Petrun, Jernej Černelič
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:Mathematics
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Online Access:https://www.mdpi.com/2227-7390/13/1/38
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author Martin Petrun
Jernej Černelič
author_facet Martin Petrun
Jernej Černelič
author_sort Martin Petrun
collection DOAJ
description 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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>±</mo><msup><mn>3</mn><mo>∘</mo></msup></mrow></semantics></math></inline-formula> 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.
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spelling doaj-art-084579e5fdd544ce8005b0ca68b37f132025-01-10T13:18:02ZengMDPI AGMathematics2227-73902024-12-011313810.3390/math13010038Sensitivity Analysis of MTPA Control to Angle Errors for Synchronous Reluctance MachinesMartin Petrun0Jernej Černelič1Institute of Electrical Power Engineering, Faculty of Electrical Engineering and Computer Science, University of Maribor, 2000 Maribor, SloveniaInstitute of Electrical Power Engineering, Faculty of Electrical Engineering and Computer Science, University of Maribor, 2000 Maribor, SloveniaThis 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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>±</mo><msup><mn>3</mn><mo>∘</mo></msup></mrow></semantics></math></inline-formula> 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.https://www.mdpi.com/2227-7390/13/1/38control angle errorfinite element methodMTPA controlsensitivity to performance decreasesuboptimal operationsynchronous reluctance machines
spellingShingle Martin Petrun
Jernej Černelič
Sensitivity Analysis of MTPA Control to Angle Errors for Synchronous Reluctance Machines
Mathematics
control angle error
finite element method
MTPA control
sensitivity to performance decrease
suboptimal operation
synchronous reluctance machines
title Sensitivity Analysis of MTPA Control to Angle Errors for Synchronous Reluctance Machines
title_full Sensitivity Analysis of MTPA Control to Angle Errors for Synchronous Reluctance Machines
title_fullStr Sensitivity Analysis of MTPA Control to Angle Errors for Synchronous Reluctance Machines
title_full_unstemmed Sensitivity Analysis of MTPA Control to Angle Errors for Synchronous Reluctance Machines
title_short Sensitivity Analysis of MTPA Control to Angle Errors for Synchronous Reluctance Machines
title_sort sensitivity analysis of mtpa control to angle errors for synchronous reluctance machines
topic control angle error
finite element method
MTPA control
sensitivity to performance decrease
suboptimal operation
synchronous reluctance machines
url https://www.mdpi.com/2227-7390/13/1/38
work_keys_str_mv AT martinpetrun sensitivityanalysisofmtpacontroltoangleerrorsforsynchronousreluctancemachines
AT jernejcernelic sensitivityanalysisofmtpacontroltoangleerrorsforsynchronousreluctancemachines